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7th Grade Mathematics Skills
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Number & Operations | Algebra | Geometry | Measurement | Data Analysis | Review Help
Page last edited 2/27/2009
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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 a site for teachers | A PowerPoint show related to this standard a PowerPoint show | An Adobe Acrobat document in .pdf format Adobe Acrobat document | A Microsoft Word document to be downloaded a Word document
This resource includes voice instructions for students sound | A video is available through this link video format
| Interactive 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
Number and Operations
7.1.1 | 7.1.2 | 7.1.3 | 7.1.4 | 7.1.5 | 7.1.6 | 7.1.7 | 7.1.8 | 7.1.9 | 7.1.10 | 7.1.11 | 7.1.12
SPI's & Reporting Categories
(based on Tennessee Curriculum Standards)
Internet Resources
Identify prime and composite numbers up to 50.
7.1.1
N
  1. Composite and Prime numbers instruction and review, practice, and a quiz Interactive &
  2. Number Cop - select Primes, click on Start then use the left and right arrows to move the police car to intercept only prime numbers Interactive
  3. Prime Numbers - Prime Number Sieve: "Remove all proper multiples of the next remaining number." Start with the number 2.When all proper multiples of all numbers in the first row are deleted, the table will contain only primes. Interactive
Compute efficiently and accurately with whole numbers, fractions, and decimals.
7.1.2
N
  1. Math Baseball - [this link opens on a new page] Complete the Number Sentence. - All Operations - Numbers less than 10,000 Interactive
  2. Math Baseball - [this link opens on a new page] Complete the Number Sentence. - Division - Numbers less than 10,000 Interactive
  3. Math Baseball - [this link opens on a new page] Complete the Number Sentence. - Multiplication - Numbers less than 10,000 Interactive
  4. Math Facts -Timed math facts, or select practice mode without the timer Interactive
  5. Math Mayhem - A fast paced program where you can select addition problems. Most are two digit problems.(Warning: turn sound to mute - this activity gets very loud!) Interactive
  6. Math Mastery - Select subtraction and practice your facts! Interactive
  7. Mental Math - Select an operation to practice your skills Interactive
  8. What number would complete this sentence? - what number would complete the equation? - instruction and review, practice, and a quiz Interactive &
  9. Word problems - adding and subtracting fractions
  10. Fractions
    1. Converting Fractions, Decimals, and Percents - [this link opens on a new page] from Fact Monster
    2. Divide fractions - (using circles) this will show graphically how the divisor will fit into the dividend a whole number of times Interactive
    3. Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations. Interactive
    4. Equivalent Fractions - find the fraction that is equivalent to the fraction given Interactive
    5. EZ Fractions - Add, Subtract, Multiply and Divide fractions - Help tools are on the site to give students every tool necessary for performing operations with fractions as easy as it has ever been! Interactive
    6. Fraction Practice - [this link opens on a new page] All operations, mixed practice - (explanations given for wrong answers) Interactive
    7. Fraction Decimal Conversion - [this link opens on a new page] a Quia matching quiz
    8. Fraction Decimal Conversion - [this link opens on a new page] another Quia matching quiz
    9. Fraction Decimal Conversion - [this link opens on a new page] a Quia concentration style quiz
    10. Fractional Distances - find Grampy by entering a fractional distance - (includes mixed numbers and various fractions) Interactive
    11. Fractions Converted to Percent and Decimals - an eleven question quiz from McGraw Hill Ryerson.
    12. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall Interactive
    13. Multiplying and Dividing Fractions - online quiz
    14. Practice Converting Percent to Fractions - instruction and review, practice, and a quiz Interactive &
    15. Rename Fractions in Lowest Terms - practice in renaming fractions Interactive
    16. Unstated Information in Fraction Problems - use the information provided to find the unstated information Interactive
    17. Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions
  11. Decimals
    1. Adding with decimals - Addition of numbers with three decimal digits
    2. Addition with Two decimals - check mark appears if answer is correct
    3. Comparing fractions and decimals - interactive game Interactive
    4. Complete the number sentence - [this link opens on a new page] All operations with decimals
    5. Decimal addition - Push the green blocks into the holes to make the target number. Interactive
    6. Dividing Decimals - [this link opens on a new page] Complete the number sentence
    7. Division of Decimals - [this link opens on a new page] Divide with 2 decimals
    8. Division of Decimals - [this link opens on a new page] Divide with 3 decimals
    9. Multiplying and Dividing with Decimals - online quiz
    10. Multiplying with decimals - [this link opens on a new page] Multiplying numbers with two decimals
    11. Rounding off - round numbers to significant decimal places Interactive
    12. Spy Guys Interactive - Decimals - Lesson 1
    13. Subtracting with decimals - Subtraction with one decimal digit
    14. Subtracting with decimals - Subtraction with three decimal digits
Represent numbers using a variety of equivalent forms (i.e., mixed numbers, fractions, decimals, percents, and integers).
7.1.3
N
  1. Decimals
    1. Fractions, Decimals or Percent - two are given, you supply the third
    2. Spy Guys Interactive - Decimals - Lesson 1
    3. Spy Guys Interactive - Solving Problems with Decimals - Lesson 5
  2. Integers
    1. Algebra Puzzle - Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column. That makes the puzzle easier to solve. Other times, you will have to look for relationships among the objects. Interactive
    2. Spy Guys Interactive - Understanding Integers - Lesson 6
  3. Mixed Numbers
    1. Spy Guys Interactive - Improper Fractions & Mixed Numbers - Lesson 2
  4. Percent
    1. Calculate percent - Discover relationships between fractions, percents, and decimals Interactive
    2. Finding a percent of a quantity - online quiz
    3. Percents and Wholes - online quiz
    4. Percent Game - [this link opens on a new page] FunBrain site Interactive
    5. Shopping at Troy's Toys - percent shopping Interactive
    6. Spy Guys Interactive - Percent - Lesson 4
    7. Using percents - online quiz
  5. Scientific Notation
    1. Converting Standard Numbers to Scientific Notation - instruction and review, practice, and a quiz Interactive &
    2. Converting from Scientific Notation to Standard Numbers - instruction and review, practice, and a quiz Interactive &
