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Use this arrow to go to 5th grade math standards 6th Grade Math Standards Use this arrow to go to 7th grade math standards
Mathematical Processes | Number & Operations | Algebra | Geometry & Measurement | Data Analysis, Statistics, and Probability | Review Help
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Worksheet Generator - This web site will allow you to create printable math worksheets from your browser.
(addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)

A resource for the teacher to use in planning their lessons site for teachers | A PowerPoint show related to this standard PowerPoint show | An Adobe Acrobat document in .pdf format Acrobat document | A Microsoft Word document to be downloaded Word document | This interactive site would work well on an interactive whiteboard whiteboard resource | This resource includes voice instructions for students sound | A video is available through this link video format | This site is interactive and allows students to play a game or input or collect data interactive lesson | This site includes questions for your students to check their understanding a quiz | A lesson plan can be found at this site lesson plan | This link includes something for the teacher to print to print
Links verified 5/18/2009
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Usee this arrow to go to older math standards for 6th grade Resources for Prior Standards

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Mathematical Processes
Checks for Understanding (Formative/Summative Assessment)
6.1.1 | 6.1.2 | 6.1.3 | 6.1.4 | 6.1.5 | 6.1.6 | 6.1.7 | 6.1.8 | 6.1.9 | 6.1.10 | 6.1.11

Calculator and Spreadsheet Conventions - Recognize different conventions used in calculator and computer spreadsheets (e.g., * for multiplication, ^ for exponent), but use mathematical notation in written work.
0606.1.1

  1. 16 function Scientific Calculator - includes instructions on calculator conventions This site is interactive and allows students to play a game or input or collect data
  2. Coolmath's Graphing Calculator - scroll down for instructions on using the graphing calculator This site is interactive and allows students to play a game or input or collect data
  3. Excel Order of Operations - understanding how Excel worksheets handle order of operations [BEDMAS]
  4. Math Open Reference Scientific Calculator - scientific calculator similar to those from TI, Casio, HP - extensive explanation of conventions used This site is interactive and allows students to play a game or input or collect data
  5. Mathematical Operators in Excel Spreadsheets - screen shots and a listing of symbols used in Excel spreadsheets to indicate math operators
  6. Spreadsheet Math Fundamentals - protocols to be used when writing math formulas and functions in spreadsheets
Estimate - Recognize when an estimate is more appropriate than an exact answer in a variety of problem situations.
0606.1.2
  1. Comparison Estimator - Similar to Estimator but compares two sets of objects. This site is interactive and allows students to play a game or input or collect data
  2. Developing Estimation Strategies by Making Connections among Number, Geometry, Measurement, and Data Concepts: Estimating Scoops - NCTM lesson plan A lesson plan can be found at this site
  3. Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math. This site includes questions for your students to check their understanding
  4. Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
  5. Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance) This site is interactive and allows students to play a game or input or collect data
  6. Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
  7. How Big are Things - a printable cube to be used in making size estimations [several versions] This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
  8. How to Simplify a Number - part of being approximate is simplifying numbers
  9. Million Dollar Mission - a mathematics fantasy
  10. More or Less Estimator - Similar to Estimator activity but states a quantity and asks the user to estimate whether the set of objects is more or less than the number given. This site is interactive and allows students to play a game or input or collect data
  11. Pinocchio estimation game - suggested game for developing the skill of estimation A lesson plan can be found at this site
  12. Scaling the Universe to Your Desktop - estimating size
  13. Spy Guys Interactive - Rounding Numbers - Lesson 9 A video is available through this link
  14. Weigh the Wangdoodles - Your job is to find the weight of each Wangdoodle using the information provided by the scales. To be successful, you will have to make sure that the weight you assign to each Wangdoodle works on each scale. This activity is a fun but challenging introduction to multiple algebraic equations. This site is interactive and allows students to play a game or input or collect data
  15. Word problems - quiz about adding and subtracting fractions This site includes questions for your students to check their understanding
  16. Your Body as a Ruler - a user's manual
Rounding Errors - Recognize errors generated by rounding.
0606.1.3
  1. Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
  2. Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
  3. Round About - estimate by rounding. (Author - Sandi King) This site is interactive and allows students to play a game or input or collect data
  4. Rounding Off - Three levels are available in this game from BBC Education This site is interactive and allows students to play a game or input or collect data
Variables - Describe how changes in one quantity or variable result in changes in another.
0606.1.4
  1. Algebra I Recipe: Solving an Equation with Variables on Both Sides (Multi-Step Equations) - explanation and examples
  2. Practice problems in solving an equation with variables on both sides - ten practice problems, answers are checked This site includes questions for your students to check their understanding
  3. Solving an Equation - practice at manipulating expressions and finding the value of variables
Equivalent Expressions - Illustrate properties of operations by showing that two expressions are equivalent in a given context (e.g., using an area model for distributive property, and grouping/set models for commutative and associative properties).
0606.1.5
  1. Area Models for Multiplication and Division - an Annenberg lesson plan from their Learning Math series A lesson plan can be found at this site
  2. Basic Number Properties: Associative, Commutative, and Distributive - explanation from Purple Math
  3. Commutative Property - addition and multiplication properties are explained using an animated image
  4. Commutative Property - explanation and examples
  5. A PowerPoint show related to this standardCommutative & Associative Properties - this PowerPoint show includes a ten question quiz with answers This site includes questions for your students to check their understanding
  6. Commutativity - the ability to change the order of something without changing the end result [Wikipedia]
  7. Distributive Property - uses animated images to help explain the property
  8. Distributive Property - short animation that loops
  9. A PowerPoint show related to this standardDistributive Property - five slide PowerPoint show which uses animation very effectively
  10. Number Properties - from Online Math Learning
  11. A PowerPoint show related to this standardUse the distributive property to simplify numerical and variable expressions - an eleven slide PowerPoint show which use animation effectively to teach the concept
  12. A PowerPoint show related to this standardWhich Property - quiz in the form of a PowerPoint show This site includes questions for your students to check their understanding
Experiments and Simulations - Model situations by devising and carrying out experiments and simulations.
0606.1.6
  1. Algebra Puzzle - Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column. That makes the puzzle easier to solve. Other times, you will have to look for relationships among the objects. This site is interactive and allows students to play a game or input or collect data
Real World Data - Formulate questions, design studies, and collect real world data.
0606.1.7
  1. Data Sources on the Web - over 40 places where your students can collect real world data
  2. Real Estate Lesson: Monthly Payments - The purposes of this lesson are give students opportunities to find collect real world data regarding real estate in major cities from the Web A lesson plan can be found at this site
Test a Hypothesis - Determine an appropriate sample to test an hypothesis.
0606.1.8
  1. A resource for the teacher to use in planning their lessonsStudent Designed Investigations Part 2 - Testable Questions, Predictions, Materials and Procedures [lesson plan designed for grades 3-5] A lesson plan can be found at this site
  2. A resource for the teacher to use in planning their lessonsStudent Designed Investigations Part 3 - Collecting Data and Drawing Conclusions [lesson plan designed for grades 3-5] A lesson plan can be found at this site
Books, Stories, and Videos - Use age-appropriate books, stories, and videos to convey ideas of mathematics.
0606.1.9
  1. Brian P. Cleary - author of books conveying math ideas - Mission of Addition, The, Action of Subtraction, The, How Long or How Wide?: A Measuring Guide
  2. Children's Picture Book Database at Miami University - type in math or numbers in the search box.
  3. Flatland: A romance of many dimensions - fifty-five pages if printed
  4. Literature for Learning Math Concepts - using books to teach math
  5. Note of Caution: the books below are not available to read online, they are given as a reading list only
    1. Fiction about Math - a 3 page reading list in MS Word format A Microsoft Word document to be downloaded
    2. Math Month in the Library - article about books to consider
    3. Math Novels - use this list of novels as a reading list rather than a shopping list
    4. Math and Science Related Books - a reading list from Math Forum
    5. Mathematical Fiction - large database of titles
    6. Mathematics fiction books - Wikipedia index to articles about 19 books
    7. Mathematics in Fiction - a reading list of novels in which mathematics play a large role
Triangles and Quadrilaterals - Use various methods (such as dynamic geometry software) to explore properties of triangles and quadrilaterals.
0606.1.10
  1. Exploring Properties of Rectangles and Parallelograms Using Dynamic Software - an environment in which students can explore geometric relationships and make and test conjectures This site is interactive and allows students to play a game or input or collect data
  2. Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM) This site is interactive and allows students to play a game or input or collect data A lesson plan can be found at this site
  3. Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data & This site includes questions for your students to check their understanding
Modeling - Model algebraic expressions with manipulatives, technology, and pencil and paper.
0606.1.11
  1. Activities at Illuminations - Illuminations has 102 activities available. Select which types of activities you’re looking for, and click Search.
  2. Base 10 Blocks - virtual manipulative This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  3. Colored Chip Models - use manipulatives to model addition, subtraction, multiplication, and division with positive and negative integers [includes two practice problems] A lesson plan can be found at this site
  4. Electronic Examples - index of manipulatives from NCTM
  5. GeoBoard - this two-part example describes activities that use interactive geoboards This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  6. Integer Bars - learning fractions and more with on-line manipulatives This site is interactive and allows students to play a game or input or collect data
  7. National Library of Virtual Manipulatives - select topic and grade level to find appropriate manipulatives
  8. Pattern Blocks Program - use tools to solve a variety of problems This site is interactive and allows students to play a game or input or collect data
  9. Tangrams - interactive geometric site This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  10. Teacher Dodgeball - fill in numbers on an equation - Each blank of the equation stands for a number on a teacher. Hit the teacher with the number that goes next in the equation by clicking on them. This site is interactive and allows students to play a game or input or collect data
  11. Virtual Manipulatives - a list of various manipulatives for grades 1-6
  12. Wolfram Demonstrations Project - a free resource of interactive visualizations from elementary education to the frontiers of research
State Performance Indicators
6.1.1 | 6.1.2 | 6.1.3 | 6.1.4 | 6.1.5
Conjectures and Predictions - Make conjectures and predictions based on data.
SPI 0606.1.1
  1. Grab a Hand full - [6 pages] student worksheet - collect and use data to make predictions about how much popcorn would be in a hand full An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  2. Graphing Skittles - [2 pages] student worksheet - collect data to predict how many skittles are in a snack bag of skittles An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  3. How Does Math Help Us Make Predictions? - an article from the Math Worksheets Center site
  4. Mystery - Estimation - [5 pages] student worksheet - use data from samples to estimate a characteristic found in a population An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  5. Predictions Based on Data - a video lesson A video is available through this link
Estimates and/or Computations - Judge the reasonableness of the results of rational number estimates and/or computations.
SPI 0606.1.2
  1. Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
  2. Review Rules for Working with Rational Numbers - two interactive sections are provided, look for the blue blocks This site is interactive and allows students to play a game or input or collect data
Integers - Use concrete, pictorial, and symbolic representation for integers.
SPI 0606.1.3
  1. Teacher Dodgeball - fill in numbers on an equation - Each blank of the equation stands for a number on a teacher. Hit the teacher with the number that goes next in the equation by clicking on them. This site is interactive and allows students to play a game or input or collect data
Arithmetic Properties - Select the representation that models one of the arithmetic properties (commutative,
associative, or distributive).
SPI 0606.1.4
  1. Area Models for Multiplication and Division - an Annenberg lesson plan from their Learning Math series A lesson plan can be found at this site
  2. Basic Number Properties: Associative, Commutative, and Distributive - explanation from Purple Math
  3. Commutative Property - addition and multiplication properties are explained using an animated image
  4. Commutative Property - explanation and examples
  5. A PowerPoint show related to this standardCommutative & Associative Properties - this PowerPoint show includes a ten question quiz with answers This site includes questions for your students to check their understanding
  6. Commutativity - the ability to change the order of something without changing the end result [Wikipedia]
  7. Distributive Property - uses animated images to help explain the property
  8. Distributive Property - short animation that loops
  9. A PowerPoint show related to this standardDistributive Property - five slide PowerPoint show which uses animation very effectively
  10. Number Properties - from Online Math Learning
  11. A PowerPoint show related to this standardUse the distributive property to simplify numerical and variable expressions - an eleven slide PowerPoint show which use animation effectively to teach the concept
  12. A PowerPoint show related to this standardWhich Property - quiz in the form of a PowerPoint show This site includes questions for your students to check their understanding
Algebra Tiles - Model algebraic expressions using algebra tiles.
