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Saturday, August 4, 2007

8th Grade Mathematics Skills


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8th Grade Mathematics Skills
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Number & Operations | Algebra | Geometry | Measurement | Data Analysis | Review Help
Links verified 1/6/07
Return to Grade Level Skills
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 site for teachers | a PowerPoint show | This is an Adobe Acrobat document Adobe Acrobat document | a Word document
sound | video format
| interactive lesson | a quiz | lesson plan | to print
Number and Operations
8.1.1 | 8.1.2 | 8.1.3 | 8.1.4 | 8.1.5 | 8.1.6 | 8.1.7 | 8.1.8 | 8.1.9 | 8.1.10 | 8.1.11
SPI's & Reporting Categories
(based on Tennessee Curriculum Standards)
Internet Resources
Identify the opposite and the reciprocal of a rational number.
8.1.1
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
Compare rational numbers using the appropriate symbol (<, >, and =).
8.1.2
N
  1. Comparing Integers - Comparing integers with absolute values
  2. 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.
  3. Greater, Less Than, or the Same - Compare these decimals
  4. MathDrill lets your students practice <, >, or =.
Use ratios and proportions to represent real-world situations (i.e., scale drawings and probability).
8.1.3
N
  1. All About Ratios - a Quiz
  2. 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.
  3. Comparing Ratios and Rates - online quiz
  4. Determine the number based on the ratio - online quiz
  5. Determining the Ratio - online quiz
  6. Interpreting and Applying Proportions - online quiz
  7. Percentages and Proportions - online quiz
  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 with a Calculator - after the lesson there are problems to work
  10. Practice with Ratios - online quiz
  11. Ratio & Proportion - math review practice exercises
  12. 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.)
  13. 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?
  14. 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.
  15. Using Proportions - online quiz
Determine the approximate locations of rational numbers on a number line.
8.1.4
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!"
  2. Line Jumper - FUNBRAIN will show you a number line. Click on the number line at the correct answer. (Be brave, choose Super Brain!)
  3. Number Line Bounce - Instructions on how to play are included at the top of the window.
  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.
Determine the square roots of perfect squares (<169).
8.1.5
N
  1. Four Step Lesson on Square Roots Step three is a listing of the square root of all perfect squares up to 100 and step four is a quiz
  2. Martian Math - Answer questions about square roots, and powers of multiplication as you help some not-very-bright aliens repair their ship. [Caution: you must close an ad window between each level of this activity]
  3. Number Cop - select Perfect Squares, click on Start then use the left and right arrows to move the police car to intercept only perfect squares
  4. Square Root Calculator - The Square Root Calculator will find the square root of the number you enter.
  5. Square Root Flashcards -
  6. Square Root Matching from Quia
  7. Square Roots Without a Calculator from the Math Forum
  8. Square Roots - Find the square root of a perfect square number. (a matching game like concentration)
  9. Tic Tac Toe Squares - finding the square roots of numbers less than 1000.
Work flexibly with fractions, decimals, and percents to solve one- and two-step word problems.
8.1.6
R
  1. Age Word Problems - Online lesson on how to do these types of problems, plus practice
  2. Calculate percent - Discover relationships between fractions, percents, and decimals
  3. Equation Match - Find the value of X in each equation
  4. Late Delivery - Find the value of expression written on each door to deliver the mail
  5. Percent Game - Funbrain site
  6. Problem Solving - Worksheets that may be printed for students
  7. Simple Interest Problems - quiz
  8. Simple Interest Calculations - online lesson
  9. Simple Interest Rates - quiz
  10. Using percents - online quiz
  11. Verbal Reasoning - Challenges students to clearly understand a problem and think through the solution!
  12. Word Problems for Kids - Select your grade level and good luck! Hints are provided (grades 5-12)
  13. Fractions
    1. Adding Fractions - with the same denominator
    2. Adding Fractions - using circle graphs - (mixed numbers)
    3. Adding Fractions - mixed denominators
    4. Converting Fractions, Decimals, and Percents - from Fact Monster
    5. Divide fractions - using circles, will show visually how the divisor will fit into the dividend a whole number of times
    6. Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations.
    7. 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!