    3. Comparing Scientific and Standard Notation Numbers - instruction and review, practice, and a quiz Interactive &
    4. Converting Decimal Numbers to Scientific Notation - instruction and review, practice, and a quiz Interactive &
    5. Converting from Scientific Notation to Decimal Numbers - instruction and review, practice, and a quiz Interactive &
    6. Converting Fractions to Scientific Notation - instruction and review, practice, and a quiz Interactive &
    7. Practice with Scientific Notation - Pencil and paper may be needed - [Answers provided]
Compare rational numbers using the appropriate symbol (<, >, and =).
7.1.4
N
  1. Comparing Exponential Expressions - select, <, >, or =
  2. Comparing Fractions Factsheets - seven factsheets are available
  3. Comparing Fractions Game - three levels are available Interactive
  4. Comparing Fractions Games - two games; Dolphin Racing, and Ordering Game Interactive
  5. Comparing Fractions Quiz - three levels are available
  6. Comparing Fractions Worksheets - four worksheets available
  7. Comparing Integers - Comparing integers with absolute values - instruction and review, practice, and a quiz Interactive &
  8. Comparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two-digit decimal values.
  9. Greater, Less Than, or the Same - Compare these decimals - instruction and review, practice, and a quiz Interactive &
  10. MathDrill lets your students practice <, >, or =. Interactive
  11. Review Rules for Working with Rational Numbers - two interactive sections are provided, look for the blue blocks Interactive
Identify the opposite and the reciprocal of a rational number.
7.1.5
N
  1. How do I find the reciprocal of a decimal mixed number? - an answer to a student's question
  2. Rational Number and its Reciprocal - a step-by-step examination of a problem by Dr. Math
Connect percents greater than 100 and percents less than one to real-world situations.
7.1.6
N
  1. Practice Solving Percent Problems - more percent practice
  2. Using the Proportion Method to Solve Percent Problems - practice problems at the end
Apply order of operations when computing with whole numbers (no more than two parentheses and no exponents).
7.1.7
N
  1. Algebra: Order of Operations - [this link opens on a new page] a quiz from Quia
  2. Calculations Using Order of Operations - AAA Math lesson and practice problems Interactive &
  3. Division and Order of Operations - matching game
  4. Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S. Interactive
  5. Exploring Order of Operations - [game] click on the operations in correct order Interactive
  6. Flintstone Example - four characters try to solve a problem, four more examples at the bottom of the page.
  7. Learning Activity: Order of Operations - interactive lesson Interactive
  8. Math Quiz Game: Jeopardy style - Jeopardy style PowerPoint review game
  9. Order of Operations - Math Goodies from Ms. Glosser
  10. Order of Operations - Try a workout of 10 problems. If you get at least 8 correct on your first attempt, then you're ready to move on. If not, review "In Depth" and try again. Interactive
  11. Order of Operations - a 16 slide PowerPoint show with practice problems
  12. Order of Operations - a 13 slide PowerPoint show which makes good use of animation
  13. Order of Operations: What to Do First - a 25 slide PowerPoint show
  14. Order of Operations Game - Drag the numbers and the operation signs on the wood board to complete the equality Interactive
  15. Order of Operations Game - from MathFrog
  16. Order of Operations Pretest - ten multiple choice questions
  17. Order of Operations Tutorial - introduction, explanation, examples and a workout of sample problems
  18. Order of Operations Tutorial - work through several examples Interactive
  19. Order of Operations with Exponents - Math Goodies from Ms. Glosser
  20. Order of operations game from Funbrain.com [this link opens on a new page] (easier levels are available) Interactive
  21. Order of Operations Online Worksheet - ten problems, answers available
  22. Practice with Order of Operations - ten practice problems [answers available]
  23. Practice with Order of Operations - Get out your pencils and calculators and give these a try!
Solve one- and two-step real-world problems involving whole numbers, fractions, and decimals.
7.1.8
R
  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) Interactive
  5. Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall Interactive
  6. Million Dollar Mission - a mathematics fantasy
  7. Ms. Lindquist: The Tutor - A free, web-delivered, intelligent tutoring system for tutoring students in writing expressions for algebra word problems. This site is sponsored by NSF. Interactive
  8. Shopping at Troy's Toys - percent shopping Interactive
  9. Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
  10. Spy Guys Interactive - Problem Solving Bank - Lesson 20. (fifteen problems to solve, with suggested strategies given)
  11. Taming Word Problems - a WebQuest
  12. Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource
  13. Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills.
Use estimation strategies to select a reasonable solution to a computation involving rational numbers.
7.1.9
N
  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. Interactive
  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 by Rounding - Addition with regrouping - instruction and review, practice, and a quiz Interactive &
  5. Estimating by Rounding - Subtraction with regrouping - instruction and review, practice, and a quiz Interactive &
  6. Estimating Sum - No hints or clues given - instruction and review, practice, and a quiz Interactive &
  7. Estimation Strategies - several strategies are discussed
  8. Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance) Interactive
  9. Fermi Questions Library - Fermi questions use estimation procedures to solve questions like "How many jelly beans fill a one-liter jar?"
  10. How Big are Things - a printable cube to be used in making size estimations [several versions] This is an Adobe Acrobat document
  11. How to Simplify a Number - part of being approximate is simplifying numbers
  12. 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. Interactive
  13. Pinocchio estimation game - suggested game for developing the skill of estimation
  14. Round About - [this link opens in a new window] estimate by rounding. (Author - Sandi King) Interactive
  15. Rounding Off - Three levels are available in this game from BBC Education Interactive
  16. Scaling the Universe to Your Desktop - estimating size
  17. Spy Guys Interactive - Rounding Numbers - Lesson 9
  18. 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. Interactive
  19. Word problems - online quiz adding and subtracting fractions
  20. Your Body as a Ruler - a user's manual
Select a reasonable solution to a real-world division problem in which the remainder must be considered.
7.1.10
N
 