SPI 0606.1.5
  1. A PowerPoint show related to this standardAlgebra Tiles - 8 slide PowerPoint show on using tiles with expressions involving exponents
  2. A PowerPoint show related to this standardAlgebra Tiles - 33 slide PowerPoint show on using tiles with addition, subtraction, multiplication or division
  3. Algebra Tiles - from the National Library of Virtual Manipulatives This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  4. Homemade Tiles for Algebra - includes a template to print your own
  5. Interactive Algebra Tiles - use this to model an equation or to solve an equation
  6. A PowerPoint show related to this standardLet's Do Algebra Tiles - 54 slide PowerPoint show giving examples
  7. A PowerPoint show related to this standardModeling Addition of Polynomials with Algebra Tiles - a 13 slide PowerPoint show
  8. Working with Algebra Tiles - Math Bits provides instructions and a template
  9. Working with Algebra Tiles PowerPoint show - 54 slides in an online format

5th grade number and operations standards Number and Operations 7th grade number and operations standards
Checks for Understanding (Formative/Summative Assessment)
6.2.1 | 6.2.2 | 6.2.3 | 6.2.4 | 6.2.5 | 6.2.6 | 6.2.7 | 6.2.8 | 6.2.9 | 6.2.10
Fractions, Decimals and Percents - Efficiently compare and order fractions, decimals and percents; determine their approximate locations on a number line.
0606.2.1
  1. Comparing Exponential Expressions - select, <, >, or = This site includes questions for your students to check their understanding
  2. Comparing Fractions Fact sheets - seven fact sheets are available
  3. Comparing Fractions Game - three levels are available This site is interactive and allows students to play a game or input or collect data
  4. Comparing Fractions Games - two games; Dolphin Racing, and Ordering Game This site is interactive and allows students to play a game or input or collect data
  5. Comparing Fractions Quiz - three levels are available This site includes questions for your students to check their understanding
  6. Comparing Fractions Worksheets - four worksheets available This link includes something for the teacher to print
  7. Comparing Integers - Comparing integers with absolute values This site is interactive and allows students to play a game or input or collect data
  8. Comparing Numbers Fact sheets - five sheets to print
  9. Comparing Numbers Quiz - three levels available This site includes questions for your students to check their understanding
  10. Comparing Numbers Worksheet - three sheets to print This link includes something for the teacher to print
  11. A resource for the teacher to use in planning their lessonsComparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two-digit decimal values. This link includes something for the teacher to print
  12. Computation Castle - a game that requires the utilization of several math skills: mixed numbers/improper fractions, equivalent fractions, metric conversions, exponents, rounding to the nearest thousands and thousandths and place value This site is interactive and allows students to play a game or input or collect data
  13. Decimal Number Lines - Three whiteboard resources to assist in the teaching and learning of decimals; zero to one, zero to ten, and a decimal number line. This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  14. Evaluating Expressions - a four step lesson This site is interactive and allows students to play a game or input or collect data
  15. Evaluating Expressions - Get out your pencils and calculators and give these a try! This site includes questions for your students to check their understanding
  16. Fraction Sorter - interactive site posted by Shodor This site is interactive and allows students to play a game or input or collect data
  17. Greater, Less Than, or the Same - Compare these decimals This site is interactive and allows students to play a game or input or collect data
  18. Ordering Decimal Numbers - click and drag the numbers to put them in order from least to greatest This site is interactive and allows students to play a game or input or collect data
  19. Ordering Decimal Numbers II - click and drag the numbers to put them in order from least to greatest This site is interactive and allows students to play a game or input or collect data
  20. Percent with a Calculator - after the lesson there are problems to work This site includes questions for your students to check their understanding
  21. Put Numbers in Order Game - three levels are available sort 4, 6 or 8 numbers This site is interactive and allows students to play a game or input or collect data
  22. Put Whole Numbers in Order - Three or more numbers can be placed in order. A number may come before the other numbers or it may come between them or after them This site is interactive and allows students to play a game or input or collect data
  23. Spy Guys Interactive - Understanding Integers - Lesson 6 A video is available through this link
  24. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol This site is interactive and allows students to play a game or input or collect data
Multiply Fractions - Use area models to represent multiplication of fractions.
0606.2.2
  1. Multiply fractions - circles, mixed number times a whole number
  2. Multiplying and Dividing Fractions - five multiple choice questions This site includes questions for your students to check their understanding
  3. Multiply fractions - with circles,mixed number times a whole number This site is interactive and allows students to play a game or input or collect data
  4. Multiplying Rational Fractions - five question quiz - (answers provided in a pop-up window) This site includes questions for your students to check their understanding
  5. Multiplying Fractions - Soccer Shootout - [Caution: the answer must be reduced to be graded as correct. For example; 2/3 not 4/6.] (FunBrain activity) This site is interactive and allows students to play a game or input or collect data
Contextual Problems - Create and solve contextual problems that lead naturally to division of fractions.
0606.2.3
  1. Divide fractions - using circles, will show visually how the divisor will fit into the dividend a whole number of times This site is interactive and allows students to play a game or input or collect data
  2. Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations. This site is interactive and allows students to play a game or input or collect data
Ratio - Understand ratio as a fraction used to compare two quantities by division.
0606.2.4
  1. Algebra: Proportion Word Problems - explanation and examples [direct and inverse proportion explained]
  2. All About Ratios - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  3. All About Ratios - links to several lessons by Cynthia Lanius A lesson plan can be found at this site
  4. All About Ratios: (Problem Solving) - A famous Texas chef has a secret recipe for her chili. When people ask her for it, she hands them a card with the complete recipe except for 1 detail. For the missing detail, she gives them a clue. Use ratios to discover the missing ingredient.
  5. Cat and Mouse: Direct and inverse proportion - The problem is actually a great opportunity to teach direct variation and inverse variation.
  6. Comparing Ratios and Rates - five multiple choice questions This site includes questions for your students to check their understanding
  7. Determine the number based on the ratio - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  8. Determining the Ratio - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  9. Dirt Bike Proportions - a multi-player tug of war game for proportions This site is interactive and allows students to play a game or input or collect data
  10. Figure This: Math Challenge for Families - proportional reasoning
  11. Interpreting and Applying Proportions - five multiple choice questions This site includes questions for your students to check their understanding
  12. Learning ratios and proportions through scale drawings - a text lesson plan A lesson plan can be found at this site
  13. Math for Morons Like Us - a ThinkQuest entry on ratio
  14. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems A video is available through this link
  15. Percentages and Proportions - five multiple choice questions This site includes questions for your students to check their understanding
  16. Percents and Ratios - AAA math site with many interactive quizzes - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  17. Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  18. Percent with a Calculator - after the lesson there are problems to work This site includes questions for your students to check their understanding
  19. Practice with Ratios - ten questions, each with answer and explanation available in pull down menus This site includes questions for your students to check their understanding
  20. Proportion Practice Test - thirteen multiple choice questions This site includes questions for your students to check their understanding
  21. Proportions and Ratios - good explanation of means and extremes from Free Math
  22. Rags to Riches: Ratio and Proportion Quiz - quiz at Quia This site includes questions for your students to check their understanding
  23. Rates, Ratios, and Proportions - a two person quiz from Quia This site includes questions for your students to check their understanding
  24. Ratio Blaster - a single player game for matching ratios This site is interactive and allows students to play a game or input or collect data
  25. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
  26. Ratio and Proportion - math review practice exercises This site includes questions for your students to check their understanding
  27. Ratio and Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.)
  28. Ratio and Proportion - explanation and examples
  29. Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems This site includes questions for your students to check their understanding
  30. Ratio and Proportion Quiz - play this game to practice writing ratios This site is interactive and allows students to play a game or input or collect data
  31. Ratio Exercises: Dolls : Camera] | Same ratio -- Fish : Atom | Different ratio -- Spider : Lizard | Different ratio -- Dots : Stars | 2 Dolls for every 1 Camera | 3 Atoms for every 2 Fish | [How Many Spiders do You Have? | Which Way Gives More Pizza? This site includes questions for your students to check their understanding
  32. Ratio Proportion Calculator - Enter the known and unknown values from your proportion problem. In classic algebraic format, place an x in the box where the value is unknown. Then select Calculate and click on it. This site is interactive and allows students to play a game or input or collect data
  33. Ratio Stadium - a multi-player racing game for ratios This site is interactive and allows students to play a game or input or collect data
  34. Ratios - a six page module from Purple Math
  35. Ratios and Proportions - an interactive lesson in a slide show format This site is interactive and allows students to play a game or input or collect data
  36. A PowerPoint show related to this standardRatios and Proportions - an 18 slide PowerPoint show
  37. A PowerPoint show related to this standardRatios and Proportion Review - a 12 slide PowerPoint show
  38. Reduce Ratios to Lowest Terms - interactive quiz - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  39. Review of Proportion - examples and practice problems
  40. Review of Ratios - examples and practice problems
  41. Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
  42. Spy Guys Interactive - Ratio - Lesson 3 A video is available through this link
  43. A resource for the teacher to use in planning their lessonsTeaching Ratios and Proportions - suggestion for teachers and parents
  44. Using Proportions - five multiple choice questions This site includes questions for your students to check their understanding
Ratio Notation - Recognize a:b, a/b, and “a to b” as notations for ratios.
0606.2.5
  1. Percent Notation - a table showing percent notation, ratio notation, and number notation helps students recognize equivalent forms of notation
  2. Ratio Notation - this Wolfram Demonstrations Project allows students to watch a web preview or download a live version
  3. Ratios - Purple Math explanation about how proportions are built from ratios
Common Percentages - Recognize common percentages as ratios based on fractions whose denominators are 2, 3, 4, 5, or 10.
0606.2.6
  1. Calculate percent - Discover relationships between fractions, percents, and decimals This site is interactive and allows students to play a game or input or collect data
  2. Chances Are - predict the likelihood of events using a circle graph with percentages as a model (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
  3. Finding a percent of a quantity - five multiple choice questions This site includes questions for your students to check their understanding
  4. Fraction Bar - add a bar then break it into fractions, decimals, or percents This site is interactive and allows students to play a game or input or collect data
  5. Fractions, Decimals or Percent - two are given, you supply the third This site includes questions for your students to check their understanding
  6. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall This site is interactive and allows students to play a game or input or collect data
  7. Percent Game - Funbrain site This site is interactive and allows students to play a game or input or collect data
  8. Percent Problems - a one-player, or two-player game from Quia This site includes questions for your students to check their understanding
  9. Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math) This site is interactive and allows students to play a game or input or collect data
  10. Percents and Wholes - five multiple choice questions This site includes questions for your students to check their understanding
  11. Percent with a Calculator - after the lesson there are problems to work (don't run your mouse over the colored blocks until you have an answer in mind)
  12. Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent)
  13. Practice Solving Percent Problems - fifteen questions, answers available from a drop down menu This site includes questions for your students to check their understanding
  14. Shopping at Troy's Toys - percent shopping This site is interactive and allows students to play a game or input or collect data
  15. Solving Percent Problems Using a Pyramid Grid - an interactive lesson
  16. Spy Guys Interactive - Percent - Lesson 4 A video is available through this link
  17. Using percents - five multiple choice questions This site includes questions for your students to check their understanding
  18. Using the Proportion Method to Solve Percent Problems - practice problems at the end This site includes questions for your students to check their understanding
  19. What percentage has been shaded - Guess the percent of the shaded pie chart
  20. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment A lesson plan can be found at this site
Ratio and Rate - Connect ratio and rate to multiplication and division.
