## Grade 8 Mathematics

• Math Makes Sense Supplements and MORE!

Math Homework Help

Number Sense and Operations

Algebra

Geometry

Measurement

Data Analysis and Probaility

Self-Assessments - Try some quizzes by yourself and see how you do.

Unit 1: Numbers, Variables, and Equations

Understanding Exponents,
page 6

Algebra Exponents - a tutorial and quiz on line for additional review and practice

Another exponent tutorial and quiz

Tic Tac Toe Squares - practice squares, cubes, or square roots on sight

Prime Factors,
pp 14-18
 Coloring Multiples in Pascal's Triangle - color numbers in Pascal's Triangle by rolling a number and then clicking on all entries that are multiples of the number rolled Factorize and Factorize 2 - two activities to learn about factors through building rectangular arrays on a grid. Factors & Prime Numbers - Teaches the definitions of product, factor, prime number, composite number, prime factorization and how to do prime factorization using a factor tree. Factors of Whole Numbers - a game to practice greatest common factors Grid Game - a "shockwave" game to practice factors, multiples, and primes. The Product Game - a fun interactive game that exercises your skill with factors and multiples. Tic Tac Toe Squares - practice square roots on sight
Order of Operations,
pp 25-28
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,
pp 29-32
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,
pp 102-105
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
Fractions,
pp 134-164

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

Interpreting Graphs - a pdf file from Oxford Press; a vocabulary-building exercise.
Quattro Pro 10 Tutorials - a series of tutorials and help sheets

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,
pp 242-246

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

pp 368-371
 Circle 0, Circle 21, Circle 99 - three java applets involving the addition of positive and negative numbers (scroll down the page once you get there, to find the links) Color Chips - Addition - Use this java applet to drag color chips to visualize addition of integers Integer Addition - A gsp file to help you visualize adding integers with a number line Line Jumper Activity - solve + and - integer problems using the number line
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

Unit 11:Probability
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.