Connect rational numbers to locations on a number line.
7.1.11
N
  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!" Interactive
  2. Line Jumper - [this link opens on a new page] 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. Interactive
  4. 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. Interactive
  5. Rational Numbers on a Number Line - [designed for 6th grade]
    1. Practice problems to go with the lesson
  6. Rational Numbers on a Number Line - a 1 page document from Glencoe Publishers; with explanation, examples, and practice problems This is an Adobe Acrobat document
  7. Rational Numbers on a Number Line - a 13 page document with examples and sample problems This is an Adobe Acrobat document
  8. Rational Numbers on a Number Line - a 22 slide PowerPoint show with good sample questions
  9. Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included Interactive
Use ratios to represent quantitative relationships.
7.1.12
N
  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 Interactive &
  6. Determining the Ratio - instruction and review, practice, and a quiz Interactive &
  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 Interactive &
  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 Interactive
  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. Interactive
  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 Interactive
  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. Teaching Ratios and Proportions - suggestion for teachers and parents
  38. Using Proportions - online quiz
National Library of Virtual Manipulatives
  1. Number & Operations (Grades 6 - 8) Interactive


Algebra
7.2.1 | 7.2.2 | 7.2.3 | 7.2.4 | 7.2.5 | 7.2.6 | 7.2.7 | 7.2.8 | 7.2.9 | 7.2.10 | 7.2.11
Extend geometric and numerical patterns.
7.2.1
N
  1. Analyzing Numeric and Geometric Patterns of Paper Pool - an activity from Illuminations, the NCTM site. Interactive
  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 - (Instructions on how to use this page in your classroom) Interactive
  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. Interactive
  5. Number Cracker - [this link opens on a new page] Guess what number comes next in the pattern?
  6. Number Cruncher - Lists input and output in a table and will not let the user attempt to guess the rule on without at least having two data points. Interactive
  7. Patterns in Geometry - online quiz
  8. Patterns - Figure out the patterns, if you can! Interactive
  9. Spy Guys Interactive - Summarizing/Extending Patterns - Lesson 8
  10. Whole Number Cruncher - Similar to "Number Cruncher" but only generates multiplication and addition functions to avoid outputting any negative numbers Interactive
  11. Writing Rules for Patterns - online quiz
Apply function rules.
7.2.2
AT
  1. Ambleweb Function Machine - students identify what process was used to produce a sequence of numbers (twelve processes available) Interactive
Extend rate charts to solve real-world problems.
7.2.3
R
 
