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Use this arrow to go to 6th grade standards 7th grade Math Standards Use this arrow to go to 8th grade 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 5/22/2009
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Use this arrow to go to a page of older 7th grade math standards 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 | 6.1.12

Abbreviations - Recognize common abbreviations (such as gcd/gcf and lcm).
0706.1.1

  1. Common Mathematics Abbreviations - Abbreviations.com has almost 1500 mathematics abbreviations
  2. Common Math Abbreviations and Symbols - a one page MS Word document with a second page for students to write new abbreviations as you teach them A Microsoft Word document to be downloaded This link includes something for the teacher to print
  3. Common Math Symbols and Abbreviations - a six page document An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  4. Some Common Mathematical Symbols and Abbreviations (with History) - a four page document which includes latin terms An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
Rounding - Recognize round-off error and the inaccuracies it introduces.
0706.1.2
  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 and 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 and This site includes questions for your students to check their understanding
  3. Round About - estimate by rounding. 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
  5. Spy Guys Interactive - Rounding Numbers - Lesson 9 A video is available through this link
Estimation - Check answers both by estimation and by appropriate independent calculations, using calculators or computers judiciously.
0706.1.3
  1. Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
  2. 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
  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 and 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. 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
  10. Pinocchio estimation game - suggested game for developing the skill of estimation A lesson plan can be found at this site
  11. Scaling the Universe to Your Desktop - estimating size
  12. 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
  13. Word problems - five-question multiple-choice quiz on adding and subtracting fractions This site includes questions for your students to check their understanding
  14. Your Body as a Ruler - a user's manual
Inversely Proportional - Recognize quantities that are inversely proportional (such as the relationship between the lengths of the base and the side of a rectangle with fixed area).
0706.1.4
  1. Algebra: Proportion Word Problems - explanation and examples [direct and inverse proportion explained]
  2. Cat and Mouse: Direct and inverse proportion - The problem is actually a great opportunity to teach direct variation and inverse variation.
  3. Inverse Proportion - this explanation provides a clearly explained example
  4. A PowerPoint show related to this standardInverse Proportion - this 18 slide show has several examples
  5. Inverse Proportion Problems - from Annenberg's Learning Math series This site includes questions for your students to check their understanding
  6. Math Word Problems [Variation or Inverse Proportion] - eight question multiple choice quiz This site includes questions for your students to check their understanding
  7. Proportionality (mathematics) - this Wikipedia article explains direct and inverse proportion
  8. Ratio, proportion and percentages [inverse proportion] - explanation, one example, and three practice problems
  9. Some Inverse Proportion Problems - all about how one change causes another [a 2 page MS Word document] A Microsoft Word document to be downloaded
Direct Proportion - Understand that a linear function in which f(0) = 0 is called a directly proportional relationship.
0706.1.5
  1. Algebra: Proportion Word Problems - explanation and examples [direct and inverse proportion explained]
  2. Direct Proportion - this explanation provides a clearly explained example
  3. Direct Proportion - explanation and practice problems [Caution: metric units and UK monetary units used]
  4. A PowerPoint show related to this standardDirect Proportion - this 18 slide PowerPoint show has several examples
  5. A PowerPoint show related to this standardDirect Proportion - a 37 slide PowerPoint show with several "starter questions"
  6. How to Determine Whether Two Variables Are Directly Proportional - explanation and several graphs
  7. Math Word Problems [Direct Variation or Direct Proportion] - eight question multiple choice quiz This site includes questions for your students to check their understanding
  8. Ratio, proportion and percentages [direct proportion] - explanation, two examples, and two practice problems
  9. Solving Problems Involving Direct Proportion - [close the subscription screen to get to the problems] some good practice problems are presented here, UK units used
  10. Solving Proportion Problems - four examples with detailed explanation
Intercept - Develop meaning of intercept and rate of change in contextual problems.
0706.1.6
  1. How to Use the Slope Intercept Form (in Algebra) - explanation from Wiki How-to
  2. Learning about Rate of Change in Linear Functions Using Interactive Graphs - lesson plan from NCTM A lesson plan can be found at this site
  3. The Meaning of Slope and y-Intercept in the Context of Word Problems - explanation from Purple Math
  4. Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations
  5. Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key
  6. 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
  7. 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
  8. Writing Equation of a Line - [short opening promo included] video lesson from YourTeacher.com A video is available through this link
Scale - Explain and demonstrate how scale in maps and drawings shows relative size and distance.
0706.1.7
  1. Index of topics and quizzes offered by David J. Leveson at CUNY in Brooklyn, NY
  2. Latitude and Longitude quiz - quiz that checks answers This site includes questions for your students to check their understanding
  3. A Map For All Reasons - students identify the function of various parts of a map This site is interactive and allows students to play a game or input or collect data
  4. Map Reading Activities - practice reading maps using compasses, latitude, longitude and more This link includes something for the teacher to print
  5. Map Skills Quiz - quiz to test knowledge of reading maps This site includes questions for your students to check their understanding
  6. Mathematics of Cartography - several map activity from Cynthia Lanius
  7. National Atlas of the United States
  8. Reading Map Symbols - identify symbols with words This site is interactive and allows students to play a game or input or collect data This resource includes voice instructions for students
  9. What do Maps Show - Several activities are presented to assist in teaching the concepts of reading maps.
  10. What’s On a Map? - eight questions about using various parts of a map This site is interactive and allows students to play a game or input or collect data
Scale Factor - Recognize the applications of scale factor by exploring blueprints, shadow measuring, and scale models.
0706.1.8
  1. Applications of Culture in Mathematics - [NCCTM lesson plan] Students will use the concepts of similarity,
  2. Designing a Soccer Field - lesson plan using scale drawings A lesson plan can be found at this site
  3. scale factors, and conversion factors to make scale drawings of different Malawian houses An Adobe Acrobat document in .pdf format A lesson plan can be found at this site
  4. Designing a Tennis Court - lesson plan using scale drawings A lesson plan can be found at this site
  5. Drawing Scale in CAD - summarizes the relationship between drawing scale and drawing scale factor and describes how to work with them in new and existing drawings
  6. A PowerPoint show related to this standardI Can Solve Problems Using Scale Drawings! - an 18 slide PowerPoint show
  7. Pictures to use in scale factor activities - Yankee Stadium - Orange Bowl Stadium
  8. Scale Drawings - explanation and two practice problems
  9. A PowerPoint show related to this standardScale Drawings and Scale Models - a 17 slide PowerPoint show could be used as a lesson A lesson plan can be found at this site
  10. A resource for the teacher to use in planning their lessonsTeaching Idea - Use Google Maps to find a picture of an object of known size and from that, the size of other objects nearby. Example: At Wikipedia I found length of a side (each side is 591 ft) and the map coordinates for the Pyramid at Memphis, TN (35° 9′ 21.03″ N, 90° 3′ 7.49″ W). I then used Google Maps to locate an aerial image of the area and estimated the length of a string of barges in the Mississippi River to be 1740 ft.
Books, Stories, and Videos - Use age-appropriate books, stories, and videos to convey ideas of mathematics.
0706.1.9
  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 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 three 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
Manipulatives - Model algebraic equations with manipulatives, technology, and pencil and paper.
0706.1.10
  1. Activities at Illuminations - Illuminations has 102 online 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 or This interactive site would work well on an interactive whiteboard
  7. Math Playground - a small but growing collection of manipulatives for teaching and learning 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
  8. National Library of Virtual Manipulatives - sixteen Algebra manipulatives for grades 6-8 [More topics and grade levels available at the NLVM home page] 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. 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 or This interactive site would work well on an interactive whiteboard
  10. 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
  11. 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
  12. Virtual Manipulatives - a list of various manipulatives for grades 1-6
  13. Wolfram Demonstrations Project - a free resource of interactive visualizations from elementary education to the frontiers of research
Notation - Translate from calculator notation to scientific/standard notation.
0706.1.11
  1. Calculating with Scientific Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page
  2. Converting Numbers to Scientific Notation - 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. Converting Standard Numbers to Scientific Notation - 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
  4. Converting from Scientific Notation to Standard Numbers - 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. Comparing Scientific and Standard Notation Numbers - 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
  6. Converting Decimal Numbers to Scientific Notation - 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
  7. Converting from Scientific Notation to Decimal Numbers - 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. Converting Fractions to Scientific Notation - 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. Cube of a Number - 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
  10. Division Using Scientific Notation - - two examples and seven practice problems This site includes questions for your students to check their understanding
  11. Evaluating Exponents of Negative Numbers - 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
  12. Exponential Expressions - find the exponential expression that is equivalent to the number given This site is interactive and allows students to play a game or input or collect data
  13. Exponent Practice - 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
  14. Exponents - Unit 3 from Ms. Glosser's Math Goodies
  15. Interactive Algebra Review on Integer Exponents - [service unavailable on 5/22/2009] This site is interactive and allows students to play a game or input or collect data
  16. Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems This site includes questions for your students to check their understanding
  17. Multiplication in Scientific Notation - four examples and seven practice problems This site includes questions for your students to check their understanding
  18. Practice with Scientific Notation - Pencil and paper may be needed - (answers provided)
  19. Scientific Notation - explanation from New York University's MathMol page
  20. Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros.
