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6th Grade TN Math Standards  - 2009-2010 Implementation
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Mathematical Processes | Number & Operations | Algebra | Geometry & Measurement | Data Analysis, Statistics, and Probability | Review Help
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(addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)

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Mathematical Processes

Tennessee Mathematics Standards
2009-2010 Implementation
Internet Resources
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

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
  2. Basic Math Operators in Excel - a TeacherTube video [7:24]
  3. Coolmath's Graphing Calculator - scroll down for instructions on using the graphing calculator
  4. Excel Order of Operations - understanding how Excel worksheets handle order of operations [BEDMAS]
  5. Math, Comparison, and Logical Operator Symbols - information organized into easy-to-read tables
  6. Math Open Reference Scientific Calculator - scientific calculator similar to those from TI, Casio, HP - extensive explanation of conventions used
  7. Mathematical Operators in Excel Spreadsheets - screen shots and a listing of symbols used in Excel spreadsheets to indicate math operators
  8. Spreadsheet Math Fundamentals - protocols to be used when writing math formulas and functions in spreadsheets
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.
  2. Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
  3. Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz &
  4. Estimation Strategies - several strategies are discussed
  5. Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)
  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 is an Adobe Acrobat document
  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.
  11. Pinocchio estimation game - suggested game for developing the skill of estimation
  12. Scaling the Universe to Your Desktop - estimating size
  13. Spy Guys Interactive - Rounding Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 9
  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.
  15. Word problems - online quiz adding and subtracting fractions
  16. Your Body as a Ruler - a user's manual
Recognize errors generated by rounding.
0606.1.3
  1. Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz &
  2. Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz &
  3. Round About - [this link opens in a new window] estimate by rounding. (Author - Sandi King)
  4. Rounding Off - Three levels are available in this game from BBC Education
Describe how changes in one quantity or variable result in changes in another.
0606.1.4
  
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 Model of the Distributive Property - a TeacherTube video [2:18]
  2. Area Models for Multiplication and Division - an Annenberg lesson plan from their Learning Math series
  3. Basic Number Properties: Associative, Commutative, and Distributive - explanation from Purple Math
  4. Commutative Property - addition and multiplication properties are explained using an animated image
  5. Commutative Property - explanation and examples
  6. Commutative & Associative Properties - this PowerPoint show includes a ten question quiz with answers
  7. Commutativity - the ability to change the order of something without changing the end result [Wikipedia]
  8. Distributive Property - uses animated images to help explain the property
  9. Distributive Property - short animation that loops
  10. Distributive Property - five slide PowerPoint show which uses animation very effectively
  11. Number Properties - from Online Math Learning
  12. Use the distributive property to simplify numerical and variable expressions - an eleven slide PowerPoint show which use animation effectively to teach the concept
  13. Which Property - quiz in the form of a PowerPoint show
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.
Formulate questions, design studies, and collect real world data.
0606.1.7
  
Determine an appropriate sample to test an hypothesis.
0606.1.8
  
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
    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
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
  2. Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
  3. Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz &
Model algebraic expressions with manipulatives, technology, and pencil and paper.
0606.1.11
  1. Activities at Illuminations - Illuminations has 100 online activities available. Select which types of activities you’re looking for, and click Search.
  2. Base 10 Blocks - virtual manipulative
  3. Colored Chip Models - use manipulatives to model addition, subtraction, multiplication, and division with positive and negative integers [includes two practice problems]
  4. Electronic Examples - index of manipulatives from NCTM
  5. GeoBoard - this two-part example describes activities that use interactive geoboards
  6. Integer Bars - learning fractions and more with on-line manipulatives
  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
  9. Tangrams - interactive geometric site
  10. Virtual Manipulatives - a list of various manipulatives for grades 1-6
  11. 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
Make conjectures and predictions based on data.
SPI 0606.1.1
 
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
Use concrete, pictorial, and symbolic representation for integers.
SPI 0606.1.3
 