Generalize patterns in data represented in tables and graphs.
7.2.4
AT
  1. Vehicle Stopping Distance And Time - use data to reach conclusions - use their Vehicle Stopping Distance Calculator to do actual model calculations Interactive
Represent mathematical statements and real-world situations using symbols.
7.2.5
AT
  1. Spy Guys Interactive - Balancing Equations - Lesson 11
  2. Symbols of Inclusion - simplify each expression and choose the correct comparison symbol Interactive
  3. Translate Sentences into Equations Interactive
  4. Translating Word Problems - lesson with links to practice types of word problems
  5. Verbal Reasoning - Challenges students to clearly understand a problem and think through the solution! Interactive
  6. Word Problem Practice - Problems in addition, subtraction and more (Warning: many pop-up ads on this site)
Evaluate algebraic expressions given the value of two or more variables.
7.2.6
AT
  1. Spy Guys Interactive - Balancing Equations - Lesson 11
Solve one-step linear equations.
7.2.7
AT
  1. Function Machine - Students investigate very simple functions by trying to guess the algebraic form from inputs and outputs. Interactive
  2. Graphing Linear Equations - an Internet project
  3. Linear Equation Solvers - Practice Linear Equations! Improves your test scores! Interactive
  4. Linear Equation Solver from Algebra.com Interactive
  5. Linear Equation Solver - a pop-up window allows users to specify the number of equations Interactive
  6. Linear function - move your cursor to the green block to select step 1 Interactive
  7. Linear function and Graph - move your cursor over the green block to see lesson 1 or lesson 2
  8. Linear Function Machine - Students investigate linear functions by trying to guess the slope and intercept from inputs and outputs. Interactive
  9. Positive Linear Function Machine - Students investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs. Interactive
  10. Solving addition and subtraction equations - 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. Interactive
  11. Solving Linear Equations
Solve real-world problems involving one-step linear equations.
7.2.8
R
 
Identify whole numbers that satisfy a given one-variable inequality.
7.2.9
AT
 
Select a scatter plot to represent data presented in tabular form.
7.2.10
GR
  1. Step-by-step Internet4Classrooms module on how to produce a scatter plot using Excel
Interpret graphs which represent rates of change.
7.2.11
GR
 
