## Foundations of Math 11

__COURSE OVERVIEW:__**Course Summary Review Extra Online Practice**

**ExamBank Chapter & Course**

**Practice Questions**

__Unit 1 - Logical Reasoning__Inductive and Deductive Reasoning

(Making Conjectures & Exploring Validity, Proving through Deductive Reasoning, Proofs that are not valid, Reasoning to Solve Problems, Analyzing Puzzles and Games)

*Chapter 1: Inductive and Deductive Reasoning*

*PLO's - Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems; Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies.**Section 1.1 - Making Conjectures: Inductive Reasoning*

Section 1.2 - Exploring the Validity of Conjectures

Section 1.3 - Using Reasoning to Find a Counterexample to a Conjecture

Section 1.4 - Proving Conjectures: Deductive Reasoning

Section 1.2 - Exploring the Validity of Conjectures

Section 1.3 - Using Reasoning to Find a Counterexample to a Conjecture

Section 1.4 - Proving Conjectures: Deductive Reasoning

*Section 1.5 - Proofs That Are Not Valid*

*Section 1.6 - Reasoning to Solve Problems*

Section 1.7 - Analyzing Puzzles and Games

Section 1.7 - Analyzing Puzzles and Games

__Unit 2 - Geometry__A) Properties of Angles and Triangles

(Exploring Parallel Lines, Angle Properties in Triangles and Polygons)

*Chapter 2: Properties of Angles and Triangles*

*PLO's - Solve problems that involve the properties of angles and triangles.**Section 2.1 - Exploring Parallel Lines*

Section 2.2 - Angles Formed by Parallel Lines

Section 2.3 - Angle Properties in Triangles

Section 2.4 - Angle Properties in Polygons

Section 2.2 - Angles Formed by Parallel Lines

Section 2.3 - Angle Properties in Triangles

Section 2.4 - Angle Properties in Polygons

B) Acute Triangle Trigonometry

(Proving and Applying the Sine and Cosine Laws, Solving Problems Using Acute Triangles)

*Chapter 3: Acute Triangle Trigonometry*

*PLO's - Derive proofs that involve the properties of angles and triangles.**Section 3.1 - Exploring Side-Angle Relationships in Acute Triangles*

Section 3.2 - Proving and Applying the Sine Law

Section 3.3 - Proving and Applying the Cosine Law

Section 3.4 - Solving Problems Using Acute Triangles

Section 3.2 - Proving and Applying the Sine Law

Section 3.3 - Proving and Applying the Cosine Law

Section 3.4 - Solving Problems Using Acute Triangles

*C) Oblique Triangle Geometry*

(Exploring the Primary Trigonometric Ratios of Obtuse Angles, Proving and Applying the Sine & Cosine Laws for Obtuse Triangles, The Ambiguous Case of the Sine Law, Solving Problems Using Obtuse Triangles)

(Exploring the Primary Trigonometric Ratios of Obtuse Angles, Proving and Applying the Sine & Cosine Laws for Obtuse Triangles, The Ambiguous Case of the Sine Law, Solving Problems Using Obtuse Triangles)

*Chapter 4: Oblique Triangle Geometry*

*PLO's - Solve problems that involve the cosine law and the sine law, including the ambiguous case.**Section 4.1 - Exploring the Primary Trigonometric Ratios of Obtuse Angles*

Section 4.2 - Proving and Applying the Sine & Cosine Laws for Obtuse Triangles

Section 4.3 - The Ambiguous Case of the Sine Law

Section 4.4 - Solving Problems Using Obtuse Triangles

Section 4.2 - Proving and Applying the Sine & Cosine Laws for Obtuse Triangles

Section 4.3 - The Ambiguous Case of the Sine Law

Section 4.4 - Solving Problems Using Obtuse Triangles

__Unit 3 - Statistics__Statistical Reasoning

(Exploring Data, Frequency Tables, Histograms, and Frequency Polygons, Standard Deviation, The Normal Distribution, Z-Scores and Confidence Intervals)

*Chapter 5: Statistical Reasoning*

*PLO's - Demonstrate an understanding of normal distribution (standard deviation, z-scores); Interpret statistical data, using:*

• confidence intervals

• confidence levels

• margin of error.• confidence intervals

• confidence levels

• margin of error.