  21. Scientific Notation - interactive practice This site is interactive and allows students to play a game or input or collect data
  22. Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer". This site includes questions for your students to check their understanding
  23. Scientific Notation Quiz - ten multiple choice questions, each question is on a separate page This site includes questions for your students to check their understanding
  24. Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. This site is interactive and allows students to play a game or input or collect data
  25. 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
Geometry Software - Use dynamic geometry software to explore scale factor and similarity.
0706.1.12
  1. Activities at Illuminations - Illuminations has 102 online 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 or This interactive site would work well on an interactive whiteboard
  7. Math Playground - a small but growing collection of manipulatives for teaching and learning 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
  8. National Library of Virtual Manipulatives - sixteen Algebra manipulatives for grades 6-8 [More topics and grade levels available at the NLVM home page] 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. 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 or This interactive site would work well on an interactive whiteboard
  10. 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
  11. 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
  12. Virtual Manipulatives - a list of various manipulatives for grades 1-6
  13. 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

Proportional Reasoning - Use proportional reasoning to solve mixture/concentration problems.
SPI 0706.1.1

 

 


  1. All About Ratios - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  2. All About Ratios - links to several lessons by Cynthia Lanius A lesson plan can be found at this site
  3. 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.
  4. Comparing Ratios and Rates - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  5. 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
  6. 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
  7. Figure This: Math Challenge for Families - proportional reasoning
  8. Interpreting and Applying Proportions - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  9. Learning ratios and proportions through scale drawings - a text lesson plan A lesson plan can be found at this site
  10. Math for Morons Like Us - a ThinkQuest entry on ratio
  11. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems A video is available through this link
  12. Percentages and Proportions - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  13. 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) - 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. Percent with a Calculator - after the lesson there are problems to work This site includes questions for your students to check their understanding
  15. Practice with Ratios - ten question quiz, answers and explanations are available from drop down boxes This site includes questions for your students to check their understanding
  16. Proportion Practice Test - thirteen multiple choice questions, each question is on a separate page This site includes questions for your students to check their understanding
  17. Proportions and Ratios - good explanation of means and extremes from Free Math
  18. Rags to Riches: Ratio and Proportion Quiz - quiz at Quia This site includes questions for your students to check their understanding
  19. Rates, Ratios, and Proportions - a two person quiz from Quia This site includes questions for your students to check their understanding
  20. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
  21. Ratio and Proportion - math review practice exercises This site includes questions for your students to check their understanding
  22. 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.)
  23. Ratio and Proportion - explanation and examples
  24. 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
  25. 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
  26. 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
  27. 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
  28. Ratios - a six page module from Purple Math
  29. 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
  30. A PowerPoint show related to this standardRatios and Proportions - an 18 slide PowerPoint show
  31. A PowerPoint show related to this standardRatios and Proportion Review - a 12 slide PowerPoint show
  32. Review of Proportion - examples and practice problems
  33. Review of Ratios - examples and practice problems
  34. Skillwise: Ratio and Proportion - five part module - fact sheet, game, quiz, activity and worksheet
  35. Spy Guys Interactive - Ratio - Lesson 3 A video is available through this link
  36. Teaching Ratios and Proportions - suggestion for teachers and parents
  37. Using Proportions - five-question multiple-choice quiz This site includes questions for your students to check their understanding
Patterns - Generalize a variety of patterns to a symbolic rule from tables, graphs, or words.
SPI 0706.1.2
  1. Button Beach - use logic to determine the value of rows of buttons, three levels of challenge This site is interactive and allows students to play a game or input or collect data
  2. Calculating the nth Term - how to develop a formula that can be used to calculate these terms
  3. 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 A lesson plan can be found at this site
  4. 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
  5. Number Cracker - guess what number comes next in the pattern
  6. Patterns in Geometry - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  7. Patterns - Figure out the patterns, if you can! This site is interactive and allows students to play a game or input or collect data
  8. Power Lines - (math reasoning) Place numbers in the circles so all lines add to the same target number. You must get all correct to get the password to go on to the next level. level 2 | level 3 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. Writing Rules for Patterns - five-question multiple-choice quiz This site includes questions for your students to check their understanding
Relationships - Recognize whether information given in a table, graph, or formula suggests a directly
proportional, linear, inversely proportional, or other nonlinear relationship.
SPI 0706.1.3
  1. Cat and Mouse: Direct and inverse proportion - The problem is actually a great opportunity to teach direct variation and inverse variation.
  2. A PowerPoint show related to this standardDirect Proportion - a 37 slide PowerPoint show with effective animation, many examples and practice problems - UK units are used - you might want to remove slides 7, 17, 23, 30, and 37 which refer to a specific textbook
  3. Directly Proportional - the explanation includes a link to an Excel workbook which supports understanding of the topic
  4. Graph of Direct Proportionality - two sample video lessons [0:47 and 0:46 in length] show collected data and graphs A video is available through this link
  5. Index of Direct Proportion Resources - sample resources from a UK company
  6. Index of Inverse Proportion Resources - sample resources from a UK company
  7. A PowerPoint show related to this standardInverse Proportion - a 17 slide PowerPoint show with good examples, step by step solutions and good graphs
  8. Inverse Proportions - from the Learning Math series posted by Annenberg - includes practice problems and interactive applets This site is interactive and allows students to play a game or input or collect data
Maps - Use scales to read maps.
SPI 0706.1.4
  1. How Far - a quiz on distance This site includes questions for your students to check their understanding
  2. Index of topics and quizzes offered by David J. Leveson at CUNY in Brooklyn, NY
  3. Latitude and Longitude quiz - quiz that checks answers This site includes questions for your students to check their understanding
  4. A Map For All Reasons - students identify the function of various parts of a map This site is interactive and allows students to play a game or input or collect data
  5. Map Reading - using the graphic scale method for relating map distance to ground distance
  6. Map Reading Activities - practice reading maps using compasses, latitude, longitude and more This link includes something for the teacher to print
  7. Map Scale - several scales are explained
  8. Map Skills Quiz - quiz to test knowledge of reading maps This site includes questions for your students to check their understanding
  9. Mathematics of Cartography - several map activity from Cynthia Lanius
  10. National Atlas of the United States
  11. Reading Map Symbols - identify symbols with words This site is interactive and allows students to play a game or input or collect data This resource includes voice instructions for students
  12. Understanding Scale - scale classifications are discussed here
  13. Use a Road Map and a Mileage Table - follow directions, read scales and find your way around Texas in this multiple choice quiz This site includes questions for your students to check their understanding
  14. What do Maps Show - Several activities are presented to assist in teaching the concepts of reading maps.
  15. What’s On a Map? - eight questions about using various parts of a map This site is interactive and allows students to play a game or input or collect data

Use this arrow to see Number & Operations standards for 6th grade Number & Operations Use this arrow to see Number & Operations standards for 8th grade
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 | 6.2.11 | 6.2.12 | 6.2.13 | 6.2.14 | 6.2.15

Rational Numbers - Understand that the set of rational numbers includes any number that can be written as a ratio of two integers in which the denominator is not zero.
0706.2.1

  1. Rational Numbers on a Number Line - [designed for 6th grade]
    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
Algorithm - Develop and analyze algorithms and compute efficiently with integers and rational numbers.
0706.2.2
  1. Algorithm - definition from Wikipedia, there is a good flow chart example with this definition
  2. How to Calculate a Square Root Without a Calculator - scroll below the second example to see finding square roots using an algorithm
  3. Integers, Rational and Irrational Numbers - explanation from the Math Forum
  4. Number Types - explanation from Purple Math
  5. Rational Numbers - this explanation has a good concept map to clarify the relationship between types of numbers
Laws - Recognize that rational numbers satisfy the commutative and associative laws of addition and multiplication and the distributive law.
0706.2.3
  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 and 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 A video is available through this link
  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
Additive Inverse - Understand that a and –a are additive inverses and are located the same distance from zero on the number line; relate distance from zero to absolute value.
0706.2.4
  1. The Additive Inverse Property - Coolmath Pre algebra Lesson #6
  2. Decimal Number Lines - Three whiteboard resources to assist in the teaching and learning of decimals and number lines; 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
Understand - Understand that –(–a) = a for any number a.