    8. Fraction Decimal Conversion - a Quia quiz
    9. Fraction Decimal Conversion - another Quia matching quiz
    10. Fraction Decimal Conversion - a Quia concentration style quiz
    11. Fractional Distances - Find Grampy by entering a fractional distance. (includes mixed numbers and various fractions)
    12. Fractions Converted to Percent and Decimals - an eleven question quiz from McGraw Hill Ryerson.
    13. Multiply fractions - circles, mixed number times a whole number
    14. Multiplying and Dividing Fractions - online quiz
    15. Percent Fraction Matching - a Quia quiz
    16. Practice Converting Percent to Fractions - when you finish practicing, scroll down to take a quiz
    17. Rename Fractions in Lowest Terms - practice renaming fractions
    18. Subtracting Fractions - with same denominator
    19. Word problems - online quiz adding and subtracting fractions
    20. Writing Fractions as Percent - five practice problems are at the end of the lesson
Compute efficiently and accurately with whole numbers, fractions, decimals, and percents.
8.1.7
N
  1. Adding with decimals - Addition of numbers with three decimal digits
  2. Fractions, Decimals or Percent - two are given, you supply the third
  3. Multiplying and Dividing with Decimals - online quiz
  4. Percent Game - Funbrain site
  5. 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)
  6. Percent Problems - a one-player, or two-player game from Quia
  7. Percent with a Calculator - after the lesson there are problems to work
  8. Solving Percent Problems Using a Pyramid Grid - an interactive lesson
  9. Subtracting with decimals - Subtraction with three decimal digits
Use estimation strategies to select a reasonable solution to a real-world problem involving computing with rational numbers.
8.1.8
N
  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
  4. Estimating by Rounding - Subtraction with regrouping
  5. Estimating Sum - No hints or clues given
  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. 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.
  9. Rounding Off - Three levels are available in this game from BBC Education
  10. Word problems - online quiz adding and subtracting fractions
Calculate rates involving cost per unit to determine the best buy.
8.1.9
R
  1. American Grocery Shoppers - Consider the problem of determining a "better buy" when you are shopping for canned tomatoes. (an interesting perspective on unit cost)
  2. What's for Lunch? Pizza Cost Comparison - Visit the Internet Pizza Server and compare costs for different combinations of toppings and pizza sizes. You will also have the opportunity to create and "order" a pizza of your choice.
Use exponential, scientific, and calculator notation to represent large numbers in real-world situations.
8.1.10
N
  1. Converting Standard Numbers to Scientific Notation - online quiz
  2. Converting from Scientific Notation to Standard Numbers - online quiz
  3. Comparing Scientific and Standard Notation Numbers - online quiz
  4. Converting Decimal Numbers to Scientific Notation - online quiz
  5. Converting from Scientific Notation to Decimal Numbers - online quiz
  6. Converting Fractions to Scientific Notation - online quiz
  7. 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.
  8. Interactive Algebra Review on Integer Exponents
  9. Practice with Scientific Notation - Pencil and paper may be needed - (answers provided)
  10. Scientific notations - lesson on how to do notation
  11. Scientific Notation - Why your wrist (or keyboard) will thank you for not writing all those zeros.
  12. 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.
Apply order of operations in computing with rational numbers using no more than two parentheses and exponents 1 and 2.
8.1.11
N
  1. Evaluating Algebraic Expressions - Order of Operations/P.E.M.D.A.S.
  2. 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.
  3. Order of operations game from Funbrain.com (easier levels are available)
National Library of Virtual Manipulatives
  1. Number & Operations (Grades 6 - 8)



Algebra
8.2.1 | 8.2.2 | 8.2.3 | 8.2.4 | 8.2.5 | 8.2.6 | 8.2.7 | 8.2.8 | 8.2.9 | 8.2.10 | 8.2.11
Generalize a variety of patterns with symbolic rules.
8.2.1
AT
  1. Button Beach - use logic to determine the value of rows of buttons, three levels of challenge
  2. Create your own pattern - drag shapes to create a pattern
    1. Instructions on how to use this page in your classroom
  3. 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.
  4. Number Cracker - guess what number comes next in the pattern
  5. Patterns in Geometry - online quiz
  6. Patterns - Figure out the patterns, if you can!
  7. 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
  8. Writing Rules for Patterns - online quiz
Evaluate a first-degree algebraic expression given values for two or more variables.
8.2.2
AT
  1. Spy Guys Interactive - Balancing Equations - Click Skip Intro, then select Lessons, and then click on Lesson 11
Represent situations and solve real-world problems using symbolic algebra.
8.2.3
AT
  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. 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.