National Library of Virtual Manipulatives
  1. Algebra (Grades 6 - 8) Interactive

Geometry
7.3.1 | 7.3.2 | 7.3.3 | 7.3.4 | 7.3.5 | 7.3.6 | 7.3.7
Identify the results of transformations of two-dimensional figures (i.e., turns/rotations, flips/reflections, slides/translations).
7.3.1
G
  1. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded. Interactive
  2. Flip, Slide, or Turn - six flash movies allow you to watch the path an object takes while it is being transformed
  3. Flips, Slides, and Turns - a manipulative which allows you to view the effect of applying reflection, translation, and rotation transformations Interactive
  4. Mathsnet Transformations - [this link opens on a new page] interactive site. a collection of approaches to this topic to offer you a choice. All require Java and a recent browser. Interactive
  5. Motion in Geometry - a 127 slide PowerPoint show
  6. Sam's Similar Shapes - [this link opens on a new page] Students learn about shapes that are different sizes but the same shape. (Author - Paulette Boggs) Interactive
  7. Spy Guys Interactive - Slides and Flips - Lesson 17
  8. Transformations - [designed for 7th grade] how to identify, describe, perform, and analyze transformations involving translations, reflections, and rotations Interactive
  9. Transformations - [designed for 7th grade] a 21 slide PowerPoint show produced by Holt, Rinehart and Winston
  10. Transformations - a Flash movie which demonstrates flips, slides, and turns
Classify triangles by angle, size, and length of sides.
7.3.2
G
  1. Angles - practice with acute, obtuse and alternate angles
  2. Classifying Angles - online quiz
  3. Equilateral, Isosceles, and Scalene Triangles - choose the most restrictive term
  4. Pythagorean Explorer - Students find the length of a side of a right triangle by using the Pythagorean Theorem, and then check their answers. Interactive
  5. The Pythagorean Theorem - online quiz
  6. Spy Guys Interactive - Working with Angles - Lesson 16
  7. Squaring the Triangle - learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle. Interactive
  8. Triangle Explorer - learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
  9. Triangle Identification - identify the triangle given its angles - instruction and review, practice, and a quiz Interactive &
  10. Triangle Identification - identify the triangle given its number of sides - instruction and review, practice, and a quiz Interactive &
  11. Triangles Side-By-Side - [this link opens on a new page] Students use geometric vocabulary to describe properties of triangles. (Author - Carolyn Garner)
Determine congruence of line segments, angles, and polygons.
7.3.3
G
  1. Congruent Triangles - The most popular congruent figures are triangles!
  2. Creating Congruent Triangles - Materials: rulers and protractors
  3. Definition of Congruence - Objects that are exactly the same size and shape are said to be congruent.
  4. More Practice with Congruences - Answer the following questions dealing with congruent figures.
  5. Pete's Polygons - [this link opens on a new page] Students learn about closed figures called polygons. (Author - Paulette Boggs) Interactive
  6. Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want Interactive
  7. Practice with Congruence - answer questions dealing with congruent figure
  8. Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor Interactive
Classify polygons by properties.
7.3.4
G
  1. Identify Polygons - Names of polygons by number of sides and angles - instruction and review, practice, and a quiz Interactive &
  2. Name that Polygon - Identify name of given polygon components - instruction and review, practice, and a quiz Interactive &
  3. Patterns for Solid Figures - Complete to make a cube figure Interactive
  4. Shape Explorer - Students are shown shapes on a grid and asked to calculate areas and perimeters of the shapes. Interactive
  5. Interactive Shapes - [this link opens on a new page] A wide range of mathematics is covered, including all four key stages, from polygons to circle theorems. Interactive
Use ordered pairs to describe given points in a coordinate system.
7.3.5
GR
  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. Interactive
  2. Coordinate Plane Practice - students type ordered pairs in the blocks on this interactive PowerPoint show
  3. 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
  4. General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. Interactive
  5. Graphing Applet - interactive site which identifies the ordered pairs of points students click on - Advanced version of the same applet Interactive
  6. Graphing Ordered Pairs - Make up any ordered pair of the form (x, y). Write it on paper. Use the mouse arrow and click the point on the coordinate graph below.Interactive
  7. Grid Graph - [this link opens on a new page] Students identify and plot points on a grid. (Author - Paulette Boggs) [Quadrant 1 only] Interactive
  8. Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines. Interactive
  9. Ordered Pairs - linear equations Interactive
  10. 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. Interactive
  11. 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. Interactive
  12. Simple Plot - enter ordered pairs then generate a graph Interactive
  13. Spy Guys Interactive - Using Ordered Pairs - Lesson 18
  14. Stock the Shelves - [this link opens on a new page] You are the clerk. Stock the shelves using a special coordinate plane. Interactive
  15. 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.
Determine the measure of an angle of a triangle, given the measures of the other two angles.
7.3.6
G
  1. Sum of Angles in a Triangle - students can explore this concept by moving the vertices of the triangle with pressed mouse button Interactive
Apply spatial reasoning and visualization to solve real-world problems.
7.3.7
R
  1. 3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views. Interactive
  2. Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures) Interactive
  3. Coloring 3-D sides - [UK spelling on this site] Find the red sides shown in a series of 2-D drawings and click on the right face of the 3-D model to color it red. 20 questions Interactive
  4. Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing. Interactive
  5. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded. Interactive
  6. Guess the View - Students are given a 3-D view of an object, and then given a 2-D view of the object. Students must choose which of 6 views is being displayed from a list.
  7. Plot Plans and Silhouettes - from Shape and Space in Geometry - the student task is to come up with plot plans that could match the given silhouettes. Background information is available at another page. Interactive
  8. Quick Images - In the following Interactive Activity, you'll stretch both your visualization and drawing muscles. (click on Show Shape to begin the activity) Interactive
  9. Rotating Houses - Students are presented with a 3-D figure created with blocks that can be rotated and flipped using a mouse. The figure must be rotated until it matches a 2-D representation of one of the views. Interactive
National Library of Virtual Manipulatives
  1. Geometry (Grades 6 - 8) Interactive