0706.2.5
  1. Negative x Negative = Positive - explanation from Dr. Math at the Math Forum
  2. Why does multiplying two negative numbers make a positive? - Math is Fun uses a cute number line illustration to make the point
Number Line - Use the number line to demonstrate addition and subtraction with integers.
0706.2.6
  1. Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!" This site is interactive and allows students to play a game or input or collect data
  2. Line Jumper - Click on the number line at the correct answer.
  3. Number Line Bounce - Instructions on how to play are included at the top of the window. This site is interactive and allows students to play a game or input or collect data
  4. Rational Numbers on a Number Line - [designed for 6th grade]
    1. Practice problems to go with the lesson This site includes questions for your students to check their understanding
  5. 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
  6. 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
  7. A PowerPoint show related to this standardRational Numbers on a Number Line - a 22 slide PowerPoint show with good sample questions
  8. Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included This site is interactive and allows students to play a game or input or collect data
Number Sentences - Write number sentences to solve contextual problems involving ratio and percent.
0706.2.7
  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. Equivalent Fractions and Decimals - decide which answer will balance the scale This site is interactive and allows students to play a game or input or collect data
  3. Finding a percent of a quantity - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  4. Fractions, Decimals or Percent - two are given, you supply the third This site includes questions for your students to check their understanding
  5. Percents and Wholes - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  6. Percent Game - FunBrain site [these are difficult] This site is interactive and allows students to play a game or input or collect data
  7. Practice Solving Percent Problems - fifteen problems for percent practice, answers are available in pull down boxes This site includes questions for your students to check their understanding
  8. 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)
  9. Percent Problems - [Caution: if the answer is a percent, the percent sign must be typed or the answer will be considered wrong.] a one-player, or two-player Jeopardy-type game from Quia
  10. Ratio and Proportions: Similar Figures - a four part lesson including problems to work This site is interactive and allows students to play a game or input or collect data
  11. 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
  12. 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
  13. Shopping at Troy's Toys - percent shopping This site is interactive and allows students to play a game or input or collect data
  14. Solving Percent Problems Using a Pyramid Grid - an interactive lesson This site is interactive and allows students to play a game or input or collect data
  15. Spy Guys Interactive - Solving Problems with Decimals - Lesson 5 A video is available through this link
  16. Spy Guys Interactive - Improper Fractions and Mixed Numbers - Lesson 2 A video is available through this link
  17. Spy Guys Interactive - Percent - Lesson 4 A video is available through this link
  18. Using percents - five-question multiple-choice quiz 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
Ratios, Rates, Proportions and Percents - Apply ratios, rates, proportions and percents (such as discounts, interest, taxes, tips, distance/rate/time, and percent increase or decrease).
0706.2.8
  1. Interest Worksheets from EdHelper - Every time you click to create a worksheet a new worksheet is created
    1. All 1 year, only calculate Interest
    2. All 1 year, calculate interest and total payments
    3. Fractional Years and Decimal Rates
    4. Less than one year (30, 90, .. 300 days)
    5. Mixed Table with All of the Above!
    6. Interest Word Problems (Difficult)
Ordering - Efficiently compare and order rational numbers and roots of perfect squares/cubes; determine their approximate locations on a number line.
0706.2.9
  1. Compare and Order Numbers - explanation, examples and interactive applets
  2. Comparing Exponential Expressions - select, <, >, or = This site includes questions for your students to check their understanding
  3. Comparing Integers - Comparing integers with absolute values - 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
  4. Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!" 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 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.
  6. Greater, Less Than, or the Same - Compare these decimals - 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
  7. Line Jumper - Click on the number line at the correct answer.
  8. MathDrill lets your students practice <, >, or =. This site is interactive and allows students to play a game or input or collect data
  9. Number Line Bounce - Instructions on how to play are included at the top of the window. This site is interactive and allows students to play a game or input or collect data
  10. Number Line: Comparing and Ordering Integers - practice with an Interactive Adventure with Deep Sea Carl - Carl is diving in the Great Barrier Reef off the coast of Australia. These waters are shark infested. Keep Carl safe by determining how many feet below sea level Jaws Daddy is. This site is interactive and allows students to play a game or input or collect data
  11. Rational Numbers on a Number Line - [designed for 6th grade]
    1. Practice problems to go with the lesson This site includes questions for your students to check their understanding
  12. 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
  13. 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
  14. A PowerPoint show related to this standardRational Numbers on a Number Line - a 22 slide PowerPoint show with good sample questions
  15. 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
  16. Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included This site is interactive and allows students to play a game or input or collect data
Irrational Roots - Recognize that when a whole number is not a perfect square, then its square root is not rational and cannot be written as the ratio of two integers.
0706.2.10
  1. The Irrationality of the Square Root of 2 - explanation from Platonic Realms
Estimate Roots - Estimate square/cube roots and use calculators to find approximations.
0706.2.11
  1. Identify Perfect Squares - practice exercises at Math Pinball This site is interactive and allows students to play a game or input or collect data
  2. Simplifying Radical Expressions - Intermediate Algebra tutorial
  3. Simplifying Radicals - basic information about perfect square numbers
  4. Simplifying Radicals - explanation and practice problems
  5. Square Roots - Find the square root of a perfect square number. (a matching game like concentration) This site is interactive and allows students to play a game or input or collect data
  6. Squares and Square Roots - to understand square roots, first you must understand squares
Roots - Recognize this is an image of square root problems
0706.2.12
  1. The Basics of Square Roots - explanation from Basic Mathematics.com
Negative Exponents - Use the meaning of negative exponents to represent small numbers; translate between scientific and standard notation.
0706.2.13
  1. Calculating with Scientific Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page
  2. Converting Numbers to Scientific Notation - 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. Converting Standard Numbers to Scientific Notation - 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
  4. Converting from Scientific Notation to Standard Numbers - 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. Comparing Scientific and Standard Notation Numbers - 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
  6. Converting Decimal Numbers to Scientific Notation - 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
  7. Converting from Scientific Notation to Decimal Numbers - 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. Converting Fractions to Scientific Notation - 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. Cube of a Number - 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
  10. Division Using Scientific Notation - - two examples and seven practice problems This site includes questions for your students to check their understanding
  11. Evaluating Exponents of Negative Numbers - 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
  12. Exponential Expressions - find the exponential expression that is equivalent to the number given This site is interactive and allows students to play a game or input or collect data
  13. Exponent Practice - 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
  14. Exponents - Unit 3 from Ms. Glosser's Math Goodies
  15. Interactive Algebra Review on Integer Exponents This site is interactive and allows students to play a game or input or collect data
  16. Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems This site includes questions for your students to check their understanding
  17. Multiplication in Scientific Notation - four examples and seven practice problems This site includes questions for your students to check their understanding
  18. Practice with Scientific Notation - Pencil and paper may be needed - (answers provided)
  19. Scientific Notation - explanation from New York University's MathMol page
  20. Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros.
  21. Scientific Notation - interactive practice This site is interactive and allows students to play a game or input or collect data
  22. Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer". This site includes questions for your students to check their understanding
  23. Scientific Notation Quiz - ten multiple choice questions This site includes questions for your students to check their understanding
  24. Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. This site is interactive and allows students to play a game or input or collect data
  25. 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
Scientific Notation - Express numbers in scientific notation and recognize its importance in representing the magnitude of a number.
0706.2.14
  1. Calculating with Scientific Notation - explanation, several examples and links to a large number of worksheets at the bottom of the page
  2. Converting Numbers to Scientific Notation - 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. Converting Standard Numbers to Scientific Notation - 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
  4. Converting from Scientific Notation to Standard Numbers - 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. Comparing Scientific and Standard Notation Numbers - 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
  6. Converting Decimal Numbers to Scientific Notation - 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
  7. Converting from Scientific Notation to Decimal Numbers - 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. Converting Fractions to Scientific Notation - 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. Cube of a Number - 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
  10. Division Using Scientific Notation - - two examples and seven practice problems This site includes questions for your students to check their understanding
  11. Evaluating Exponents of Negative Numbers - 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
  12. Exponential Expressions - find the exponential expression that is equivalent to the number given This site is interactive and allows students to play a game or input or collect data
  13. Exponent Practice - 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
  14. Exponents - Unit 3 from Ms. Glosser's Math Goodies
  15. Interactive Algebra Review on Integer Exponents This site is interactive and allows students to play a game or input or collect data
  16. Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems This site includes questions for your students to check their understanding
  17. Multiplication in Scientific Notation - four examples and seven practice problems This site includes questions for your students to check their understanding
  18. Practice with Scientific Notation - Pencil and paper may be needed - (answers provided)
  19. Scientific Notation - explanation from New York University's MathMol page
  20. Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros.
