Introduction to Grade 8 math
WHO IS ENRICO FERMI?
WHAT IS A FERMI PROBLEM?
Integers and Algebraic Expressions
Focus:
- Review Adding and Subtracting Integers
- Multiply and Divide Integers
- Solve problems involving integers
- use order of operations to solve arithmetic and algebraic expressions involving integers
Lesson 1: Review of Adding and Subtracting Integers
![]()
|
![]()
|
Lesson 2: Multiplying Integers
![]()
|
Lesson 3: Dividing Integers
![]()
|
Review of Learning Goals for Integers and Algebraic Expressions:
Quadrilaterals, Lines, Angles, and Triangles
Focus:
- sort and classify quadrilaterals
- properties of triangles, quadrilaterals in the real world
- angle relationships for intersecting lines and parallel lines, transversals, sum of angles of a triangle
- finding interior and complementary angles
- finding supplementary and opposite angles
- finding alternate and corresponding angles
Lesson 1: Classifying Quadrilaterals
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Classifying Quadrilaterals Lesson Notes | |
File Size: | 166 kb |
File Type: | ppt |
Lesson 2: Investigating Quadrilaterals
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Investigating Quadrilaterals Lesson Notes | |
File Size: | 321 kb |
File Type: | ppt |
Lesson 3: Quadrilateral Challenge
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Quadrilateral Challenge Lesson Instructions | |
File Size: | 12 kb |
File Type: | doc |
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Quadrilateral Challenge Notes | |
File Size: | 320 kb |
File Type: | ppt |
Lesson 4: Pythagorean Theorem
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Pythagorean Theorem Lesson Instructions | |
File Size: | 16 kb |
File Type: | docx |
Lesson 5: Quadrilaterals in the Real World
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Quadrilaterals in the Real World - Lesson and Practice | |
File Size: | 1242 kb |
File Type: | ppt |
Quadrilateral Properties:
Review:
Angle Properties:
Lesson 6: Opposite and Supplementary Angles
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Opposite and Supplementary Angles Lesson Instructions | |
File Size: | 14 kb |
File Type: | docx |
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Opposite and Supplementary Angles Lesson Notes | |
File Size: | 94 kb |
File Type: | pptx |
Lesson 7: Complementary Angles
![]()
![]()
|
Lesson 8: Angle Properties of Parallel Lines Intersected by a Transversal
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Angle Properties of Parallel Lines Intersected by a Transversal Lesson Instructions | |
File Size: | 10 kb |
File Type: | docx |
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Angle Relationships Lesson Notes | |
File Size: | 371 kb |
File Type: | ppt |
Lesson 9: Finding Missing Angles in Parallel Lines that have been Intersected by a Transversal
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Finding Missing Angles Lesson Instructions | |
File Size: | 11 kb |
File Type: | docx |
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Finding Missing Angles Notes | |
File Size: | 400 kb |
File Type: | ppt |
Lesson 10: Finding Missing Angles - Interior Angles of a Triangle
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Finding Missing Angles in a Triangle Lesson Instructions | |
File Size: | 11 kb |
File Type: | docx |
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Finding Missing Angles in Triangles Lesson Notes | |
File Size: | 703 kb |
File Type: | pptx |
Fractions, Decimals, and Percents
Focus:
- demonstrate understanding that operations with fraction have the same conceptual foundation as operations with whole numbers
- demonstrate understanding that the multiplication and division of fractions can be modeled with area
- determine the "invert and multiply" rule for division by a fraction
- demonstrate proficiency in operations with fractions (multiply whole numbers by a fraction, multiply a fraction by a fraction both being between 0 and 1, multiplying mixed fractions greater than 2, dividing fractions)
- represent, compare and order equivalent representations of numbers (fraction, decimal, percent)
- solve problems arising from everyday context involving percent
Lesson 1: Converting Fractions, Decimals, and Percent
|
![]()
![]()
|
Lesson 2: Review Adding and Subtracting Fractions
Lesson 3: Multiplying Whole Numbers by a Fraction
Lesson 4: Multiplying a Fraction by a Fraction (Both Fractions Between 0 and 1)
Lesson 5: Multiplying Mixed Numbers
Lesson 6: Dividing Fractions
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Dividing Fractions Lesson | |
File Size: | 27 kb |
File Type: | doc |
|
Dividing Fractions - answer key is provided so you are able to check your work
![]()
|
Lesson 7: Order of Operations Involving Fractions
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Order of Operations with Fractions Lesson Notes | |
File Size: | 415 kb |
File Type: | pptx |
Lesson 8: Apply Percent to Sales Tax and Discounts
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Apply Percent to Sales Taxes and Discounts Lesson Notes | |
File Size: | 19 kb |
File Type: | ppt |
|
Discount and Sale Price Practice
|
Lesson 9: Apply Percent to Commission
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Applying Percent to Commission Lesson Notes | |
File Size: | 25 kb |
File Type: | ppt |
Lesson 10: Calculating Simple Interest
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Calculating Simple Interest Lesson Notes | |
File Size: | 23 kb |
File Type: | ppt |
Powers and Circles
Focus:
- appreciate that numbers can appear in various numerical forms;
- represent whole numbers in expanded form using powers of ten;
- develop rules for multiplying and dividing by powers of 10 with positive exponents;
- apply rules for multiplying and dividing by powers of 10 to mentally solve problems;
- appreciate the need to find square roots;
- use calculators to estimate the square root of a number;
- draw circles and measure radii, diameters, and circumferences using concrete materials;
- investigate the relationship between the diameter and circumference of a circle to discover the constant ratio π;
- develop and use formulas for circumference and area of circles;
- solve problems relating to the radius, diameter, circumference, and area of a circle;
- understand and apply the order of operations and use of π key on calculators.