Measurement
7.4.2 | 7.4.3 | 7.4.4 | 7.4.5 | 7.4.6 | 7.4.7 | 7.4.8
Determine the distance between two points on the x- or the y-axis in Quadrant I.
7.4.2
 
Convert from one unit to another within the same system.
7.4.3
  1. Practice converting from one metric unit to another with this java applet (length, area, volume, mass, or time units) Interactive
Select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.
7.4.4
  1. Alien Angles - estimate angles, without a protractor, ranging from 1-180 by dragging a movable line Interactive
  2. Banana Hunt -This game helps students practice the degrees of an angle Interactive
  3. Measure it - [this link opens on a new page] Practice using a ruler - inches and centimeters Interactive
  4. Perimeter of a Square - Calculate the perimeter of a square with given dimensions - instruction and review, practice, and a quiz Interactive &
  5. Perimeter of a Rectangle - Calculate the perimeter of a rectangle with given dimensions - instruction and review, practice, and a quiz Interactive &
  6. Measurement Equivalents - Match game with standard equivalent measurements, such as pounds, ounces, pints, cups, etc. Interactive
  7. Perimeter Explorer - Students are shown shapes on a grid after setting the area and asked to calculate perimeters of the shapes. Interactive
  8. Spy Guys Interactive - Area and Perimeter - Lesson 12
  9. Spy Guys Interactive - Relating Area and Perimeter - Lesson 13
  10. Spy Guys Interactive - Surface Area of Prisms - Lesson 14
  11. Spy Guys Interactive - Volume and Displacement - Lesson 15
Apply formulas to determine the areas of rectangles, triangles, parallelograms, trapezoids, and circles.
7.4.5
  1. Animated Proof of the Pythagorean Theorem Interactive
  2. Area of an Irregular Rectangle - calculate the area of each figure given Interactive
  3. Calculating Areas - online quiz
  4. Challenge Exercises: Circumference & Area of a Circle
  5. Circle, Sphere & Cylinder Calculator Interactive
  6. Lesson on Perimeter of Polygons
  7. Measuring Around - find circumference, online quiz
  8. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - other practice activities
Estimate length, perimeter, circumference, area, and volume using a variety of strategies.
7.4.6
  1. Animal Weigh-In - Do you know your kilograms from your pounds? Interactive game Interactive
  2. Area Explorer - Students are shown shapes on a grid after setting the perimeter and asked to calculate areas of the shapes. Interactive
  3. Areas and Squares - online quiz
  4. Calculate the Area of the Rectangle - [this link opens on a new page] from FunBrain Interactive
  5. Calculate the Perimeter of the Rectangle - [this link opens on a new page] from FunBrain Interactive
  6. Calculating Areas - online quiz
  7. Lesson on Perimeter of Polygons
  8. Measuring Around - find circumferences, online quiz
  9. Measuring Angles - online quiz with virtual protractor
Find or estimate area of irregular and complex shapes.
7.4.7
 
