Unit 1: Number Patterns
|
| Input/Output Machines, pp6-9 |
Function Machine - from the National Library of Virtual Manipulatives
|
| Number Patterns, pp 10-12 |
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, pp13-15 |
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, pp20-22 |
Builder Ted - activity that places integers in numerical order
Temperature Quiz - from the BBC |
| Unit 2: Whole Numbers |
| Exploring and Comparing Large Numbers, pp 32-42 |
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 43-47 |
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 54-57 |
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 |
| Top of page |
|
| Unit 3: Geometry |
| Entire Unit |
Angle Guesser - a Geometer's Sketchpad file activity
Drawing a 3D Snap-Cube Object - Step-by-step 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 - 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.
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 |
| Top of page |
|
| Unit 4: Decimals |
Comparing and Ordering Decimals,
pp 121-124 |
Base 10 Blocks - decimal number representation patterns with virtual base 10 blocks
Rounding Off - a "shockwave" game to practice rounding
|
| Operations with Decimals, pp 132-157 |
Base 10 Blocks - decimal number representation patterns with virtual base 10 blocks
Fraction-decimal Conversions - 3 activities |
| Unit 5: Data Management |
| Interpreting Data, pp 168-171 |
Interpreting Graphs - a pdf file from Oxford Press; a vocabulary-building exercise (teacher reference) |
| Finding the Median, pp 172-175 |
Train Race - a game in which mean, median, and range are compared
|
| Constructing and Interpreting Graphs, pp 178-181 |
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 |
| Graphing on a Coordinate Grid. pp 186-189 |
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 |
| Top of page |
|
| Unit 6: Measurement |
| Surface Area and Voluma of a Rectangular Prism, pp 220-227 |
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 248-251 |
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 256-259 |
Congruence Quest - Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks
|
| Similar Figures, pp 260-266 |
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 270-273 |
Rotation Symmetry - A tutorial about rotation symmetry, in which students explore through directed examples |
| Tiling Patterns, pp 266-269 |
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 high-end graphics program instead of Appleworks
What is a tiling? Clear explanation with illustrated examples of various kinds of tilings. |
| Probably Polyhedra, pp 284-285 |
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. |
| Top of page |
|
| 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 real-life application of ratio, using cycling gear information
The Meaning of Ratio - interactive interpretations of 2-term 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 342-349 |
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 352-354 |
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 355-361 |
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 non-congruent 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 6-sided number cubes or design your own number cubes. |
| Top of page |
|