  5. Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
  6. Taming Word Problems - a WebQuest
  7. 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.
  8. 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.
Connect symbolic expressions and graphs of lines.
8.2.4
GR

Generate equivalent forms for simple algebraic expressions.
8.2.5
AT
Solve one- and two-step linear equations involving integers.
8.2.6
AT
  1. Linear Equation - Online lesson
  2. Linear Equation Solver - You type in the equation. The equation solver will solve it for you with an explanation of how the problem was done.
  3. Linear Equation Solvers - Practice Linear Equations! Improves your test scores!
  4. The Linear Equations Solver Applet - This java applet solves linear equations of two unknown variables.
  5. Linear Equation Solver from Algebra.com
  6. Linear Equation Solver - a pop-up window allows users to specify the number of equations
  7. Rags to Riches Game - a fun practice for 1-step, 2-step and multi-step equations. The game is similar in nature to "Who Wants to Be a Millionaire"
  8. 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.
  9. Solving Linear Equations
  10. Solving Equations - Click the button "Give me a problem" to get a randomly created problem. Make a serious attempt at solving the problem yourself.
  11. Solving Equations with Variables on Both Sides - at Mathbiz.com
  12. Word problems that lead to simple linear equations - Online lesson
Apply given formulas to solve real-world problems.
8.2.7
AT
  1. Stressed Out - Slope as Rate of Change
Interpret graphs which represent rates of change.
8.2.8
GR
  1. Exploring Baby Weight Mathematically - A baby's weight changes dramatically in the first weeks of life. For example, students will look at data for Baby Kevin and Baby David.
  2. 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
  3. Quantitative Environmental Learning Project - a rich source of data based projects
Formulate multi-step equations that represent relationships and real-world situations.
8.2.9
AT
  1. Spy Guys Interactive - Balancing Equations - Click Skip Intro, then select Lessons, and then click on Lesson 11
Solve one-step linear inequalities.
8.2.10
AT
  1. Inequalities Workout at Math.com
  2. Practice with Solving Inequalities
  3. Solving Inequalities: Overview - from Purple Math
Connect the appropriate graph to a linear equation.
8.2.11
GR
  1. Algebra vs the Cockroaches - determine the slope of the line that cockroaches are crawling along to destroy them
  2. Equation of a Line: Slope-Intercept Form - An interactive applet that will help you visualize how changing the values for the slope, m, and the y-intercept, b, will affect the graph of the equation y = mx + b.
  3. Find the graph that best matches the linear equation
  4. Linear Equation Test - Can you work out the answers? Use the multiple choice boxes or the radio buttons to select your answer.
  5. Linear function - move your cursor to the green block to select step 1
  6. Linear function and Graph - move your cursor over the green block to see lesson 1 or lesson 2
  7. Linear Functions Part A: Basics: Slope and Intercept Part B: Finding the Equation of a Line
  8. Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations.
  9. Bell work PowerPoint show on Slope of a line
  10. Linear Function Jeopardy in the form of a PowerPoint show
  11. Equation of Lines - a PowerPoint show
  12. Slopes and Intercepts - an excellent PowerPoint show on slope of a line
  13. Use Excel to Create a Scatter Plot - a step by step tutorial
National Library of Virtual Manipulatives
  1. Algebra (Grades 6 - 8)


Geometry
8.3.1 | 8.3.2 | 8.3.3 | 8.3.4 | 8.3.5 | 8.3.6 | 8.3.7 | 8.3.8 | 8.3.9
Classify types of two- and three-dimensional objects using their defining properties.
8.3.1
G
  1. Congruent Plane Figures - draw lines of symmetry to make congruent figures
  2. Creating Polygons - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
  3. Identify Polygons - names of polygons by number of sides and angles
  4. Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
  5. Name that Polygon - identify name of given polygon components
  6. Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want
  7. Triangle Identification - What type of triangle, given its angles.
Use ordered pairs to describe given points in a coordinate system.
8.3.2
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.
  2. 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
  3. General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.
  4. Graphing Equations and Inequalities Unit Quiz
  5. Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines.
  6. Practice from Math.com: The coordinate plane, Slope and y-intercept, and Graphing linear equations.
  7. 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.
  8. 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.
  9. 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.
  10. Spy Guys Interactive - Using Ordered Pairs - Click Skip Intro, then select Lessons, and then click on Lesson 18
  11. What's the Point? - a coordinate plane game from Funbrain.com (use the hardest level)
  12. 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.