Select the representation that models one of the arithmetic properties (commutative,
associative, or distributive).
SPI 0606.1.4
  1. Area Model of the Distributive Property - a TeacherTube video [2:18]
  2. Area Models for Multiplication and Division - an Annenberg lesson plan from their Learning Math series
  3. Basic Number Properties: Associative, Commutative, and Distributive - explanation from Purple Math
  4. Commutative Property - addition and multiplication properties are explained using an animated image
  5. Commutative Property - explanation and examples
  6. Commutative & Associative Properties - this PowerPoint show includes a ten question quiz with answers
  7. Commutativity - the ability to change the order of something without changing the end result [Wikipedia]
  8. Distributive Property - uses animated images to help explain the property
  9. Distributive Property - short animation that loops
  10. Distributive Property - five slide PowerPoint show which uses animation very effectively
  11. Number Properties - from Online Math Learning
  12. Use the distributive property to simplify numerical and variable expressions - an eleven slide PowerPoint show which use animation effectively to teach the concept
  13. Which Property - quiz in the form of a PowerPoint show
Model algebraic expressions using algebra tiles.
SPI 0606.1.5
  1. Algebra Tiles - 8 slide PowerPoint show on using tiles with expressions involving exponents
  2. Algebra Tiles - 33 slide PowerPoint show on using tiles with addition, subtraction, multiplication or division
  3. Algebra Tiles - from the National Library of Virtual Manipulatives
  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. Let's Do Algebra Tiles - 54 slide PowerPoint show giving examples
  7. Modeling 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
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Number & Operations
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
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 =
  2. Comparing Fractions Factsheets - seven factsheets are available
  3. Comparing Fractions Game - three levels are available
  4. Comparing Fractions Games - two games; Dolphin Racing, and Ordering Game
  5. Comparing Fractions Quiz - three levels are available
  6. Comparing Fractions Worksheets - four worksheets available
  7. Comparing Integers - Comparing integers with absolute values
  8. Comparing Numbers Factsheets - five sheets to print
  9. Comparing Numbers Quiz - three levels available
  10. Comparing Numbers Worksheet - three sheets to print
  11. Comparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two-digit decimal values.
  12. Evaluating Expressions - a four step lesson
  13. Evaluating Expressions - Get out your pencils and calculators and give these a try!
  14. Fraction Sorter - interactive site posted by Shodor
  15. Greater, Less Than, or the Same - Compare these decimals
  16. Ordering Decimal Numbers - click and drag the numbers to put them in order from least to greatest
  17. Ordering Decimal Numbers II - click and drag the numbers to put them in order from least to greatest
  18. Percent with a Calculator - after the lesson there are problems to work
  19. Put Numbers in Order Game - three levels are available sort 4, 6 or 8 numbers
  20. 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
  21. Spy Guys Interactive - Understanding Integers - Click Skip Intro, then select Lessons, and then click on Lesson 6
  22. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
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 - online quiz
  3. Multiply fractions - with circles,mixed number times a whole number
  4. Multiplying Rational Fractions - online quiz - (answers provided)
  5. Multiplying Fractions - [this link opens in a new window] Soccer Shootout - [Caution: the answer must be reduced to be graded as correct. For example; 2/3 not 4/6.] (FunBrain activity)
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
  2. Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations.
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 - a Quiz
  3. All About Ratios - links to several lessons by Cynthia Lanius
  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 - online quiz
  7. Determine the number based on the ratio - instruction and review, practice, and a quiz &
  8. Determining the Ratio - instruction and review, practice, and a quiz &
  9. Figure This: Math Challenge for Families - proportional reasoning
  10. The Importance of Ratios and Proportions - this comes under the heading of a perfect answer to "Why do I have to learn this?" - how a stock market trader benefits from ratio and proportion
  11. Interpreting and Applying Proportions - online quiz
  12. Learning ratios and proportions through scale drawings - a text lesson plan
  13. Math for Morons Like Us - a ThinkQuest entry on ratio
  14. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems
    1. You Tube video of the same lesson - Instructor: Ms. Jenkins
  15. Percentages and Proportions - online quiz
  16. Percents and Ratios - AAA math site with many interactive quizzes - instruction and review, practice, and a quiz &
  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 &
  18. Percent with a Calculator - after the lesson there are problems to work
  19. Practice with Ratios - online quiz
  20. Proportion Practice Test - thirteen multiple choice questions
  21. Proportions and Ratios - good explanation of means and extremes from Free Math
  22. Rags to Riches: Ratio and Proportion Quiz - [this link opens on a new page] quiz at Quia
  23. Rates, Ratios, and Proportions - [this link opens on a new page] a two person quiz from Quia
  24. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
  25. Ratio & Proportion - math review practice exercises
  26. Ratio & 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.)
  27. Ratio and Proportion - explanation and examples
  28. Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems
  29. Ratio and Proportion Quiz - play this game to practice writing ratios
  30. 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?
  31. 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.
  32. Ratios - a six page module from Purple Math
  33. Ratios and Proportions - explanation with four sample problems
  34. Ratios and Proportions - an interactive lesson in a slide show format
  35. Ratios and Proportions - an 18 slide PowerPoint show
  36. Ratios and Proportion Review - a 12 slide PowerPoint show
  37. Reduce Ratios to Lowest Terms - interactive quiz - instruction and review, practice, and a quiz &
  38. Review of Proportion - examples and practice problems
  39. Review of Ratios - examples and practice problems
  40. Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
  41. Spy Guys Interactive - Ratio - Click Skip Intro, then select Lessons, and then click on Lesson 3
  42. Teaching Ratios and Proportions - suggestion for teachers and parents
  43. Using Proportions - online quiz
Recognize a:b, a/b, and “a to b” as notations for ratios.
0606.2.5
  
