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7th grade TN Math Standards  - 2009-2010 Implementation
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(addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)

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Mathematical Processes

Tennessee Mathematics Standards
2009-2010 Implementation

Internet Resources
Checks for Understanding (Formative/Summative Assessment)
6.1.1 | 6.1.2 | 6.1.3 | 6.1.4 | 6.1.5 | 6.1.6 | 6.1.7 | 6.1.8 | 6.1.9 | 6.1.10 | 6.1.11 | 6.1.12

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
  3. Common Math Symbols and Abbreviations - a six page document This is an Adobe Acrobat document
  4. Some Common Mathematical Symbols and Abbreviations (with History) - a four page document which includes latin terms This is an Adobe Acrobat document
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 &
  2. Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz &
  3. Round About - [this link opens in a new window] estimate by rounding. (Author - Sandi King)
  4. Rounding Off - Three levels are available in this game from BBC Education
  5. Spy Guys Interactive - Rounding Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 9
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.
  3. Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
  4. Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz &
  5. Estimation Strategies - several strategies are discussed
  6. Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)
  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 is an Adobe Acrobat document
  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.
  11. Pinocchio estimation game - suggested game for developing the skill of estimation
  12. Scaling the Universe to Your Desktop - estimating size
  13. 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.
  14. Word problems - online quiz adding and subtracting fractions
  15. Your Body as a Ruler - a user's manual
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. Inverse Proportion - this 18 slide show has several examples
  5. Inverse Proportion Problems - from Annenberg's Learning Math series
  6. Math Word Problems [Variation or Inverse Proportion] - eight question multiple choice quiz
  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]
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. Direct Proportion - this 18 slide PowerPoint show has several examples
  5. Direct 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
  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
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
  3. The Meaning of Slope and y-Intercept in the Context of Word Problems - explanation from Purple Math
  4. Writing Equation of a Line - [short opening promo included] video lesson from YourTeacher.com
Explain and demonstrate how scale in maps and drawings shows relative size and distance.
0706.1.7
  1. How to read a map - Several activities are presented to assist in teaching the concepts of reading maps.
  2. Index of topics and quizzes offered by David J. Leveson at CUNY in Brooklyn, NY
  3. Latitude and Longitude quiz - online quiz that checks answers
  4. Map Reading Activities - practice reading maps using compasses, latitude, longitude and more
  5. Mathematics of Cartography - several map activity from Cynthia Lanius
  6. National Atlas of the United States [this link opens in a new window]
  7. Reading Map Symbols - identify symbols with words
  8. What’s On a Map? - eight questions about using various parts of a map
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, scale factors, and conversion factors to make scale drawings of different Malawian houses This is an Adobe Acrobat document
  2. Designing a Soccer Field - lesson plan using scale drawings
  3. Designing a Tennis Court - lesson plan using scale drawings
  4. 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
  5. I Can Solve Problems Using Scale Drawings! - an 18 slide PowerPoint show
  6. Pictures to use in scale factor activities - Yankee Stadium - Orange Bowl Stadium
  7. Scale Drawings - explanation and two practice problems
  8. Scale Drawings and Scale Models - a 17 slide PowerPoint show could be used as a lesson
  9. Teaching 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.
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 in math or numbers in the search box.
  3. Flatland: A romance of many dimensions - fifty-five pages if printed
  4. Literature for Learning Math Concepts - using books to teach math
  5. Note of Caution: the books below are not available to read online, they are given as a reading list only
    1. Fiction about Math - a 3 page reading list in MS Word format
    2. Math Month in the Library - article about books to consider
    3. Math Novels - use this list of novels as a reading list rather than a shopping list
    4. Math and Science Related Books - a reading list from Math Forum
    5. Mathematical Fiction - large database of titles
    6. Mathematics fiction books - Wikipedia index to articles about 19 books
    7. Mathematics in Fiction - a reading list of novels in which mathematics play a large role
Model algebraic equations with manipulatives, technology, and pencil and paper.
0706.1.10
  1. Activities at Illuminations - Illuminations has 100 online activities available. Select which types of activities you’re looking for, and click Search.
  2. Base 10 Blocks - virtual manipulative
  3. Colored Chip Models - use manipulatives to model addition, subtraction, multiplication, and division with positive and negative integers [includes two practice problems]
  4. Electronic Examples - index of manipulatives from NCTM
  5. GeoBoard - this two-part example describes activities that use interactive geoboards
  6. Integer Bars - learning fractions and more with on-line manipulatives
  7. Math Playground - a small but growing collection of manipulatives for teaching and learning
  8. National Library of Virtual Manipulatives - sixteen Algebra manipulatives for grades 6-8 [More topics and grade levels available at the NLVM home page]
  9. Pattern Blocks Program - use tools to solve a variety of problems
  10. Tangrams - interactive geometric site
  11. Virtual Manipulatives - a list of various manipulatives for grades 1-6
  12. Wolfram Demonstrations Project - a free resource of interactive visualizations from elementary education to the frontiers of research
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 &
  3. Converting Standard Numbers to Scientific Notation - instruction and review, practice, and a quiz &
  4. Converting from Scientific Notation to Standard Numbers - instruction and review, practice, and a quiz &
  5. Comparing Scientific and Standard Notation Numbers - instruction and review, practice, and a quiz &
  6. Converting Decimal Numbers to Scientific Notation - instruction and review, practice, and a quiz &
  7. Converting from Scientific Notation to Decimal Numbers - instruction and review, practice, and a quiz &
  8. Converting Fractions to Scientific Notation - instruction and review, practice, and a quiz &
  9. Cube of a Number - AAA Math lesson and practice problems &
  10. Division Using Scientific Notation - - two examples and seven practice problems
  11. Evaluating Exponents of Negative Numbers - AAA Math lesson and practice problems &
  12. Exponential Expressions - find the exponential expression that is equivalent to the number given
  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.
  14. Exponents - Unit 3 from Ms. Glosser's Math Goodies
  15. Interactive Algebra Review on Integer Exponents
  16. Multiplication and Division Problems Using Scientific Notation - two examples and seven practice problems
  17. Multiplication in Scientific Notation - four examples and seven practice problems
  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
  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".
  23. Scientific Notation Quiz - ten multiple choice questions
  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.
  25. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol
  26. What Is Scientific Notation And How Is It Used? - explanation and several practice problems, answers given on another page
Use dynamic geometry software to explore scale factor and similarity.
0706.1.12
 
