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Grade 8 Math, Alberta Curriculum 
ShortcutsRatios, Rates, Proportions & Percents

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Books
Divisibility Rules 
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. 

Equations, Linear 

Lectures, Khan Academy Topics 
https://www.khanacademy.org/math/cceighthgrademath/cc8thsolvingequations

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Practice: Make sure you know how to work with negative numbers  https://highered.mheducation.com/sites/0070917612/student_view0/chapter11/study_quiz.html  
Practice  https://ca.ixl.com/math/grade8/solveequationscompletethesolution  
Self Grading Quiz  https://highered.mheducation.com/sites/0070917612/student_view0/chapter12/study_quiz.html  
Worksheet 
McGrawHill Global Education: https://highered.mheducation.com/sites/007092242x/student_view0/get_ready_for_grade_9.html (Choose Modeling with equations....) 

Probability 

Probability Lesson:  
Self Grading Quiz 
https://highered.mheducation.com/sites/0070917612/student_view0/chapter4/study_quiz.html
https://highered.mheducation.com/sites/0070973350/student_view0/chapter5/study_quiz.html 

Probability Lecture (see examples) 
https://www.mathsisfun.com/data/probability.html


Probability Lesson & Practice 
https://njctl.org/courses/math/geometry/probability/attachments/probability3/


Practice  Probability Quiz on Mathopolis  
Probability Worksheets  https://ca.edugain.com/math/grade8/DataHandlingProbabilityStatistics/  
Experiment with Digital Spinner (Hands on...) 
https://illuminations.nctm.org/adjustablespinner/  
Classroom Activity 
https://illuminations.nctm.org/Lesson.aspx?id=2895 

Graphing Probability activity: https://illuminations.nctm.org/Lesson.aspx?id=2898  
Class Activity: Large Areas of the Spinner, less likely or more likely?  https://teacher.desmos.com/activitybuilder/custom/59233c9aefd17610dbbd684e  


Activities 
You can buy large batches of dice at various stores and run dice
rolling experiments. Use worksheets to record the outcome. 

Play Skunk  A Probability Game 

A Student’s Guide to Probability and Statistics 
The following page provides numerous links about Probability. https://online.maryville.edu/onlinemastersdegrees/businessdataanalytics/studentsguidetoprobabilityandstatistics/ 

Ratios, Rates, Proportions & Percents 

Practice on Khan Academy (self grading exercises) 
Finding percents Converting decimals to percents Converting percents to decimals Converting percents and fractions Percent word problems 

Decimals and Percents Worksheets on Wired Math 
https://cemc2.math.uwaterloo.ca/wired_math/English/lessons/grade8/NSN_DECI_Gr8.pdf (answers here)  
Ratios Quiz 
https://www.mathopolis.com/questions/q.php?id=5040


Quizzes, Videos, Games on Ratios  https://www.mrfischer.ca/ratesratiosandpercents/  
Squares & Exponents 

What is an Exponent n?  The exponent
n means some
number
a to the power of
n:
a^{n } =
a*a*... *a,
multiplied n times. 

What is a Square?  A square is the specific exponent
2. It means
some number a, to the power of
2:
a^{2 } = a*a 

Practice  See Page 15.  
Exponent Laws 
Click
here to see exponent laws on Pinterest 

Lesson and Practice  https://courseware.cemc.uwaterloo.ca/27/71/assignments/543/0  
Order of Operations with Exponents  https://courseware.cemc.uwaterloo.ca/27/72/assignments/552  
Practice, Self Grading Quiz 
https://highered.mheducation.com/sites/0070917612/student_view0/chapter7/study_quiz.html


Square Roots 

Perfect Squares  To do well on most square root tasks you should memorize
most of the ones listed below. See more squares... 

What is a square root?  The square root of a number is easy to spot when the number
is formatted as a square. For example, when formatting 9 as a square: 9 = 3^{2}, it is easy to see the "root" of the square is 3. The identified root of such a square is called a "square root" or "radical". The method to find the square root of a is as follows: Step 1: Step 2: format a as a square, ask yourself, what number squared will give you a: a = b^{2} Step 3: replace a in the original expression Step 4: Conclude that: Thus the problem of squarerooting becomes a much simpler problem of formatting a number as a square. If in doubt, check the table of perfect squares above. CAVEAT: If a number cannot be formatted as a perfect square, we typically use a calculator, as the algorithm to extract a decimal square root is more complicated. 