Solve problems involving scale factors using ratios and proportions.
7.4.8
 
National Library of Virtual Manipulatives
  1. Measurement (Grades 6 - 8) Interactive

Data Analysis and Probability
7.5.1 | 7.5.2 | 7.5.3 | 7.5.4 | 7.5.5 | 7.5.6 | 7.5.7 | 7.5.8 | 7.5.9
Interpret bar and line graphs to answer questions and solve real-world problems.
7.5.1
  1. Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values Interactive
  2. Collecting and Analyzing Data - online quiz
  3. Comparative Bar Graphs - read the graph and answer questions
  4. Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
  5. Graphs and charts - four different graphs and charts for you to consider Interactive
  6. Graphing Jeopardy Game - [this link opens on a new page] Review graphing terbs and information this fun way.Interactive
  7. The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
  8. Interactive Graphs - large number of interactive graphs related to social studies topics Interactive
  9. Interpreting Column Graphs - students practice by answering ten questions about the graph
  10. Interpreting Data - online quiz
  11. Interpreting Line Graphs - [this link opens on a new page] explore line graphs. (Author - Michael Naylor) Interactive
  12. Magic Bullets: Chemistry vs. Cancer - In this activity students will work with data about cancer deaths. The purpose of the activity is to give students some experience in reading and interpreting graphs. There is a worksheet associated with the data sets
  13. Push Ups - [this link opens on a new page] collect data to put on a line graph. (Author - Sandi King) Interactive
  14. Overview of a Bar Graph by Nicole Carroll followed by a practice quiz
  15. Overview of a Line Graph by Nicole Carroll followed by a practice quiz
  16. Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10
  17. Using Data and Statistics - good graphs, however they are not interactive
  18. Using Graphs to Understand Data - online quiz
Interpret circle graphs displaying real-world data.
7.5.2
  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) Interactive
  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 Interactive
  3. Graphs and charts - four different graphs and charts for you to consider Interactive
  4. Interpreting Circle (Pie) Graphs - practice by answering eight questions about the graph
  5. Overview of a Circle Graph by Nicole Carroll followed by a practice quiz
  6. Piece Of Pie - [this link opens on a new page] display data using a circle graph. (Author - Sandi King) Interactive
  7. Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent) Interactive
Determine the mean or median for a data set.
7.5.3 - mean
7.5.4 - median