State Performance Indicators
6.1.1 | 6.1.2 | 6.1.3 | 6.1.4

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

 

 


  1. All About Ratios - a Quiz
  2. All About Ratios - links to several lessons by Cynthia Lanius
  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 - online quiz
  5. Determine the number based on the ratio - instruction and review, practice, and a quiz &
  6. Determining the Ratio - instruction and review, practice, and a quiz &
  7. Figure This: Math Challenge for Families - proportional reasoning
  8. The Importance of Ratios and Proportions - this comes under the heading of a perfect answer to "Why do I have to learn this?" - how a stock market trader benefits from ratio and proportion
  9. Interpreting and Applying Proportions - online quiz
  10. Learning ratios and proportions through scale drawings - a text lesson plan
  11. Math for Morons Like Us - a ThinkQuest entry on ratio
  12. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems
    1. You Tube video of the same lesson - Instructor: Ms. Jenkins
  13. Percentages and Proportions - online quiz
  14. 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 &
  15. Percent with a Calculator - after the lesson there are problems to work
  16. Practice with Ratios - online quiz
  17. Proportion Practice Test - thirteen multiple choice questions
  18. Proportions and Ratios - good explanation of means and extremes from Free Math
  19. Rags to Riches: Ratio and Proportion Quiz - [this link opens on a new page] quiz at Quia
  20. Rates, Ratios, and Proportions - [this link opens on a new page] a two person quiz from Quia
  21. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
  22. Ratio & Proportion - math review practice exercises
  23. Ratio & Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.)
  24. Ratio and Proportion - explanation and examples
  25. Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems
  26. Ratio and Proportion Quiz - play this game to practice writing ratios
  27. 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?
  28. 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.
  29. Ratios - a six page module from Purple Math
  30. Ratios and Proportions - explanation with four sample problems
  31. Ratios and Proportions - an interactive lesson in a slide show format
  32. Ratios and Proportions - an 18 slide PowerPoint show
  33. Ratios and Proportion Review - a 12 slide PowerPoint show
  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 - Click Skip Intro, then select Lessons, and then click on Lesson 3
  38. Teaching Ratios and Proportions - suggestion for teachers and parents
  39. Using Proportions - online quiz
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
  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
    1. Instructions on how to use this page in your classroom
  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.
  5. Number Cracker - [this link opens on a new page] guess what number comes next in the pattern
  6. Patterns in Geometry - online quiz
  7. Patterns - Figure out the patterns, if you can!
  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
  9. Writing Rules for Patterns - online quiz
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
 
