Lesson 1: Multiplying and Dividing Fractions

• Strategy for multiplying fractions

• Divide and cancel method

• Multiplying whole numbers and fractions

• Word problem explained

• Strategy for dividing fractions

• Divide and cancel method

• Dividing mixed fractions

Lesson 2: Applying Equivalent Fractions

• Strategies for applying equivalent fractions

• Using word problems

• Applying proper statements to show understanding

• Formation of equations

• Using statements to solve for unknowns

Lesson 3: Simplifying Polynomials

• Strategy for simplifying polynomials

• Solving polynomials

• Solutions to polynomial questions explained

Lesson 4: Factoring Polynomials

• Strategy for factoring polynomials

• Use of brackets

• Double checking answers

Questions & Answers related to Module 1

Lesson 1: Review of Basics

• Alternative ways of viewing fractions

• Improper fractions and mixed fractions

• Reducing fractions to lowest terms

• Equivalent fractions equal to one

• Zero fractions and undefined fractions

• Converting fractions to decimals (long division)

• Solving simple equivalent fraction questions

Lesson 2: Adding and Subtracting Fractions

• Strategies for adding and subtracting fractions

• The Use of equivalent fractions

• Sample questions and solutions

• Adding and subtracting mixed fractions

• Sample questions and solutions

Questions and Answers related to Module 2

Lesson 1: Multiplying and Dividing Fractions

• Strategy for multiplying fractions

• Divide and cancel method

• Multiplying whole numbers and fractions

• Word problem explained

• Strategy for dividing fractions

• Divide and cancel method

• Dividing mixed fractions

Lesson 2: Applying Equivalent Fractions

• Strategies for applying equivalent fractions

• Using word problems

• Applying proper statements to show understanding

• Formation of equations

• Using statements to solve for unknowns

Questions and Answers related to Module 3

Lesson 1: Quick Review of Simple Coordinate Geometry

• X and Y coordinates explained

• Straight line represented in 2 ways

• Dependent and independent variables on graphs

• Developing table of values from given equation

• Plotting points on a graph

• Review questions

Lesson 2: The Straight Line Equation

• Equation of a straight line – its component parts explained

• Understanding the x and y intercepts

• Description of slopes

• Description of intercepts

• Determining straight line equation from component parts

• Calculating slope from points on graph

• Calculating slope from intercepts

• Determining the equation of a straight line from graphs

Lesson 3: Variations to Straight Line Graphs

• Equation of a straight line through the origin

• Graphing of an equation through the origin

• Equation of a horizontal line

• Graph of a horizontal line

• Equation of a vertical line

• Graph of a vertical line

• Straight lines with positive and negative slopes

Lesson 4: Scatter Plots

• Nature of scatter plots

• Positive and negative slopes

• Understanding correlation

• Graph of various slopes and correlation

• Lines of best fit

Questions and Answers related to Module 4

Lesson 1: Equations

• Equation formation: From simple statements and difficult statements

• Use of the unknown variable

• Use of more than one unknowns

Lesson 2: Solving Equations

• Two methods for solving simple equations: Adding and subtracting both sides, moving terms to either side of equation sign

• Understanding the main purpose in solving

• Introducing the Equation Solving Diagram (ESD)

• Solving equations with one variable

• Solving equations with more than one similar variables

• Solving equation word problems

• Solving equation word problems with decimals

Lesson 3: Solving Equations with Fractions

• The approach to solving these equations

• Use of the lowest common multiple (LCM)

• Use of divide and cancel

• Solving equations with fractions and whole numbers

• Tips for solving various types of equations with fractions

Lesson 4: Complex Equations

• Solving complex equations strategies: Equivalent fractions, equivalent fractions with whole numbers

• Strategies for removing fractions

Lesson 5: Introducing Exponents

• Quick review of 2 important exponents

• Understanding negative exponents

• Solving negative exponents

• Understanding exponents as fractions

• Solving expressions with fractions as exponents

• Understanding negative fractions as exponents

• Solving expressions with negative fractions as exponents

• Solving exponential equations

Questions and Answers related to Module 5

Lesson 1: Adding and Subtracting Integers

• Referencing the number line

• Principle behind adding integers

• Principle behind subtracting integers

• Simple strategies for solving problems

• Application of general rules

Lesson 2: Multiplying and Dividing Integers

• Application of general rules for multiplication

• Application of general rules for division

• Key points for multiplication of integers

• Solutions to practice questions explained

Lesson 3: Application of BEDMAS and Integers

• Review of BEDMAS

• Step by step strategy for solving expressions with multiple operations

• Simplifying expressions with variables

• Strategy for dealing with brackets

• Strategy for dealing with negative signs

Questions and Answers related to Module 6