 ## 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 2: Quadratic Functions Expansions, Compressions
• Lesson 3: Solving Quadratic Equations by Factoring
• Lesson 4: Solving Quadratic Equations by the Square Root Principle

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.

BC Performance Standards