Identify relationships among the angles (i.e., complementary, supplementary, interior, exterior, vertical, and corresponding).
8.3.3
G
  1. Complementary Angles - Match the angles that are complementary. (a Quia game available in Matching, Flashcards, and Concentration format)
  2. Geometric Terms - this Quia quiz contains four activities - matching, flash cards, concentration, and a word search puzzle - which reinforce students vocabulary concerning angles.
  3. Introduction to Angles - Basic terms related to the classification of angles (a Quia game available in Matching, Flashcards, Word Search, and Concentration format)
  4. Types of angles and pairs of angles - good illustrations
  5. Working with Angles - Answer the questions which deal with angles
Recognize similar geometric figures.
8.3.4
G
  1. Sam's Similar Shapes - Students learn about shapes that are different sizes but the same shape. (Author - Paulette Boggs)
Determine the measure of an angle of a triangle given the measures of the other two angles.
8.3.5
G
  1. Sum of Angles in a Triangle - students can explore this concept by moving the vertices of the triangle with pressed mouse button
Apply relationships among the angles and side lengths of similar geometric figures.
8.3.6
G
  1. A Mathematical Droodle - Two Triples of Similar Triangles
  2. Geometry Java Applets - Similar Triangles
  3. Similar Triangle Question - an example of the "shadow problem"
  4. Virtual Manipulative - Similar Triangles
Apply spatial reasoning and visualization to solve real-world problems.
8.3.7
R
  1. 3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views.
  2. Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures)
  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
  4. Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing.
  5. Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
  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.
  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)
  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.
Apply geometric ideas and relationships in areas outside the mathematics classroom (i.e., art, science, and everyday life).
8.3.8
R
  1. Art, Geometry, and Abstract Sculpture - Computer Graphics, Art, Math, Geometry, and Abstract Sculpture are closely related.
  2. Geometry and Art - Using the collection of the Indianapolis Museum of Art as a guide, What's the Problem explores the way geometry is used as a creative tool in the work of several artists.
Solve problems using angle relationships (i.e., complementary, supplementary, interior, exterior, vertical, and corresponding).
8.3.9
G
  1. Angles - Students practice their knowledge of acute, obtuse and alternate angles.
  2. Classifying Angles - online quiz
  3. Measuring Angles - online quiz with virtual protractor
  4. Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor
  5. Pythagorean Theorem - online quiz
  6. Pythagorean Explorer - Students find the length of a side of a right triangle by using the Pythagorean Theorem, and then check their answers.
  7. Squaring the Triangle - Students learn about how the Pythagorean Theorem works, through investigating the standard geometric proof. Parameters: Sizes of the legs of the triangle.
  8. Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.
National Library of Virtual Manipulatives
  1. Geometry (Grades 6 - 8)


Measurement
8.4.1 | 8.4.2 | 8.4.3 | 8.4.4 | 8.4.5 | 8.4.6 | 8.4.7 | 8.4.8 | 8.4.9
Select units of appropriate size and type to measure angles, perimeter, area, surface area, and volume.
8.4.1
ME
  1. A Dictionary of Units - This provides a summary of most of the units of measurement to be found in use around the world today (and a few of historical interest), together with the appropriate conversion factors needed to change them into a 'standard' unit of the SI.
  2. Interactive Units Converter - Here you will find interactive calculators for many measurement systems both commonly used like metric and U.S. Avoirdupois and quite exotic like Ancient Greek and Roman.
  3. Measure converter - Full Conversion Table (sorted by Measure Unit Name)
  4. Measure4measure - a collection of interactive sites on the web that estimate, calculate, evaluate, translate etc. In other words, they do the work for you.
  5. Unit of Measure - an encyclopedia article from Encarta
Convert from one unit to another within the same system.
8.4.2
ME
  1. Practice converting from one metric unit to another with this java applet (length, area, volume, mass, or time units)
Estimate length, perimeter, circumference, area, and volume using a variety of strategies.
8.4.3
ME
  1. Areas and Squares - online quiz
  2. Curious and Useful Math - Here you will find tricks and rules for quickly calculating certain types of math problems.
  3. K-12 Math Problems, Puzzles, Tips & Tricks from the Math Forum
  4. Lesson on Perimeter of Polygons
  5. Perimeter of a Square - Calculate the perimeter of a square with given dimensions
  6. Perimeter of a Rectangle - Calculate the perimeter of a square with given dimensions
Apply formulas to find the area of triangles, parallelograms, and trapezoids.
