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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

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
Equations
Fractions
Geometry
Graphing
Numbers and Operations, Percents, Ratios
Patterns
Rational Numbers
Statistics and Probability Unit
   
Nelson,
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: http://www.math.ucalgary.ca/community_outreach/math_nite

See also the JAMES Mathematics Circle.

Pearson
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

 

Definition
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

Expressions

Ratios and Proportions

Ratios and Scale Factors (PLIX)

Multiplying Decimals

Dividing Decimals

Decimals - Self grading quiz (on Math Links 7)

Percents

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

 

 

Equations

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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
Equations:
worksheets and answers
http://www.algebra4children.com/pre-algebraworksheets.html  
Algebra Basics: Solving Basic Equations Part 2 - Math Antics
  Solving Linear Equations using the Bar Method   https://www.tes.com/teaching-resource/solving-linear-equations-using-the-bar-method-11000712
       
       

 

Geometry

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Geometry Various Topics http://www.mathsisfun.com/geometry/index.html
     
Self grading quiz (on Math Links 7   http://highered.mheducation.com/sites/0070988595/student_view0/chapter3/study_quiz.html
 
GeoGebra Area of Quadrilaterals
     
Quadrilaterals on mathisfun   http://www.mathsisfun.com/quadrilaterals.html
     
Area of Parallelograms   https://illuminations.nctm.org/lesson.aspx?id=1882

  

Various Geometry Lessons https://courseware.cemc.uwaterloo.ca/27?gid=73
Triangles   https://courseware.cemc.uwaterloo.ca/27/73/assignments/568/0
  Practice  
https://ca.ixl.com/math/grade-7/construct-an-equilateral-triangle-or-regular-hexagon
       
  Perpendicular Bisectors   https://courseware.cemc.uwaterloo.ca/27/73/assignments/570/0
Practice: Construct a Perpendicular Line

https://ca.ixl.com/math/grade-7/construct-a-perpendicular-line 
       
Practice: Construct Parallel Lines

https://ca.ixl.com/math/grade-7/construct-parallel-lines
       
  Quadrilaterals   https://courseware.cemc.uwaterloo.ca/27/73/assignments/574
Diagonals in Quadrilaterals https://courseware.cemc.uwaterloo.ca/27/73/assignments/576/0
  Polygons   https://courseware.cemc.uwaterloo.ca/27/73/assignments/573
       
Circle Lessons https://courseware.cemc.uwaterloo.ca/27?gid=73
Circle Terminology   https://courseware.cemc.uwaterloo.ca/27/73/assignments/572/0
Drawing Circles https://courseware.cemc.uwaterloo.ca/27/73/assignments/577/0
  Applications of Circles   https://courseware.cemc.uwaterloo.ca/27/73/assignments/575/0
  Practice: Semicircles: calculate area, perimeter, radius and diameter  

https://ca.ixl.com/math/grade-7/semicircles-calculate-area-perimeter-radius-and-diameter

 

Angle Bisectors, Practice   https://ca.ixl.com/math/grade-7/construct-an-angle-bisector

Points, Lines, and Angles   https://courseware.cemc.uwaterloo.ca/27/73/assignments/569/0
     
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
https://ca.ixl.com/math/grade-7/construct-a-congruent-angle
     
Geometry Worksheets   http://www.teach-nology.com/worksheets/math/geometry/

 

 

Graphing

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Super cool “Graphing Stories” lessons  
more great graphing   https://teacher.desmos.com/carnival
     
Self grading quiz (on Math Links 7)   http://highered.mheducation.com/sites/0070988595/student_view0/chapter1/study_quiz.html
     

 

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.   https://www.isprimenumber.com/
     
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 http://www.mathsisfun.com/divisibility-rules.html
     
Divisibility - Self Grading Quiz Questions
     
Multiples of a Number (Lesson and Practice)   https://courseware.cemc.uwaterloo.ca/27/71/assignments/537/0
     
Factors of a Number (Lesson and Practice)   https://courseware.cemc.uwaterloo.ca/27/71/assignments/539/0
     
Prime Factorization   https://courseware.cemc.uwaterloo.ca/27/71/assignments/542/0

https://courseware.cemc.uwaterloo.ca/27/71/assignments/544/0
     
The GCF (Greatest Common Factor)   https://courseware.cemc.uwaterloo.ca/27/71/assignments/538/0
     

 

Fractions

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Worksheets (Unlike Denominators):
   

Lesson Series:   Fraction Splats

http://www.mathsisfun.com/fractions-menu.html

https://gfletchy.com/
     
Comparing Fractions (Lesson and Practice)   https://courseware.cemc.uwaterloo.ca/27/71/assignments/547/0
Comparing Negative Fractions   https://courseware.cemc.uwaterloo.ca/27/71/assignments/548
     
Describing Fractions as Decimals (Lesson and Practice)   https://courseware.cemc.uwaterloo.ca/27/71/assignments/546/0
     
Equivalent Fractions   https://courseware.cemc.uwaterloo.ca/27/72/assignments/564
     
Multiplying Fractions   https://courseware.cemc.uwaterloo.ca/27/72/assignments/560/0
Dividing Fractions   https://courseware.cemc.uwaterloo.ca/27/72/assignments/561
     
Fractions - Self Grading Quiz on Math Links 7   http://highered.mheducation.com/sites/0070988595/student_view0/chapter6/study_quiz.html

http://highered.mheducation.com/sites/0070988595/student_view0/chapter7/study_quiz.html
     
     

 

Patterns

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Lessons and Practice   https://courseware.cemc.uwaterloo.ca/27?gid=69

Patterns and Relations Lessons on Khan Academy

Examples, video lecture

     
Lesson: Growing Patterns https://www.ck12.org/book/Algebra-Explorations-Concepts-Pre-K-through-Grade-7/section/7.7/
Visual Patterns   http://www.visualpatterns.org/
     
Hexagonal Number Pattern   http://www.familymathnight.com/resources/whatdoyounotice-details.php?KEY=HEXAGONALNUMBERPATTERN
see also
           http://www.familymathnight.com/resources/familymathnight-notice.php#.VrfqFbIrLIU
     
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.
http://www.mathk8.nelson.com/math7/studentcentre/studtryout.html#ch4
     

 

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: https://courseware.cemc.uwaterloo.ca/27/71/assignments/541/0

Lesson 2: https://courseware.cemc.uwaterloo.ca/27/71/assignments/540/0
Comparing Rational Numbers   https://courseware.cemc.uwaterloo.ca/27/71/assignments/545/0
     
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

 

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

 

Competitions

Gauss Mathematics Contests, for Grades 7-8

AMC 8 for middle school students

 

 

Math Books

(Back to Shortcuts...)

       

 

 

Coding with MIT 3.0 Scratch

 
         

 

Extras for Fun

       

The sound of π

Digit transitions of a number

   
   
         

 

 

 

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