Use scales to read maps.
SPI 0706.1.4
 
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Number & Operations
Checks for Understanding (Formative/Summative Assessment)
6.2.1 | 6.2.2 | 6.2.3 | 6.2.4 | 6.2.5 | 6.2.6 | 6.2.7 | 6.2.8 | 6.2.9 | 6.2.10 | 6.2.11 | 6.2.12 | 6.2.13 | 6.2.14 | 6.2.15

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

 
Develop and analyze algorithms and compute efficiently with integers and rational numbers.
0706.2.2
 
Recognize that rational numbers satisfy the commutative and associative laws of addition and multiplication and the distributive law.
0706.2.3
  1. Area Model of the Distributive Property - a TeacherTube video [2:18]
  2. Area Models for Multiplication and Division - an Annenberg lesson plan from their Learning Math series
  3. Basic Number Properties: Associative, Commutative, and Distributive - explanation from Purple Math
  4. Commutative Property - addition and multiplication properties are explained using an animated image
  5. Commutative Property - explanation and examples
  6. Commutative & Associative Properties - this PowerPoint show includes a ten question quiz with answers
  7. Commutativity - the ability to change the order of something without changing the end result [Wikipedia]
  8. Distributive Property - uses animated images to help explain the property
  9. Distributive Property - short animation that loops
  10. Distributive Property - five slide PowerPoint show which uses animation very effectively
  11. Number Properties - from Online Math Learning
  12. Use the distributive property to simplify numerical and variable expressions - an eleven slide PowerPoint show which use animation effectively to teach the concept
  13. Which Property - quiz in the form of a PowerPoint show
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
 
Understand that –(–a) = a for any number a.
0706.2.5
 
Use the number line to demonstrate addition and subtraction with integers.
0706.2.6
 
Write number sentences to solve contextual problems involving ratio and percent.
0706.2.7
  1. Calculate percent - Discover relationships between fractions, percents, and decimals
  2. Equivalent Fractions and Decimals - decide which answer will balance the scale
  3. Finding a percent of a quantity - online quiz
  4. Fractions, Decimals or Percent - two are given, you supply the third
  5. Percents and Wholes - online quiz
  6. Percent Game - [this link opens in a new window] FunBrain site [these are difficult]
  7. Practice Solving Percent Problems - more percent practice
  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 [this link opens in a new window]
  10. Ratio and Proportions: Similar Figures - a four part lesson including problems to work
  11. Shopping at Troy's Toys - percent shopping
  12. Solving Percent Problems Using a Pyramid Grid - [this link opens in a new window] an interactive lesson
  13. Spy Guys Interactive - Solving Problems with Decimals - Click Skip Intro, then select Lessons, and then click on Lesson 5
  14. Spy Guys Interactive - Improper Fractions & Mixed Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 2
  15. Spy Guys Interactive - Percent - Click Skip Intro, then select Lessons, and then click on Lesson 4
  16. Using percents - online quiz
  17. Using the Proportion Method to Solve Percent Problems - practice problems at the end
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
    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)
Efficiently compare and order rational numbers and roots of perfect squares/cubes; determine their approximate locations on a number line.
0706.2.9
 