0606.2.7
  1. Ratio Blaster - a single player game for matching ratios This site is interactive and allows students to play a game or input or collect data
  2. A PowerPoint show related to this standardRatio Rate and Proportion - [45 slides] a well designed PowerPoint show which teaches the differences between ratio, fraction, and proportion with a large number of practice problems
Terminating Decimal - Recognize that a terminating decimal equals a fraction with a denominator that is a power of ten.
0606.2.8
  1. Terminating Decimal - definition and examples with solutions from iCoach Math
  2. Terminating Decimals Worksheet - terminating decimals only (denominators of 2-20) This link includes something for the teacher to print
  3. Terminating Decimals Worksheet - terminating and repeating decimals (denominators of 2-20) This link includes something for the teacher to print
  4. Terminating Decimals Worksheet - write terminating decimals as fractions This link includes something for the teacher to print
Rational Number - Recognize that the decimal form of a rational number either terminates or repeats.
0606.2.9
  1. Rational Numbers on a Number Line - explanation and examples
    1. Practice problems to go with the lesson This site includes questions for your students to check their understanding
  2. A resource for the teacher to use in planning their lessonsRational Numbers on a Number Line - a 1 page document from Glencoe Publishers; with explanation, examples, and practice problems An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  3. A resource for the teacher to use in planning their lessonsRational Numbers on a Number Line - a 13 page document with examples and sample problems An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  4. A PowerPoint show related to this standardRational Numbers on a Number Line - a 22 slide PowerPoint show with good sample questions
  5. Review Rules for Working with Rational Numbers - two interactive sections are provided, look for the blue blocks This site is interactive and allows students to play a game or input or collect data
Negative Numbers - Explore contexts that can be described with negative numbers (such as money, elevation, and temperature).
0606.2.10
  1. Understanding Numbers - basic and key Skill builder sixteen page workbook which used negatives in describing temperature, money, and elevation [UK units used] A Microsoft Word document to be downloaded This link includes something for the teacher to print
  2. Winter in Queenstown - an activity which asks students to explain the meaning of negative numbers and sketch and interpret graphs which represent everyday situations
  3. Working with Negative Numbers - seven page worksheet on working with negative temperatures and money [US units used] A Microsoft Word document to be downloaded This link includes something for the teacher to print
State Performance Indicators
6.2.1 | 6.2.2 | 6.2.3 | 6.2.4 | 6.2.5 | 6.2.6 | 6.2.7 | 6.2.8
Multiply and Divide Fractions - Solve problems involving the multiplication and division of fractions.
SPI 0606.2.1
  1. Division of Fractions
    1. Divide Two Fractions - This page will show you how to divide two fractions. There are three combinations of this. 1) Dividing two "normal" fractions, 2) Dividing a mixed number by a fraction, and 3) Dividing two mixed numbers. Fill in the boxes for the type of problem you need below, then click "Divide." This site is interactive and allows students to play a game or input or collect data
    2. Divide Fractions With Lines - instruction and practice in dividing fractions. Each example will show visually how the divisor will fit into the dividend a whole number of times. This site is interactive and allows students to play a game or input or collect data
    3. Divide Fractions With Circles - instruction and practice in dividing fractions. Each example will show visually how the divisor will fit into the dividend a whole number of times. This site is interactive and allows students to play a game or input or collect data
    4. Divide Fractions-Strict - will give more instruction and practice in dividing fractions. Each quotient might be a number less than one or a mixed number larger than one. The quotient must be entered in lowest terms. This site is interactive and allows students to play a game or input or collect data
    5. Dividing Fractions - animated explanation from Math is Fun
    6. Dividing Fractions - The Math Page provides eight examples of dividing fractions
    7. Dividing Fractions - index of lessons on dividing fractions
    8. Dividing Fractions by Fractions - explanation, interactive practice and a timed quiz at AAA Math This site includes questions for your students to check their understanding
    9. Dividing Fractions - Practice Problems - Thirty-four practice problems from the Math Page. This site includes questions for your students to check their understanding
  2. Multiplication of Fractions
    1. Fractions: Rectangle Multiplication - interactive site from the National Library of Virtual Manipulatives This site is interactive and allows students to play a game or input or collect data
    2. Index of Lessons - several lessons on a variety of concepts involving multiplying or dividing fractions from AAA Math
    3. Multiply Two Fractions - This page will show you how to multiply two fractions together. Fill in only one of the three boxes below, with the form that most closely matches the problem you’re working on. This site is interactive and allows students to play a game or input or collect data
    4. Multiply with Circles - an interactive site from Visual Fractions - Each example will have a mixed number times a whole number. This site is interactive and allows students to play a game or input or collect data
    5. Multiply Fractions with Lines - an interactive site from Visual Fractions - Each example will have a mixed number times a whole number. This site is interactive and allows students to play a game or input or collect data
    6. Multiply Fractions - Strict - an interactive site from Visual Fractions - These examples will have a mixed number times a mixed number. The product must be entered as a mixed number and in lowest terms. This site is interactive and allows students to play a game or input or collect data
    7. Multiplying and Reducing Fractions - Select the max value for the numerators and denominators in the multiplication problems and press the Start button. This site includes questions for your students to check their understanding
    8. Multiplying Fractions - Math Playground invites you to play with numbers and give your brain a workout. This site is interactive and allows students to play a game or input or collect data
    9. Multiplying Fractions - The Math Page provides 14 examples of multiplying fractions
    10. Multiplying Fractions - Practice Problems - Thirty-nine practice problems from the Math Page. This site includes questions for your students to check their understanding
    11. Multiplying Fractions - animated explanation from Math is Fun
    12. Multiplying Fractions - a four part lesson; introduction, in depth, examples, and practice problems (called workout at Math.com)
    13. Multiplying Fractions - explanation, interactive practice and a timed quiz at AAA Math This site includes questions for your students to check their understanding
    14. Soccer Shootout - This FunBrain game lets students practice the skill of multiplying fractions. This site includes questions for your students to check their understanding
Mixed Numbers - Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers.
SPI 0606.2.2
  1. Age Word Problems - explanation followed by practice
  2. Calculate percent - Discover relationships between fractions, percents, and decimals This site is interactive and allows students to play a game or input or collect data
  3. Equation Match - Find the value of X in each equation This site is interactive and allows students to play a game or input or collect data
  4. Late Delivery - Find the value of expression written on each door to deliver the mail This site is interactive and allows students to play a game or input or collect data
  5. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall This site is interactive and allows students to play a game or input or collect data
  6. A resource for the teacher to use in planning their lessonsMulti-Step Word Problems - seven pages of problems for your students - solutions included at the end of the document This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
  7. Percent Game - Funbrain site This site is interactive and allows students to play a game or input or collect data
  8. Problem Solving - worksheets to be printed This link includes something for the teacher to print
  9. Simple Interest Problems - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  10. Simple Interest Calculations - part of the Algematics help database which shows how to use Algematics to solve simple interest problems
  11. Simple Interest Rates - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  12. Two Step Equation Word Problems - two videos to use to practice this subject A video is available through this link
  13. Two Step Maths Word Problems - this UK site allows students to take a short 10-question quiz This site includes questions for your students to check their understanding
  14. Two Step Word Problems - a one sheet problem set to print and use in class This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
    1. Four more two step word problems This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
  15. Unstated Information in Fraction Problems - use the information provided to find the unstated information This site is interactive and allows students to play a game or input or collect data
  16. Using percents - five multiple choice questions This site includes questions for your students to check their understanding
  17. Verbal Reasoning - Challenges students to clearly understand a problem and think through the solution! This site is interactive and allows students to play a game or input or collect data
  18. Word Problems for Kids - Select your grade level and good luck! Hints are provided (grades 5-12)
Decimals - Solve problems involving the addition, subtraction, multiplication, and division of
decimals.
SPI 0606.2.3
  1. Adding with decimals - Addition of numbers with three decimal digits This site includes questions for your students to check their understanding
  2. Addition with Two decimals - check mark appears if answer is correct This site includes questions for your students to check their understanding
  3. Comparing fractions and decimals - interactive game This site is interactive and allows students to play a game or input or collect data
  4. Complete the number sentence - All operations with decimals
  5. Decimal addition - Push the green blocks into the holes to make the target number. This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  6. Decimals of the Caribbean - a decimal game which asks you to match decimals stated in words and numbers This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  7. Dividing Decimals - Complete the number sentence
  8. Division of Decimals - Divide with 2 decimals
  9. Division of Decimals - Divide with 3 decimals
  10. Fractions, Decimals or Percent - two are given, you supply the third This site includes questions for your students to check their understanding
  11. Multiplying and Dividing with Decimals - five multiple choice questions from Glencoe math This site includes questions for your students to check their understanding
  12. Multiplying with decimals - Multiplying numbers with two decimals
  13. Rounding off - round numbers to significant decimal places This site is interactive and allows students to play a game or input or collect data
  14. Spy Guys Interactive - Decimals - Lesson 1 A video is available through this link
  15. Subtracting with decimals - Subtraction with one decimal digit This site includes questions for your students to check their understanding
  16. Subtracting with decimals - Subtraction with three decimal digits This site includes questions for your students to check their understanding
Multi-Step Problems - Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals.
SPI 0606.2.4
  1. Equivalent Fractions - find the fraction that is equivalent to the fraction given This site is interactive and allows students to play a game or input or collect data
  2. EZ Fractions - Add, Subtract, Multiply and Divide fractions - Help tools are on the site to give students every tool necessary for performing operations with fractions as easy as it has ever been! This site is interactive and allows students to play a game or input or collect data
  3. Fraction Practice - All operations, mixed practice - (explanations given for wrong answers) This site is interactive and allows students to play a game or input or collect data
  4. Fractional Distances - find Grampy by entering a fractional distance - (includes mixed numbers and various fractions) This site is interactive and allows students to play a game or input or collect data
  5. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall This site is interactive and allows students to play a game or input or collect data
  6. Rename Fractions in Lowest Terms - practice in renaming fractions This site is interactive and allows students to play a game or input or collect data
  7. Unstated Information in Fraction Problems - use the information provided to find the unstated information This site is interactive and allows students to play a game or input or collect data
  8. A resource for the teacher to use in planning their lessonsWorksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions This link includes something for the teacher to print
Transform Numbers - Transform numbers from one form to another (fractions, decimals, percents, and mixed numbers).
SPI 0606.2.5
  1. British and Metric Conversions - interactives for converting between metric and English units This site is interactive and allows students to play a game or input or collect data
  2. Converting Fractions, Decimals, and Percents - from Fact Monster
  3. Fractions Converted to Percent and Decimals - an eleven question quiz from McGraw Hill Ryerson. This site includes questions for your students to check their understanding
  4. Fraction Decimal Conversion - a Quia matching quiz This site includes questions for your students to check their understanding
  5. Fraction Decimal Conversion - another Quia matching quiz This site includes questions for your students to check their understanding
  6. Fraction Decimal Conversion - a Quia concentration style quiz This site includes questions for your students to check their understanding
  7. Practice Converting Percent to Fractions - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
Ratio, Rate, and Percent - Solve problems involving ratios, rates and percents.
