Math 8

Welcome to my Math 8 page. 

Class Assignments

Click Here to view uploaded assignments, worksheets and class activities.

 Class Notes

Click Here to view uploaded class notes.

Students will need a Scientific Calculator. They will be taught how to use a number of new features and may need to know how to use their device during tests. Two models that I recommend are the Sharp EL 531x and the Casio fx-300MS. There are many other models that are equally good.  These display full expressions as they are entered and allow the user to edit previous expressions easily.


The following  are links to video material and exercises that match the concepts we are studying this year.  This material is from the University of Waterloo's CEMC.  If you missed a class, or need help with a topic, this is a great resource to try, especially the "Check Your Understanding" Questions that are provided for each concept.  These are questions that are generating dynamically (ie. they are different ever time), and you will be shown a complete solution with an explanation to each question.  Then you can click a button to get a new question.

Review of some foundation skills from elementary school

from:     CEMC, Grades 7/8 Mathematics: Operations, Lesson 1,2,6,11,12,13

                     Grades 7/8 Mathematics: Area, Volume, and Angles, Lesson 1,6

                     Grades 7/8 Mathematics: Equations and the Pythagorean Theorem, Lesson 6

Adding Integers https://courseware.cemc.uwaterloo.ca/27/72/assignments/563/0 concept of integer, opposites, using the number line (arrow model) to add integers Review Questions & Practice Exercises Adding Integers: Mental Arithmetic https://courseware.cemc.uwaterloo.ca/27/assignments/567/0 Review Questions & Practice Exercises Subtract Integers https://courseware.cemc.uwaterloo.ca/27/72/assignments/566/0 using the number line (arrow model), pattern rule of “adding the opposite” Review Questions & Practice Exercises 1-7 Multiply Integers https://courseware.cemc.uwaterloo.ca/27/assignments/554/0 Review Questions & Practice Exercises 1-8 Divide Integers https://courseware.cemc.uwaterloo.ca/27/72/assignments/555/0 Review Questions & Practice Exercises 1-5 Perimeter & Area of simple Polygons https://courseware.cemc.uwaterloo.ca/27/assignments/855/0 Review Questions & Practice Exercises 1-8 Perimeter & Area of Circles https://courseware.cemc.uwaterloo.ca/27/95/assignments/893/0 Review Questions & Practice Exercises 1-10 Order of Operations https://courseware.cemc.uwaterloo.ca/27/assignments/559/0Review Questions 1,4,5 Solve 1-step Equations https://courseware.cemc.uwaterloo.ca/27/assignments/730/0 Review Questions 1-4

Squares, Roots and the Pythagorean Theorem (Chapter 1)

from:     CEMC, Grades 7/8 Mathematics: Operations, Lesson 10, 18

CEMC, Grades 7/8 Mathematics: Equations and the Pythagorean Theorem, Lesson 15

Perfect Squares https://courseware.cemc.uwaterloo.ca/27/assignments/543/3    Review Question 3Square Roots https://courseware.cemc.uwaterloo.ca/27/72/assignments/551/0    Review Questions 1-2, Practice Exercises 1-7Pythagorean Theorem https://courseware.cemc.uwaterloo.ca/27/76/assignments/742/0Review Questions 1-2    Review Questions and Practice Exercises

Fraction Operations (Chapter 4 and 5)

from:     CEMC, Grades 7/8 Mathematics: Operations, Lesson 3, 4, 5, , 18

CEMC, Grades 7/8 Mathematics: Equations and the Pythagorean Theorem, Lesson 15

Equivalent Fractions https://courseware.cemc.uwaterloo.ca/27/assignments/564/0numerator, denominator, equivalent fractions, proper fraction, improper fraction    Review Questions & Practice Exercises Common Multiples https://courseware.cemc.uwaterloo.ca/27/71/assignments/537/0   & Mental Arithmetic Review Questions, Practice Exercises 1-5 Adding Fractions https://courseware.cemc.uwaterloo.ca/27/assignments/565/0   (using models) Review Questions, Practice Exercises Adding Fractions https://courseware.cemc.uwaterloo.ca/27/assignments/562/0   (using LCD) Review Questions, Practice Exercises 1-6 Multiply by a Whole Number https://courseware.cemc.uwaterloo.ca/27/assignments/549/0    n x a/b Review Questions, Practice Exercises 1-6 Divide Whole Numbers https://courseware.cemc.uwaterloo.ca/27/assignments/553/0    by Fractions Review Questions, Practice Exercises 1-4 Multiply Fractions https://courseware.cemc.uwaterloo.ca/27/72/assignments/560/0 Review Questions, Practice Exercises 1-9 Order of Operations https://courseware.cemc.uwaterloo.ca/27/assignments/559/3  Review Question 2 

