Unit 1: Patterns in Whole Numbers
|
| Rounding, pp 6-7 |
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 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 |
|
| Squares and Square Roots, pages 19-21 |
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 23-26 |
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 28-31 |
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 42-44 |
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 real-life application of ratio, using cycling gear information
The Meaning of Ratio - interactive interpretations of 2-term ratios |
| Top of page |
|
| Unit 3: Geometry and Measurement |
| 3-D Geometry, pp 78-92 |
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. |
| Top of page |
|
| Unit 4: Fractions and Decimals |
| Adding, Subtracting, and Multiplying Fractions, pages 116-143 |
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. |
| Multiplying and Dividing Decimals, pages 145-152 |
Base 10 Blocks - decimal number representation patterns with virtual base 10 blocks
Fraction-decimal 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 169-192 |
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
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 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 |
| Using Spreadsheets, pp 193-197 |
Quattro Pro 10 Tutorials - a series of tutorials and help sheets |
| Mean, Median, and Mode: Applications of Measures of Central Tendency, pages 198-201 |
Train Race - a game in which mean, median, and range are compared |
| Data Analysis, pages 202-205 |
Distribution of Data - tutorial and practice |
| Top of page |
|
| Unit 6: Measuring Perimeter and Area |
| Area of a Parallelogram, pages 216-220 |
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 216-220 |
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 226-230 |
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. |
| Top of page |
|
| Unit 7: Geometry |
| Congruent Figures, pages 255-259 |
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 261-265 |
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 built-in 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 well-illustrated tutorial about regular and semi-regular tessellations, in plain language
What is a tessellation? Lengthy definition with examples; also, how tessellations are named (or numbered). |
| Tiling Patterns, pp 266-269 |
What is a tiling? Clear explanation with illustrated examples of various kinds of tilings. |
| Using Transformations to Make Designs, pages 270-277 |
Rotated Tessellations - Directions to turn an equilateral triangle into a really cool hexagonal design using rotations. |
| Top of page |
|
| 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 327-336 |
Builder Ted - activity that places integers in numerical order
Temperature Quiz - from the BBC |
| Adding Integers, pages 337-344 |
| 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 351-355 |
Color Chips - Subtraction - Use this java applet to drag color chips to visualize subtraction of integers |
| Top of page |
|
| 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 368-372 |
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 383-386 |
Substitution - Evaluate the expressions by substituting numbers for letters. |
| Reading and Writing Equations, pages 387-389 |
Lesson on Writing Algebraic Equations - tutorial with on-line 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 6-sided number cubes or design your own number cubes. |
| Top of page |
|