SPI 0606.2.6
  1. Percent
    1. Calculate percent - Discover relationships between fractions, percents, and decimals This site is interactive and allows students to play a game or input or collect data
    2. Chances Are - predict the likelihood of events using a circle graph with percentages as a model (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
    3. Finding a percent of a quantity - five multiple choice questions This site includes questions for your students to check their understanding
    4. Fraction Bar - add a bar then break it into fractions, decimals, or percents This site is interactive and allows students to play a game or input or collect data
    5. Fractions, Decimals or Percent - two are given, you supply the third This site includes questions for your students to check their understanding
    6. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall This site is interactive and allows students to play a game or input or collect data
    7. Percent Game - Funbrain site This site is interactive and allows students to play a game or input or collect data
    8. Percent Problems - a one-player, or two-player game from Quia This site includes questions for your students to check their understanding
    9. Percentages and Proportions - five multiple choice questions This site includes questions for your students to check their understanding
    10. Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math) This site is interactive and allows students to play a game or input or collect data
    11. Percents and Wholes - five multiple choice questions This site includes questions for your students to check their understanding
    12. Percent with a Calculator - after the lesson there are problems to work (don't run your mouse over the colored blocks until you have an answer in mind)
    13. Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent)
    14. Practice Solving Percent Problems - more percent practice This site includes questions for your students to check their understanding
    15. Shopping at Troy's Toys - percent shopping This site is interactive and allows students to play a game or input or collect data
    16. Solving Percent Problems Using a Pyramid Grid - an interactive lesson
    17. Spy Guys Interactive - Percent - Lesson 4 A video is available through this link
    18. Using percents - five multiple choice questions This site includes questions for your students to check their understanding
    19. Using the Proportion Method to Solve Percent Problems - practice problems at the end This site includes questions for your students to check their understanding
    20. What percentage has been shaded - Guess the percent of the shaded pie chart
    21. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment A lesson plan can be found at this site
  2. Ratio and Proportion
    1. Algebra: Proportion Word Problems - explanation and examples [direct and inverse proportion explained]
    2. All About Ratios - five multiple choice questions, select "get Score" to see how you did This site includes questions for your students to check their understanding
    3. All About Ratios - links to several lessons by Cynthia Lanius A lesson plan can be found at this site
    4. All About Ratios: (Problem Solving) - A famous Texas chef has a secret recipe for her chili. When people ask her for it, she hands them a card with the complete recipe except for 1 detail. For the missing detail, she gives them a clue. Use ratios to discover the missing ingredient.
    5. Cat and Mouse: Direct and inverse proportion - The problem is actually a great opportunity to teach direct variation and inverse variation.
    6. Comparing Ratios and Rates - five multiple choice questions This site includes questions for your students to check their understanding
    7. Determine the number based on the ratio - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    8. Determining the Ratio - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    9. Figure This: Math Challenge for Families - proportional reasoning
    10. Interpreting and Applying Proportions - five multiple choice questions This site includes questions for your students to check their understanding
    11. Learning ratios and proportions through scale drawings - a text lesson plan A lesson plan can be found at this site
    12. Math for Morons Like Us - a ThinkQuest entry on ratio
    13. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems A video is available through this link
      1. You Tube video of the same lesson - Instructor: Ms. Jenkins A video is available through this link
    14. Percentages and Proportions - five multiple choice questions This site includes questions for your students to check their understanding
    15. Percents and Ratios - AAA math site with many interactive quizzes - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    16. Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    17. Percent with a Calculator - after the lesson there are problems to work This site includes questions for your students to check their understanding
    18. Practice with Ratios - ten questions, answer and explanation are available in drop down menus for each question This site includes questions for your students to check their understanding
    19. Proportion Practice Test - thirteen multiple choice questions, one question per page This site includes questions for your students to check their understanding
    20. Proportions and Ratios - good explanation of means and extremes from Free Math
    21. Rags to Riches: Ratio and Proportion Quiz - quiz at Quia This site includes questions for your students to check their understanding
    22. Rates, Ratios, and Proportions - a two person quiz from Quia This site includes questions for your students to check their understanding
    23. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
    24. Ratio and Proportion - math review practice exercises This site includes questions for your students to check their understanding
    25. Ratio and Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.)
    26. Ratio and Proportion - explanation and examples
    27. Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems This site includes questions for your students to check their understanding
    28. Ratio and Proportion Quiz - play this game to practice writing ratios This site is interactive and allows students to play a game or input or collect data
    29. Ratio Exercises: Dolls : Camera] | Same ratio -- Fish : Atom | Different ratio -- Spider : Lizard | Different ratio -- Dots : Stars | 2 Dolls for every 1 Camera | 3 Atoms for every 2 Fish | [How Many Spiders do You Have? | Which Way Gives More Pizza? This site includes questions for your students to check their understanding
    30. Ratio Proportion Calculator - Enter the known and unknown values from your proportion problem. In classic algebraic format, place an x in the box where the value is unknown. Then select Calculate and click on it. This site is interactive and allows students to play a game or input or collect data
    31. Ratios - a six page module from Purple Math
    32. Ratios and Proportions - explanation with four sample problems This site includes questions for your students to check their understanding
    33. Ratios and Proportions - an interactive lesson in a slide show format This site is interactive and allows students to play a game or input or collect data
    34. A PowerPoint show related to this standardRatios and Proportions - an 18 slide PowerPoint show
    35. A PowerPoint show related to this standardRatios and Proportion Review - a 12 slide PowerPoint show
    36. Reduce Ratios to Lowest Terms - interactive quiz - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    37. Review of Proportion - examples and practice problems
    38. Review of Ratios - examples and practice problems
    39. Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
    40. Spy Guys Interactive - Ratio - Lesson 3 A video is available through this link
    41. A resource for the teacher to use in planning their lessonsTeaching Ratios and Proportions - suggestion for teachers and parents
    42. Using Proportions - five multiple choice questions This site includes questions for your students to check their understanding
  3. A PowerPoint show related to this standardRatio Rate and Proportion - [45 slides] a well designed PowerPoint show which teaches the differences between ratio, fraction, and proportion with a large number of practice problems
Number Line - Locate positive rational numbers on the number line.
SPI 0606.2.7
  1. Estimate Numbers on a Number Line - select an appropriate stage and start estimating This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  2. Line Jumper - students practice locating numbers on a number line with this FunBrain game [five levels of difficulty are available] This site includes questions for your students to check their understanding
  3. Printable Number Lines for Math - list of number lines to print and use as handouts or worksheets This link includes something for the teacher to print
  4. More Printable Number Lines for Math - list of number lines to print and use as handouts or worksheets This link includes something for the teacher to print
  5. Rational Numbers on the Number Line - worksheet with explanation and eleven practice problems This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
Integers - Locate integers on the number line.
SPI 0606.2.8
  1. Algebra Puzzle - Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column. That makes the puzzle easier to solve. Other times, you will have to look for relationships among the objects. This site is interactive and allows students to play a game or input or collect data
  2. Spy Guys Interactive - Understanding Integers - Lesson 6 A video is available through this link
National Library of Virtual Manipulatives
  1. Number and Operations [Grades 6 - 8] This site is interactive and allows students to play a game or input or collect data


5th grade algebra standards Algebra 7th grade algebra standards
Checks for Understanding (Formative/Summative Assessment)
6.3.1 | 6.3.2 | 6.3.3 | 6.3.4 | 6.3.5 | 6.3.6 | 6.3.7 | 6.3.8 | 6.3.9 | 6.3.10 | 6.3.11
Two-Step Linear Equations - Write and solve two-step linear equations corresponding to given situations (non-negative numbers only).
0606.3.1
  1. Algebraic Reasoning Using Weighing Scales - Learn how to think algebraically with these clever weighing scales. Levels 1 and 2 contain two scales. Level 3 is more difficult and has three scales. Your goal is to determine the weight of one or more of the objects. This site is interactive and allows students to play a game or input or collect data
  2. Spy Guys Interactive - Balancing Equations - Lesson 11 A video is available through this link
  3. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol This site is interactive and allows students to play a game or input or collect data
  4. Translate Sentences into Equations This site is interactive and allows students to play a game or input or collect data
  5. Translating Word Problems - lesson with links to practice types of word problems
  6. Verbal Reasoning - Challenges students to clearly understand a problem and think through the solution! This site is interactive and allows students to play a game or input or collect data
  7. Word Problem Practice - Problems in addition, subtraction and more (Warning: many pop-up ads on this site)
One-Step Inequalities - Write and solve one-step inequalities corresponding to given situations (non-negative numbers only).
0606.3.2
  1. One Step Inequalities - Lesson - one-step inequalities are solved the same as one-step equations
  2. One Step Inequalities - Practice - five multiple choice questions This site includes questions for your students to check their understanding
  3. One Step Inequalities - solve each inequality and graph its solution [answers included] An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  4. One-Step Linear Inequalities - interactive applet to use to practice understanding this skill This site is interactive and allows students to play a game or input or collect data
  5. Solving One Step Inequalities - Quiz yourself by guessing what should be in each of the black rectangles below before clicking on it to display the answer This site includes questions for your students to check their understanding
  6. Solving One-Step Inequalities by Multiplying/Dividing - solve each inequality and graph its solution [answers included] An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  7. A PowerPoint show related to this standardSolving One Step Inequalities - a 22 slide show giving instruction, examples and practice problems
Juxtaposition - Recognize the use of juxtaposition (such as 3x, ab) to stand for multiplication, and the convention in these cases of writing numbers before letters.
0606.3.3
  1. The Order of Operations: More Examples - explains that juxtaposed values must be multiplied together before processing other operations
Measurement - Generate data and graph relationships concerning measurement of length, area, volume, weight, time, temperature, money, and information.
0606.3.4
  1. Artie Ounces Soda Jerk - interactive game to practice converting ounces to pints and quarts This site is interactive and allows students to play a game or input or collect data
Properties - Use the commutative, associative and distributive properties to show that two expressions are equivalent.
0606.3.5
  1. Associative, Commutative and Distributive Laws - simple explanation from Math is Fun
  2. Basic Number Properties: Associative, Commutative, and Distributive - explanation from Purple Math
  3. Beginning Algebra Tutorial: Properties of Real Numbers - instruction, examples, and practice exercises This site includes questions for your students to check their understanding
  4. Independent Practice: Commutative, Associative, and Distributive Properties - identify which property is used in each computation An Adobe Acrobat document in .pdf format
  5. Multiplication Properties - instruction, practice and a timed test, students must identify the property described This site includes questions for your students to check their understanding
  6. Number Properties: Commutative, Associative, Distributive - with worked solutions and videos A video is available through this link
  7. Properties of Integers - four step lesson; introduction, in-depth explanation, examples, and practice problems This site includes questions for your students to check their understanding
Table or Graph - Use equations to describe simple relationships shown in a table or graph.
0606.3.6
  1. Teacher Dodgeball - fill in numbers on an equation - Each blank of the equation stands for a number on a teacher. Hit the teacher with the number that goes next in the equation by clicking on them. This site is interactive and allows students to play a game or input or collect data
Different Representations - Move fluently between different representations (such as verbal, tabular, numerical, algebraic, and graphical) of equations and expressions.
0606.3.7
  1. A PowerPoint show related to this standardRepresent Functions - seven slide PowerPoint show illustrating various representations; using models, tables, graphs, and equations - effective use of animation
Represent Patterns - Represent patterns using words, graphs, and simple symbolic notation.
0606.3.8
  1. Create your own pattern - Drag shapes to create a pattern. This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    1. Instructions on how to use this page in your classroom.
  2. Number Cracker - guess what number comes next in the pattern This site is interactive and allows students to play a game or input or collect data
  3. Select the shape that comes next - a worksheet to print
  4. Spy Guys Interactive - Summarizing/Extending Patterns - Lesson 8 A video is available through this link
  5. What Comes Next - customizable worksheet source This link includes something for the teacher to print
Contextual Story - Write a contextual story modeled by a given graph.
0606.3.9
  1. The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
  2. Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations
  3. Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key
  4. Situation Graphs - several graph are presented which you could use to have students write an explanation An Adobe Acrobat document in .pdf format
  5. Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body: Modeling the Situation - lesson plan from NCTM A lesson plan can be found at this site
Ordered Pairs - Understand that in an ordered pair (x, y), the x represents horizontal location and y represents vertical location.