8.4.4
ME
  1. How Do You Find the Area of a Triangle? - from the Interactive Geometry Dictionary: Areas in Geometry, Area of a Triangle
Solve real-world problems involving rate/time/distance (i.e., d = rt).
8.4.5
R
  1. Ratios and Proportions - Distance, rate and time - (This is a 3 step lesson followed by a workout.)
  2. Understanding Distance, Speed, and Time Relationships Using Simulation Software - a software simulation of two runners along a track - Students can control the speeds and starting points of the runners, watch the race, and examine a graph of the time-versus-distance relationship.
Apply formulas to find the circumference and area of circles.
8.4.6
ME
  1. Animated Proof of the Pythagorean Theorem
  2. Calculating Areas - online quiz
  3. Challenge Exercises: Circumference & Area of a Circle
  4. Circle, Sphere & Cylinder Calculator
  5. Lesson on Circumference of a Circle
  6. Measuring Around - find circumference, online quiz
  7. The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - other practice activities
Estimate or find the area of irregular and complex shapes.
8.4.7
ME
  1. Using Spreadsheets to Find Area and Perimeter - The cells of a spreadsheet are a useful way to represent area and perimeter.
Solve problems involving scale factors using ratios and proportion.
8.4.8
R
  1. Percents and Ratios - AAA math site with many interactive quizzes
  2. Reduce Ratios to Lowest Terms - interactive quiz
  3. Spy Guys Interactive - Ratio - Click Skip Intro, then select Lessons, and then click on Lesson 3
Solve real-world problems using the Pythagorean theorem (no radicals).
8.4.9
ME
  1. Demonstrate the Pythagorean Theorem - from NOVA
  2. Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995.
  3. Nineteen Pythagorean Theorem applets
  4. Proof of the theorem is demonstrated through a Quicktime animation.
  5. Pythagorean theorem - Use this java applet to explore the Pythagorean theorem
  6. Pythagorean Theorem - a java applet that allows students to investigate this theorem.
  7. Pythagorean Theorem - This lesson will allow you to figure out the Pythagorean Theorem all by yourself.
  8. Pythagorean Theorem and its many proofs (43 to be precise)
  9. Pythagorean theorem and right triangle facts - given the length of three sides, determine if a right triangle is being described
  10. Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle.
  11. Using the Pythagorean Theorem Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page.
National Library of Virtual Manipulatives
  1. Measurement (Grades 6 - 8)


Data Analysis and Probability
8.5.1 | 8.5.2 | 8.5.3 | 8.5.4 | 8.5.5 | 8.5.6 | 8.5.7 | 8.5.8
Identify an appropriate sample to test a given hypothesis.
8.5.1
DP
  1. What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment
Interpret appropriate graphical representations of data (i.e., histograms, box plots, and scatter plots).
8.5.2
DP
  1. Graphs and charts - four different graphs and charts for you to consider
  2. The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.
  3. Interactive Graphs - large number of interactive graphs related to social studies topics
  4. Interpreting Line Graphs - Students explore line graphs. (Author - Michael Naylor)
  5. Leap Frog - Students design an experiment to answer a question, collect information, and interpret the results using charts. (Author - Michaél Dunnivant)
  6. 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
  7. Reading Pie, Line and Scatter Graphs - questions related to a graph (good real-world activity)
  8. Spy Guys Interactive - Understanding and Interpreting Graphs - Click Skip Intro, then select Lessons, and then click on Lesson 10
  9. Using Data and Statistics - good graphs, however they are not interactive
Determine the mean or median of a given set of real-world data.
8.5.3 - mean
DP
  1. Basketball Debate - Students explore the meaning of average (or mean) and relate these concepts to real world experiences. (Author - Michael Naylor)
  2. Comparing Properties of the Mean and the Median through the use of Technology
  3. 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.
  4. Medians - Students understand and apply the concepts of median and mean. (Author - Michael Naylor)
Connect data sets and their graphical representations (i.e., histograms, stem-and-leaf plots, box plots, and scatter plots).