Sorting Square Roots 
How do we know this is true for sure? Check out the Radical function below (in this case a radical of order II = square root) and notice the function is continuously rising. As long as a is "earlier" than b on the horizontal number line, the result of the square root is also "earlier" on the vertical number line. Drag a and b tto experiment on the demonstration below. (Click on the image to experiment with this graph). Since any number can be fitted between two perfect squares, you can easily estimate roughly, approximations of the square root of all such numbers. Here is an example: All the numbers n between 64 and 81 are larger than 64 and smaller than 81: Thus the square root of any number between 64 and 81 must be between 8 and 9. You can use this technique to place the approximate roots of any radicals (square roots) between two consecutive known perfect squares. 

Square Root Laws 
Click here to see common
Square Root Laws. 

Practice Square Roots on Khan Academy (self grading exercises) 
Square roots Roots of decimals & fractions Approximating square roots Decomposing into primes will be useful when solving the next exercise. Example: (Note sure how this example works? then watch this video) Simplify square roots (Remove all perfect squares from inside the square root) 

Square Roots, Lesson and Practice  https://courseware.cemc.uwaterloo.ca/27/72/assignments/551/0  
Practice 
https://ca.edugain.com/math/grade8/SquareandSquareRoots/
(may require registration, it's free). 

Symmetry 

Visualize Symmetry and Rotational Symmetry 
(animation) https://www.learnalberta.ca/content/memg/Division03/Symmetric/index.html 

see also 
Take a different approach to math: learn about fractals, menger cubes, logic with Venn Diagrams, Fibonacci, Golden Ratio and much more. The book includes selfgrading 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. 

Fractions 

Learning Materials 
https://www.edugains.ca/resources/LearningMaterials/TIPS/TIPS_Grade%208/Unit5_FractionsPercents.pdf
Circle Model and Fraction Names: https://www.aaamath.com/fra.htm Introduction to Fractions: https://study.com/academy/topic/sbamathgrade8introductiontofractions.html#overview Quizlet Flash Cards on Fractions and other topics Fractions and Rationals Worksheet on "Wired Math" (answers here). Advanced: University of Waterloo, Math Circles on Continued Fractions: https://cemc.math.uwaterloo.ca/events/mathcircles/201617/Fall/Junior78_Oct11.pdf Fractions Formula Sheet Simplifying Fractions 

Self Grading Quiz 
https://highered.mheducation.com/sites/0070917612/student_view0/chapter3/study_quiz.html
SBA Math  Grade 8: Introduction to Fractions Chapter Exam https://study.com/academy/exam/topic/sbamathgrade8introductiontofractions.html Fraction (selfgrading) worksheets on Nelson 

Worksheets 
https://highered.mheducation.com/sites/007092242x/student_view0/get_ready_for_grade_9.html
(Choose Fractions....) Scroll down to "Unit 3: Operations with Fractions" https://www.rsf.gsacrd.ab.ca/eteachers/1064/math8 https://www.cbv.ns.ca/morrison/modules/mastop_publish/files/files_4b0bdce7da311.pdf https://www.onlinemathlearning.com/grade8mathworksheets.html, Scroll down to "Fraction Worksheets" Printable Worksheets: https://www.mathaids.com/Fractions/ Comparing Fractions and Decimals: https://www.bbc.co.uk/skillswise/worksheet/ma18compl1wcomparedecimalsandpercentages 

Operations with Fractions, resources  https://sites.google.com/site/mathdepartmentspjh/math8/unit3operationswithfractions  
Geometry 
McGrawHill Global Education:  
Self Grading Quiz 
https://highered.mheducation.com/sites/0070917612/student_view0/chapter2/study_quiz.html
https://highered.mheducation.com/sites/0070917612/student_view0/chapter13/study_quiz.html 

Worksheets 
https://highered.mheducation.com/sites/007092242x/student_view0/get_ready_for_grade_9.html
(Choose Area and Perimeter....) https://highered.mheducation.com/sites/007092242x/student_view0/get_ready_for_grade_9.html (Choose Surface area and volume....) 

Geometry on Mathopolis (scroll down to the Geometry section) 


Junior  Grades 7/8  All Math Circle Presentations
Winter 2010 3D Geometry I
Question 12
A fly lands on the outside of a cylindrical drinking glass 6 cm from the top. Diametrically opposite the fly and 7 cm from the bottom, but on the inside of the glass, there is a drop of honey. The glass has circumference 24 cm, height 10 cm. Find the shortest path, in cm, that the fly must walk on the surface of the glass to reach the honey.
Gauss Mathematics Contests, for Grades 78
AMC 8 for middle school students
Canadian Math Kangaroo Contest 2018 (select grade page)
Wired Math  University of Waterloo
Practice Exam (Burnaby South Grade 8 Honours PRACTICE Math Entrance exam).
Louisiana Depart. of Edi.  Grade 8 Practice Test (w/Answer Key).
New York State Grade 8 Exams (each book has scoring keys).
Nebraska Department of Education, Practice Exam (w/Answer Key)
PDF, Mathematics Test 
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