Ratios, Rates and Percentages  (Chapter 7 and 8)

from:     CEMC, Grades 7/8 Mathematics: Ratios, Rates and Proportions 

What are Ratios? https://courseware.cemc.uwaterloo.ca/27/75/assignments/588/0   Practice Exercises  Equivalent Ratios https://courseware.cemc.uwaterloo.ca/27/assignments/587/0    Review Questions 1-5, Practice Exercises 1-8Percentages https://courseware.cemc.uwaterloo.ca/27/75/assignments/585/0    Review Questions, Practice ExercisesConverting Measurement Units https://courseware.cemc.uwaterloo.ca/27/assignments/584/0    kilometers into meters, centimeters, and millimeters  (same for working in grams or liters)   Note: the 5th part of this lesson sequence is enrichment    Review Questions #1-4 Unit Rates https://courseware.cemc.uwaterloo.ca/27/assignments/586/0    Review Questions # 1-4, Practice Exercises # 1-6 Proportionality https://courseware.cemc.uwaterloo.ca/27/assignments/745/0  Review Questions # 1-3, Practice Exercises # 1-6 Proportionality in Tables & Graphs https://courseware.cemc.uwaterloo.ca/27/75/assignments/748/0    Review Questions # 1-2, Practice Exercises # 1-5,7,8 Rates and Equations https://courseware.cemc.uwaterloo.ca/27/assignments/754/0    Review Questions # 1-3, Practice Exercises # 1-5,8, and #6 is enrichment Revisiting Percentages https://courseware.cemc.uwaterloo.ca/27/assignments/751/0    (Less than 1, Greater than 100) Review Questions # 1-3, Practice Exercises # 1-7  

Algebra (Chapter 6)

from:     CEMC, Grades 7/8 Mathematics: Equations and the Pythagorean Theorem, Lesson 1, 10, 13, 

CEMC, Grades 9/10/11 Number Sense and Algebraic Expressions, Manipulating Algebraic Expressions, Lesson 2

Variables and Expressions https://courseware.cemc.uwaterloo.ca/27/76/assignments/589/0 Review Question 3, Practice Exercises # 1-8,10 Combining Like Terms https://courseware.cemc.uwaterloo.ca/41/assignments/1086/0 Review Questions, Practice Exercises # 1-4Distribution Recorded lesson on DistributionSolving Two-Step Equations https://courseware.cemc.uwaterloo.ca/27/assignments/733/0 Review Question 3, Practice Exercises #1-4Representing Patterns Recorded lesson on Representing PatternsEvaluating Expressions https://courseware.cemc.uwaterloo.ca/27/76/assignments/736/0   and Solving Equations Review Question, Practice ExercisesGraphing Linear Relations Recorded lesson on Graphing Linear Relations

For the textbook we used before the last curriculum change, Math Focus 8, the textbook publisher (Nelson) has a website with a short quiz for each section in the textbook.  The major portions of the curriculum didn't change, so much of this is still useful.  If you have a weak area you can follow the link below to access these:

Nelson Math Focus 8 web resources: 

http://www.nelson.com/mathfocus/grade8/student/tryout.html

If you want some strategies to improve your arithmetic skills, click HERE.

For simple worksheets that practice some fundamental skills like; operations on fractions; finding perimeters, areas, surface areas and volumes; try MathDrills.com.

     Surface Area and Volume

    Fractions:  MathisFun.com offers help from an elementary introduction to fractions, converting between forms, adding and subtracting.

 

Click HERE for some REVIEW worksheets on most of the topics studied in Math 8.  Some are from the University of Waterloo's 'Wired Math'  and 'Math Circles' sites. 

Most of the questions on the 'Wired' Math' sheets are excellent review for the Math 8 Exam, and some of the later questions on these sheets are great for students that are close to mastery.  The Grade 8 page of the 'Wired Math' site also provides games for practicing skills in these areas as well as multiple versions of the single-topic reviews.  Answers for the worksheets are also provided.

 The 'Math Circles' material has notes and worked-out examples that precede the set of problems. 

Integers 

Students learn to add and subtract integers in grade7, but the 'rules' for subtracting integers often seem counter-intuitive.  The following applet is useful for developing a deeper understanding of integers.  There are instructions to help you understand how to use this tool. 

Subtacting Integers

Some students need more practice with Order of Operations questions.  This site, from the ministry of education in Alberta, offers notes, web lessons, games and worksheets to practice many topics.  Here is the link for the Integer material.  Try the "Print Activities" on the bottom right of the page.

Order of Operations

Algebra

Many students struggle to understand how to solve equations.  The "Balance" or "Teeter-totter" model for solving equations emphasizes the concept that you can do anything you want to an equation as long as you do the same thing to Both Sides.

Algebra tiles are manipulatives that are frequently used to model a variety of algebraic concepts.  You can explore the use of algebra tiles and the Balance Model at home by using the following applets.   Balance Model Equation Solver       Algebra Tile Equation Solver 

Ratios and Percent conversions, Percent increase/decrease

An online practice and quiz.  You can use this site a limited number of times without a membership, or sign up for a free account.  The link is:

http://www.ck12.org/arithmetic/Conversion-of-Decimals-Fractions-and-Percent/asmtpractice/Conversion-of-Decimals-Fractions-and-Percent-Practice/

Other video lessons and practice on this topic is available at: http://www.ck12.org/arithmetic/

Kahoot Games to Review Foundation Skills and to practice New Skills

Other Useful Sites to assist learning:

How to Use a Protractor:   This site offers a lesson on how to use a protractor to measure angles, and activities/games to get better at estimating angles.