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
  2. Chances Are - [this link opens on a new page] predict the likelihood of events using a circle graph with percentages as a model (Author - Michaél Dunnivant)
  3. Finding a percent of a quantity - online quiz
  4. Fraction Bar - add a bar then break it into fractions, decimals, or percents
  5. Fractions, Decimals or Percent - two are given, you supply the third
  6. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
  7. Percent Game - [this link opens on a new page] Funbrain site
  8. Percent Problems - [this link opens on a new page] a one-player, or two-player game from Quia
  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)
  10. Percents and Wholes - online quiz
  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 - more percent practice
  14. Shopping at Troy's Toys - percent shopping
  15. Solving Percent Problems Using a Pyramid Grid - an interactive lesson
  16. Spy Guys Interactive - Percent - Click Skip Intro, then select Lessons, and then click on Lesson 4
  17. Using percents - online quiz
  18. Using the Proportion Method to Solve Percent Problems - practice problems at the end
  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
Connect ratio and rate to multiplication and division.
0606.2.7
  
Recognize that a terminating decimal equals a fraction with a denominator that is a power of ten.
0606.2.8
 
Recognize that the decimal form of a rational number either terminates or repeats.
0606.2.9
 
Explore contexts that can be described with negative numbers (such as money, elevation, and temperature).
0606.2.10
 
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
Solve problems involving the multiplication and division of fractions.
SPI 0606.2.1
 
Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers.
SPI 0606.2.2
  1. Age Word Problems - Online lesson on how to do these types of problems, plus practice
  2. Calculate percent - Discover relationships between fractions, percents, and decimals
  3. Equation Match - Find the value of X in each equation
  4. Late Delivery - Find the value of expression written on each door to deliver the mail
  5. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
  6. Multi-Step Word Problems - seven pages of problems for your students - solutions included at the end of the document This is an Adobe Acrobat document
  7. Percent Game - [this link opens on a new page] Funbrain site
  8. Problem Solving - worksheets to be printed
  9. Simple Interest Problems - instruction and review, practice, and a quiz &
  10. Simple Interest Calculations - online lesson
  11. Simple Interest Rates - instruction and review, practice, and a quiz &
  12. Two Step Equation Word Problems - two videos to use to practice this subject
  13. Two Step Maths Word Problems - this UK site allows students to take a short 10-question quiz
  14. Two Step Word Problems - a one sheet problem set to print and use in class This is an Adobe Acrobat document
    1. Four more two step word problems This is an Adobe Acrobat document
  15. Unstated Information in Fraction Problems - use the information provided to find the unstated information
  16. Using percents - online quiz
  17. Verbal Reasoning - Challenges students to clearly understand a problem and think through the solution!
  18. Word Problems for Kids - Select your grade level and good luck! Hints are provided (grades 5-12)
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
  2. Addition with Two decimals - check mark appears if answer is correct
  3. Comparing fractions and decimals - interactive game
  4. Complete the number sentence - [this link opens on a new page] All operations with decimals
  5. Decimal addition - Push the green blocks into the holes to make the target number.
  6. Dividing Decimals - [this link opens on a new page] Complete the number sentence
  7. Division of Decimals - [this link opens on a new page] Divide with 2 decimals
  8. Division of Decimals - [this link opens on a new page] Divide with 3 decimals
  9. Fractions, Decimals or Percent - two are given, you supply the third
  10. Multiplying and Dividing with Decimals - online quiz from Glencoe math
  11. Multiplying with decimals - [this link opens on a new page] Multiplying numbers with two decimals
  12. Rounding off - round numbers to significant decimal places
  13. Spy Guys Interactive - Decimals - Click Skip Intro, then select Lessons, and then click on Lesson 1
  14. Subtracting with decimals - Subtraction with one decimal digit
  15. Subtracting with decimals - Subtraction with three decimal digits
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
  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!
  3. Fraction Practice - [this link opens on a new page] All operations, mixed practice - (explanations given for wrong answers)
  4. Fractional Distances - find Grampy by entering a fractional distance - (includes mixed numbers and various fractions)
  5. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
  6. Rename Fractions in Lowest Terms - practice in renaming fractions
  7. Unstated Information in Fraction Problems - use the information provided to find the unstated information
  8. Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions
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
  2. Converting Fractions, Decimals, and Percents - from Fact Monster
  3. Fractions Converted to Percent and Decimals - an eleven question quiz from McGraw Hill Ryerson.
  4. Fraction Decimal Conversion - [this link opens on a new page] a Quia matching quiz
  5. Fraction Decimal Conversion - [this link opens on a new page] another Quia matching quiz
  6. Fraction Decimal Conversion - [this link opens on a new page] a Quia concentration style quiz
  7. Practice Converting Percent to Fractions - instruction and review, practice, and a quiz &
Solve problems involving ratios, rates and percents.
SPI 0606.2.6
  1. Percent
    1. Calculate percent - Discover relationships between fractions, percents, and decimals
    2. Chances Are - [this link opens on a new page] predict the likelihood of events using a circle graph with percentages as a model (Author - Michaél Dunnivant)
    3. Finding a percent of a quantity - online quiz
    4. Fraction Bar - add a bar then break it into fractions, decimals, or percents
    5. Fractions, Decimals or Percent - two are given, you supply the third
    6. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
    7. Percent Game - [this link opens on a new page] Funbrain site
    8. Percent Problems - [this link opens on a new page] a one-player, or two-player game from Quia
    9. Percentages and Proportions - online quiz
    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)
    11. Percents and Wholes - online quiz
    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
    15. Shopping at Troy's Toys - percent shopping
    16. Solving Percent Problems Using a Pyramid Grid - an interactive lesson
    17. Spy Guys Interactive - Percent - Click Skip Intro, then select Lessons, and then click on Lesson 4
    18. Using percents - online quiz
    19. Using the Proportion Method to Solve Percent Problems - practice problems at the end
    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
  2. Ratio and Proportion
    1. Algebra: Proportion Word Problems - explanation and examples [direct and inverse proportion explained]
    2. All About Ratios - a Quiz
    3. All About Ratios - links to several lessons by Cynthia Lanius
    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 - online quiz
    7. Determine the number based on the ratio - instruction and review, practice, and a quiz &
    8. Determining the Ratio - instruction and review, practice, and a quiz &
    9. Figure This: Math Challenge for Families - proportional reasoning
    10. The Importance of Ratios and Proportions - this comes under the heading of a perfect answer to "Why do I have to learn this?" - how a stock market trader benefits from ratio and proportion
    11. Interpreting and Applying Proportions - online quiz
    12. Learning ratios and proportions through scale drawings - a text lesson plan
    13. Math for Morons Like Us - a ThinkQuest entry on ratio
    14. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems
      1. You Tube video of the same lesson - Instructor: Ms. Jenkins
    15. Percentages and Proportions - online quiz
    16. Percents and Ratios - AAA math site with many interactive quizzes - instruction and review, practice, and a quiz &
    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 &
    18. Percent with a Calculator - after the lesson there are problems to work
    19. Practice with Ratios - online quiz
    20. Proportion Practice Test - thirteen multiple choice questions
    21. Proportions and Ratios - good explanation of means and extremes from Free Math
    22. Rags to Riches: Ratio and Proportion Quiz - [this link opens on a new page] quiz at Quia
    23. Rates, Ratios, and Proportions - [this link opens on a new page] a two person quiz from Quia
    24. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
    25. Ratio & Proportion - math review practice exercises
    26. Ratio & 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.)
    27. Ratio and Proportion - explanation and examples
    28. Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems
    29. Ratio and Proportion Quiz - play this game to practice writing ratios
    30. 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?
    31. 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.
    32. Ratios - a six page module from Purple Math
    33. Ratios and Proportions - explanation with four sample problems
    34. Ratios and Proportions - an interactive lesson in a slide show format
    35. Ratios and Proportions - an 18 slide PowerPoint show
    36. Ratios and Proportion Review - a 12 slide PowerPoint show
    37. Reduce Ratios to Lowest Terms - interactive quiz - instruction and review, practice, and a quiz &
    38. Review of Proportion - examples and practice problems
    39. Review of Ratios - examples and practice problems
    40. Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
    41. Spy Guys Interactive - Ratio - Click Skip Intro, then select Lessons, and then click on Lesson 3
    42. Teaching Ratios and Proportions - suggestion for teachers and parents
    43. Using Proportions - online quiz
Locate positive rational numbers on the number line.
SPI 0606.2.7
 
