Grade 4 Mathematics

Unit 1: Number Patterns

Number Patterns, pages 6-16

Attribute Trains (learn about shape and color patterns by completing trains of blocks)

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 4)
Sequences (work out the next two terms, plus other terms, then figure out the rule for the sequence)

Unit 2: Whole Numbers
Rounding, pages 33-36 Rounding to the nearest 10 (matching or concentration games, or flash cards)
Comparing and Ordering Numbers, pp 37-39 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)
Estimating Sums and Differences, pp 40-42 and pp 51-52 Base 10 Blocks - explore addition and subtraction patterns with virtual base 10 blocks
Adding; with 3- and 4-digit addends, pp 43-50 Tic Tac Toe Squares (choose the "Hard" level for mainly 3-digit addends; "Super Brain" for mostly 4-digit addends)
Unit 3: Geometry
Congruent Figures, pp 70-72

Congruent Triangles (build pairs of congruent triangles by assembling combinations of sides and angles)

Pantograph - this applet shows a virtual pantograph which makes an enlargement (similar figure) of whatever is sketched

Exploring Angles, pp 73-76

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.

Quadrilaterals, pp 81-92

Two Geometer's Sketchpad activities about quadrilaterals (designed to be used one after another, and will introduce students to the programme as well) ( .gsp files - should be saved to your hard drive before using)

Using a Computer to Explore Pentominoes, pp 96-98

Pentominoes (solve pentomino puzzles)

Pentominoes (learn about Pentominoes; solve puzzles; gsp file)
Pentominoes - Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks

Solids, pp 99-106 The Platonic Solids (view virtual solids and manipulate them; including viewing as nets)
Unit 4: Multiplication and Division
Skip Counting, pp 120-122

Counting Even Numbers

Counting Odd Numbers by Twos

Counting by Fives

Counting by Tens

Multiplication & Division facts, entire chapter

A+ Math On-line games - play "Math-O", "Hidden Picture", and "Concentration" to practice multiplication and division facts.

Base 10 Blocks - explore multiplication and division patterns with virtual base 10 blocks

Math Baseball - choose your facts and level, then "play ball"

Math Journey - Travel around the world by answering math problems (multiplication and division; various topics and levels).

Multiplication Mystery - practice facts to 9x9 and reveal the hidden picture

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)

Spacey Math - Use this interactive site to practice multiplication and division facts.

Unit 5: Data Management
Reading Graphs, pp 170-176

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)

Drawing Pictographs, pp 177-180

Animal Pictograph - a lesson plan for teachers: using KidPix

Making Bar Graphs, pp 187-189

About Spreadsheets - a Quattro Pro tutorial explaining some of the vocabulary of spreadsheets

Bar Graphs - Alternate Activity to the text activity, using Quattro Pro instead of Graphers

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

Unit 6: Measurement
Units of Time, pp 200-212

Bang On Time - try to match the time expressed in words with the clock face

Clock Wise - Java applet to practice reading a clock

Elapsed Time - Java applet to practice elapsed time

How Many Times? - A problem based on digital clock displays

Learning About Time - learn how to tell the time and how to set a clock to a specific time

Stop the Clock - Drag the digital or written time to match the analog clock, with varying levels:

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 217-219 Change Maker - Figure out how many of each bill or coin that you expect to get back when you pay for something.
Unit 7: Transformational Geometry
Whole chapter

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).

Practising Tessellations - a gsp file with built-in directions to learn the steps of creating tessellations with GSP

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

Transformations on a Computer, pp 255-257 Transformations - Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks
Unit 8: Fractions and Decimals
Fractions of a Whole, Sets, and Ordering Fractions, pp 272 - 290

Flowering Fractions - make a whole given fractional flowers

Fraction Bars - Explore equivalent fractions, ordering fractions, adding fractions, and more

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.

Unit 9: Length, Perimeter, and Area
Whole Chapter

Decide the Distance - read a ruler in mm or cm

What's My Length - use a 15 cm ruler to do various things

Area of Rectangles Area Schmarea! A Geometer's Sketchpad activity to discover the formula for calculating the area of a rectangle ( .gsp file - save to your hard drive before using)
Unit 10: Patterns in Number and Geometry
Whole Chapter

Attribute Train - identify the pattern, then fill in the rest of the train

Base 10 Blocks - explore multiplication and division patterns with virtual base 10 blocks

Creating Patterns on a Computer - Alternate activity to the text activity, using Geometer's Sketchpad instead of Appleworks

Java Kali - Kali is a program that lets you draw symmetrical patterns based on any of the 17 wallpaper groups, as well as several frieze and rosette groups - be sure to read the instructions before using

Pattern Blocks - explore polygons using virtual pattern blocks

Unit 11:Probability
Whole Chapter

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.

Stick or Switch – Investigate probabilities of sticking with a decision, or switching.