top of page

Welcome to Grade 10 Intro to Applied and Pre-Calculus Math!

Grade 10 Introduction to Applied and Pre-Calculus Math 20S is intended for students considering post-secondary studies that require a math prerequisite. This pathway provides students with the mathematical understanding and critical-thinking skills that have been identified for specific post-secondary programs of study. The topics studied form the foundation for topics to be studied in both Grade 11 Applied Math 30S and Grade 11 Pre-Calculus Math 30S.

​

On this page, you will find copies of class notes, assignments, and helpful links for you to succeed.

Remind

​

Get reminders about upcoming assignments and tests sent straight to your phone!

​

To sign up:

Desmos

​

We will be using Desmos, an online graphing calculator, regularly in this class.

​

To use:

Course Notes and Assignments

Unit 1: Factors and Products

​

1.1 Factors and Multiples Notes

1.1 LCM Notes

1.2 Perfect Squares, Perfect Cubes and Their Roots Notes

1.3 Multiplying Polynomials Notes

1.4 Common Factors of a Polynomial Notes

1.5 Factoring Trinomials a=1 Notes

1.6 Factoring Trinomials a>1 Notes

1.7 Difference of Squares Notes

1.7 cont'd Factoring in Two Variables Notes

​

Factoring Review

​

​

​

Unit 2: Roots and Powers

​

2.1&2.2 Number Sets and Estimating Roots Notes

2.3 Radical Notes

2.4 Exponents Review

2.5 Fractional Exponents Notes

2.6 Negative Exponents and Reciprocals Notes

2.7 Applying Exponent Laws Notes

​

​

Unit 3: Measurement

​

3.1 Measurement Systems Notes

3.2 Measurement Conversions within Systems Notes

3.3 Measurement Conversions between Systems Notes

3.4 Surface Area of Right Pyramids and Right Cones Notes

3.5 Volume of Right Pyramids and Right Cones Notes

3.6 Surface Area and Volume of a Sphere Notes

3.7 Solving Problems with Volume Notes

3.7 Solving Problems with Surface Area Notes

​

​

​

Unit 4: Trigonometry

​

4.1 Intro to Trigonometry Notes

4.2 The Tangent Ratio Notes

4.3 Using The Tangent Ratio to Calculate Lengths Notes

4.4 The Sine and Cosine Ratios Notes

4.5 Using Sine and Cosine Ratios to Calculate Lengths Notes

4.6 Application of Trigonometric Ratios Notes

4.7 What Happens if You Have More Than One Right Triangle? Notes

​

​

Unit 5: Relations and Functions

​

5.1 Representing Relations and Properties of Functions Notes

5.2 Interpreting and Sketching Graphs Notes

5.3 Part 1: Domain and Range in Set Notation Notes

5.3 Part 2: Domain and Range in Interval Notation Notes

5.4 Properties of Functions Notes

5.5 Function Notation Notes

5.6 Properties of Linear Relations Notes

5.7 Interpreting Graphs of Linear Functions Notes

5.8 Using a Graphing Calculator Notes

​

Unit 6: Linear Functions

​

6.1 Slope of A Line Notes

6.2 Distance and Midpoint Notes

6.3 Slope Intercept Form Notes

6.4 Slopes of Parallel and Perpendicular Lines

6.5 Slope-Point Form

6.6 General Form

6.7 Graphing Linear Functions Notes

​

​

​

Unit 7: Systems of Linear Equations

​

7.1 Developing Properties of Linear Systems Notes

7.2 Solving a System of Linear Equations Graphically (by hand)

7.3 Solving a System of Linear Equations Graphically (using technology)

7.4 Solving a System of Linear Equations Algebraically (using Substitution)

7.5 Solving a System of Linear Equations Algebraically (using Elimination)

7.6 Word Problems

​

​

bottom of page