  1. Basketball Debate - [this link opens on a new page] explore the meaning of average (or mean) and relate these concepts to real world experiences. (Author - Michael Naylor) Interactive
  2. Bicycles Ala Mode - [this link opens on a new page] understand and apply the concepts of mean, median and mode. (Author - Michael Naylor) Interactive
  3. Comparing Properties of the Mean and the Median through the use of Technology
  4. 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.
  5. Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate Interactive
  6. Medians - [this link opens on a new page] understand and apply the concepts of median and mean. (Author - Michael Naylor) Interactive
  7. Party Comedian - [this link opens on a new page] find and use the median of a set of data. (Author - Kristy Rousseau) Interactive
  8. Party Mode - [this link opens on a new page] find and use the mode of a set of data. (Author - Kristy Rousseau) Interactive
Make predictions based on data.
7.5.5
  1. Adjustable Spinner - 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. Interactive
  2. Analyzing game probabilities - online quiz
  3. Bean Pi - To involve students in a small group exploration of the concept of area for circles, and to involve students in data collection.
  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. Interactive
  5. Practice with Data - answer questions pertaining to collecting and organizing data
  6. Probability - online quiz
  7. Quantitative Environmental Learning Project - a rich source of data based projects
  8. 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. Interactive
  9. Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials. Interactive
  10. Spy Guys Interactive - Probability - Lesson 19
  11. 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. Interactive
  12. 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)
Use a tree diagram or make an organized list to determine all possible outcomes of a simple compound event.
7.5.6
  1. Heads Up Probability - [this link opens on a new page] use tree diagrams as models for predicting outcomes and the likelihood of events using coins. (Author - Michaél Dunnivant) Interactive
  2. Leap Frog - [this link opens on a new page] design an experiment to answer a question, collect information, and interpret the results using charts. (Author - Michaél Dunnivant) Interactive
  3. Me Too Probability - [this link opens on a new page] use a tree diagram to display possible outcomes of who will come to the party. (Author - Michaél Dunnivant) Interactive
  4. On Stage Probability - [this link opens on a new page] use tree diagrams to display the possible outcomes of casting a play. (Author - Michaél Dunnivant) Interactive
  5. 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. Interactive
  6. Who Will Probably? - [this link opens on a new page] use problem-solving steps and a tree diagram to display possible outcomes and make predictions. (Author - Michaél Dunnivant) Interactive
Connect data sets and their graphical representations (i.e., bar graphs, stem-and-leaf plots, box plots, and scatter plots).
7.5.7
  1. Box Plot - explanation from the Engineering Statistics Handbook
  2. Box Plot - comparing the average height of singers
  3. Box Plot - interactive Interactive
  4. Box and Whisker Plots
  5. Box and Whisker Plot - use your TI-83+ graphing calculator with box and whisker plots
  6. A lesson designed to introduce students to stem-and-leaf plots
  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
  9. Let the Games Begin: Olympic Trials in Data Analysis This is an Adobe Acrobat document
  10. Long Distance Airplanes - a stem-and-leaf plot lesson from Iluminations (rated 3rd-5th grade, but quite useful)
  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). Interactive
  12. Organizing Data in a Stem and Leaf Plot - a lesson plan from Annenberg CPB
    1. Making a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page Interactive.
    2. Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page. Interactive
    3. Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page. Interactive
  13. Overview of a Stem-and-leaf plot by Nicole Carroll followed by a practice quiz
  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 Interactive
  16. Stem-and-Leaf plots - from Purple Math
  17. Worksheet to accompany a "Stem-and-Leaf Plots" Lesson This is an Adobe Acrobat document
Use proportional thinking to make conjectures about results of experiments and simulations.
7.5.8
  1. Analyzing game probabilities - online quiz
  2. Leap Frog - [this link opens on a new page] design an experiment to answer a question, collect information, and interpret the results using charts. (Author - Michaél Dunnivant) Interactive
  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. Interactive
  4. Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials. Interactive
  5. Understanding Experimental Probability - Experiment with experimental probability using a fixed size section spinner, a variable section spinner, 2 regular 6-sided number cubes or design your own number cubes.
Connect the symbolic representation of a probability to an experiment.
7.5.9
  1. Adjustable Spinner - 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. 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.
  3. Leap Frog - [this link opens on a new page] design an experiment to answer a question, collect information, and interpret the results using charts. (Author - Michaél Dunnivant) Interactive
  4. Probability Spinner - Check out your probabilities here
  5. Probability - online quiz
  6. 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.
  7. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
Virtual Manipulatives
  1. Data Analysis & Probability (Grades 6 - 8) Interactive
  2. Virtual Dice - four styles available; single, double, triple, or +/- dice Interactive

Review Help
Practice Tests
  1. Brainchild - twenty-four questions, followed by practice on any incorrect responses
  2. Council on Competiveness presents a truly rigorous exam - select 7th Grade and then Math [timed exam]
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)
  2. FCAT Sample Test Book - [2008] sample questions and test taking tips This is an Adobe Acrobat document
  3. FCAT Sample Answer Book - [2008] sample questions and test taking tips This is an Adobe Acrobat document
  4. Texas end-of-year Math test 2003
FCAT Sample Test Book
  1. The FCAT Sample Test Books are designed to help students become familiar with FCAT (Florida) by providing helpful hints and offering practice answering questions in different formats. Half of this document is math and half is reading. This is an Adobe Acrobat document
Various Review Aids
  1. Geometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
  2. Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.
  3. Math 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.

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