Unit 1: Patterns in Whole Numbers

Rounding, pp 67 
Rounding Off  a "shockwave" game to practice rounding

Divisibility Rules, p 9 
Divisibility Rules  from Math Forum, the rules as well as comprehensive explanations for whole numbers from 3 through 13 
Factors and Multiples, pp 1418 
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 

Squares and Square Roots, pages 1921 
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 
Exponents, pages 2326 
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 
Number Patterns, pages 2831 
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
Interactive Pascal's Triangle  an interactive version of Pascal's Triangle that let's you specify the number of rows.
Pascal's Triangle  what it is, how to make it, and further links to learn about it
The Twelve Days of Christmas and Pascal's Triangle  Using Pascal's triangle, find the number of items given each day in the song, "The 12 Days of Christmas." 
Unit 2: Ratio and Rate 
Greatest Common Factor, pages 4244 
Factor Tree  type in factors to find prime factors
Factors of Whole Numbers  a game to practice greatest common factors 
Ratios, Rates, Proportions, pages 45  65 
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 reallife application of ratio, using cycling gear information
The Meaning of Ratio  interactive interpretations of 2term ratios 
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Unit 3: Geometry and Measurement 
3D Geometry, pp 7892 
Paper Models of Polyhedra  more than eighty paper models available for free  select and download individual polyhedra.
The Platonic Solids (view virtual solids and manipulate them; including viewing as nets)
Solid Figures  matching solids and nets
Studying Polyhedra  Introduction of the concept, links, great applet illustrating the 5 regular polyhedra.
Surface Area & Volume  Students manipulate dimensions of polyhedra, and watch how the surface area and volume change. Parameters: Type of polyhedron, length, width and height.
The volume of a box  The volume of a box can be determined by using this applet to manipulate and count unit cubes, rows of unit cubes, or layers of unit cubes. 
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Unit 4: Fractions and Decimals 
Adding, Subtracting, and Multiplying Fractions, pages 116143 
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  Highquality 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. 
Multiplying and Dividing Decimals, pages 145152 
Base 10 Blocks  decimal number representation patterns with virtual base 10 blocks
Fractiondecimal Conversions  3 activities 
Unit 5: Data Management 
Mean, Median, and Mode, page 168 
Train Race  a game in which mean, median, and range are compared 
Data Collection and Display, pp 169192 
Collecting Data  tutorial and practice; emphasis on vocabulary of data collection
Create a Graph  use this online 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
Data Picking  Gather data to produce a frequency table; select a graph that matches your data
Displaying Data  tutorial and practice, including stem and leaf plots Drawing and Interpreting Graphs  a ninepage tutorial for teachers and advanced students
Interpreting Graphs  a pdf file from Oxford Press; a vocabularybuilding 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 
Using Spreadsheets, pp 193197 
Quattro Pro 10 Tutorials  a series of tutorials and help sheets 
Mean, Median, and Mode: Applications of Measures of Central Tendency, pages 198201 
Train Race  a game in which mean, median, and range are compared 
Data Analysis, pages 202205 
Distribution of Data  tutorial and practice 
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Unit 6: Measuring Perimeter and Area 
Area of a Parallelogram, pages 216220 
Area and Perimeter  describe patterns and generalize the relationships by determining the areas and perimeters of quadrilaterals and the areas and circumferences of circles.
Area of a Parallelogram A gsp file to help you visualize how the area of a parallelogram can be calculated without learning a new formula.
Areas of Parallelograms and Triangles This gsp file shows the relationships between the areas of parallelograms and triangles, with rectangles, and leads students to understanding the formulae. 
Area of a Triangle, pages 216220 
Area of a Triangle  describe patterns and generalize relationships by determining the areas and perimeters of triangles.
Areas of Parallelograms and Triangles This gsp file shows the relationships between the areas of parallelograms and triangles, with rectangles, and leads students to understanding the formulae. 
Area and Perimeter of a Trapezoid, pages 226230 
Trapezoids  Constructing, and Area  A tutorial that (a) compares sketching with constructing, and (b) has students develop a method of determining the area of a trapezoid. 
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Unit 7: Geometry 
Congruent Figures, pages 255259 
Congruence Quest 
Congruent Shapes  a tutorial using Geometer's Sketchpad
Similarity and Congruency  A GSP tutorial about similarity and congruency, showing the tests for, and properties of, similar or congruent shapes 
Transformations, pages 261265 
Exploring Rotations  Activity from the GSP manual, "Geometry Activities for Middle School"  an excellent introduction to transformations.
Exploring Translations  Activity from the GSP manual, "Geometry Activities for Middle School"  an excellent introduction to transformations.
Glide Reflect Tiling  Observe and manipulate an example of a glide reflect tiling
Mirrors and Reflections  Activity from the GSP manual, "Geometry Activities for Middle School"  an excellent introduction to transformations.
Practising Tessellations  a gsp file with builtin directions to learn the steps of creating tessellations with GSP
Rotated Tessellations  Directions to turn an equilateral triangle into a really cool hexagonal design using rotations.
Virtual Manipulatives  explore tessellations, rotations, reflections, and translations  scroll down to the bottom of the page when it opens
What are Tessellations?  a wellillustrated tutorial about regular and semiregular tessellations, in plain language
What is a tessellation? Lengthy definition with examples; also, how tessellations are named (or numbered). 
Tiling Patterns, pp 266269 
What is a tiling? Clear explanation with illustrated examples of various kinds of tilings. 
Using Transformations to Make Designs, pages 270277 
Rotated Tessellations  Directions to turn an equilateral triangle into a really cool hexagonal design using rotations. 
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Unit 8: Working with Percents 
Entire Chapter 
Percent Review: displaying percents, converting, estimating percents
Percentages – Discover relationships between fractions, percents, and decimals (scroll down the page once you get there, to find the link). 
Unit 9: Integers 
General: pages 327336 
Builder Ted  activity that places integers in numerical order
Temperature Quiz  from the BBC 
Adding Integers, pages 337344 
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, pages 351355 
Color Chips  Subtraction  Use this java applet to drag color chips to visualize subtraction of integers 
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Unit 10: Patterning and Algebra 
Order of Operations review, page 366 
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

Graphing on a Coordinate Grid review, page 367 
Simple Coordinates Game  investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. 
Simple Maze Game  investigate the first quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane. 

Number Patterns, pages 368372 
Function Machine  To solve this problem, you must work out how to continue the sequence of numbers  drag the operators into the boxes on the function machine to help. Also available as 2 step and 1 step puzzles, for those of you who prefer to solve simpler math problems.
Sequences  Work out the 4th, 5th, 10th, 20th and nth terms in a number sequence.

Evaluating Expressions, pages 383386 
Substitution  Evaluate the expressions by substituting numbers for letters. 
Reading and Writing Equations, pages 387389 
Lesson on Writing Algebraic Equations  tutorial with online practice 
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 6sided number cubes or design your own number cubes. 
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