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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 I need a Math Tutor (Calgary and Online Tutoring): |
Math and Coding Help Improve Focus and
Problem Solving Skills
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| 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 |
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| Shortcuts to Topics |
CONTENTS, Grade 7 Math Curriculum Assessment/Review, Grade 7 Readiness Absolute Values Divisibility, Primes, Composites and Factoring Equations Fractions Geometry Graphing Least common multiple (LCM) or Least Common Denominator (LCD) Long Division Numbers and Operations: Percents, Ratios, and Proportions Order of Operations Patterns Rational Numbers Statistics and Probability Unit |
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Nelson,
Online Practice: |
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In Person...
Math Nite
will be running every Wednesday from 6pm-8pm
in MS-431 at the University of Calgary. See also the JAMES Mathematics Circle. |
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Pearson Math Makes Sense 7 (PDF) |
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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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Assessment/Review, Grade 7 Readiness
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General Review for Beginning of Grade 7, p. I Give yourself a chance to answer the questions, then press next (right arrow) to see the answer. |
Index - General Review (Sorted by Page/Slide Number) Slide 01: Wole numbers, integers, decimals, rounding Slide 07: Addition, subtractions, multiplications Slide 12: Divisibility Slide 14: Division w/Remainder Slide 17: Dividing by powers of ten Slide 18: Multiplying by powers of ten Slide 20: Multiplying decimals Slide 26: Dividing decimals Slide 31: Exponents Slide 37: Primes and decomposition Slide 38: Factors Slide 40: Prime factorization Slide 43, 50: Greatest common factor (GCF) Slide 45, 51: Least common multiple (LCM) Slide 52: Fractions Slide 54: Equivalent fractions Slide 56: Fractions lowest terms Slide 58, 64: Lowest Common Denominator (LCD) Slide 60, 70: Compare Fractions Slide 72: Proper, improper and mixed fractions
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Slide 2, 4, 5: Add fractions, same denominator Slide 3, 5: Subtract fractions, same denominator Slide 9: Add and subtract mixed fractions, same denominator |
Absolute Values
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Absolute value practice on IXL Absolute Value Quizzes on mathopolis
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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, and Proportions
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Lesson on Proportions: The Rule of Three 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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Statistics and Probability
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Equations
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Lesson: Introduction to Equations |
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SPONSORED CONTENT:  |
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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...
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| Equation worksheets and answers |
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Algebra Basics: Solving Basic Equations Part 1 - Math Antics |
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| Equations: worksheets and answers |
http://www.algebra4children.com/pre-algebraworksheets.html | |||||||
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Algebra Basics: Solving Basic Equations Part 2 - Math Antics
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| 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 |
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| Geometry and Measurement |
http://mathcentral.uregina.ca/RR/database/RR.09.97/gauthier29.pdf |
| Angle Bisectors, Practice |
https://ca.ixl.com/math/grade-7/construct-an-angle-bisector
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| Points, Lines, and Angles | https://courseware.cemc.uwaterloo.ca/27/73/assignments/569/0 | |||
| Hands on Angle Ideas |
Use MIT Scratch to visualize angles in a new way: |
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| Hands on Angles |
Experiment with an Angles' (PLIX) The sum of all angles in a quadrilateral (PLIX) |
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| Practice: Construct a Congruent Angle |
 https://ca.ixl.com/math/grade-7/construct-a-congruent-angle |
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| Geometry Worksheets | http://www.teach-nology.com/worksheets/math/geometry/ | |||
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Take a different approach to math: learn about fractals,
menger cubes, logic with Venn Diagrams, Fibonacci, Golden Ratio
and much more.
The book includes self-grading online quizzes to test your knowledge. This book is used as enrichment in the classroom, gifted programs, math clubs, and home learning. Click here to download a few worksheets. |
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Develop your own Math Circle. |
Graphing
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| Super cool “Graphing Stories” lessons |
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| 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 | |
Least common multiple (LCM) or
Least Common Denominator (LCD)
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| Lesson, LCD (a.k.a. LCM): | see lesson full screen: LCD (a.k.a. LCM) |
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SPONSORED CONTENT
 
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Long Division
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Lesson: Long Division
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/ |
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| Lesson | Divisibility by 2, 3, 4, 5, 7, 9, 10 | |
| 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. |
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| Lesson |
The Prime Factor Tree Method |
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Factoring Numbers into Primes (app) |
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| 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 |
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| The GCF (Greatest Common Factor) | https://courseware.cemc.uwaterloo.ca/27/71/assignments/538/0 | |
Fractions
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| Lesson concepts covered: - fractions - LCD (or LCM) - numerators and denominators - primes - tree method for factorization (or prime decomposition) |
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| Learn how to Code with MIT Scratch 3.0 | |||
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Hands on Math Series 
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| After Lesson, Quiz 1 |
Fractions Worksheets for Grade 7 (self-grading #1) |
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| Assessment, Quiz 2 | Fractions Worksheets for Grade 7 (self-grading #2) | ||
| Lesson (Advanced) Fractions
(must follow Divisibility Lecture first!) |
Fractions, Advanced Prepare for different denominators Part I.: amplify and simplify Part II.: LCD and operations Part III: Add/Subtract Mixed Fractions Adding and Subtractinig Fractions Part IV.: Add fractions and split the result back into constituents |
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| Lessons: Manipulating Fractions |
Methods for finding Equivalent Fractions Multiplying Fractions |
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Fractions Worksheets for Grade 7 (Unlike Denominators): |
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| Lesson Series: |
Fraction Splats http://www.mathsisfun.com/fractions-menu.html https://gfletchy.com/ |
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Comparing Fractions (Lesson and Practice) |
https://courseware.cemc.uwaterloo.ca/27/71/assignments/547/0 | |
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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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Order of Operations
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Order of Operations (BEDMAS, but actually BEDMSA)
Order of Operations: What's wrong with BEDMAS?
Quiz, order of operations understanding
Activity: Intro on Khan Ac. Group Activities
Quiz/Practice Khan Ac. Quiz
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 |
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| 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 |
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| 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 |
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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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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. |
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| 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. |
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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 |
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| Comparing Rational Numbers | https://courseware.cemc.uwaterloo.ca/27/71/assignments/545/0 | ||
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Repeating groups of decimals are called:
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periodic |
Examples: 1 repeating digit: 0.3333333... 2 repeating digit: 0.373737.... 5 repeating digit: 0.123451234512345....... |
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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.  |
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| infinite but periodic decimals |
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Additional Resources
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 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
Competitions
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
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Extras for Fun
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The sound of π |
Digit transitions of a number |
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