0606.3.10
  1. Catch the Fly - Use the keyboard to enter the x and y values of an ordered pair to help the fly catch a bug. No score is kept, each question is essentially a one question game. This site is interactive and allows students to play a game or input or collect data
  2. Coordinate Geometry - introduction, explanation, examples and practice problems This site includes questions for your students to check their understanding
  3. A PowerPoint show related to this standardCoordinate Plane Practice - students type ordered pairs in the blocks on this interactive PowerPoint show
  4. Create a Haunted House...if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math.
  5. Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems
  6. General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. This site is interactive and allows students to play a game or input or collect data
  7. Graphing Applet - interactive site which identifies the ordered pairs of points students click on
    1. Advanced version of the same applet This site is interactive and allows students to play a game or input or collect data
  8. Graphing Equations and Inequalities Unit Quiz This site includes questions for your students to check their understanding
  9. Graphing Ordered Pairs - explanation and interactive practice This site is interactive and allows students to play a game or input or collect data
  10. Greg's Grid Graphs - help Greg and his family plan their visit to the museum This site is interactive and allows students to play a game or input or collect data
  11. Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines. This site is interactive and allows students to play a game or input or collect data
  12. Ordered Simple Plot - interactive coordinate plane from Shodor This site is interactive and allows students to play a game or input or collect data
  13. Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations. This site is interactive and allows students to play a game or input or collect data
  14. Quadrant I only
    1. Simple Coordinates Game - Students investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. This site is interactive and allows students to play a game or input or collect data
    2. Simple Maze Game - Students investigate the first Quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. This site is interactive and allows students to play a game or input or collect data
    3. Simple Maze Game - Students investigate the first quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. This site is interactive and allows students to play a game or input or collect data
  15. Reading a Grid - Find Hurkle behind the grid. Type ordered pairs to find him This site is interactive and allows students to play a game or input or collect data
  16. Stock the Shelves - You have two minutes to put the soda bottles in their correct places on the coordinate plane. This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  17. What's the Point? - a coordinate plane game from Funbrain.com (use the hardest level) This site is interactive and allows students to play a game or input or collect data
Identify Quadrant - Identify the quadrant of the coordinate system in which a point lies.
0606.3.11
  1. Rectangular Coordinate System - algebra tutorial
  2. Spy Guys Interactive - Using Ordered Pairs - Lesson 18 A video is available through this link
  3. A resource for the teacher to use in planning their lessonsWorksheet Generator - Print your own blank coordinate plane worksheets, you determine the number of grids on a sheet and whether the grids are numbered or not. This link includes something for the teacher to print
State Performance Indicators
6.3.1 | 6.3.2 | 6.3.3 | 6.3.4 | 6.3.5 | 6.3.6 | 6.3.7 | 6.3.8 | 6.3.9
Number Line - Represent on a number line the solution of a linear inequality.
SPI 0606.3.1
  1. A PowerPoint show related to this standardGraphing a Linear Inequality - a seven slide PowerPoint show
  2. Graphing Linear Inequalities - explanation from Purple Math (much easier than your book makes it look)
  3. Intermediate Algebra Tutorial: Linear Inequalities - explanation, examples, suggested strategies and practice exercises
Order of Operations - Use order of operations and parentheses to simplify expressions and solve problems.
SPI 0606.3.2
  1. Algebra: Order of Operations - a quiz from Quia This site includes questions for your students to check their understanding
  2. Calculations Using Order of Operations - AAA Math lesson and practice problems This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  3. Division and Order of Operations - matching game
  4. Evaluating Algebraic Expressions - from Regents Prep This site includes questions for your students to check their understanding
  5. Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S. This site is interactive and allows students to play a game or input or collect data
  6. Exploring Order of Operations - [game] click on the operations in correct order This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  7. Flintstone Example - four characters try to solve a problem, four more examples at the bottom of the page.
  8. Learning Activity: Order of Operations - interactive lesson This site is interactive and allows students to play a game or input or collect data
  9. A PowerPoint show related to this standardMath Quiz Game: Jeopardy style - Jeopardy style PowerPoint review game
  10. Order of Operations - Math Goodies from Ms. Glosser
  11. Order of Operations - a matching grid pattern game This site is interactive and allows students to play a game or input or collect data
  12. Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. This site is interactive and allows students to play a game or input or collect data
  13. A PowerPoint show related to this standardOrder of Operations - a 16 slide PowerPoint show with practice problems
  14. A PowerPoint show related to this standardOrder of Operations - a 13 slide PowerPoint show which makes good use of animation
  15. A PowerPoint show related to this standardOrder of Operations: What to Do First - a 25 slide PowerPoint show
  16. Order of Operations Game - Drag the numbers and the operation signs on the wood board to complete the equality This site is interactive and allows students to play a game or input or collect data
  17. Order of Operations Game - from MathFrog This site includes questions for your students to check their understanding
  18. Order of Operations Pretest - ten multiple choice questions This site includes questions for your students to check their understanding
  19. Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems
  20. Order of Operations Tutorial - work through several examples This site is interactive and allows students to play a game or input or collect data
  21. Order of Operations with Exponents - Math Goodies from Ms. Glosser
  22. Order of operations game from Funbrain.com (easier levels are available) This site is interactive and allows students to play a game or input or collect data
  23. Order of Operations Worksheet - ten problems, answers available This site includes questions for your students to check their understanding
  24. Practice with Order of Operations - ten practice problems [answers available] This site includes questions for your students to check their understanding
  25. Practice with Order of Operations - Get out your pencils and calculators and give these a try! This site includes questions for your students to check their understanding
Equations - Write equations that correspond to given situations or represent a given mathematical
relationship.
SPI 0606.3.3
  1. Spy Guys Interactive - Balancing Equations - Lesson 11 A video is available through this link
Rewrite Expressions - Rewrite expressions to represent quantities in different ways.
SPI 0606.3.4
  1. Worksheet - rewrite using the associative property An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  2. Worksheet - rewrite using the commutative property An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  3. Worksheet - rewrite using the distributive property An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
Verbal and Algebraic Expressions - Translate between verbal expressions/sentences and algebraic expressions/equations.
SPI 0606.3.5
  1. Is That A Fact? - select the appropriate operation for solving a problem (Author - Randy Russell) This site is interactive and allows students to play a game or input or collect data
  2. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol This site is interactive and allows students to play a game or input or collect data
Linear Equations - Solve two-step linear equations using number sense, properties, and inverse operations.
SPI 0606.3.6
  1. How to Solve Two-Step Linear Equations in Algebra - simple video lesson [1:35] A video is available through this link
  2. Linear Equations in one Variable - Quia game quiz which asks students to solve one- and two-step linear equations and simple algebraic proportions as they work toward winning $1,000,000. This site includes questions for your students to check their understanding
  3. Linear Equations Review - Study the Examples provided to see the strategies used to solve various 1 and 2 step linear equations.  The Algebra Tiles Practice activity will create the question, show the intermediate step(s), provide the answer to the equation and show how to verify the answer A video is available through this link
  4. Solving Linear Equations - explanation provided by Study Guides and Strategies
  5. Solving Multi-Step Linear Equations - this two page explanation from Purple Math includes a large number of examples
Patterns - Use algebraic expressions and properties to analyze numeric and geometric patterns.
SPI 0606.3.7
  1. Algebraic Reasoning Using Weighing Scales - Learn how to think algebraically with these clever weighing scales. Levels 1 and 2 contain two scales. Level 3 is more difficult and has three scales. Your goal is to determine the weight of one or more of the objects. This site is interactive and allows students to play a game or input or collect data
  2. Analyzing Numeric and Geometric Patterns of Paper Pool - an activity from Illuminations, the NCTM site. This site is interactive and allows students to play a game or input or collect data
  3. Calculating the nth Term - how to develop a formula that can be used to calculate these terms
  4. Create your own pattern - Drag shapes to create a pattern This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    1. Instructions on how to use this page in your classroom
  5. Mystery Operations - In this activity the computer makes up a mystery operation, and you have to figure out what the operation is. You give the computer two numbers to calculate, and it tells you the answer. This site is interactive and allows students to play a game or input or collect data
  6. Number Cracker - Guess what number comes next in the pattern?
  7. Number Cruncher - Lists input and output in a table and will not let the user attempt to guess the rule on without at least having two data points. This site is interactive and allows students to play a game or input or collect data
  8. Patterns in Geometry - multiple-choice quiz [5 questions] This site includes questions for your students to check their understanding
  9. Patterns - Figure out the patterns, if you can! This site is interactive and allows students to play a game or input or collect data
  10. Select the shape that comes next - a worksheet to print This link includes something for the teacher to print
  11. Spy Guys Interactive - Summarizing/Extending Patterns - Lesson 8 A video is available through this link
  12. What Comes Next - customizable worksheet source This link includes something for the teacher to print
  13. Whole Number Cruncher - Similar to "Number Cruncher" but only generates multiplication and addition functions to avoid outputting any negative numbers This site is interactive and allows students to play a game or input or collect data
  14. Writing Rules for Patterns - multiple-choice quiz [5 questions] This site includes questions for your students to check their understanding
Contextual Situation - Select the qualitative graph that models a contextual situation (e.g., water filling then draining from a bathtub).
SPI 0606.3.8
  1. The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change. A lesson plan can be found at this site
  2. Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations
  3. Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key
Graph Ordered Pairs - Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
SPI 0606.3.9
  1. Catch the Fly - Use the keyboard to enter the x and y values of an ordered pair to help the fly catch a bug. No score is kept, each question is essentially a one question game. This site is interactive and allows students to play a game or input or collect data
  2. Coordinate Geometry - introduction, explanation, examples and practice problems This site includes questions for your students to check their understanding
  3. A PowerPoint show related to this standardCoordinate Plane Practice - students type ordered pairs in the blocks on this interactive PowerPoint show
  4. Create a Haunted House...if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math.
  5. Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems
  6. General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. This site is interactive and allows students to play a game or input or collect data
  7. Graphing Applet - interactive site which identifies the ordered pairs of points students click on
    1. Advanced version of the same applet This site is interactive and allows students to play a game or input or collect data
  8. Graphing Equations and Inequalities Unit Quiz This site includes questions for your students to check their understanding
  9. Graphing Ordered Pairs - explanation and interactive practice This site is interactive and allows students to play a game or input or collect data
  10. Greg's Grid Graphs - help Greg and his family plan their visit to the museum This site is interactive and allows students to play a game or input or collect data
  11. Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines. This site is interactive and allows students to play a game or input or collect data
  12. Ordered Simple Plot - interactive coordinate plane from Shodor This site is interactive and allows students to play a game or input or collect data
  13. Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations. This site is interactive and allows students to play a game or input or collect data
  14. Quadrant I only
    1. Simple Coordinates Game - Students investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. This site is interactive and allows students to play a game or input or collect data
    2. Simple Maze Game - Students investigate the first Quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. This site is interactive and allows students to play a game or input or collect data
    3. Simple Maze Game - Students investigate the first quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. This site is interactive and allows students to play a game or input or collect data
  15. Reading a Grid - Find Hurkle behind the grid. Type ordered pairs to find him This site is interactive and allows students to play a game or input or collect data
  16. Rectangular Coordinate System - algebra tutorial
  17. Spy Guys Interactive - Using Ordered Pairs - Lesson 18 A video is available through this link
  18. Stock the Shelves - You have two minutes to put the soda bottles in their correct places on the coordinate plane. This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  19. What's the Point? - a coordinate plane game from Funbrain.com (use the hardest level) This site is interactive and allows students to play a game or input or collect data
  20. A resource for the teacher to use in planning their lessonsWorksheet Generator - Print your own blank coordinate plane worksheets, you determine the number of grids on a sheet and whether the grids are numbered or not. This link includes something for the teacher to print
National Library of Virtual Manipulatives
  1. Algebra [Grades 6 - 8] This site is interactive and allows students to play a game or input or collect data


5th grade geometry and measurement standards Geometry and Measurement 7th grade geometry and measurement standards
6.4.1 | 6.4.2 | 6.4.3 | 6.4.4 | 6.4.5 | 6.4.6 | 6.4.7 | 6.4.8 | 6.4.9 | 6.4.10 | 6.4.11 | 6.4.12 | 6.4.13 | 6.4.14 | 6.4.15 | 6.4.16 | 6.4.17 | 6.4.18
Checks for Understanding (Formative/Summative Assessment)
Sum of Angles - Investigate the sum of the angles in a triangle and a quadrilateral using various methods.
