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Math 7, Alberta Curriculum(Free Resources) Specific Units and Program of Studies Click on the many "Specific Unit" links to gain access to additional practice.More ResourcesLook up Mathematical Terms: GlossaryProject 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 

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 6pm8pm in MS431
at the University of Calgary, from the following dates:
See also the JAMES Mathematics Circle. 

Pearson Math Makes Sense 7 (PDF) 
Common IssuesBrilliant 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 
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Absolute value practice on IXL 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 
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Ratios and Scale Factors (PLIX) Decimals  Self grading quiz (on Math Links 7) 
Add and Subtract Negative & Positive Integers Negative Numbers Using PILES AND HOLES
Negative Numbers (press Ctrl F on this page and search for Negative) 

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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...


Equation worksheets and answers 
Algebra Basics: Solving Basic Equations Part 1  Math Antics 

Equations: worksheets and answers 
http://www.algebra4children.com/prealgebraworksheets.html  
Algebra Basics: Solving Basic Equations Part 2  Math Antics


Solving Linear Equations using the Bar Method  https://www.tes.com/teachingresource/solvinglinearequationsusingthebarmethod11000712  
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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 

Geometry and Measurement 
http://mathcentral.uregina.ca/RR/database/RR.09.97/gauthier29.pdf 
Angle Bisectors, Practice 
https://ca.ixl.com/math/grade7/constructananglebisector


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/grade7/constructacongruentangle 

Geometry Worksheets  http://www.teachnology.com/worksheets/math/geometry/ 
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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  
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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/divisibilityrules.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  
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Worksheets (Unlike Denominators): 

Lesson Series: 
Fraction Splats http://www.mathsisfun.com/fractionsmenu.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  
Fractions worksheet  https://cemc2.math.uwaterloo.ca/wired_math/English/lessons/grade7/NSN_FRAC_Gr7.pdf (find the answers here).  
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 

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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/AlgebraExplorationsConceptsPreKthroughGrade7/section/7.7/  
Visual Patterns  http://www.visualpatterns.org/  
Hexagonal Number Pattern 
http://www.familymathnight.com/resources/whatdoyounoticedetails.php?KEY=HEXAGONALNUMBERPATTERN
see also http://www.familymathnight.com/resources/familymathnightnotice.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 twovariable 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 

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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 

Curriculum options, organized by day...
Grade 7 Worksheets (+answers and automated tests)
7th Grade Math (accelerated) Course
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 20182019", solutions available as well)
University of Waterloo  Math Circles Presentations
Submit a grade 7 homework question!
PAT tests happen every other year in Alberta. Grade 7 is not included.
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 78
AMC 8 for middle school students
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The sound of π 
Digit transitions of a number 

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