*Section 5.1 - Exploring Data*

Section 5.2 - Frequency Tables, Histograms, and Frequency Polygons

Section 5.3 - Standard Deviation

Section 5.4 - The Normal Distribution

Section 5.5 - Z-Scores

Section 5.6 - Confidence Intervals

Section 5.2 - Frequency Tables, Histograms, and Frequency Polygons

Section 5.3 - Standard Deviation

Section 5.4 - The Normal Distribution

Section 5.5 - Z-Scores

Section 5.6 - Confidence Intervals

__Unit 4 - Relations & Functions__A) Systems of Linear Inequalities

(Graphing Linear Inequalities in Two Variables and Exploring Graphs, Optimizing Problems by Creating the Models, Exploring Solutions, and Linear Programming)

*Chapter 6: Systems of Linear Inequalities*

*PLO's - Model and solve problems that involve systems of linear inequalities in two variables.**Section 6.1 - Graphing Linear Inequalities in Two Variables*

Section 6.2 - Exploring Graphs of Systems of Linear Inequalities

Section 6.3 - Graphing to Solve Systems of Linear Inequalities

Section 6.4 - Optimizing Problems I: Creating the Models

Section 6.5 - Optimizing Problems II: Exploring Solutions

Section 6.6 - Optimizing Problems III: Linear Programming

Section 6.2 - Exploring Graphs of Systems of Linear Inequalities

Section 6.3 - Graphing to Solve Systems of Linear Inequalities

Section 6.4 - Optimizing Problems I: Creating the Models

Section 6.5 - Optimizing Problems II: Exploring Solutions

Section 6.6 - Optimizing Problems III: Linear Programming

B) Quadratic Functions & Equations

(Exploring Quadratic Relations, Properties of Graphs of Quadratic Functions, Solving Quadratic Equations by Graphing and Formula, Factored Form of a Quadratic Function, Vertex Form of a Quadratic Function, Solving Problems Using Quadratic Models)

*Chapter 7: Quadratic Functions & Equations*

*PLO's - Demonstrate an understanding of the characteristics of quadratic functions, including:*

• vertex

• intercepts

• domain and range

• axis of symmetry.• vertex

• intercepts

• domain and range

• axis of symmetry.

*Section 7.1 - Exploring Quadratic Relations*

Section 7.2 - Properties of Graphs of Quadratic Functions

Section 7.3 - Solving Quadratic Equations by Graphing

Section 7.4 - Factored Form of a Quadratic Function

Section 7.5 - Solving Quadratic Equations by Factoring

Section 7.6 - Vertex Form of a Quadratic Function

Section 7.7 - Solving Quadratic Equations Using the Quadratic Formula

Section 7.8 - Solving Problems Using Quadratic Models

Section 7.2 - Properties of Graphs of Quadratic Functions

Section 7.3 - Solving Quadratic Equations by Graphing

Section 7.4 - Factored Form of a Quadratic Function

Section 7.5 - Solving Quadratic Equations by Factoring

Section 7.6 - Vertex Form of a Quadratic Function

Section 7.7 - Solving Quadratic Equations Using the Quadratic Formula

Section 7.8 - Solving Problems Using Quadratic Models

__Unit 5 - Measurement__Proportional Reasoning

(Comparing and Interpreting Rates, Solving Problems That Involve Rates, Scale Diagrams, Scale Factors and Areas of 2-D Shapes, Similar Objects: Scale Models & Diagrams, Scale Factors and 3-D Objects)

*Chapter 8: Proportional Reasoning*

*PLO's - Solve problems that involve the application of rates; Solve problems that involve scale diagrams, using proportional reasoning; Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects.**Section 8.1 - Comparing and Interpreting Rates*

Section 8.2 - Solving Problems That Involve Rates

Section 8.3 - Scale Diagrams

Section 8.4 - Scale Factors and Areas of 2-D Shapes

Section 8.5 - Similar Objects: Scale Models & Diagram

Section 8.6 - Scale Factors and 3-D Objects

Section 8.2 - Solving Problems That Involve Rates

Section 8.3 - Scale Diagrams

Section 8.4 - Scale Factors and Areas of 2-D Shapes

Section 8.5 - Similar Objects: Scale Models & Diagram

Section 8.6 - Scale Factors and 3-D Objects

*This course follows provincial designed curriculum to meet the ministry of education prescribed learning outcomes. Course material is subject to change at the discretion of the teacher.*

**Course Evaluation:**

Homework – 60%

Tests – 20%

Quizzes – 10%

Attendance – 10%

**Expectations:**

1) Students arrive on time and come prepared to each class with textbook, workbook, pencils, paper, and calculator.

2) Students abide by the NO CELL PHONE school policy and leave these at home, in their locker, or in the classroom holding box. If a student is caught with a cell phone the first offense is to have it taken away for the remainder of the class. Second offense the cell phone will be given to administration for the remainder of the day. Third offense the cell phone must be picked up by a parent/guardian.

3) Students are expected to complete homework daily. Students should be spending at least 1-hour daily reviewing assignments in order to be successful in the course.

**Textbook & Student Workbook Used:**

Nelson Foundation of Mathematics