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Math 7, Alberta Curriculum

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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
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

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.

Absolute Values

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 Absolute Values Comparing Absolute Values 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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 Percents Negative Numbers (press Ctrl F on this page and search for Negative)

Statistics and Probability

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Equations

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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:
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 Geometry and Measurement http://mathcentral.uregina.ca/RR/database/RR.09.97/gauthier29.pdf

 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 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

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

Math Games

Math Art : Pi Skyline

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

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    Extras for Fun  