Quick Review 1: Operations with Integers

• General rules for adding and subtracting

• General rules for multiplying and dividing

• Solving expressions with BEDMAS

• Solutions to sample questions explained

Quick Review 2: More Operations with Integers

• Solving more difficult expressions with BEDMAS

• Solving expressions with fractions (adding and subtracting)

• Solving expressions with fractions (multiplying and dividing)

• Use of divide and cancel method

Lesson 1: Introducing Exponents

• Defining polynomial terms

• Exponent laws

• Solutions to sample questions with exponent laws:

  • Using positive bases

  • Using fractions as bases

  • Using negative numbers as bases

• Exponent tips for solving problems

Lesson 2: Polynomials

• What is a term

• Definition of a polynomial

• Types of polynomials

• Degree of a polynomial

• Solutions to sample questions

• Simplifying polynomial expressions

Lesson 1: Working with Equations

• Formation of equations from word problems:

• Identifying the unknown

• Simple equation formation for adding and subtracting questions

• Equation formation (times a number)

• Equation formation (all four operations)

• Equation formation (consecutive events)

Lesson 2: Working with More Complex Equations

• Two methods of solving - Examples using each method

• Equation solving diagram (ESD)

• Techniques for solving equations with fractions

• Lowest Common Multiple (LCM)

• Solving complex equations

  • Examples with 2 equivalent fractions

Lesson 1: Introduction to Modelling with Graphs

• Understanding and defining slope

• Positive and negative slope

• Calculating slope - given 2 points

• Slope of a vertical line

• Slope of a horizontal line

Lesson 2: More Modelling with Graphs

• Defining and explaining key terms:

  • Dependent and independent variables

  • Outlier

  • Line of best fit

  • Direct and partial variation

• Word problems with partial variation

• Partial variation graphs

• First difference: Linear and non-linear equations

• Equation of a straight line (components explained)

• Finding the equation of a straight line:

  • Given 2 points

  • Strategy to find equation

Lesson 1: Fundamentals of Graphing

• Quick review of graphing fundamentals:

  • Table of values

  • The x and y axes

• Solving a simple real world linear problem

  • Graphing the problem

  • Determining the pattern

  • Determining the equation

  • Use of the equation to solve other variations

Lesson 2 : Slope / Y – Intercept Form

• Review of the slope / y-intercept form of a straight line

• Standard form of linear relations

  • Conditions for standard form

• Conversion of slope / y-intercept form to standard form

• Conversion of standard form to slope / y-intercept form

• Graphing linear equations in standard form

  • 2 strategies to use

Lesson 3: Special Cases

• Parallel lines

• Condition for parallel lines

• Strategy for determining parallel lines

• Perpendicular lines

  • Condition for perpendicular lines

  • Strategy for determining perpendicular lines

• Horizontal lines

  • Condition for horizontal lines

  • Strategy for determining horizontal lines

• Vertical lines

  • Condition for vertical lines

  • Strategy for determining vertical lines

Lesson 4: Equation of the Line (Special Situations)

• Finding the equation of the line

  • Parallel to x-axis and passing through a point

  • Perpendicular to a given equation and passing through a point

  • Parallel to another equation with same y-intercept

  • Perpendicular to a line and passing through a point

Lesson 5: Scatter Plots

• Understanding and interpreting scatter plots

  • Description of relationships

  • Determining slopes

  • Explanation of correlations

  • Line of best fit

Lesson 1: Optimization of 2 – D Figures (fixed perimeters)

• Determining the optimization of 2-D figures

  • Maximum or minimum solutions

  • Examples using rectangles with various dimensions

  • General optimization rule

  • Optimization special case (one length removed)

Lesson 2: Optimization of 2 – D Figures (fixed areas)

• Determining the optimization of 2-D figures

  • Investigating solutions

  • Examples using rectangles with various dimensions

  • General optimization rule

• Review of optimization rules

• Practice questions using optimization rules

Lesson 3: Polygons

• Some key definitions:

  • A vertex

  • Interior and exterior angles

  • Regular polygons

  • Convex and concave polygons

• General rule for interior and exterior angles

• Pythagorean Theorem – angle relationships