  21. Scientific Notation - interactive practice This site is interactive and allows students to play a game or input or collect data
  22. Scientific Notation Problem Generator - either the scientific notation or standard notation representation of a number will be shown. Put the corresponding value(s) in the empty cell(s) and press "Check Answer". This site includes questions for your students to check their understanding
  23. Scientific Notation Quiz - ten multiple choice questions This site includes questions for your students to check their understanding
  24. Simplifying - Expressions that have had their like terms combined. Match each expression on the left with an expression on the right. Type the letter of the correct expression in the box. This site is interactive and allows students to play a game or input or collect data
  25. 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
Approximation - Report results of calculations appropriately in a given context (i.e. using rules of rounding, degree of accuracy, and/or significant digits).
0706.2.15
  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. 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
  3. 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 and This site includes questions for your students to check their understanding
  4. 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 and This site includes questions for your students to check their understanding
  5. 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 and This site includes questions for your students to check their understanding
  6. 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
  7. Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
  8. 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
  9. How to Simplify a Number - part of being approximate is simplifying numbers
  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. Round About - estimate by rounding. This site is interactive and allows students to play a game or input or collect data
  13. 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
  14. Scaling the Universe to Your Desktop - estimating size
  15. Spy Guys Interactive - Rounding Numbers - Lesson 9 A video is available through this link
  16. 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
  17. Word problems - quiz adding and subtracting fractions This site includes questions for your students to check their understanding
  18. Your Body as a Ruler - a user's manual
State Performance Indicators
6.2.1 | 6.2.2 | 6.2.3 | 6.2.4 | 6.2.5 | 6.2.6 | 6.2.7
Simplify Expressions - Simplify numerical expressions involving rational numbers.
SPI 0706.2.1
  1. How to Simplify a Number - part of being approximate is simplifying numbers
  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
  3. 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
Compare Rational Numbers - Compare rational numbers using appropriate inequality symbols.
SPI 0706.2.2
  1. Comparing Seven Digit Numbers - practice area followed by an interactive game This site is interactive and allows students to play a game or input or collect data
  2. Rational and Irrational number review
Use Roots - Use rational numbers and roots of perfect squares/cubes to solve contextual problems.
SPI 0706.2.3
  1. Simplifying Radical Expressions - Intermediate Algebra tutorial
  2. Simplifying Radicals - basic information about perfect square numbers
  3. Simplifying Radicals - explanation and practice problems
Roots on Number Line - Determine the approximate location of square/cube roots on a number line.
SPI 0706.2.4
  1. Decimal Number Lines - Three whiteboard resources to assist in the teaching and learning of number lines; 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
  2. How to Calculate a Square Root Without a Calculator - several example including finding square roots using an algorithm
  3. Newton 's Square Root Approximation - School for Champions explains how Isaac Newton approximated square roots
Contextual Problems - Solve contextual problems that involve operations with integers.
SPI 0706.2.5
  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
Ratio and Percent - Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
SPI 0706.2.6
  1. 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
  2. Percentages and Proportions - five-question multiple-choice quiz This site includes questions for your students to check their understanding
  3. 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
  4. 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
  5. Percent with a Calculator - after the lesson there are problems to work This site includes questions for your students to check their understanding
  6. Practice with Ratios - ten question quiz, answers and explanations are available from drop down boxes This site includes questions for your students to check their understanding
  7. Proportion Practice Test - thirteen multiple choice questions, each question is on a separate page This site includes questions for your students to check their understanding
Ratio and Proportion - Use ratios and proportions to solve problems.
SPI 0706.2.7
  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-question multiple-choice quiz 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-question multiple-choice quiz 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
  15. Practice with Ratios - ten question quiz, answers and explanations are available from drop down boxes This site includes questions for your students to check their understanding
  16. Proportion Practice Test - thirteen multiple choice questions, each question is on a separate page This site includes questions for your students to check their understanding
  17. Proportions and Ratios - good explanation of means and extremes from Free Math
  18. Rags to Riches: Ratio and Proportion Quiz - quiz at Quia This site includes questions for your students to check their understanding
  19. Rates, Ratios, and Proportions - a two person quiz from Quia This site includes questions for your students to check their understanding
  20. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
  21. Ratio and Proportion - math review practice exercises This site includes questions for your students to check their understanding
  22. 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.)
  23. Ratio and Proportion - explanation and examples
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. Ratios - a six page module from Purple Math
  30. 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
  31. A PowerPoint show related to this standardRatios and Proportions - an 18 slide PowerPoint show
  32. A PowerPoint show related to this standardRatios and Proportion Review - a 12 slide PowerPoint show
  33. 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
  34. Review of Proportion - examples and practice problems
  35. Review of Ratios - examples and practice problems
  36. Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
  37. Spy Guys Interactive - Ratio - Lesson 3 A video is available through this link
  38. A resource for the teacher to use in planning their lessonsTeaching Ratios and Proportions - suggestion for teachers and parents
  39. Using Proportions - five-question multiple-choice quiz This site includes questions for your students to check their understanding
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

Use this arrow to see Algebra standards for 6th grade Algebra Use this arrow to see Algebra standards for 8th grade
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 | 6.3.12 | 6.3.13 | 6.3.14
Linear Expressions - Perform basic operations on linear expressions (including grouping, order of operations,exponents, simplifying and expanding).
0706.3.1
  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. How to Solve Two-Step Linear Equations in Algebra - simple video lesson [1:35] A video is available through this link
  4. Intermediate Algebra Tutorial: Linear Inequalities - explanation, examples, suggested strategies and practice exercises
  5. 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
  6. 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
  7. Solving Linear Equations - explanation provided by Study Guides and Strategies
  8. Solving Multi-Step Linear Equations - this two page explanation from Purple Math includes a large number of examples
Algebraic Symbols - Represent and analyze mathematical situations using algebraic symbols.
0706.3.2
  1. Algebra - Fun with Calendars
  2. Basic Algebra - Lesson 5 - Expressions from Sentences 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. Let's Do Lunch - Students use a menu to order lunches that meet various criteria. This site is interactive and allows students to play a game or input or collect data
  5. Million Dollar Mission - a mathematics fantasy
Function - Identify a function from a written description, table, graph, rule, set of ordered pairs, and/or mapping.
0706.3.3
  1. Ambleweb Function Machine - students identify what process was used to produce a sequence of numbers (twelve processes available) This site is interactive and allows students to play a game or input or collect data
  2. Practice Quizzes and Tests - let your cursor hover over the Assess button and select one of the two quizzes (10 multiple-choice questions each) or one of the two tests (fourteen or fifteen questions) This site includes questions for your students to check their understanding
Input and Output Tables - Make tables of inputs x and outputs f(x) for a variety of rules that include rational numbers (including negative numbers) as inputs.
0706.3.4
  1. Graphing Linear Equations: Making a T-chart (finding plot points) - four pages of instructions with several examples and illustrations
Linear Function - Plot points to represent tables of linear function values.
0706.3.5
  1. How to Use the Slope Intercept Form (in Algebra) - explanation from Wiki How-to
  2. Learning about Rate of Change in Linear Functions Using Interactive Graphs - lesson plan from NCTM A lesson plan can be found at this site
  3. Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations
  4. Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key
  5. Using the X and Y Intercept to Graph Linear Equations - This follow up to the lesson on slope and real life deals with linear equations written in standard form rather than slope intercept form
  6. 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
  7. Representations of Linear Functions: Cab fares - The charge for a cab ride is determined by the length of travel. Some companies also charge a basic, fixed amount. At this site you will find descriptions of fares of three competing cab companies and you are asked to suggest a new fare.
  8. The Meaning of Slope and y-Intercept in the Context of Word Problems - explanation from Purple Math
  9. Writing Equation of a Line - [short opening promo included] video lesson from YourTeacher.com A video is available through this link
Graph of Function - Understand that the graph of a linear function f is the set of points on a line representing the ordered pairs (x, f(x)).
0706.3.6
  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. The coordinate plane - practice from Math.com This site is interactive and allows students to play a game or input or collect data
  4. A PowerPoint show related to this standardCoordinate Plane Practice - students type ordered pairs in the blocks on this interactive PowerPoint show written by Internet4Classrooms
  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.
