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 1.5 - Proofs That Are Not Valid
Section 1.6 - Reasoning to Solve Problems
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
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
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)
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
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.
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
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
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.
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
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
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
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 1.5 - Proofs That Are Not Valid
Section 1.6 - Reasoning to Solve Problems
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
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
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)
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
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.
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
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
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.
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
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
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