Unit 1: Number Patterns |
Number Patterns, pages 6-21 | Interactive Hundred Square (make a 100 square, then identify patterns made by multiples of various numbers) Number Cracker (identify the missing number in the series; involves some negative numbers) Patterns (identified as "7th grade"; enrichment-level for grade 5) Sequences (work out the next two terms, plus other terms, then figure out the rule for the sequence) |
Unit 2: Whole Numbers |
Representing, Comparing and Ordering Numbers, pp 28-30 | Base 10 Blocks - number representation patterns with virtual base 10 blocks 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) |
Adding 3- and 4-digit numbers and using 3 addends, pp 34-40 | Base 10 Blocks - addition patterns with virtual base 10 blocks Tic Tac Toe Squares (choose the "Hard" level for mainly 3-digit addends; "Super Brain" for mostly 4-digit addends) |
Subtracting with 4-digit numbers, pp 44-46 | Base 10 Blocks - subtraction patterns with virtual base 10 blocks |
Multiplication and Division Facts to 144, pp 47-49 | Multiplication Tables (using 1 through 12; matching or concentration games, or flash cards) Multiplication Facts Review (using 1 through 10; matching or concentration games, or flash cards) Multiplication Practice - for all combinations from 0*0 to 12*12 |
Multiplying with Multiples of Ten, pp 52-54 | Multiplication by tens - an on-line tutorial with practice Multiplying hundreds - an on-line tutorial with practice |
Unit 3: Geometry |
Naming and Sorting Polygons, pp 80-83, 90-93 | Geometry Terminology - a "concentration"-style matching game Investigating the Properties of Quadrilaterals - The two activities are designed to be used one after the other, and to introduce students to Geometer's Sketchpad. Both are .gsp files that should be saved before using. Polygons Sort - A tutorial designed to have students learn the properties of common polygons. Triangle Town - A tutorial about the types of triangles, including some problem-solving activities that apply knowledge about triangle properties. |
Measuring and Constructing Angles, pp 84-87 | Angle Estimator (Decide which angle is the same as the one drawn by the computer.) Banana Hunt - Drag the monkey to hunt for bananas by estimating angle sizes - the closer your estimate, the more bananas the monkey gets. |
Constructing Triangles, pp 94-97 | Constructing an Equilateral Triangle - an activity using "Geometer's Sketchpad" |
Making Nets, pp 98-101 | 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) |
Unit 4: Decimals |
Tenths and Hundredths, pp 114-117 | Base 10 Blocks - explore multiplication and division patterns with virtual base 10 blocks |
Equivalent Decimals; Comparing & Ordering Decimals, pp 118-123 | Base 10 Blocks - decimal number representation patterns with virtual base 10 blocks |
Unit 5: Data Management |
Reading Graphs, pp 156-159 | 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 (teacher reference) |
Creating Spreadsheets, pp 163-165 | Creating Spreadsheets - Alternate Activity to the text activity, using Quattro Pro instead of Appleworks |
Drawing Bar Graphs, pp 166-168 | Bar Grapher - This tool allows students to create a customized bar graph as well as display pre-set bar graphs. Create a Graph Classic - 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 Circle and Bar Graphs, pp 169-171 | Creating Circle (Pie) and Bar Graphs - Alternate Activity to the text activity, using Quattro Pro instead of Appleworks |
Drawing Line Graphs, pp 176-177 | Creating Line Graphs - Alternate Activity to the text activity, using Quattro Pro instead of Appleworks |
Unit 6: Measurement |
Measuring Time, pp 194-196 | How Many Times? - A problem based on digital clock displays Take the Right Angle - How many times in twelve hours do the hands of a clock form a right angle? Use this interactive site to find out. Tools for Teaching and Learning About Time - use the real time in this website to compare analog and digital clock times (teacher resource) |
Making Change, pp 205-207 | Change Maker - Figure out how many of each bill or coin that you expect to get back when you pay for something. |
Volume, pp 210-212 | Cubes - The volume of a box can be determined by using this applet to manipulate and enumerate unit cubes, rows of unit cubes, or layers of unit cubes. |
Unit 7: Transformational Geometry |
Transformations, pp231-234 | 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. 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 tiling? Clear explanation with illustrated examples of various kinds of tilings. What is a tessellation? Lengthy definition with examples; also, how tessellations are named (or numbered). |
Using a Computer to Explore Congruent Figures, pp 238-240 | Congruence Quest - Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks |
Line Symmetry, pp 241-243 | Mirror Tool - This Java applet helps students investigate symmetry. Mirrors can be used to create reflection symmetry. |
Exploring Tiling, pp 247-249 | Floor Tiles - modify a quadrilateral to see if it tiles Tessellate! - - modify various plane shapes to see if they will tile What is a tiling? - Clear explanation with illustrated examples of various kinds of tilings. |
Unit 8: Fractions and Decimals |
Whole 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. 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 Pattern Blocks - explore fractions using virtual pattern blocks Shade In - Learn about fractions of a whole, and equivalent fractions, by shading in the diagram and checking your work on line. Fractions and Decimals 1 - Counting Fractions with Pizza Chef Pete
Fractions and Decimals 2 - Frogs at the Fair: Counting Decimals (Tenths)
Fractions and Decimals 3 - An Alien Party - Fraction and Decimal Match Up |
Unit 9: Length, Perimeter, and Area |
Relating Units of Measure, pp 311-313 | Decide the Distance - read a ruler in mm or cm What's My Length - use a 15 cm ruler to do various things |
Measuring and Calculating Perimeter & Circumference, pp 316-330 | Area Explorer - Java applet designed to explore area and perimeter (focusing on area) using a grid 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 |
Unit 10: Patterns in Number and Geometry |
Whole Chapter | Attribute Train - identify the pattern, then fill in the rest of the train Creating Tiling Patterns on a Computer - Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks Floor Tiles - modify a quadrilateral to see if it tiles Pattern Blocks - explore polygons using virtual pattern blocks Tessellate! - modify various plane shapes to see if they will tile Tiling with Fireworks MX - Alternate activity to the text activity, using a high-end graphics program instead of Appleworks What is a tiling? Clear explanation with illustrated examples of various kinds of tilings. |
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 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. |