  6. Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems
  7. 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
  8. Graphing Applet - interactive site which identifies the ordered pairs of points students click on - Advanced version of the same applet This site is interactive and allows students to play a game or input or collect data
  9. Graphing Equations and Inequalities Unit Quiz This site includes questions for your students to check their understanding
  10. Graphing linear equations. - practice from Math.com This site is interactive and allows students to play a game or input or collect data
  11. Graphing Ordered Pairs - explanation and interactive practice This site is interactive and allows students to play a game or input or collect data
  12. Greg's Grid Graphs - help Greg and his family plan their visit to the museum
  13. 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
  14. Ordered Simple Plot - interactive coordinate plane from Shodor This site is interactive and allows students to play a game or input or collect data
  15. Rectangular Coordinate System - algebra tutorial
  16. 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
  17. 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
  18. 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
  19. Slope and y-intercept - practice from Math.com This site is interactive and allows students to play a game or input or collect data
  20. Spy Guys Interactive - Using Ordered Pairs - Lesson 18 A video is available through this link
  21. 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
  22. 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
  23. 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
Proportionality - Distinguish proportional relationships (y/x = k, or y = kx) from other relationships, including inverse proportionality (xy = k, or y = k/x).
0706.3.7
  1. Algebra: Proportion Word Problems - explanation and examples [direct and inverse proportion explained]
  2. Cat and Mouse: Direct and inverse proportion - The problem is actually a great opportunity to teach direct variation and inverse variation.
  3. Inverse Proportion - this explanation provides a clearly explained example
  4. A PowerPoint show related to this standardInverse Proportion - this 18 slide show has several examples
  5. Inverse Proportion Problems - from Annenberg's Learning Math series This site includes questions for your students to check their understanding
  6. Math Word Problems [Variation or Inverse Proportion] - five question multiple choice quiz This site includes questions for your students to check their understanding
  7. Proportionality (mathematics) - this Wikipedia article explains direct and inverse proportion
  8. Ratio, proportion and percentages [inverse proportion] - explanation, one example, and three practice problems
  9. Some Inverse Proportion Problems - all about how one change causes another [a 2 page MS Word document] A Microsoft Word document to be downloaded
Slope as Ratio - Understand slope as the ratio of vertical change to horizontal change.
0706.3.8
  1. Determining Slope From a Graph - twenty problems on a sample worksheet This site includes questions for your students to check their understanding
  2. The Meaning of Slope and y-Intercept in the Context of Word Problems - explanation from Purple Math
  3. Slope of a Straight Line - explanation from Purple Math
  4. The Slope of a Line - Intermediate Algebra Tutorial 15
  5. Using Slope and y-Intercept to Graph Lines - explanation from Purple Math
Rate of Change - Identify a function exhibiting a constant rate of change as a linear function and identify the slope as a unit rate.
0706.3.9
  1. Equations and Graphs of Straight Lines - explanation of several ways to arrive at an equation or a graph
  2. Introduction to Functions - [5 pages] use this in lesson preparation or as a handout to print for your students An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  3. Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations
  4. Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key
  5. Using the X and Y Intercept to Graph Linear Equations - This follow up to the lesson on slope and rate of change deals with linear equations written in standard form rather than slope intercept form
  6. 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
  7. Straight Lines and Slopes - explanation from Regents Prep assessment preparation site
Unit Rates - Solve problems involving unit rates (e.g., miles per hour, words per minute).
0706.3.10
  1. An Adobe Acrobat document in .pdf formatApplying the Unit Rate Approach - [worksheet] students record the rate appropriate for the question asked, find the corresponding unit rate, write a short sentence interpreting the unit rate, and use the rate to find a solution to the problem This link includes something for the teacher to print
  2. An Adobe Acrobat document in .pdf formatFinding and Interpreting the Unit Rate - [worksheet] students use division to find the unit rates, then write a short sentence explaining each unit rate This link includes something for the teacher to print
  3. Proportional Relationships and Unit Rates - lesson plan with links to several worksheets A lesson plan can be found at this site
Graph a Linear Equation - Relate the features of a linear equation to a table and/or graph of the equation.
0706.3.11
  1. Algebra: Proportion Word Problems - explanation and examples [direct and inverse proportion explained]
  2. Direct Proportion - this explanation provides a clearly explained example
  3. Direct Proportion - explanation and practice problems [Caution: metric units and UK monetary units used]
  4. A PowerPoint show related to this standardDirect Proportion - this 18 slide PowerPoint show has several examples
  5. A PowerPoint show related to this standardDirect Proportion - a 37 slide PowerPoint show with several "starter questions"
  6. How to Determine Whether Two Variables Are Directly Proportional - explanation and several graphs
  7. Math Word Problems [Direct Variation or Direct Proportion] - four question multiple-choice quiz This site includes questions for your students to check their understanding
  8. Practice With Equations of Lines - ten multiple-choice questions This site includes questions for your students to check their understanding
  9. Ratio, proportion and percentages [direct proportion] - explanation, two examples, and two practice problems
  10. Solving Problems Involving Direct Proportion - [close the subscription screen to get to the problems] some good practice problems are presented here, UK units used
  11. Solving Proportion Problems - four examples with detailed explanation
Linear Equation - Use linear equations to solve problems and interpret the meaning of slope, m, and the y-intercept, b, in f(x)= mx + b in terms of the context.
0706.3.12
  1. Solving Linear Equations - this explanation from Study Guides and Strategies includes an interactive equation which asks students to click and drag to isolate for X This site is interactive and allows students to play a game or input or collect data
  2. Solving Linear Equations - a Google video lesson [12:59] A video is available through this link
  3. Solving One-Step Linear Equations - these three pages of explanations from Purple Math include some animated step-by-step examples
Linear Function - Given a graph that exhibits the intersection of a line and the y-axis, write a linear function in slope-intercept form: y = mx + b.
0706.3.13
  1. Graphing Linear Equations - introduction followed by an in-depth explanation, examples and two pages of practice questions This site includes questions for your students to check their understanding
Linear Inequalities - Understand that when solving linear inequalities, multiplication or division by a negative reverses the inequality symbol.
0706.3.14
  1. Linear Equation Problem Solver - practice problems, several options available: five levels; two, three, or four variables - students enter data, click on the "push here" button and receive a message in a box to the right. This site is interactive and allows students to play a game or input or collect data
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

Algebraic Expression - Evaluate algebraic expressions involving rational values for coefficients and/or variables.
SPI 0706.3.1

  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
Relation - Determine whether a relation (represented in various ways) is a function.
SPI 0706.3.2
  1. Determine Which Relations are Functions - [9 pages] several relations are presented and then evaluated, steps are shown for each function An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
  2. Inverse Functions and Relations - one page homework assignment 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 lessonsLook at Each Relation and Determine if it is a Range - [23 pages] use this in lesson planning - some of the pages could be used for student practice An Adobe Acrobat document in .pdf format This link includes something for the teacher to print A lesson plan can be found at this site
  4. Math Functions, Relations, Domain and Range - explanation posted at the Math Warehouse
  5. A PowerPoint show related to this standardRelations and Functions - this show covers the vertical line test and using a mapping diagram, followed by several practice exercises [10 useful slides]
  6. The Vertical Line Test - The vertical Line test is a way to determine whether or not a relation is a function. (explanation from the Math Warehouse)
  7. Which Relations are Functions? - [10 pages - 59 questions] this test is messy but usable An Adobe Acrobat document in .pdf format This link includes something for the teacher to print This site includes questions for your students to check their understanding
Function Rule - Given a table of inputs x and outputs f(x), identify the function rule and continue the
pattern.
SPI 0706.3.3
  1. Before I Write the Rules - [4 pages] a document to print and use as student homework A Microsoft Word document to be downloaded This link includes something for the teacher to print
  2. A PowerPoint show related to this standardFunction Rules - [13 slides] explanation, examples and student practice
  3. A PowerPoint show related to this standardFunction Rules and Other Tight Math Stuff - [17 slides] four topics are covered; writing function rules from tables, writing tables from function rules, graphing tables and function rules, and writing function rules from graphs [this show needs editing; remove the sounds before using in your classroom]
Slope - Interpret the slope of a line as a unit rate given the graph of a proportional relationship.
SPI 0706.3.4
  1. Linear Equation Test - two questions regarding slope, one regarding y-intercept, and four about equations of the line This site includes questions for your students to check their understanding
  2. Using the Graphing Calculator to Investigate Lines and Slopes - The TI-83 graphing calculator was used for this explanation, but any graphing utility would work just as well.
Equations, Tables and Graphs - Represent proportional relationships with equations, tables and graphs.
SPI 0706.3.5
  1. Graphing Linear Equations: Making a T-chart (finding plot points) - four pages of instructions with several examples and illustrations
Linear Equations - Solve linear equations with rational coefficients symbolically or graphically.