Lesson 1: Place Value and Number Representations
![]()
|
![]()
|
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Value of the Place and Representing Numbers | |
File Size: | 12 kb |
File Type: | docx |
Lesson 2: Multiplying and Dividing by Powers of 10
![]()
|
![]()
|
Lesson 3: Scientific Notation
![]()
|
![]()
|
Lesson 4: Finding the Square Root and Perfect Squares
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Squares and Square Roots Lesson Notes | |
File Size: | 89 kb |
File Type: | pptx |
Lesson 5: Parts of a Circle and the Relationship between Circumference and Diameter
![]()
|
Lesson 6: Finding the Circumference of a Circle
![]()
|
Lesson 7: Finding Area of a Circle
Area of a Circle Lesson Notes (record only up to approximating the area of a circle from the area of a square - this is good information to consider but you are not responsible for using this relationship in Grade 8)
Lesson 8: Drawing Circles
![Picture](/uploads/2/8/2/3/28233485/9163828.gif?219)
To draw a circle (or arc) with a compass:
Example 2 Use a compass to draw a circle of radius 4 cm.
Solution:
Step 1: Use a ruler to set the distance from the point of the compass to the pencil's lead at 4 cm.
Step 2: Place the point of the compass at the centre of the circle.
Step 3: Draw the circle by turning the compass through 360º.
- make sure that the hinge at the top of the compass is tightened so that it does not slip
- tighten the hold for the pencil so it also does not slip
- align the pencil lead with the compass's needle
- press down the needle and turn the knob at the top of the compass to draw a circle (or arc) or rotate the paper while holding the point of the compass (needle) in the same place.
Example 2 Use a compass to draw a circle of radius 4 cm.
Solution:
Step 1: Use a ruler to set the distance from the point of the compass to the pencil's lead at 4 cm.
Step 2: Place the point of the compass at the centre of the circle.
Step 3: Draw the circle by turning the compass through 360º.
Powers and Circles Review
Lesson Content:
Representing Patterns in Multiple Ways
Focus:
- represent linear growing patterns (where the terms are whole numbers) using graphs, algebraic expressions, and equations;
- model linear relationships graphically
Your browser does not support viewing this document. Click here to download the document.
Lesson 1: What Do Patterns Tell Us?
![]()
|
![]()
|
![]()
|
Lesson 2: Different Representations of the Same Pattern
Lesson 3: Finding the nth Term
Lesson 4: Exploring Patterns
![]()
|
![]()
|
Lesson 5: Space Race: Graphic Representations
Your browser does not support viewing this document. Click here to download the document.
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Creating a Table of Values Notes | |
File Size: | 865 kb |
File Type: | docx |
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Interpreting Graphs | |
File Size: | 235 kb |
File Type: | docx |
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Lesson 6 Practice | |
File Size: | 358 kb |
File Type: | docx |
Lesson 7: Determining the Term Number
Lesson 8: Review of Learning Goals
Problem Solving Involving Multiplying and Dividing Integers Practice
Mathematics 8 Textbook pg. 364 #9, 16, 21; Challenge: #22 and pg. 369 #8, 9, 10,
Mathematics 8 Textbook pg. 364 #9, 16, 21; Challenge: #22 and pg. 369 #8, 9, 10,
Integers and Algebraic Expressions: How are they related?
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Missing Operations Questions | |
File Size: | 11 kb |
File Type: | docx |
![](http://www.weebly.com/weebly/images/file_icons/xls.png)
Working With Algebraic Expressions Lesson | |
File Size: | 48 kb |
File Type: | pptx |
![](http://www.weebly.com/weebly/images/file_icons/rtf.png)
Thinking Algebraically Problems | |
File Size: | 12 kb |
File Type: | docx |