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.
  2. Spy Guys Interactive - Understanding Integers - Click Skip Intro, then select Lessons, and then click on Lesson 6
National Library of Virtual Manipulatives

  1. Number & Operations [Grades 6 - 8]

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Algebra
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
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.
  2. Spy Guys Interactive - Balancing Equations - Click Skip Intro, then select Lessons, and then click on Lesson 11
  3. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
  4. Translate Sentences into Equations
  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!
  7. Word Problem Practice - Problems in addition, subtraction and more (Warning: many pop-up ads on this site)
Write and solve one-step inequalities corresponding to given situations (non-negative numbers only).
0606.3.2
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
 
Generate data and graph relationships concerning measurement of length, area, volume, weight, time, temperature, money, and information.
0606.3.4
 
Use the commutative, associative and distributive properties to show that two
expressions are equivalent.
0606.3.5
 
Use equations to describe simple relationships shown in a table or graph.
0606.3.6
 
Move fluently between different representations (such as verbal, tabular, numerical, algebraic, and graphical) of equations and expressions.
0606.3.7
 
Represent patterns using words, graphs, and simple symbolic notation.
0606.3.8
  1. Create your own pattern - Drag shapes to create a pattern. Instructions on how to use this page in your classroom.
  2. Number Cracker - guess what number comes next in the pattern
  3. Select the shape that comes next - a worksheet to print
  4. Spy Guys Interactive - Summarizing/Extending Patterns - Click Skip Intro, then select Lessons, and then click on Lesson 8
  5. What Comes Next - customizable worksheet source
Write a contextual story modeled by a given graph.
0606.3.9
  
Understand that in an ordered pair (x, y), the x represents horizontal location and y represents vertical location.
0606.3.10

Identify the quadrant of the coordinate system in which a point lies.
0606.3.11
  1. Billy Bug - Guide Billy to the coordinates hiding the food. coordinates 0-10 | coordinates 0-5
  2. Catch the Fly - [all 4 quadrants are used] 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.
  3. Coordinate Geometry - introduction, explanation, examples and practice problems
  4. Coordinate Plane Practice - students type ordered pairs in the blocks on this interactive PowerPoint show
  5. 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. 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.
  7. Graphing Applet - interactive site which identifies the ordered pairs of points students click on - Advanced version of the same applet
  8. Graphing Equations and Inequalities Unit Quiz
  9. Graphing Ordered Pairs - explanation and interactive practice
  10. Graphing Skills - [this link opens in a new window] What's the point? find the point on the grid (choose Easy for Quadrant 1 problems)
  11. Greg's Grid Graphs - [this link opens on a new page] help Greg and his family plan their visit to the museum
  12. Grid Graph - [this link opens in a new window] identify and plot points on a grid (Author - Paulette Boggs)
  13. Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines.
  14. Ordered Simple Plot - interactive coordinate plane from Shodor
  15. Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations.
  16. Rectangular Coordinate System - algebra tutorial
  17. Reading a Grid - Find Hurkle behind the grid. Type ordered pairs to find him
  18. 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.
  19. 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.
  20. 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.
  21. Spy Guys Interactive - Using Ordered Pairs - Click Skip Intro, then select Lessons, and then click on Lesson 18
  22. Stock the Shelves - [this link opens on a new page] You are the clerk. Stock the shelves using a special coordinate plane.
  23. What's the Point? - [this link opens on a new page] a coordinate plane game from Funbrain.com (use the hardest level)
  24. Worksheet 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.
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
Represent on a number line the solution of a linear inequality.
SPI 0606.3.1
 
Use order of operations and parentheses to simplify expressions and solve problems.
SPI 0606.3.2
  1. Algebra: Order of Operations - [this link opens on a new page] a quiz from Quia
  2. Calculations Using Order of Operations - AAA Math lesson and practice problems &
  3. Division and Order of Operations - matching game
  4. Evaluating Algebraic Expressions - from Regents Prep
  5. Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S.
  6. Exploring Order of Operations - [game] click on the operations in correct order
  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
  9. Math 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
  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.
  13. Order of Operations - a 16 slide PowerPoint show with practice problems
  14. Order of Operations - a 13 slide PowerPoint show which makes good use of animation
  15. Order 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
  17. Order of Operations Game - from MathFrog
  18. Order of Operations Pretest - ten multiple choice questions
  19. Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems
  20. Order of Operations Tutorial - work through several examples