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
 
Estimate square/cube roots and use calculators to find approximations.
0706.2.11
 
Recognize
0706.2.12
 
Use the meaning of negative exponents to represent small numbers; translate between scientific and standard notation.
0706.2.13
 
Express numbers in scientific notation and recognize its importance in representing the magnitude of a number.
0706.2.14
 
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.
  2. Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
  3. Estimating by Rounding - Addition with regrouping - instruction and review, practice, and a quiz &
  4. Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz &
  5. Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz &
  6. Estimation Strategies - several strategies are discussed
  7. Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)
  8. Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
  9. How Big are Things - a printable cube to be used in making size estimations [several versions] This is an Adobe Acrobat document
  10. How to Simplify a Number - part of being approximate is simplifying numbers
  11. 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.
  12. Pinocchio estimation game - suggested game for developing the skill of estimation
  13. Round About - [this link opens in a new window] estimate by rounding. (Author - Sandi King)
  14. Rounding Off - Three levels are available in this game from BBC Education
  15. Scaling the Universe to Your Desktop - estimating size
  16. Spy Guys Interactive - Rounding Numbers - Click Skip Intro, then select Lessons, and then click on Lesson 9
  17. 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.
  18. Word problems - online quiz adding and subtracting fractions
  19. 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 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
Compare rational numbers using appropriate inequality symbols.
SPI 0706.2.2
  1. Comparing Seven Digit Numbers - practice area followed by an interactive game
  2. Rational and Irrational number review
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
Determine the approximate location of square/cube roots on a number line.
SPI 0706.2.4
 
Solve contextual problems that involve operations with integers.
SPI 0706.2.5
 
Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
SPI 0706.2.6
 
Use ratios and proportions to solve problems.
SPI 0706.2.7
 
National Library of Virtual Manipulatives
  1. Number & Operations [Grades 6 - 8]

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Algebra
Checks for Understanding (Formative/Summative Assessment)
6.3.1 | 6.3.2 | 6.3.3 | 6.3.4 | 6.3.5 | 6.3.6 | 6.3.7 | 6.3.8 | 6.3.9 | 6.3.10 | 6.3.11 | 6.3.12 | 6.3.13 | 6.3.14
Perform basic operations on linear expressions (including grouping, order of operations,exponents, simplifying and expanding).
0706.3.1
 
Represent and analyze mathematical situations using algebraic symbols.
0706.3.2
  1. Algebra - Fun with Calendars
  2. Basic Algebra - Lesson 5 - Expressions from Sentences
  3. Disaster Math - Six sets of interactive word problems: Earthquake Math, Hurricane Math, Tornado Math, Wild Fire Math, Winter Storm Math, and Flood Math.
  4. Let's Do Lunch - [this link opens on a new page] Students use a menu to order lunches that meet various criteria. (Author - Sandi King)
  5. Million Dollar Mission - a mathematics fantasy
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)
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
 