SPI 0706.3.6
  1. Linear Equation Solver - [advanced] a java applet which lets your students enter variables [three equations, three unknowns] This site is interactive and allows students to play a game or input or collect data
  2. Linear Equation Solver - select from three types of equations This site is interactive and allows students to play a game or input or collect data
  3. Solving Linear Equations - seven practice problems, solutions available for each problem This site includes questions for your students to check their understanding
Real-World - Translate between verbal and symbolic representations of real-world phenomena
involving linear equations.
SPI 0706.3.7
  1. Application of Linear Equations - this page is about a topic that most students hate, applications of linear equations - in other words story problems or word problems
  2. Internet Project - let your cursor hover over the Assess button and select Internet Project - Students will collect data and then make a scatter plot and a best fit line, find the slope, y-intercept and the equation of a line This site is interactive and allows students to play a game or input or collect data
Linear Equations - Solve contextual problems involving two-step linear equations.
SPI 0706.3.8
  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. How to Solve Two-Step Linear Equations in Algebra - simple video lesson [1:35] A video is available through this link
  4. Intermediate Algebra Tutorial: Linear Inequalities - explanation, examples, suggested strategies and practice exercises
  5. 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
  6. 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
  7. Solving Linear Equations - explanation provided by Study Guides and Strategies
  8. Solving Multi-Step Linear Equations - this two page explanation from Purple Math includes a large number of examples
Linear Inequality - Solve linear inequalities in one variable with rational coefficients symbolically or
graphically.
SPI 0706.3.9
  1. Practice Lessons - Let your cursor hover over the Help Desk button and select Glossary. Select a term and then click on the [Go to lesson] link to see a lesson on the selected term. Each lesson includes examples and interactive applets for your students to manipulate the variables. This small window does not have a Back button, but pressing the Backspace key on your keyboard will allow you to go Back. This site is interactive and allows students to play a game or input or collect data
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


Use this arrow to see Geometry & Measurement standards for 6th grade Geometry & Measurement Use this arrow to see Geometry & Measurement standards for 8th grade
6.4.1 | 6.4.2 | 6.4.3 | 6.4.4 | 6.4.5
Checks for Understanding (Formative/Summative Assessment)
Indirect Measurement - Solve problems involving indirect measurement such as finding the height of a building by comparing its shadow with the height and shadow of a known object.
0706.4.1
  1. Building Height - lesson plan from Illuminations [includes a good illustration] A lesson plan can be found at this site
  2. Find the Altitude of a Flying Kite - using a clinograph [instructions included on how to make a clinograph]
  3. An Adobe Acrobat document in .pdf formatHow to Measure Chimney Height - ignore the one about the barometer (that's just a joke), the suggestions in yellow are good.
  4. Measurement Estimation - instructions from an outdoor skills handbook for scouts
  5. Measuring the Height of a Building Using Shadows - explanation from Dr. Math at the Math Forum
  6. A Simple Way to Find the Altitude of a Flying Kite - this NASA site includes an interactive applet This site is interactive and allows students to play a game or input or collect data
  7. An Adobe Acrobat document in .pdf formatUsing Similar Triangles and Rectangles - in this investigation, you can use similar triangles to estimate heights and distances that are difficult to measure directly A lesson plan can be found at this site
Use Similar Triangles - Use similar triangles and proportionality to find the lengths of unknown line segments in a triangle.
0706.4.2
  1. 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
  2. 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
  3. Sum of Angles in a Triangle - students can explore this concept by moving the vertices of the triangle with pressed mouse button 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. 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.
Scale Factor - Understand that if a scale factor describes how corresponding lengths in two similar objects are related, then the square of the scale factor describes how corresponding areas are related, and the cube of the scale factor describes how corresponding volumes are related.
0706.4.3
  1. Dilation - the description of a dilation includes the scale factor and the center of the dilation
  2. Understanding Scale Factors - Similar Triangles: Perimeters and Areas - When two triangles are similar, the reduced ratio of any two corresponding sides is called the scale factor of the similar triangles
Similar Shapes - Compare angles, side lengths, perimeters and areas of similar shapes.
0706.4.4
  1. Alien Angles - estimate angles, without a protractor, ranging from 1-180 by dragging a movable 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
  2. Angles in a Triangle - interactive applet with several examples 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. Area Explorer - Students are shown shapes on a grid after setting the perimeter and asked to calculate areas of the shapes. This site is interactive and allows students to play a game or input or collect data
  4. Banana Hunt -This game helps students practice the degrees of an angle 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 This resource includes voice instructions for students
  5. Calculate the Perimeter of the Rectangle - from FunBrain This site is interactive and allows students to play a game or input or collect data
  6. Complementary Angles - Match the angles that are complementary. (a Quia game available in Matching, Flashcards, and Concentration format) This site is interactive and allows students to play a game or input or collect data
  7. Finding the Third Angle of a Triangle - instruction, practice problems and a game This site is interactive and allows students to play a game or input or collect data
  8. Geometric Terms - this Quia quiz contains four activities - matching, flash cards, concentration, and a word search puzzle - which reinforce students vocabulary concerning angles. This site is interactive and allows students to play a game or input or collect data
  9. Introduction to Angles - Basic terms related to the classification of angles (a Quia game available in Matching, Flashcards, Word Search, and Concentration format) This site is interactive and allows students to play a game or input or collect data
  10. Lesson on Perimeter of Polygons - several examples are given before five fill-in-the-blank questions This site includes questions for your students to check their understanding
  11. Measuring Angles - quiz with virtual protractor This site includes questions for your students to check their understanding 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. Measuring Around - find circumferences and perimeters in this five question quiz This site includes questions for your students to check their understanding
  13. Oblique Triangles - from Dave's Short Trig Course
  14. Perimeter Explorer - Students are shown shapes on a grid after setting the area and asked to calculate perimeters of the shapes. This site is interactive and allows students to play a game or input or collect data
  15. Perimeter of a Rectangle - Calculate the perimeter of a rectangle with given dimensions - 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. Perimeter of a Square - Calculate the perimeter of a square with given dimensions - 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. 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
  18. Right Triangle Calculator - choose the known side then click on the calculate button This site is interactive and allows students to play a game or input or collect data
  19. Right Triangles - from Dave's Short Trig Course
  20. Sum of Angles in a Triangle - students can explore this concept by moving the vertices of the triangle with pressed mouse button 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
  21. Triangle Calculator - four different calculators This site is interactive and allows students to play a game or input or collect data
  22. Triangle Calculator - enter values three of the six sides and angles of the triangle and the other three values will be computed This site is interactive and allows students to play a game or input or collect data
  23. Types of angles and pairs of angles - good illustrations
  24. Using Spreadsheets to Find Area and Perimeter - The cells of a spreadsheet are a useful way to represent area and perimeter. A lesson plan can be found at this site
  25. Working with Angles - ten questions which deal with angles, answers are in pull-down boxes
Ratio - Solve problems using ratio quantities: velocity (measured in units such as miles per hour), density (measured in units such as kilograms per liter), pressure (measured in units such as pounds per square foot), and population density (measured in units such as persons per square mile).
0706.4.5
  1. All About Ratios - a five question multiple-choice Quiz This site includes questions for your students to check their understanding
  2. All About Ratios - links to several lessons by Cynthia Lanius A lesson plan can be found at this site
  3. 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.
  4. Comparing Ratios and Rates - a five question multiple-choice quiz This site includes questions for your students to check their understanding
  5. 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
  6. 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
  7. Figure This: Math Challenge for Families - proportional reasoning
  8. Interpreting and Applying Proportions - a five question multiple-choice quiz This site includes questions for your students to check their understanding
  9. Learning ratios and proportions through scale drawings - a text lesson plan A lesson plan can be found at this site
  10. Math for Morons Like Us - a ThinkQuest entry on ratio
  11. 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
  12. Percentages and Proportions - a five question multiple-choice quiz This site includes questions for your students to check their understanding
  13. 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) - 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. Percent with a Calculator - after the lesson there are problems to work This site includes questions for your students to check their understanding
  15. Practice with Ratios - ten question quiz with answers and explanations available in pull-down boxes This site includes questions for your students to check their understanding
  16. Proportion Practice Test - thirteen multiple choice questions, each question is on a separate page This site includes questions for your students to check their understanding
  17. Proportions and Ratios - good explanation of means and extremes from Free Math
  18. Rags to Riches: Ratio and Proportion Quiz - quiz at Quia This site includes questions for your students to check their understanding
  19. Rates, Ratios, and Proportions - a two person quiz from Quia This site includes questions for your students to check their understanding
  20. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
  21. Ratio and Proportion - math review practice exercises This site includes questions for your students to check their understanding
  22. 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.)
