## Math 11 – Foundations

**Ministry code: FOM 11**

It is recommended that students complete: Foundations Mathematics 10 or equivalent prior to enrolling in this course.

**View the complete Learning Standards for this course here:** __Foundations Math 11__

This course is designed to provide students with developing mathematical understandings that are identified for post-secondary studies in programs that do not require the study of theoretical calculus. Topics in this course include logical reasoning, geometry, measurement, relations and functions and statistics. This course is accepted as a Grade 11 mathematics credit for graduation.

### MODULE 1

**Unit 1: Inductive and Deductive Reasoning**

- Lesson 1: Conjectures and Inductive Reasoning
- Lesson 2: Validity and Disproving Conjectures
- Lesson 3: Conjectures and Deductive Reasoning
- Lesson 4: Non-Valid Proofs
- Lesson 5: Solving Problems Through Reasoning

**Unit 2: Properties of Angles and Triangles**

- Lesson 1: Angles Formed By Lines and Transversals
- Lesson 2: Angle Properties in Triangles
- Lesson 3: Angle Properties in Polygons

*Module 1 test*

### MODULE 2

**Unit 3: Non-Right Angled Triangle Trigonometry**

- Lesson 1: The Cosine Law
- Lesson 2: Applications for the Cosine law
- Lesson 3: The Sine Law
- Lesson 4: Ambiguous Case of the Sine Law
- Lesson 5: Application of the Sine Law

**Unit 4: Systems of Linear Inequalities**

- Lesson 1: Graphing Linear Inequalities
- Lesson 2: Graphing Systems of Linear Inequalities
- Lesson 3: Optimization Problems Part I
- Lesson 4: Optimization Problems Part II

*Module 2 test*

### MODULE 3

**Unit 5: Quadratic Functions and Equations**

- Lesson 1: Quadratic Functions-Translation
- Lesson 2: Quadratic Functions Expansions, Compressions
- Lesson 3: Solving Quadratic Equations by Factoring
- Lesson 4: Solving Quadratic Equations by the Square Root Principle
- Lesson 5: Quadratic Formula and Applications of Quadratics

*Module 3 Test*

### MODULE 4

**Unit 6: Proportional Reasoning**

- Lesson 1: The Comparison and Interpretation of Rates
- Lesson 2: Solving Problems That Involve Rates
- Lesson 3: Scale Factors of Diagrams
- Lesson 4: Scale Factors and Areas of 2-D Shapes
- Lesson 5: Similar Objects and Scale Diagrams

**Unit 7: Statistical Reasoning**

- Lesson 1: Data, Frequency Tables and Histograms
- Lesson 2: Standard Deviation
- Lesson 3: Normal Distribution
- Lesson 4: Z-Scores
- Lesson 5: Confidence Intervals

*Module 4 test*

### ASSESSMENT

- Unit Assignments (7 total) 30%
- Module Tests (4 total) 70%

**Required Resources: ** a computer with internet access and headphones/speakers. A calculator.