0606.4.1
  1. Quadrilaterals
    1. Construction of Bicentric Quadrilateral - a mathematical droodle This site is interactive and allows students to play a game or input or collect data
    2. Interactive Quadrilateral - drag the dots This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    3. Java Sketchpad to Explore Shapes This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
      1. Isosceles Trapezoid
      2. Parallelogram
      3. Rectangle
      4. Rhombus
    4. Practice With Quadrilaterals - a twelve question quiz with drawings This site includes questions for your students to check their understanding
    5. Quad Squad - a quick lesson on classifying and describing quadrilaterals
    6. Quadrilateral Family - from regents prep
    7. Quadrilateral Matching - concentration style quiz This site includes questions for your students to check their understanding
    8. Quadrilateral Quest - interactive lesson, drag and drop activity This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    9. Quadrilateral Sorter - click on a shape to find out about it This site is interactive and allows students to play a game or input or collect data
    10. A PowerPoint show related to this standardQuadrilaterals - a sixteen slide PowerPoint show
    11. A PowerPoint show related to this standardQuadrilaterals - a twenty-six slide PowerPoint show produced by Holt, Rinehart and Winston
    12. A PowerPoint show related to this standardQuadrilaterals II - a twenty-eight slide PowerPoint show
    13. Quadrilaterals Explained - from Math is Fun This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    14. Quadrilaterals Quiz - six multiple choice questions This site includes questions for your students to check their understanding
    15. Quadrilaterals - explanation, examples and questions to answer
    16. Quadrilaterals - a wikipedia entry with a large number of drawings
    17. Shapes: Quadrilaterals - explanation and questions to show understanding This site includes questions for your students to check their understanding
    18. A resource for the teacher to use in planning their lessonsWhat's My Quadrilateral - three different teaching ideas A lesson plan can be found at this site
  2. Triangles
    1. Angle Classification: Acute, Right, Obtuse - explanation and questions to answer
    2. Angles - Students practice their knowledge of acute, obtuse and alternate angles.
    3. Angles - game to help recognize angles This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    4. A PowerPoint show related to this standardAngles - a twenty slide PowerPoint show with a quiz to be used as a whole class activity
    5. Basic Geometric Figures - a TAKS worksheet to print and use in class This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
    6. Classifying Angles - multiple-choice quiz [5 questions] This site includes questions for your students to check their understanding
    7. Equilateral, Isosceles, and Scalene Triangles - choose the most restrictive term This site includes questions for your students to check their understanding
    8. Geometry Building Blocks: Classifying Angles - explanation and drawings
      1. Examples to go with the lesson above
      2. Quiz to follow the lesson This site includes questions for your students to check their understanding
    9. How Do We Measure Angles? - six page worksheet to print and use in class This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
    10. Measuring Angles - use a virtual protractor This site is interactive and allows students to play a game or input or collect data
    11. Names of Angles - definition and drawings of each type This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    12. Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM) This site is interactive and allows students to play a game or input or collect data A lesson plan can be found at this site
    13. Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    14. Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    15. Right, Acute, and Obtuse Angles - sort angles into appropriate containers This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
    16. Right, Acute, and Obtuse Angles - figures are shown, decide which is the proper angle This site includes questions for your students to check their understanding
    17. Squaring the Triangle - learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle. This site is interactive and allows students to play a game or input or collect data
    18. Triangle Calculator - Enter values three of the six sides and angles of the triangle and the other three values will be computed. The number of significant values entered will determine the number of significant figures in the results.
    19. Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid. This site is interactive and allows students to play a game or input or collect data
    20. Triangle Identification - identify the triangle given its angles - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    21. Triangle Identification - identify the triangle given its number of sides - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
    22. Triangles Side-By-Side - use geometric vocabulary to describe properties of triangles (Author - Carolyn Garner) This site is interactive and allows students to play a game or input or collect data
    23. Types of Angles - definitions, and drawings of each type
    24. Spy Guys Interactive - Working with Angles - Lesson 16 A video is available through this link
Triangle and Polygon - Relate the sum of the angles in a triangle to the sum of the angles in polygons.
0606.4.2
  1. Pythagorean Explorer - Students find the length of a side of a right triangle by using the Pythagorean Theorem, and then check their answers. This site is interactive and allows students to play a game or input or collect data
  2. The Pythagorean Theorem - five multiple choice questions This site includes questions for your students to check their understanding
  3. Squaring the Triangle - Students learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle. This site is interactive and allows students to play a game or input or collect data
Use Protractor or Ruler - Verify the basic properties of triangles and quadrilaterals using a protractor and ruler.
0606.4.3
  1. Creating Congruent Triangles - materials needed: rulers and protractors A lesson plan can be found at this site
  2. Measuring Angles - [designed for 6th grade] use a virtual protractor This site is interactive and allows students to play a game or input or collect data
  3. Measuring Angles - [designed for 7th grade] quiz with virtual protractor This site includes questions for your students to check their understanding
  4. Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
Classify Triangles - Classify triangles by side lengths (scalene, isosceles, and equilateral) and angle measure (acute, right, obtuse, isosceles and equiangular).
0606.4.4
  1. Acute One Or An Obtuse One? - [grades 5-8] six page worksheet to print and use in class [this link points to an archived file provided by the Wayback Machine. This site is blocked by some filters so you might want to download a copy at home] This link includes something for the teacher to print An Adobe Acrobat document in .pdf format A lesson plan can be found at this site
  2. Angle Classification: Acute, Right, Obtuse - explanation and questions to answer
  3. Angles - Students practice their knowledge of acute, obtuse and alternate angles.
  4. Angles - Interactive game to help recognize angles.
  5. A PowerPoint show related to this standardAngles - a twenty slide PowerPoint show with a quiz to be used as a whole class activity
  6. Basic Geometric Figures - a TAKS worksheet to print and use in class This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
  7. Classifying Angles - five multiple choice questions This site includes questions for your students to check their understanding
  8. Geometry Building Blocks: Classifying Angles - explanation and drawings
    1. Examples to go with the lesson above
    2. Quiz to follow the lesson This site includes questions for your students to check their understanding
  9. How Do We Measure Angles? - six page worksheet to print and use in class This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
  10. Measuring Angles - use a virtual protractor This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  11. Names of Angles - definition and drawings of each type This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  12. Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  13. Right, Acute, and Obtuse Angles - sort angles into appropriate containers This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  14. Right, Acute, and Obtuse Angles - figures are shown, decide which is the proper angle This site includes questions for your students to check their understanding
  15. Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid. This site is interactive and allows students to play a game or input or collect data
  16. Triangles Side-By-Side - use geometric vocabulary to describe properties of triangles (Author - Carolyn Garner) This site is interactive and allows students to play a game or input or collect data
  17. Types of Angles - definitions, and drawings of each type
  18. Spy Guys Interactive - Working with Angles - Lesson 16 A video is available through this link
Triangle Inequality Theorem - Model and use the Triangle Inequality Theorem.
0606.4.5
  1. A resource for the teacher to use in planning their lessonsLicorice Triangles - a teaching idea using licorice shoe laces, and rulers A lesson plan can be found at this site
  2. Practice with Triangle Inequality - five multiple choice questions with explanation This site includes questions for your students to check their understanding
  3. Triangle Inequality - from Math for Morons Like Us, a ThinkQuest entry
  4. Triangle Inequalities - explanation from the Regents Prep assessment prep site
  5. The Triangle Inequality Theorem - explanation that any side of a triangle is always shorter than the sum of the other two sides - includes an interactive java applet This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  6. Triangle Inequality Theorem - with worked solutions and a video A video is available through this link
Interior and Exterior Angles - Use the properties of interior and exterior angles of polygons to solve problems.
0606.4.6
  1. Creating Polygons - investigating the Concept of Triangle and the Properties of Polygons (from NCTM) A lesson plan can be found at this site
  2. Identify Polygons - names of polygons by number of sides and angles - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  3. Interactive Shapes - A wide range of mathematics is covered, including all four key stages, from polygons to circle theorems. This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  4. Name that Polygon - identify name of given polygon components - instruction and review, practice, and a quiz This site is interactive and allows students to play a game or input or collect data and This site includes questions for your students to check their understanding
  5. Patterns for Solid Figures - Complete to make a cube figure This site is interactive and allows students to play a game or input or collect data
  6. Pete's Polygons - Students learn about closed figures called polygons. (Author - Paulette Boggs) This site is interactive and allows students to play a game or input or collect data
  7. Polygon Playground - arrange designs with movable polygons - hundreds of polygons to drag anywhere you want This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
Transformations - Work with transformations in a plane and explore their meanings through drawings and manipulatives.
0606.4.7
  1. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded. This site is interactive and allows students to play a game or input or collect data
  2. Flip, Slide, or Turn - six flash movies allow you to watch the path an object takes while it is being transformed A video is available through this link
  3. Flips, Slides, and Turns - a manipulative which allows you to view the effect of applying reflection, translation, and rotation transformations This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  4. Mathematical Movements (Flips, Slides and Turns) - [designed for 3rd grade] a 25 page lesson with printables [this link points to an archived file provided by the Wayback Machine. This site is blocked by some filters so you might want to download a copy at home] An Adobe Acrobat document in .pdf format
  5. Mathsnet Transformations - interactive site. a collection of approaches to this topic to offer you a choice. All require Java and a recent browser. This site is interactive and allows students to play a game or input or collect data
  6. Measuring Turns - what would shapes look like if rotated This site is interactive and allows students to play a game or input or collect data
  7. A PowerPoint show related to this standardMotion in Geometry - a 127 slide PowerPoint show
  8. Sam's Similar Shapes - Students learn about shapes that are different sizes but the same shape. (Author - Paulette Boggs) This site is interactive and allows students to play a game or input or collect data
  9. Spy Guys Interactive - Slides and Flips - Lesson 17 A video is available through this link
  10. Transformations - [designed for 7th grade] how to identify, describe, perform, and analyze transformations involving translations, reflections, and rotations This site is interactive and allows students to play a game or input or collect data
  11. A PowerPoint show related to this standardTransformations - [designed for 7th grade] a 21 slide PowerPoint show produced by Holt, Rinehart and Winston
  12. Transformations - a Flash movie which demonstrates flips, slides, and turns A video is available through this link
  13. Transformations and Symmetry - many good examples on this Math Art Connections page includes a student project assignment at the end
  14. Wrapping Paper Patterns - decide which figures would result from a flip, a slide, or a turn (Author - Paulette Boggs) This site is interactive and allows students to play a game or input or collect data
Scaling or Dilation - Understand scaling, dilation and their relation to similarity.
0606.4.8
  1. Dilation - Enlargement and Reduction - the concepts of similarity and scale factor as they relate to two-dimensional and three-dimensional objects
  2. Explore Dilation - Drag the red points to explore dilation in the dynamic diagram. To reset to the original settings, type the letter "R" on the keyboard This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  3. Geoboard - use this interactive applet to investigate similarity - from the National Library of Virtual Manipulatives This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  4. A PowerPoint show related to this standardSimilarity and Dilations - 23 slide show which includes student tasks and links
  5. Tangrams - use this interactive applet to investigate similarity - from the National Library of Virtual Manipulatives This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  6. Transformations: Dilation - use this interactive applet to investigate dilation - from the National Library of Virtual Manipulatives This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
Congruence and Similarity - Analyze the differences between congruence and similarity.
0606.4.9
  1. Congruence and Similarity - review, examples, and links for enrichment
  2. Understanding Congruence, Similarity, and Symmetry Using Transformations and Interactive Figures: Visualizing Transformations - NCTM lesson plan which includes an interactive applet This site is interactive and allows students to play a game or input or collect data A lesson plan can be found at this site
Effect of Transformation - Describe the effect of a transformation on a 2-dimensional figure and the resulting symmetry.
