Unit 1: Number Patterns

Input/Output Machines, pp69 
Function Machine  from the National Library of Virtual Manipulatives

Number Patterns, pp 1012 
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 
Patterns in Division, pp1315 
Divisibility Rules  from Math Forum, the rules as well as comprehensive explanations for whole numbers from 3 through 13
Divisibility Rules  from VectorKids 
Exploring Integers, pp2022 
Builder Ted  activity that places integers in numerical order
Temperature Quiz  from the BBC 
Unit 2: Whole Numbers 
Exploring and Comparing Large Numbers, pp 3242 
One False Move (click on a random set of numbers in order: 2 levels of play and 3 levels of difficulty; note: harder levels involve decimal numbers)
Base 10 Blocks  number representation patterns with virtual base 10 blocks 
Exploring Multiples, Primes, & Composites, pp 4347 
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. 
Order of Operations, pp 5457 
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 
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Unit 3: Geometry 
Entire Unit 
Angle Guesser  a Geometer's Sketchpad file activity
Drawing a 3D SnapCube Object  Stepbystep explicit directions for students to draw all views of a 3D figure constructed from "snap cubes"
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  premade, 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.
Measuring Angles  Directions sheet explaining how to measure angles using Geometer's Sketchpad
Polygons Sort  a Geometer's Sketchpad file activity
Solid Figures  matching solids and nets 
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Unit 4: Decimals 
Comparing and Ordering Decimals,
pp 121124 
Base 10 Blocks  decimal number representation patterns with virtual base 10 blocks
Rounding Off  a "shockwave" game to practice rounding

Operations with Decimals, pp 132157 
Base 10 Blocks  decimal number representation patterns with virtual base 10 blocks
Fractiondecimal Conversions  3 activities 
Unit 5: Data Management 
Interpreting Data, pp 168171 
Interpreting Graphs  a pdf file from Oxford Press; a vocabularybuilding exercise (teacher reference) 
Finding the Median, pp 172175 
Train Race  a game in which mean, median, and range are compared

Constructing and Interpreting Graphs, pp 178181 
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
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 
Graphing on a Coordinate Grid. pp 186189 
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 
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Unit 6: Measurement 
Surface Area and Voluma of a Rectangular Prism, pp 220227 
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.

Unit 7: Transformational Geometry 
Transformations, pages 248251 
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.
Virtual Manipulatives  explore tessellations, rotations, reflections, and translations  scroll down to the bottom of the page when it opens
What is a tiling? Clear explanation with illustrated examples of various kinds of tilings.

Congruent Figures, pp 256259 
Congruence Quest  Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks

Similar Figures, pp 260266 
Creating Tiling Patterns on a Computer  using Geometer's Sketchpad
Modeling a Pantograph  An advanced activity in which you make a simple model of a pantograph first, followed my more complex investigations and constructions.
Similarity and Congruency  A GSP tutorial about similarity and congruency, showing the tests for, and properties of, similar or congruent shapes 
Rotational Symmetry, pp 270273 
Rotation Symmetry  A tutorial about rotation symmetry, in which students explore through directed examples 
Tiling Patterns, pp 266269 
Creating Tiling Patterns on a Computer  using Geometer's Sketchpad
Floor Tiles  modify a quadrilateral to see if it tiles
Glide Reflect Tiling  Observe and manipulate an example of a glide reflect tiling
Tiling with Fireworks MX  Make tiling designs using a highend graphics program instead of Appleworks
What is a tiling? Clear explanation with illustrated examples of various kinds of tilings. 
Probably Polyhedra, pp 284285 
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. 
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Unit 8: Fractions, Percents, Ratios, and Rates 
Entire Chapter 
Equivalent Fractions  This tool allows students to create equivalent fractions by dividing and shading squares or circles. The fractions are simultaneously displayed on a number line so students can see the relationship between the fractions.
Figure and Ratio of Area  visualize ratios by changing the sizes and area of one shape and comparing it to another
Flowering Fractions  make a whole given fractional flowers
Fraction Bars  Explore equivalent fractions, ordering fractions, adding fractions, and more
Fraction Tutorials  seventeen (17) tutorials on all kinds of fraction topics
Gear Inch & Shifting Pattern Calculator  a reallife application of ratio, using cycling gear information
The Meaning of Ratio  interactive interpretations of 2term ratios
Pattern Blocks  explore fractions using virtual pattern blocks
Percentages – Discover relationships between fractions, percents, and decimals
Shade In  Learn about fractions of a whole, and equivalent fractions, by shading in the diagram and checking your work on line.

Unit 9: Perimeter, Area, and Volume 
Perimeter, pp 342349 
Perimeter Explorer  Java applet designed to explore perimeter using a grid
Shape Explorer  Java applet designed to explore both perimeter and area using a grid 
Area of a Parallelogram, pp 352354 
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 355361 
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.
Constructing a Triangle Given the Area  Use Geometer's Sketchpad to discover you can easily construct a triangle with a given area, then investigate whether noncongruent triangles can have equal areas. 
Unit 10: Patterns in Number and Geometry 
Whole Chapter 
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.
Simple Plot  plot ordered pairs of numbers, either as a scatter plot or with the dots connected.
Ordered Simple Plot  another version of "Simple Plot" which allows the user to plot and connect ordered pairs in the order that they are input: this enables pictures to be drawn by connecting pairs rather than having the computer connect them from left to right. 
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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