Plot points to represent tables of linear function values.
0706.3.5
 
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 - [all 4 quadrants are used] Use the keyboard to enter the x and y values of an ordered pair to help the fly catch a bug. No score is kept, each question is essentially a one question game.
  2. Coordinate Geometry - introduction, explanation, examples and practice problems
  3. Coordinate Plane Practice - students type ordered pairs in the blocks on this interactive PowerPoint show
  4. Create a Haunted House...if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math. Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems
  5. General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.
  6. Graphing Applet - interactive site which identifies the ordered pairs of points students click on - Advanced version of the same applet
  7. Graphing Equations and Inequalities Unit Quiz
  8. Graphing Ordered Pairs - explanation and interactive practice
  9. Greg's Grid Graphs - [this link opens on a new page] help Greg and his family plan their visit to the museum
  10. Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines.
  11. Ordered Simple Plot - interactive coordinate plane from Shodor
  12. Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations.
  13. Rectangular Coordinate System - algebra tutorial
  14. 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.
  15. 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.
  16. 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.
  17. Spy Guys Interactive - Using Ordered Pairs - Click Skip Intro, then select Lessons, and then click on Lesson 18
  18. Stock the Shelves - [this link opens on a new page] You are the clerk. Stock the shelves using a special coordinate plane.
  19. What's the Point? - [this link opens on a new page] a coordinate plane game from Funbrain.com (use the hardest level)
  20. Worksheet Generator - Print your own blank coordinate plane worksheets, you determine the number of grids on a sheet and whether the grids are numbered or not.
Distinguish proportional relationships (y/x = k, or y = kx) from other relationships, including inverse proportionality (xy = k, or y = k/x).
0706.3.7
 
Understand slope as the ratio of vertical change to horizontal change.
0706.3.8
 
Identify a function exhibiting a constant rate of change as a linear function and identify
the slope as a unit rate.
0706.3.9
 
Solve problems involving unit rates (e.g., miles per hour, words per minute).
0706.3.10
 
Relate the features of a linear equation to a table and/or graph of the equation.
0706.3.11
 
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
 
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
 
Understand that when solving linear inequalities, multiplication or division by a negative reverses the inequality symbol.
0706.3.14
 
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

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

 
Determine whether a relation (represented in various ways) is a function.
SPI 0706.3.2
 
Given a table of inputs x and outputs f(x), identify the function rule and continue the
pattern.
SPI 0706.3.3
 
Interpret the slope of a line as a unit rate given the graph of a proportional relationship.
SPI 0706.3.4
 
Represent proportional relationships with equations, tables and graphs.
SPI 0706.3.5
 
Solve linear equations with rational coefficients symbolically or graphically.
SPI 0706.3.6
 
Translate between verbal and symbolic representations of real-world phenomena
involving linear equations.
SPI 0706.3.7
 
Solve contextual problems involving two-step linear equations.
SPI 0706.3.8
 
Solve linear inequalities in one variable with rational coefficients symbolically or
graphically.
SPI 0706.3.9
 
National Library of Virtual Manipulatives
  1. Algebra [Grades 6 - 8]

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Geometry & Measurement
6.4.1 | 6.4.2 | 6.4.3 | 6.4.4 | 6.4.5
Checks for Understanding (Formative/Summative Assessment)
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

 

 

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
  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
  3. Sum of Angles in a Triangle - students can explore this concept by moving the vertices of the triangle with pressed mouse button
  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.
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
 