0606.4.10
  1. Congruence and Similarity - video lesson using paper models A video is available through this link
  2. Congruence and Similarity - a second video lesson using paper models A video is available through this link
  3. Congruence and Similarity - video lesson using computer models A video is available through this link
  4. Congruence and Similarity - a second video lesson using computer models A video is available through this link
  5. Congruence and Similarity - a third video lesson using computer models A video is available through this link
Circumference - Relate the circumference of a circle with the perimeter of a polygonal figure.
0606.4.11
  1. A PowerPoint show related to this standardFinding Area and Perimeter of Polygons - a 26 slide PowerPoint show
  2. Pi - explanation from Wikipedia including an excellent animation at the top of the page
Pi - Derive the meaning of Pi using concrete models and/or appropriate technology.
0606.4.12
  1. Calculating Pi - activity using string, meter stick and several types of cylindrical containers A lesson plan can be found at this site
  2. The Magic Circle - activity using coffee can lids, string and rulers A lesson plan can be found at this site
Understanding Pi - Understand the relationships among the radius, diameter, circumference and area of a circle, and that the ratio of the circumference to the diameter is the same as the ratio of the area to the square of the radius, and that this ratio is called Pi.
0606.4.13
  1. Animated Proof of the Pythagorean Theorem This site is interactive and allows students to play a game or input or collect data
  2. Calculating Areas - five multiple choice questions This site includes questions for your students to check their understanding
  3. Challenge Exercises: Circumference and Area of a Circle
  4. Circle, Sphere and Cylinder Calculator This site is interactive and allows students to play a game or input or collect data
  5. Lesson on Circumference of a Circle This site is interactive and allows students to play a game or input or collect data
  6. Measuring Around - find circumference - five multiple choice questions This site includes questions for your students to check their understanding
  7. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - other practice activities
Area - Relate the area of a trapezoid to the area of a parallelogram.
0606.4.14
  1. Finding the Area of Parallelograms - an Illuminations activity where students use their knowledge of rectangles to discover the area formula for parallelograms A lesson plan can be found at this site
  2. Finding the Area of Trapezoids - an Illuminations activity where students can review the area formula for trapezoids, as well as explore alternative methods for calculating the area of a trapezoid A lesson plan can be found at this site
Length - Find lengths given areas or volumes, and vice versa.
0606.4.15
  1. How to Find the Volume of Basic 3-D Figures - step by step instructions
  2. Learning about Length, Perimeter, Area, and Volume of Similar Objects by Using Interactive Figures: Side Length, Volume, and Surface Area of Similar Solids - NCTM lesson plan, includes an interactive applet This site is interactive and allows students to play a game or input or collect data A lesson plan can be found at this site
  3. Shape Area and Volume Quiz - use a pen and paper to clearly work your way through the questions in the usual manner before entering your solutions This site includes questions for your students to check their understanding
Contextual Problems - Solve contextual problems involving area and circumference of circles, surface areas and volumes of prisms, pyramids, cones, and cylinders.
0606.4.16
  1. Animated Proof of the Pythagorean Theorem This site is interactive and allows students to play a game or input or collect data
  2. Artie Ounces Soda Jerk - interactive game to practice converting ounces to pints and quarts This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  3. Calculating Areas - five multiple choice questions This site includes questions for your students to check their understanding
  4. Challenge Exercises: Circumference and Area of a Circle
  5. Circle, Sphere and Cylinder Calculator This site is interactive and allows students to play a game or input or collect data
  6. Lesson on Circumference of a Circle This site is interactive and allows students to play a game or input or collect data
  7. Measuring Around - find circumference - five multiple choice questions This site includes questions for your students to check their understanding
  8. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - other practice activities
Manipulatives - Use manipulatives to discover the volume of a pyramid is one-third the volume of the related prism (the heights and base areas are equal).
0606.4.17
  1. Area and Volume of Solids - from Math for Morons Like Us
  2. Volume of Common Solids - a volume lesson from Math Guide
Volume of Cone - Use manipulatives to discover the volume of a cone is one-third the volume of the related cylinder (the heights and base areas are equal).
0606.4.18
  1. Geometry: 3-D Shapes - an Interactive module from Annenberg This site is interactive and allows students to play a game or input or collect data
State Performance Indicators
6.4.1 | 6.4.2 | 6.4.3 | 6.4.4 | 6.4.5 | 6.4.6
Geometric Shapes - Identify, define or describe geometric shapes given a visual representation or a written description of its properties.
SPI 0606.4.1
  1. Anglemania - (3-5) describe triangles using appropriate geometric vocabulary (Author - Laurie Ayers) This site is interactive and allows students to play a game or input or collect data
  2. Identify Polygons - names of polygons by number of sides and angles
  3. Name that Polygon - identify name of given polygon components
  4. Polygons and Non-Polygons - drag polygons into one bin and anything that is not a polygon into another bin This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  5. Shape, Space and Measure - activities, quizzes and more
  6. Triangle Identification - what type of triangle is it given its angles
  7. Triangle Identification - what type of triangle is it given its number of sides
Missing Angle - Find a missing angle measure in problems involving interior/exterior angles and/or their sums.
SPI 0606.4.2
  1. Anti-Homework - estimate angles from 0 to 180 - correct answers give you a homework grenade to get rid of assignments [gets progressively harder] This site is interactive and allows students to play a game or input or collect data
Triangle Inequality - Solve problems using the Triangle Inequality Theorem.
SPI 0606.4.3
  1. A resource for the teacher to use in planning their lessonsLicorice Triangles - a teaching idea using licorice shoe laces, and rulers A lesson plan can be found at this site
  2. Practice with Triangle Inequality - five multiple choice questions with explanation This site includes questions for your students to check their understanding
  3. Triangle Inequality - from Math for Morons Like Us, a ThinkQuest entry
  4. Triangle Inequalities - explanation from the Regents Prep assessment prep site
  5. The Triangle Inequality Theorem - explanation that any side of a triangle is always shorter than the sum of the other two sides – includes an interactive java applet This site is interactive and allows students to play a game or input or collect data or This interactive site would work well on an interactive whiteboard
  6. Triangle Inequality Theorem - with worked solutions and a video A video is available through this link
Circumference and Area - Calculate with circumferences and areas of circles.
SPI 0606.4.4
  1. Animated Proof of the Pythagorean Theorem This site is interactive and allows students to play a game or input or collect data
  2. Calculating Areas - five multiple choice questions This site includes questions for your students to check their understanding
  3. Challenge Exercises: Circumference and Area of a Circle
  4. Circle, Sphere and Cylinder Calculator This site is interactive and allows students to play a game or input or collect data
  5. Lesson on Circumference of a Circle This site is interactive and allows students to play a game or input or collect data
  6. Measuring Around - find circumference - five multiple choice questions This site includes questions for your students to check their understanding
  7. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - other practice activities
Surface Area - Determine the surface area and volume of prisms, pyramids and cylinders.
SPI 0606.4.5
  1. Area and Volume of Solids - from Math for Morons Like Us, a ThinkQuest entry
  2. Space Figures and Basic Solids - volume and surface area of several solid figures
  3. A PowerPoint show related to this standardVolumes of Prisms, Cylinders, Pyramids, and Cones - [12 slides] PowerPoint show
Volume - Given the volume of a cone/pyramid, find the volume of the related cylinder/prism or vice versa.
SPI 0606.4.6
  1. Surface Area and Volume - cones, pyramids, prisms and many other solids are covered, followed by seven practice problems
National Library of Virtual Manipulatives
  1. Geometry [Grades 6 - 8] This site is interactive and allows students to play a game or input or collect data
  2. Measurement [Grades 6 - 8] This site is interactive and allows students to play a game or input or collect data

5th grade data analysis, statistics, and probability standards Data Analysis, Statistics, and Probability 7th grade data analysis, statistics, and probability standards
Checks for Understanding (Formative/Summative Assessment)
6.5.1 | 6.5.2 | 6.5.3 | 6.5.4 | 6.5.5 | 6.5.6 | 6.5.7 | 6.5.8 | 6.5.9 | 6.5.10 | 6.5.11 | 6.5.12
Probability - Understand that the probability of an event is a number between zero and one that expresses the likelihood of its occurrence.
0606.5.1
  1. Understanding Probability - [designed for 6-8th grades] lesson plan from Discovery Education A lesson plan can be found at this site
Probability as Ratio - Identify the probability of an event as the ratio of the number of its actual occurrences to the total number of its possible occurrences.
0606.5.2
  1. Probability vs. Odds Ratio - the difference between odds ratio and probability in layman's language
  2. Probability Workbook - eight page document to use as student practice worksheets This link includes something for the teacher to printAn Adobe Acrobat document in .pdf format
Expressing Probability - Express probabilities in different ways.
0606.5.3
  1. Express Units: Risk - discussion of probability from BBC SKills for Everyday Life
  2. Figuring the Odds (Probability Puzzles) - twenty questions with answers
  3. Quantifying Probability - lesson plan with examples designed for 7th grade math A lesson plan can be found at this site
Probability or Odds - Understand the difference between probability and odds.
0606.5.4
  1. Changing Probability To Odds - Math Magic explains how to change from one to the other
  2. Comparing Probability and Odds - Cool School includes illustrations with their answer
  3. Odds Slang for Probability? - Dr. Math says, "No, odds is not slang for probability. There is a difference." This page explains the difference
  4. Probability and Odds - examples, worksheet, answer key, and checklist [12 pages] An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  5. A resource for the teacher to use in planning their lessonsProbability or Odds - Same of Different - Who better to explain this concept than Frank Scoblete, writer for the Casino City Times
  6. Probability vs. Odds Ratio - the difference between odds ratio and probability in layman's language
  7. Probability vs. Odds, Explained - answer from Ask Dr. Math
Probability Situations - Analyze a situation that involves probability of an independent event.
0606.5.5
  1. Analyzing game probabilities - multiple-choice quiz [5 problems] This site includes questions for your students to check their understanding
  2. Lions and Tigers - predict the likelihood of a simple event (rolling a die) as a fraction (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
  3. The Random Ball-Picking Machine - experiment with a random generator at a BBC site to collect data to make decisions about probability. This site is interactive and allows students to play a game or input or collect data
    1. After you finish working through the ball-picking activity, take a ten-question quiz This site includes questions for your students to check their understanding
  4. Spy Guys Interactive - Probability - Lesson 19 A video is available through this link
  5. Understanding Experimental Probability - Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes. This site is interactive and allows students to play a game or input or collect data
Estimate Probability - Estimate the probability of simple and compound events through experimentation or simulation.
0606.5.6
  1. Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
  2. Me Too Probability - use a tree diagram to display possible outcomes of who will come to the party (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
  3. On Stage Probability - use tree diagrams to display the possible outcomes of casting a play (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
  4. What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome. This site is interactive and allows students to play a game or input or collect data
  5. Who Will Probably? - use problem-solving steps and a tree diagram to display possible outcomes and make predictions (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
Calculate Probability - Apply procedures to calculate the probability of complimentary events.
0606.5.7
  1. Coin Flip - this coin flipper builds a column graph one flip at time - let your students see the progression as data is generated and collected This site is interactive and allows students to play a game or input or collect data
Graphical Representations of Data - Connect data sets and their graphical representations (such as bar graphs, circle, graphs, and stem-and-leaf plots).
