Imperial School
Teacher: Mrs. Schmale
lynda-rae.schmale@hzsd.ca
Foundations of Mathematics 20
This course is the second in the Foundations of Mathematics pathway of the Saskatchewan mathematics curriculum. You will need one math 20 level
course to graduate. This pathway is recommended for students who intend to go into the humanities or other areas of study that are not math
intensive, but for which math is a required prerequisite.
Classroom Requirements
These items must be brought to every class:
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Pencil and eraser
Math binder with loose-leaf
Calculator
Textbook
Resources:
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Class notes
Nelson Foundations of Mathematics 11
Evaluation:
Assignments – 30%
All pre-test assignments are due the day of the chapter exam.
Each chapter may also have other hand-in assignments.
Chapter Tests – 25%
These will occur at the end of most chapters.
Project – 15%
This project is an ongoing, semester-long project with a presentation at the end of the semester.
Final Exam – 30%
Semester Overview:
Chapter 1: Inductive and Deductive Reasoning
1.1 Making Conjectures: Inductive Reasoning
1.2 Exploring the Validity of Conjectures
1.3 Using Reasoning to Find a Counterexample to a Conjecture
1.4 Proving Conjectures: Deductive Reasoning
1.5 Proofs That Are Not Valid
1.6 Reasoning to Solve Problems
1.7 Analysing Puzzles and Games
Chapter 2: Properties of Angles and Triangles
2.1 Exploring Parallel Lines
2.2 Angles Formed by Parallel Lines
2.3 Angle Properties in Triangles
2.4 Angle Properties in Polygons
Chapter 3: Acute Triangle Trigonometry
3.1 Side-Angle Relationships in Acute Triangles
3.2 Proving and Applying the Sine Law
3.3 Proving and Applying the Cosine Law
3.4 Solving Problems Using Acute Triangles
Chapter 4: Oblique Triangle Trigonometry
4.1 Primary Trig Ratios of Obtuse Angles
4.2 Proving and Applying the Sine and Cosine Laws for Obtuse
Triangles
4.3 The Ambiguous Case of the Sine Law
4.4 Solving Problems Using Obtuse Triangles
Chapter 5: Statistical Reasoning
5.1 Exploring Data
5.2 Frequency Tables, Histograms, and Frequency Polygons
5.3 Standard Deviation
5.4 The Normal Distribution
5.5 Z-scores
5.6 Confidence Intervals
Chapter 6: Systems of Linear Equalities
6.1 Graphing Linear Equalities in Two Variables
6.2 Exploring Graphs of Systems of Linear Equalities
6.3 Graphing to Solve Systems of Linear Equalities
6.4 Optimization Problems 1: Creating the Model
6.5 Optimization Problems 2: Exploring Solutions
6.6 Optimization Problems 3: Linear Programming
Chapter 7: Quadratic Functions and Equations
7.1 Exploring Quadratic Relations
7.2 Properties of Graphs of Quadratic Functions
7.3 Solving Quadratic Equations by Graphing
7.4 Factored Form of a Quadratic Function
7.5 Solving Quadratic Equations by Factoring
7.6 Vertex Form of a Quadratic Function
7.7 Solving Quadratic Functions using the Quadratic Formula
7.8 Solving Problems Using Quadratic Models
Chapter 8: Proportional Reasoning
8.1 Comparing and Interpreting Rates
8.2 Solving Problems that Involve Rates
8.3 Scale Diagrams
8.4 Scale Factors and Areas of 2-D Shapes
8.5 Similar Objects: Scale Models and Scale Diagrams
8.6 Scale Factors and 3D Objects