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Curriculum Services - Elementary
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 The Pearson Math Makes Sense Supplements Page - Grade 7
Grade 7
Other Pages
Jump to a chapter:
Unit 1: Patterns in Whole Numbers Unit 2: Ratio and Rate
Unit 3: Geometry and Measurement Unit 4: Fractions and Decimals
Unit 5: Data Management Unit 6: Measuring Perimeter and Area
Unit 7: Geometry Unit 8: Working with Percents
Unit 9: Integers Unit 10: Patterning and Algebra
Unit 11: Probability  

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

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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.

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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
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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.
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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.
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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
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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.

Spooky Sequences - square numbers
Spooky Sequences - triangular numbers
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.

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Gr 3 Supplementary Resources

Gr 4 Supplementary Resources

Gr 5 Supplementary Resources
Gr 6 Supplementary Resources
Gr 8 Supplementary Resources



Contact

Teachers are invited to submit websites or queries about these pages to William Lundy, SETS, wlundy@hpedsb.on.ca

 

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© Hastings and Prince Edward District School Board, 2007. All rights reserved.
Last Modified: Wednesday, 09-Jan-2008 15:59:52 Eastern Standard Time
This document was printed from www.hpedsb.on.ca

Hastings and Prince Edward District School Board
156 Ann Street, Belleville, Ontario Canada K8N 3L3
Toll-free: +1 800 267-4350
Phone: +1 613 966-1170
Fax: +1 613 961-2003

© Hastings and Prince Edward District School Board
2007 All rights reserved