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Postsecondary Math
Lending Library

Math 7, Alberta Curriculum

(Free Resources)

Alberta Program Overview

Specific Units and Program of Studies

Click on the many "Specific Unit" links to gain access to additional practice.

More Resources

Look up Mathematical Terms: Glossary

Project Ideas

Lessons and Challenges

Grade 7 and 8 Mathematics - University of Waterloo, The Centre for Education

University of Waterloo - Grade 7 Gauss Competition

Various Lessons


Math and Coding Help Improve Focus and Problem Solving Skills
Learn Coding with MIT Scratch 3.0

Alberta Math News Math experts say Alberta curriculum needs to be rethought

Alberta Education has "dumbed down" math curriculum, says U of A's Porteous

As new school curriculum looms, Alberta parents say math woes unresolved

Isn't a decade of declining test scores enough to show 'discovery math' isn't working?

Changes coming to Alberta’s math curriculum in 2018
Shortcuts to Topics   CONTENTS:
Absolute Values
Divisibility, Primes, Composites and Factoring
Numbers and Operations, Percents, Ratios
Rational Numbers
Statistics and Probability Unit
Online Practice:


In Person...

Math Nite will be running every Wednesday from 6pm-8pm in MS-431 at the University of Calgary, from the following dates:
September 20th, 2017 to December 6th,
2017 January 17th, 2018 to April 11th, 2018.
More detailed information about Math Nite can be found here:

See also the JAMES Mathematics Circle.

Math Makes Sense 7 (PDF)

Common Issues

Brilliant kids, but getting questions wrong because of computational errors, here are some solutions:

1. Using Graph paper will help lining up the numbers correctly for additions, subtractions, multiplication and long division.

2. For the type of problems that are typical for computational errors, it is important for the student to acknowledge the drill is all about focus, not smarts.

3. Students should double check their work.


Math Challenges & Puzzles

Single Cut triangle

Polyomino Oddities

Fold and Cut Theorem


Absolute Values

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Absolute Values

Comparing Absolute Values

Absolute value practice on IXL

Theory on Math is Fun,

Absolute Value Quizzes on mathopolis


The absolute value of a number is relevant when the number has a sign, in which case the sign is removed and all that is left is the number in its positive form. Thus -4 becomes 4, -125 becomes 125 and so on. If the number is positive, the absolute value operation has no effect.

The notation for absolute numbers is two vertical bars, used like brackets, examples:
| -4 | = 4

| -125 | = 125

| + 59 | = 59

| 8 | = 8



Numbers and Operations, Percents, Ratios

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Numbers and Operations


Ratios and Proportions

Ratios and Scale Factors (PLIX)

Multiplying Decimals

Dividing Decimals

Decimals - Self grading quiz (on Math Links 7)


Percents - Self Grading Quiz 1

Percents - Self Grading Quiz 2



Add and Subtract Negative & Positive Integers

Negative Numbers Using PILES AND HOLES


Negative Numbers (press Ctrl F on this page and search for Negative)




Statistics and Probability

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Statistics and Probability

Reading Material and PLIX




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Book: free PDF Download

Prequel to Equations, introduce pronumeral
NUMBER AND ALGEBRA Module 23 A guide for teachers - Year 7 June 2011

Hands on...

Card games: match the linear equation with its graph and more...


Equation worksheets and answers  
Algebra Basics: Solving Basic Equations Part 1 - Math Antics
worksheets and answers  
Algebra Basics: Solving Basic Equations Part 2 - Math Antics
  Solving Linear Equations using the Bar Method



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Geometry Various Topics
Self grading quiz (on Math Links 7
GeoGebra Area of Quadrilaterals
Quadrilaterals on mathisfun
Area of Parallelograms
Geometry and Measurement


Various Geometry Lessons
  Perpendicular Bisectors
Practice: Construct a Perpendicular Line 
Practice: Construct Parallel Lines
Diagonals in Quadrilaterals
Circle Lessons
Circle Terminology
Drawing Circles
  Applications of Circles
  Practice: Semicircles: calculate area, perimeter, radius and diameter


Angle Bisectors, Practice

Points, Lines, and Angles
Hands on Angle Ideas
Hands on Angles Experiment with an Angles' (PLIX)

The sum of all angles in a quadrilateral (PLIX)

Practice: Construct a Congruent Angle
Geometry Worksheets




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Super cool “Graphing Stories” lessons  
more great graphing
Self grading quiz (on Math Links 7)


Divisibility, Primes, Composites and Factoring

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Web applet to check is numbers are prime. The applet also shows the prime factorization for the input number.
Divisibility quick methods   Quick ways to determine divisibility:

A number is divisible by 2 if it terminates with 2, 4, 6, 8, or 0.
A number is divisible by 3 if the sum of its digits is divisible by 3.
A number is divisible by 4 if the last two digits are divisible by 4.
A number is divisible by 5 if it terminates with 5 or 0.
A number is divisible by 6 if it is divisible by both 2 and 3.
A number is divisible by 8 if the last three digits are divisible by 8.
A number is divisible by 9 if the sum of digits is divisible by 9.
A number is divisible by 10 if it terminates with 0.
Factoring Numbers into Primes (app)

Divisibility Rules
Divisibility - Self Grading Quiz Questions
Multiples of a Number (Lesson and Practice)
Factors of a Number (Lesson and Practice)
Prime Factorization
The GCF (Greatest Common Factor)



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Worksheets (Unlike Denominators):

Lesson Series:   Fraction Splats
Comparing Fractions (Lesson and Practice)
Comparing Negative Fractions
Fractions worksheet (find the answers here).
Describing Fractions as Decimals (Lesson and Practice)
Equivalent Fractions
Multiplying Fractions
Dividing Fractions
Fractions - Self Grading Quiz on Math Links 7



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Lessons and Practice

Patterns and Relations Lessons on Khan Academy

Examples, video lecture

Lesson: Growing Patterns
Visual Patterns
Hexagonal Number Pattern
see also
Patterns Practice on IXL   Write equations for proportional relationships from tables

Patterns & Relations - Variables & Equations:
        Write and solve equations for proportional relationships

        Write variable expressions for arithmetic sequences

        Write a two-variable equation

Patterns and Relationships
on Nelson
self grading quizzes
  Select from several self grading quizzes on Nelson.


Rational Numbers

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Definition: Rational Numbers: Do not think "rational" as in logical. Think as in "ratio", a.k.a. fraction.
Rational numbers as such that can be accurately reverse engineered from their decimal form back into their fraction, or rather ratio - and thus are rational. Any decimal number with a finite number of digits is such, and any decimal with a group of digits that infinitely repeat after the decimal point is also such.

Definition: Irrational Numbers:   Irrational is the opposite of Rational. That is you cannot accurately reverse engineer from the decimal form back to a parent ratio (or fraction) - and thus such number is not rational, or we say it is rather irrational.
You can create a fraction that is an approximation of that decimal, but it will not be an exact value and when reverting the fraction back into decimal you may get a somewhat different rounding than the one you started with.

How do Irrationals look like typically?
Irrational numbers appear as decimals with an infinite number of digits that do not repeat, and cannot be predicted. Such decimal number was most likely accomplished via a division that never stopped, and you were forced to round up so you can stop dividing.
An example is Pi = π = 3.14159.... π  is calculated via the division of any circle's circumference by its diameter. Another example is e, Euler's number, the same e as seen in natural logarithms.
Read more about irrational numbers here.

The problem is how do we know that a number is truly irrational and it's not that we just gave up to soon on the steps of a division?
The number e bears Euler's name because he was the first to prove the number has an infinite number of decimals and there is no pattern of repetitions, and thus is irrational.

Rational Numbers
Lessons and Practice
  Lesson 1:

Lesson 2:
Comparing Rational Numbers
Repeating groups of decimals are called:

  periodic Examples:
1 repeating digit: 0.3333333...
2 repeating digit: 0.373737....
5 repeating digit: 0.123451234512345.......

Reverse engineer decimals into fractions
(rational numbers):
  finite decimals Step 1: Count the number of digits after the decimal point. Let's call that number: n.
Step 2: Remove the decimal point and place the resulting number above the fraction line.
Step 3: Then place
              below the fraction line.
Step 4: Simplify the resulting fraction as far as possible but do not execute a division.

    infinite but periodic decimals  


Additional Resources

Curriculum options, organized by day...

Grade 7 Worksheets (+answers and automated tests)

Math Games

7th Grade, Lessons

7th Grade Math (accelerated) Course

7th Grade Lessons and PLIX

Math Art : Pi Skyline

Math Links 7 - Self Grading Chapter Quizzes

University of Waterloo - Grade 7 "Wired Math" Additional Challenge Exercises

CEMC - Web Resources - Problem of the Week - University of Waterloo (scroll down for "Current Problem Archive 2018-2019", solutions available as well)

University of Waterloo - Math Circles Presentations


Stuck with Homework?

Submit a grade 7 homework question!


Provincial Achievement Tests

PAT tests happen every other year in Alberta. Grade 7 is not included.


Math in Calgary

CBE on Math (check out the links at the bottom of that page).

Alberta Distance Learning, Math

University of Calgary, Contests



Gauss Mathematics Contests, for Grades 7-8

AMC 8 for middle school students



Math Books

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Coding with MIT 3.0 Scratch



Extras for Fun


The sound of π

Digit transitions of a number





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