  23. Ratio and Proportion - explanation and examples
  24. 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
  25. 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
  26. 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
  27. 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
  28. Ratios - a six page module from Purple Math
  29. Ratios and Proportions - explanation with four sample problems This site includes questions for your students to check their understanding
  30. 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
  31. A PowerPoint show related to this standardRatios and Proportions - an 18 slide PowerPoint show
  32. A PowerPoint show related to this standardRatios and Proportion Review - a 12 slide PowerPoint show
  33. Review of Proportion - examples and practice problems
  34. Review of Ratios - examples and practice problems
  35. Skillwise: Ratio and Proportion - five part module; fact sheet, game, quiz, activity and worksheet
  36. Spy Guys Interactive - Ratio - Lesson 3 A video is available through this link
  37. A resource for the teacher to use in planning their lessonsTeaching Ratios and Proportions - suggestion for teachers and parents
  38. Using Proportions - a five question multiple-choice quiz This site includes questions for your students to check their understanding
State Performance Indicators
6.4.1 | 6.4.2 | 6.4.3
Similar Triangles - Solve contextual problems involving similar triangles.
SPI 0706.4.1
  1. A Mathematical Droodle - Two Triples of Similar Triangles 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. Compass and Straightedge Construction of Similar Triangles - lesson plan from PlanetMath A lesson plan can be found at this site
  3. Math Open Reference: Similar Triangles - interactive triangle lesson 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. Proof Using Similar Triangles - four examples to print and use in your classroom A Microsoft Word document to be downloaded This link includes something for the teacher to print
  5. Proportionality in Similar Triangles: A Cross-Cultural Comparison - a lesson plan from Convergence: a magazine of the Mathematical Association of America A lesson plan can be found at this site
  6. Sam's Similar Shapes - learn about shapes that are different sizes but the same shape. This site is interactive and allows students to play a game or input or collect data
  7. Similar Polygons - from Math for Morons Like Us
  8. A PowerPoint show related to this standardSimilar Triangles - a 23 slide PowerPoint show which includes scaling factors
  9. A PowerPoint show related to this standardSimilar Triangles II - a 14 slide PowerPoint show
  10. Similar Triangles - explanation of the concept
  11. Similar Triangles - includes the AA rule and the RAR rule plus two videos A video is available through this link
  12. Similar Triangles and the Pythagorean theorem - from Dave's Short Trig Course
  13. Similar Triangles Lesson - from Oswego City School District Regents Exam Prep Center
  14. Similarity (geometry) - from Wikipedia
  15. Strategies for Dealing with Similar Triangles - from Oswego City School District Regents Exam Prep Center
  16. Three Similar Triangles - a math droodle 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. Virtual Manipulative - Similar Triangles 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
SSS, SAS, and AA - Use SSS, SAS, and AA to determine if two triangles are similar.
SPI 0706.4.2
  1. Examples of SSS, SAS, and AA - from Yahoo Answers
  2. GeoWeb - Proving Triangles Similar and Congruent A lesson plan can be found at this site
  3. Similar Triangles: SAS, AA, SSS - theorems that prove triangles are similar
Apply Scale Factor - Apply scale factor to solve problems involving area and volume.
SPI 0706.4.3
  1. Area of an Irregular Rectangle - calculate the area of each figure given This site is interactive and allows students to play a game or input or collect data
  2. Areas and Squares - a five question multiple-choice quiz This site includes questions for your students to check their understanding
  3. 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
  4. Calculating Areas - a five question multiple-choice quiz This site includes questions for your students to check their understanding
  5. Calculate the Area of the Rectangle - from FunBrain This site is interactive and allows students to play a game or input or collect data
  6. How Do You Find the Area of a Triangle? - from the Interactive Geometry Dictionary: Areas in Geometry, Area of a Triangle 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. Spy Guys Interactive - Area and Perimeter - Lesson 12 A video is available through this link
  8. Spy Guys Interactive - Relating Area and Perimeter - Lesson 13 A video is available through this link
  9. Spy Guys Interactive - Surface Area of Prisms - Lesson 14 A video is available through this link
  10. Spy Guys Interactive - Volume and Displacement - Lesson 15 A video is available through this link
  11. Using Spreadsheets to Find Area and Perimeter - The cells of a spreadsheet are a useful way to represent area and perimeter. A lesson plan can be found at this site
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

Use this arrow to see Geometry & Data Analysis, Statistics & Probability standards for 6th grade Data Analysis, Statistics, & Probability Use this arrow to see Geometry & Data Analysis, Statistics & Probability standards for 8th grade
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
Box-and-Whisker - Create and interpret box-and-whisker plots and stem-and-leaf plots.
0706.5.1
  1. Box Plot - explanation from the Engineering Statistics Handbook
  2. Box Plot - comparing the average height of singers
  3. Box Plot - interactive, tips for the instructor available This site is interactive and allows students to play a game or input or collect data
  4. Box and Whisker Plots - this explanation includes a remark about outliers
  5. Box and Whisker Plot - use your TI-83+ graphing calculator with box and whisker plots
  6. A resource for the teacher to use in planning their lessonsA lesson designed to introduce students to stem-and-leaf plots - this lesson plan includes a link to a three page worksheet to print A lesson plan can be found at this site
  7. An overview of stem-and-leaf plot - a display that organizes data to show its shape and distribution
  8. An Overview of Mean, Median, and Mode - this lesson plan includes a link to a three page worksheet to print A lesson plan can be found at this site
  9. 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
  10. A resource for the teacher to use in planning their lessonsLong Distance Airplanes - a stem-and-leaf plot lesson from Iluminations (rated 3rd-5th grade, but quite useful) A lesson plan can be found at this site
  11. 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
  12. 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
  13. 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
  14. Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments
  15. 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
  16. Stem-and-Leaf plots - from Purple Math
  17. Worksheet to accompany a "Stem-and-Leaf Plots" Lesson This link includes something for the teacher to print An Adobe Acrobat document in .pdf format
Visual Format - Interpret and solve problems using information presented in various visual forms.
0706.5.2
  1. The Winning Edge: Probability in Basketball - Time has run out in the big basketball game, and the score is tied. However, Up-State College has the ball with time out. You're the coach. Which players should you put into the game to give you the best chance of winning? (students collect data and make prediction based on the data) A lesson plan can be found at this site
Compare Characteristics - Predict and compare the characteristics of two populations based on the analysis of sample data.
0706.5.3
  1. A resource for the teacher to use in planning their lessonsBean Pi - To involve students in a small group exploration of the concept of area for circles, and to involve students in data collection. A lesson plan can be found at this site
  2. 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
  3. Marbles - Students learn about sampling with and without replacement by modeling drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule. This site is interactive and allows students to play a game or input or collect data
  4. Practice with Data - answer five questions about collecting and organizing data This site includes questions for your students to check their understanding
  5. A resource for the teacher to use in planning their lessonsQuantitative Environmental Learning Project - a rich source of data based projects A lesson plan can be found at this site
Proportional Reasoning - Use proportional reasoning to make predictions about results of experiments and simulations.
0706.5.4
  1. 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
Experiment Design - Evaluate the design of an experiment.
0706.5.5
  1. Hand Squeeze - (a data collection and analysis class experiment) - Pass a "hand squeeze" around a circle and measure the amount of time that it takes for the hand squeeze to complete the circle. A lesson plan can be found at this site
  2. Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts This site is interactive and allows students to play a game or input or collect data
  3. 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.
    1. Magic Bullets: Chemistry vs Cancer - worksheet associated with the data sets This link includes something for the teacher to print
  4. Marbles - Students learn about sampling with and without replacement by modeling drawing marbles from a bag. Parameters: Number and color of marbles in the bag, replacement rule. This site is interactive and allows students to play a game or input or collect data
  5. 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
Histograms and Circle Graphs - Apply percentages to make and interpret histograms and circle graphs.
0706.5.6
  1. 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
  2. Circle Grapher - Use this tool to graph data sets in a circle graph. You can input your own data or alter a pre-made data set This site is interactive and allows students to play a game or input or collect data
  3. Graphs and charts - four different graphs and charts for you to consider This site is interactive and allows students to play a game or input or collect data
  4. Interpreting Circle (Pie) Graphs - practice by answering eight questions about the graph This site includes questions for your students to check their understanding
  5. Overview of a Circle Graph by Nicole Carroll followed by a practice quiz This site includes questions for your students to check their understanding
  6. Piece Of Pie - display data using a circle graph. This site is interactive and allows students to play a game or input or collect data
  7. Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent) This site is interactive and allows students to play a game or input or collect data
  8. Sample Histograms and Data - posted by the Quantitative Environmental Learning Project (QELP) - data included
Tree Diagram - Use a tree diagram or organized list to determine all possible outcomes of a simple probability experiment.