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
  2. Angles in a Triangle - interactive applet with several examples
  3. Area Explorer - Students are shown shapes on a grid after setting the perimeter and asked to calculate areas of the shapes.
  4. Banana Hunt -This game helps students practice the degrees of an angle
  5. Calculate the Perimeter of the Rectangle - [this link opens on a new page] from FunBrain
  6. Complementary Angles - [this link opens on a new page] Match the angles that are complementary. (a Quia game available in Matching, Flashcards, and Concentration format)
  7. Finding the Third Angle of a Triangle - instruction, practice problems and a game
  8. Geometric Terms - [this link opens on a new page] this Quia quiz contains four activities - matching, flash cards, concentration, and a word search puzzle - which reinforce students vocabulary concerning angles.
  9. Introduction to Angles - [this link opens on a new page] Basic terms related to the classification of angles (a Quia game available in Matching, Flashcards, Word Search, and Concentration format)
  10. Lesson on Perimeter of Polygons
  11. Measuring Angles - online quiz with virtual protractor
  12. Measuring Around - find circumferences, online quiz
  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.
  15. Perimeter of a Rectangle - Calculate the perimeter of a rectangle with given dimensions - instruction and review, practice, and a quiz &
  16. Perimeter of a Square - Calculate the perimeter of a square with given dimensions - instruction and review, practice, and a quiz &
  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
  18. Right Triangle Calculator - choose the known side then click on the calculate button
  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
  21. Triangle Calculator - four different calculators
  22. Triangle Calculator - enter values three of the six sides and angles of the triangle and the other three values will be computed
  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.
  25. Working with Angles - Answer the questions which deal with angles
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 Quiz
  2. All About Ratios - links to several lessons by Cynthia Lanius
  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 - online quiz
  5. Determine the number based on the ratio - instruction and review, practice, and a quiz &
  6. Determining the Ratio - instruction and review, practice, and a quiz &
  7. Figure This: Math Challenge for Families - proportional reasoning
  8. The Importance of Ratios and Proportions - this comes under the heading of a perfect answer to "Why do I have to learn this?" - how a stock market trader benefits from ratio and proportion
  9. Interpreting and Applying Proportions - online quiz
  10. Learning ratios and proportions through scale drawings - a text lesson plan
  11. Math for Morons Like Us - a ThinkQuest entry on ratio
  12. Nutshell Math: Ratios and Proportion - video lesson with examples and sample problems
    1. You Tube video of the same lesson - Instructor: Ms. Jenkins
  13. Percentages and Proportions - online quiz
  14. 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 &
  15. Percent with a Calculator - after the lesson there are problems to work
  16. Practice with Ratios - online quiz
  17. Proportion Practice Test - thirteen multiple choice questions
  18. Proportions and Ratios - good explanation of means and extremes from Free Math
  19. Rags to Riches: Ratio and Proportion Quiz - [this link opens on a new page] quiz at Quia
  20. Rates, Ratios, and Proportions - [this link opens on a new page] a two person quiz from Quia
  21. Ratio/Proportion Problems from Ask Dr. Math - three pages of links to real-world problems
  22. Ratio & Proportion - math review practice exercises
  23. Ratio & Proportion - A proportion is a name we give to a statement that two ratios are equal. (This is a 3 step lesson followed by a workout.)
  24. Ratio and Proportion - explanation and examples
  25. Ratio and Proportion - introduction, in depth explanation, examples and a workout of ten problems
  26. Ratio and Proportion Quiz - play this game to practice writing ratios
  27. 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?
  28. 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.
  29. Ratios - a six page module from Purple Math
  30. Ratios and Proportions - explanation with four sample problems
  31. Ratios and Proportions - an interactive lesson in a slide show format
  32. Ratios and Proportions - an 18 slide PowerPoint show
  33. Ratios and Proportion Review - a 12 slide PowerPoint show
  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 - Click Skip Intro, then select Lessons, and then click on Lesson 3
  38. Teaching Ratios and Proportions - suggestion for teachers and parents
  39. Using Proportions - online quiz
State Performance Indicators
6.4.1 | 6.4.2 | 6.4.3
Solve contextual problems involving similar triangles.
SPI 0706.4.1
  1. A Mathematical Droodle - Two Triples of Similar Triangles
  2. Compass and Straightedge Construction of Similar Triangles - lesson plan from PlanetMath
  3. Math Open Reference: Similar Triangles - interactive triangle lesson
  4. Proof Using Simiar Triangles - four examples to print and use in your classroom
  5. Proportionality in Similar Triangles: A Cross-Cultural Comparison - a lesson plan from Convergence: a magazine of the Mathematical Association of America
  6. Sam's Similar Shapes - [this link opens on a new page] learn about shapes that are different sizes but the same shape. (Author - Paulette Boggs)
  7. Similar Polygons - from Math for Morons Like Us
  8. Similar Triangles - a 23 slide PowerPoint show which includes scaling factors
  9. Similar Triangles II - a 14 slide PowerPoint show
  10. Similar Triangles - explanation of the concept
  11. Similar Triangles - a You Tube video from Mr. Vann