Grade 8 Mathematics
- Math Makes Sense Supplements and MORE!
|Understanding Exponents, |
Algebra Exponents - a tutorial and quiz on line for additional review and practice
Tic Tac Toe Squares - practice squares, cubes, or square roots on sight
|Prime Factors, |
|Order of Operations, |
|Order of Operations game - set the number of questions and your time limit, then drag pieces to make correct equations based on the order of operations|
|Using a Model to Solve Equations, |
|Equation Balance - A gsp file in which you manipulate virtual objects on a virtual balance in order to understand some basic principles about solving equations (i.e., "do the same thing to both sides").|
|Unit 2: Applications of Ratio, Rate, and %|
|Entire Unit|| |
Figure and Ratio of Area - visualize ratios by changing the sizes and area of one shape and comparing it to another
Gear Inch & Shifting Pattern Calculator - a real-life application of ratio, using cycling gear information
The Meaning of Ratio - interactive interpretations of 2-term ratios
|Unit 3: Geometry and Measurement|
|Drawing Isometric and Pictorial Diagrams, pp 96-97|| |
Isometric dot paper - make your own isometric dot paper at this website: saves as a pdf file which you can then print as needed
Isometric dot paper - pre-made, ready to print for those in a hurry
Isometric Drawing Tool - Create dynamic drawings on isometric dot paper. Draw figures using edges, faces, or cubes, and then shift, rotate, color, decompose, or view them in 2D or 3D.
|Building and Sketching Objects, |
|GSP dot paper|
|Golden Rectangles, pp 130-131|| |
Golden Ratio, from Ask Dr. Math - explanations and diagrams
Golden rectangle - an interactive virtual manipulative
|Unit 4: Fractions and Decimals|
Adding Fractions - Illustrates with pictures finding the common denominator.
Fractions - Rectangle Multiplication – Visualize and practice multiplying fractions using an area representation (scroll down the page once you get there, to find the link).
Fractions Tutorials - High-quality fractions tutorials (scroll down the page about half way)
MathSplat - Click on the right answer to addition problems or the bug splats on your windshield!
Who wants pizza? - Explains the concept of fraction, addition and multiplication with an pizza example, then has some interactive exercises.
|Converting Between Decimals and Fractions, pp 165-168||Fraction-decimal Conversions - 3 activities|
|Unit 5: Data Management|
|Entire Unit|| |
Collecting Data - tutorial and practice; emphasis on vocabulary of data collection
Create a Graph - use this on-line graph maker to produce a graph in a couple of minute; the resulting graph can be saved as an image to be put into a document or other project
Drawing and Interpreting Graphs - a nine-page tutorial for teachers and advanced students
Reading and Interpreting Graphs - tutorial and practice
Tinkerplots - data and information about Tinkerplots
|Histograms, pp 216-220|| |
A one-page histogram tutorial using Corel Quattro Pro (assumes one already knows how to use Quattro Pro)
Histogram Tool - Create a customized histogram
|Unit 6: Circles|
|Investigating Circles, pp 239-241|| |
Circular Reasoning - a gsp file to explore radius & diameter
|Circumference of a Circle, |
Circles and Pi - in vestigate circle properties and how they relate to "pi"
Investigating Regular Polygons - learn to approximate the value of pi (gsp file)
Where's You Get That Pi? - An activity to learn where "pi" comes from
|Area of a Circle, pp 247-251||Area - a large gsp sketch that reviews areas of all plane shapes, including circles|
|Unit 7: Geometry|
|Angle Properties of Intersecting and Parallel Lines, pp 271-277, pp 284-289|| |
Angle Properties of Parallel Lines and Transversals - an activity using Geometer's Sketchpad
Angle Relationships - An interactive gsp tutorial in which students investigate the relationships known as complementary, supplementary, and vertically-opposite angles.
|Angles in a Triangle, pp 278-282|| |
Exploring Angle Sums - Construct a figure that illustrates the sum of the angles in a triangle, quadrilateral or pentagon
The Sum of All Angles - Investigate the triangle angle-sum conjecture
|Unit 8: Square Roots and Pythagoras|
|Entire Chapter|| |
Proof Without Words - Watch a dynamic, geometric "proof without words" of the Pythagorean Theorem.
Square Root Gizmo - visualize square roots with this handy "gizmo"
Square Root Practice - strictly practice of squares and square roots on sight
Square Roots - information and calculator practice
The Pythagorean Relationship - An activity where students interactively work with the Pythagorean theorem to develop understanding of its principles.
|Unit 9: Integers|
|Comparing and Ordering Integers: p 364|| |
Builder Ted - activity that places integers in numerical order
Temperature Quiz - from the BBC
|Adding Integers, |
|Subtracting Integers, pp 372-376|| |
Color Chips - Subtraction - Use this java applet to drag color chips to visualize subtraction of integers
Subtracting Integers with Counters
|Multiplying Integers, pp 380-384||Multiplying Integers - gsp file to demonstrate integer multiplication|
|Graphing on the Coordinate Grid, pp 393-397|| |
Basic Skills - setting up the grid, plotting and labelling points, drawing shapes - using The Geometer's Sketchpad
Catch The Fly -A "Flash" game to help learn the four quadrants of the Cartesian plane
Coordinate Graphing - directions for plotting in the first quadrant
Lulu - a game where "Lulu" is moved around on the coordinate grid (first quadrant only)ulu - a game where "Lulu" is moved around on the coordinate grid (first quadrant only)
Maze Game - investigate the Cartesian coordinate system by directing a robot through a mine field
|Entire Chapter (Review)||Integers: Exercises with Signed Numbers - practice pages with feedback|
|Unit 10: Algebra|
|Whole Chapter|| |
Algebra Four - play a generalized version of "Connect Four", gaining the chance to place a piece on the board by solving an algebraic equation
National Library of Virtual Manipulatives - explore these activities to extend your algebraic thinking powers
|Whole Chapter|| |
Adjustable Spinners - This tool allows students to create their own spinners and examine the outcomes given a specified number of spins.
Coin Toss - Explore probability concepts by simulating repeated coin tosses
Let's Make a Deal - a java applet based on the TV show: use the applet to see if the odds of winning increase by switching the door
Marbles - simulates an experiment where you remove red, green and blue marbles with or without replacement
Racing Game - One Die - Work in pairs to experiment with the applet's parameters to "see" the effects of each variable on race results.
Racing Game - Two Dice - Similar to the "one die" race; fairly complex
Spinner - A java applet with a spinner shose sector sizes and colors can be adjusted.
Stick or Switch – Investigate probabilities of sticking with a decision, or switching.
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.