0706.5.7
  1. A PowerPoint show related to this standardCounting Outcomes: Using a Tree Diagram - a thirteen slide show using the format of an Interactive Chalkboard from Glencoe Math This interactive site would work well on an interactive whiteboard
  2. Heads Up Probability - use tree diagrams as models for predicting outcomes and the likelihood of events using coins. This site is interactive and allows students to play a game or input or collect data
  3. Leap Frog - design an experiment to answer a question, collect information, and interpret the results using charts. This site is interactive and allows students to play a game or input or collect data
  4. Me Too Probability - use a tree diagram to display possible outcomes of who will come to the party. This site is interactive and allows students to play a game or input or collect data
  5. On Stage Probability - use tree diagrams to display the possible outcomes of casting a play. This site is interactive and allows students to play a game or input or collect data
  6. 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
  7. Who Will Probably? - use problem-solving steps and a tree diagram to display possible outcomes and make predictions. This site is interactive and allows students to play a game or input or collect data
State Performance Indicators
6.5.1 | 6.5.2 | 6.5.3 | 6.5.4
Graphs and Charts - Interpret and employ various graphs and charts to represent data.
SPI 0706.5.1
  1. Graphs and charts - four different graphs and charts for you to consider This site is interactive and allows students to play a game or input or collect data
  2. Graphing Jeopardy Game - Review graphing terms and information this fun way.This site is interactive and allows students to play a game or input or collect data
  3. 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
  4. Interactive Graphs - large number of interactive graphs related to social studies topics This site is interactive and allows students to play a game or input or collect data
  5. Interpreting Column Graphs - students practice by answering ten questions about the graph This site includes questions for your students to check their understanding
  6. Interpreting Data - a five-question multiple-choice quiz This site includes questions for your students to check their understanding
  7. Interpreting Line Graphs - explore line graphs. This site is interactive and allows students to play a game or input or collect data
  8. Push Ups - collect data to put on a line graph. This site is interactive and allows students to play a game or input or collect data
  9. Rate of Change: Connecting Slope to Real Life - a lesson on using slope to find the rate of change accompanied by graphs and explanations
  10. Rate of Change Practice Problems - nine practice problems (including a graph to interpret) followed by an answer key
  11. Using the X and Y Intercept to Graph Linear Equations - This follow up to the lesson on slope and rate of change deals with linear equations written in standard form rather than slope intercept form
  12. 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
  13. Using Data and Statistics - good graphs, however they are not interactive
  14. Using Graphs to Understand Data - a five-question multiple-choice quiz This site includes questions for your students to check their understanding
Appropriate Graph Type - Select suitable graph types (such as bar graphs, histograms, line graphs, circle graphs, box-and-whisker plots, and stem-and-leaf plots) and use them to create accurate representations of given data.
SPI 0706.5.2
  1. Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values
  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)
  3. Collecting and Analyzing Data - a five-question multiple-choice quiz This site includes questions for your students to check their understanding
  4. Comparative Bar Graphs - read the graph and answer questions This site includes questions for your students to check their understanding
  5. Data Interpretation Games - Numerous activities on using and interpreting data - Activities include bar, pie and line graphs, data collecting and much more
  6. Data Picking - students collect data, enter tally marks or numbers and then select which graph is appropriate
  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. Interpreting Circle (Pie) Graphs - students practice by answering eight questions about the graph
  9. Interpreting Data - a five-question multiple-choice quiz This site includes questions for your students to check their understanding
  10. Overview of a Stem-and-leaf plot by Nicole Carroll followed by a practice quiz
  11. Overview of a Bar Graph by Nicole Carroll followed by a practice quiz This site includes questions for your students to check their understanding
  12. Overview of a Circle Graph by Nicole Carroll followed by a practice quiz
  13. Pie Chart - Students view pie charts (parameters: number of sectors, size of sector as a percent)
  14. Overview of a Line Graph by Nicole Carroll followed by a practice quiz This site includes questions for your students to check their understanding
  15. Piece Of Pie - display data using a circle graph This site is interactive and allows students to play a game or input or collect data
  16. Push Ups - collect data to put on a line graph This site is interactive and allows students to play a game or input or collect data
  17. Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10 A video is available through this link
  18. Using Graphs to Understand Data - a five-question multiple-choice quiz This site includes questions for your students to check their understanding
Mean, Median, and Range - Calculate and interpret the mean, median, upper-quartile, lower-quartile, and interquartile range of a set of data.
SPI 0706.5.3
  1. All That Data - use range, mean, median, and mode This site is interactive and allows students to play a game or input or collect data
  2. All That Data Two - describe graphs in terms of range, measures of central tendency, and distribution This site is interactive and allows students to play a game or input or collect data
  3. Basketball Debate - explore the meaning of average (or mean) and relate these concepts to real world experiences This site is interactive and allows students to play a game or input or collect data
  4. Bicycles Ala Mode - understand and apply the concepts of mean, median and mode. This site is interactive and allows students to play a game or input or collect data
  5. Comparing Properties of the Mean and the Median through the use of Technology - an E-example from NCTM A lesson plan can be found at this site
  6. 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. A lesson plan can be found at this site
  7. Jupiter Is Average - Using data from our solar system, students explore median, mode, mean, and range. Students learn to use an on-line calculator to determine the mean and range. This site is interactive and allows students to play a game or input or collect data
  8. Mean Green Machine - use a calculator to find and use the average, or mean, of a set of data (designed for 5th grade) This site is interactive and allows students to play a game or input or collect data
  9. Mean, Median, and Mode - lesson plan from Introduction to Statistics which includes a link to a three page handout
  10. 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
  11. Mean, Median, Mode, and Range - data sets and explanations followed by five practice exercises, each with several questions This site includes questions for your students to check their understanding
  12. Mean, Median, Mode, and Range - explanation from Purple Math
  13. Medians - understand and apply the concepts of median and mean. This site is interactive and allows students to play a game or input or collect data
  14. Mode, Mean, Median - calculate mode, median and mode of a set of buildings, then repeat the activity with a different set - (metric measurements) This site is interactive and allows students to play a game or input or collect data
    1. Quiz following the Mode, Mean, Median activity - ten multiple-choice questions, immediate feedback given This site includes questions for your students to check their understanding
  15. An Overview of Mean, Median, and Mode - in the format of a discussion between student and mentor
  16. Party Comedian - find and use the median of a set of data. This site is interactive and allows students to play a game or input or collect data
  17. Party Mode - find and use the mode of a set of data. This site is interactive and allows students to play a game or input or collect data
  18. Practice Exercises - ten fill-in-the-blank questions about mean, median, mode, and range This site includes questions for your students to check their understanding
Probability - Use theoretical probability to make predictions.
SPI 0706.5.4
  1. Adjustable Spinner - [from Shodor] Students can create a game spinner with variable sized sectors to look at experimental and theoretical probabilities. Parameters: Sizes of sectors, number of sectors, number of trials.
  2. Adjustable Spinner - [from Illuminations] Change the number of sectors and increase or decrease their size to create any type of spinner. Then, conduct a probability experiment by spinning the spinner many times.
  3. Analyzing game probabilities - a five-question multiple-choice quiz This site includes questions for your students to check their understanding
  4. Me Too Probability - use a tree diagram to display possible outcomes of who will come to the party This site is interactive and allows students to play a game or input or collect data
  5. On Stage Probability - use tree diagrams to display the possible outcomes of casting a play This site is interactive and allows students to play a game or input or collect data
  6. Probability Spinner - Math Goodies presents an interactive spinner, data from several experiments and five multiple-choice questions 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
  7. Probability Spinner - use this Math Playground spinner to investigate probability
  8. Probability - a five-question multiple-choice quiz This site includes questions for your students to check their understanding
  9. Spinner - Students can create a game spinner with one to twelve sectors to look at experimental and theoretical probabilities. Parameters: Number of sectors, number of trials.
  10. Spy Guys Interactive - Probability - Lesson 19 A video is available through this link
  11. Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials. This site is interactive and allows students to play a game or input or collect data
  12. 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.
  13. 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.
  14. Who Will Probably? - use problem-solving steps and a tree diagram to display possible outcomes and make predictions This site is interactive and allows students to play a game or input or collect data
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
Released Test & Others
  1. Seventh 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
  2. 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
  3. 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
  4. Texas end-of-year Math test 2003 This site includes questions for your students to check their understanding
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. An Adobe Acrobat document in .pdf format This link includes something for the teacher to print
Various Review Aids
  1. ACT Math Question of the Day - Use the calendar to select one of the following topics: Algebra, Intermediate Algebra, Plane Geometry, Coordinate Geometry, and Trigonometry. Once the problem is on the screen, right click the problem for a step by step explanation.
  2. A PowerPoint show related to this standardGeometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
  3. Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
  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
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