0606.5.8
  1. Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values This site is interactive and allows students to play a game or input or collect data
  2. Circle Graph - Enter data categories and the value of each category to create a circle graph (similar to "Pie Chart" but the user can define the data set) This site is interactive and allows students to play a game or input or collect data
  3. Collecting and Analyzing Data - multiple-choice quiz [5 problems] This site includes questions for your students to check their understanding
  4. Data Interpretation Games - Numerous activities on using and interpreting data - Activities include bar, pie and line graphs, data collecting and much more
  5. Data Picking - students collect data, enter tally marks or numbers and then select which graph is appropriate This site is interactive and allows students to play a game or input or collect data
  6. Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem A lesson plan can be found at this site
  7. Graphing Skills - What's the point? find the point on the grid This site is interactive and allows students to play a game or input or collect data
  8. Heads I Win - predict the likelihood of tossing heads or tails and graphs the results of coin tosses (Author - Michaél Dunnivant) This site is interactive and allows students to play a game or input or collect data
  9. The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change. A lesson plan can be found at this site
  10. Interpreting Circle (Pie) Graphs - students practice by answering eight questions about the graph This site includes questions for your students to check their understanding
  11. Interpreting Column Graphs - students practice by answering ten questions about the graph This site includes questions for your students to check their understanding
  12. Interpreting Data - survey a small group by clicking on each of the children, turn the tally marks into two types of graphs and then go back and take a different survey This site is interactive and allows students to play a game or input or collect data
    1. Interpreting Data Quiz - after you finish the lesson above, take this quiz This site includes questions for your students to check their understanding
  13. Interpreting Data - multiple-choice quiz [5 problems] This site includes questions for your students to check their understanding
  14. Interpreting Line Graphs - explore line graphs. (Author - Michael Naylor) This site is interactive and allows students to play a game or input or collect data
  15. Line Graph Review - explains the advantages and disadvantages of line graphs
  16. Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs. There is a worksheet associated with the data sets
  17. Overview of a Bar Graph by Nicole Carroll followed by a practice quiz This site includes questions for your students to check their understanding
  18. Overview of a Line Graph by Nicole Carroll
  19. Overview of a Stem-and-leaf plot by Nicole Carroll followed by a practice quiz This site includes questions for your students to check their understanding
  20. Overview of a Circle Graph by Nicole Carroll followed by a practice quiz
  21. Pie Chart - Students view pie charts (parameters: number of sectors, size of sector as a percent)
  22. Piece Of Pie - display data using a circle graph (Author - Sandi King) This site is interactive and allows students to play a game or input or collect data
  23. Push Ups - collect data to put on a line graph (Author - Sandi King) This site is interactive and allows students to play a game or input or collect data
  24. Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations
  25. Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key
  26. Using the X and Y Intercept to Graph Linear Equations - This follow up to the lesson on rate of change deals with linear equations written in standard form rather than slope intercept form
  27. Finding the X Intercept and Y Intercept to Graph Standard Form Equations - five practice problems to practice using what was learned in the lesson above, followed by an answer key
  28. Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10 A video is available through this link
  29. Stem and Leaf Plots
    1. A resource for the teacher to use in planning their lessonsLesson designed to introduce students to stem-and-leaf plots A lesson plan can be found at this site
    2. Let the Games Begin - Olympic Trials in Data Analysis - [Note - This 29 page document is from the Internet Archive provided by the Wayback Machine. Many school filters block the archive so you might want to print this at home.] An Adobe Acrobat document in .pdf format A lesson plan can be found at this site
    3. A resource for the teacher to use in planning their lessonsLong Distance Airplanes - a stem-and-leaf plot lesson from Illuminations (rated 3rd-5th grade, but quite useful) A lesson plan can be found at this site
    4. Make a Stem-and-Leaf plot of the data you enter into the text area (ignore the warning about Internet Explorer, it works fine). This site is interactive and allows students to play a game or input or collect data
    5. A resource for the teacher to use in planning their lessonsOrganizing Data in a Stem and Leaf Plot - a lesson plan from Annenberg CPB A lesson plan can be found at this site
      1. Making a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page. This site is interactive and allows students to play a game or input or collect data
      2. Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page. This site is interactive and allows students to play a game or input or collect data
      3. Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page. This site is interactive and allows students to play a game or input or collect data
    6. Overview of Mean, Median, and Mode Overview of a Stem-and-leaf plot by Nicole Carroll followed by a practice quiz This site includes questions for your students to check their understanding
    7. Overview of stem-and-leaf plot - a display that organizes data to show its shape and distribution
    8. Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments
    9. Stem and Leaf Plotter - an interactive applet that allow students to input data This site is interactive and allows students to play a game or input or collect data
    10. Stem-and-Leaf plots - from Purple Math
    11. Worksheet to accompany a "Stem-and-Leaf Plots" Lesson This link includes something for the teacher to print
  30. Using Graphs to Understand Data - multiple-choice quiz [5 problems] This site includes questions for your students to check their understanding
  31. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment A lesson plan can be found at this site
Sample Space - Determine the sample space for a given situation.
0606.5.9
  1. Sample Space - use this Wikipedia article for a better understanding of the concept
Random and Nonrandom - Distinguish between a random and nonrandom sample.
0606.5.10
  1. Non-Random Sampling - explanation and an example from the Australian Bureau of Statistics
  2. Sampling - explanation of several types from Wikipedia
  3. Sampling - simple animated images help explain each concept explained at this Finnish site
Measure of Center - Select the appropriate measure of center to describe a data set.
0606.5.11
  1. Comparing Properties of the Mean and the Median through the use of Technology A lesson plan can be found at this site
  2. Exploring Histograms - The interactive data analysis tool in this investigation allows students to create their own sets of data and examine how various statistical functions such as mean, median, and standard deviation depend on the choice of data. This site is interactive and allows students to play a game or input or collect data
  3. Interactive Histogram - use pre-selected data sets or have your students enter their own data This site is interactive and allows students to play a game or input or collect data
  4. Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate This site is interactive and allows students to play a game or input or collect data
  5. Medians - understand and apply the concepts of median and mean. (Author - Michael Naylor) This site is interactive and allows students to play a game or input or collect data
  6. Party Comedian - find and use the median of a set of data. (Author - Kristy Rousseau) This site is interactive and allows students to play a game or input or collect data
  7. Party Mode - find and use the mode of a set of data. (Author - Kristy Rousseau) This site is interactive and allows students to play a game or input or collect data
Characteristics of a Population - Predict the characteristics of a population based on the analysis of sample data.
0606.5.12
  1. Population and Sample - uses a box containing 500 balls of three different colors to explain
State Performance Indicators
6.5.1 | 6.5.2 | 6.5.3
Theoretical Probability - Determine the theoretical probability of simple and compound events in familiar
contexts.
SPI 0606.5.1
  1. Coin Flip - this coin flipper builds a column graph one flip at time - let your students see the progression as data is generated and collected This site is interactive and allows students to play a game or input or collect data
  2. Coin Toss - toss enough coins to make a prediction about probability (maximum number of tosses 1000, but you can keep tossing to get a larger data set) This site is interactive and allows students to play a game or input or collect data
  3. Ken White's Coin Flipping Page - decide what kind of coin to flip (penny or dime) and how many flips you want to see This site is interactive and allows students to play a game or input or collect data
  4. What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. This dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome. This site is interactive and allows students to play a game or input or collect data
Misleading Graphs - Identify features of graphs that may be misleading.
SPI 0606.5.2
  1. Class Interval - how to make the same data appear to support two different positions A lesson plan can be found at this site
  2. CNN posted misleading graph - poll results on Schiavo case - graph as presented and how it should have been shown
  3. Examples of Bad Graphs - examples are linked and students are asked to identify some of the problems with these graphs
  4. Examples of Bias in Graphs - four page worksheet to print and use in your lesson An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  5. Histograms and Bar Graphs - lesson plan on how data can be graphically represented (and misrepresented) A lesson plan can be found at this site
  6. Junk Charts - several examples of using graphs to mislead
  7. Misleading Graphs - a short YouTube video using one example graph A video is available through this link
  8. Misleading Graphs - comparison of two graphs
  9. Misleading Graphs - using only part of the data to misrepresent a point
  10. Misleading Graphs - lesson plan A lesson plan can be found at this site
  11. Misleading Graphs - lesson plan from Shodor A lesson plan can be found at this site
  12. Misleading Graphs - lesson plan from North Canton Schools which includes a link to an Excel workbook to download and use with the lesson A lesson plan can be found at this site
  13. Misleading Graphs - how deaths from measles may be misrepresented
  14. Misleading Graphs - sheet to print and use in class [from Glencoe] An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  15. Misleading Graphs - showing the relationship between asphalt use in Finland and asthma rates
    1. Excel file - use this spreadsheet to support the lesson plan above This is an Excel workbook to download
  16. Misleading Graphs and Statistics - multiple-choice quiz [5 problems] This site includes questions for your students to check their understanding
  17. The Treasury Department's Junk Chart - example and explanation
  18. Vertical Scale Discussion - lesson plan from Shodor A lesson plan can be found at this site
  19. Visual, as well as Statistical, Misunderstanding - examples of misleading presentation of data
    1. Context: Compared to What? - a graph must not show data out of context
    2. Goosed Up Graphics - making things appear to be `better' than they are by fiddling with the scales
    3. Have Something to Say - "Knowin' all the words in the dictionary ain't gonna help if you got nuttin' to say" - a quote from Blind Lemon Jefferson, the great blues musician
    4. The Lie Factor - the ratio of the size of an effect shown in the graphic is not proportional to the size of the effect in the data
    5. Missed Opportunities - some important information was there, but the graph maker missed it
  20. Wikipedia article on the Laffer Curve - showing possible misuse of data in economics
Bias - Determine whether or not a sample is biased.
SPI 0606.5.3
  1. Biased Sample - also known as: Biased Statistics, Loaded Sample, Prejudiced Statistics, Prejudiced Sample, Loaded Statistics, Biased Induction, Biased Generalization (3 good examples at the bottom of the page)
  2. Avoiding a Biased Sample - a section from an article on designing a survey
National Library of Virtual Manipulatives
  1. Data Analysis and Probability [Grades 6 - 8] This site is interactive and allows students to play a game or input or collect data

Review Help
Practice Tests!
  1. Brainchild - twenty-four questions, followed by practice on any incorrect responses This site includes questions for your students to check their understanding
  2. Chapter Tests - Glencoe Math
  3. Houghton Mifflin Mathematics Test Prep Practice
  4. Self Check Quizzes - Glencoe Math
FCAT Sample Test Book
  1. The FCAT Sample Test Books are designed to help students become familiar with FCAT (Florida) by providing helpful hints and offering practice answering questions in different formats. Half of this document is math and half is reading. [this link points to an archived file provided by the Wayback Machine. This site is blocked by some filters so you might want to download a copy at home] An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
Released Tests & others
  1. FCAT Sample Test Book - [2008] sample questions and test taking tips An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  2. FCAT Sample Answer Book - [2008] sample questions and test taking tips An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  3. Sixth Grade Math - Read each question and choose the best answer. Then mark the circle next to the letter for the answer you have chosen. (from Texas) This site includes questions for your students to check their understanding
  4. Texas end-of-year Math test 2003 This site includes questions for your students to check their understanding
  5. Texas end-of-year Math test 2004 This site includes questions for your students to check their understanding
Various Review Aids
  1. A PowerPoint show related to this standardGeometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
  2. Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
  3. Math Olympics - Answer 20 multiple choice questions correctly to win the Math Olympics. Topics range from basic computation and general math knowledge to word problems with percentages, ratios, and fractions. This site includes questions for your students to check their understanding
  4. A video is available through this linkMath TV: Video Word Problems - [Grades 5+] Math TV is a project whose goal is to help middle school students learn how to solve challenging word problems. Each of the nineteen math problems comes with step by step video solution, follow up problems, an online calculator, and sketch pad.
  5. A video is available through this linkMathVids - a web site providing high quality, instructional, free math videos to middle school, high school, and college students who need math help
  6. Ms. Lindquist: The Tutor - A free, web-delivered, intelligent tutoring system for tutoring students in writing expressions for algebra word problems. This site is sponsored by NSF. This site is interactive and allows students to play a game or input or collect data
  7. A video is available through this linkSolve It! - Math Videos provide problem solving practice for students in grades 3 to 6. Each of the thirteen sets contain five multi step word problems with step by step video solutions. Concepts include basic operations, algebraic reasoning, money, fractions, percent, perimeter, area, proportional reasoning, and measurement.
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