8.5.4
DP
  1. Box Plot - explanation from the Engineering Statistics Handbook
  2. Box Plot - comparing the average height of singers
  3. Box Plot - interactive
  4. Box and Whisker Plots
  5. Box and Whisker Plot - use your TI-83+ graphing calculator with box and whisker plots
  6. Let the Games Begin: Olympic Trials in Data Analysis This is an Adobe Acrobat document
  7. Lesson designed to introduce students to stem-and-leaf plots
  8. Long Distance Airplanes - a stem-and-leaf plot lesson from Illuminations (rated 3rd-5th grade, but quite useful)
  9. Make a Stem-and-Leaf plot of the data you enter into the text area (ignore the warning about Internet Explorer, it works fine).
  10. 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.
    2. Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page.
    3. Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page.
  11. Overview of Mean, Median, and Mode
  12. Overview of stem-and-leaf plot - a display that organizes data to show its shape and distribution
  13. Stem and Leaf Plotter - an interactive applet that allow students to input data
  14. Stem-and-Leaf plots - from Purple Math
  15. Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments
  16. Spy Guys Interactive - Understanding and Interpreting Graphs - Click Skip Intro, then select Lessons, and then click on Lesson 10
  17. Worksheet to accompany a "Stem-and-Leaf Plots" Lesson
Make conjectures and predictions based on data.
8.5.5
GR
  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. Adjustable Spinner - Change the number of sectors and increase or decrease their size to create any type of spinner. Then, conduct a probability experiment by spinning the spinner many times. How does the experimental probability compare with the theoretical probability
  3. Analyzing game probabilities - online quiz
  4. Data Interpretation Games - Numerous activities on using and interpreting data - Activities include bar, pie and line graphs, data collecting and much more
  5. Fun and Sun Rent-a-Car - students use tables, graphs, linear functions to solve a real-world problem
  6. Graphing Skills - What's the point? Find the point on the grid
  7. 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.
  8. Million Dollar Mission - a mathematics fantasy
  9. Probability - online quiz
  10. Probability Spinner - Check out your probabilities here!
  11. Practice with Data - answer questions pertaining to collecting and organizing data
  12. 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.
  13. Two Colors - Students choose between three boxes and choose one marble from the box to look at conditional probabilities. Parameters: Number of trials.
  14. 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.
  15. Using Graphs to Understand Data - online quiz
  16. Vehicle Stopping Distance And Time - use data to reach conclusions - use their Vehicle Stopping Distance Calculator to do actual model calculations
  17. 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)
Connect the symbolic representation of a probability to an experiment.
8.5.6
DP
  1. Coin Flipping page - flip up to 100 coins and see the total number of heads and tails. Excellent for teaching about probability.
  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. Interactive Probability Tutorials: Sample Spaces and Events, Estimated Probability, Empirical Probability, Abstract Probability and Conditional Probability and Independence
  4. Probabilistic Situations - a short slide show on the topic
  5. Probability Theory: The Layman's Guide to Probability - An in-depth but easily readable guide on probability theory, covering various aspects of the theory with a bias to gambling games and strategies. Includes working examples in an excel spreadsheet.
  6. What are Your Chances - What many people refer to as 'good luck' can actually be explained by a little knowledge about probability and statistics. Our dice game allows you to see how increasing or decreasing the number of dice rolls effects an outcome.
Determine the mean or median of a given set of real-world data.
8.5.7 - median
DP
  1. Bicycles Ala Mode - Students understand and apply the concepts of mean, median and mode. (Author - Michael Naylor)
  2. Comparing Properties of the Mean and the Median through the use of Technology
  3. 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.
Recognize misleading presentations of data.
8.5.8
DP
  1. Press Release regarding misleading data
National Library of Virtual Manipulatives
  1. Data Analysis & Probability (Grades 6 - 8)


Review Help
Practice Tests!
  1. Virginia State Standards of Learning - Select Math 8, and then select 10, 20, or 40 questions.
  2. Brainchild - twenty-four questions, followed by practice on any incorrect responses
  3. Brainchild for grade 9 math
  4. Council on Competiveness presents a truly rigorous exam - select 8th Grade and then Math [timed exam]
ISAT
  1. Interactive Sample Tests - released sample items from the Illinois State Board of Education
Released Tests & others
  1. Eighth 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. Texas end-of-year Math test 2003
Various Review Aids
  1. Geometry Jeopardy - Topics covered: Polygons & Transformations, Circles, Symmetry, Lines & Angles, and Triangles & Congruency
  2. Illuminations - interactives for grades 6-8
  3. Junior High Math Interactives - includes interactive math activities, print activities, learning strategies, and videos that illustrate how math is used in everyday life.

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