Math 11 Foundations Paper

Course Info
Course Title: 
Math 11 Foundations Paper
Grade Level: 
11
Course Format: 
Paper
Teacher(s): 
P Conrad
Course Description
Description: 

Foundations of Mathematics (11 and 12) is a pathway designed to provide students with the mathematical understanding and critical-thinking skills identified for post-secondary studies in programs (i.e. business, arts, music and nursing) that do not require the study of theoretical calculus. Topics include financial mathematics, geometry, measurement, number, logical reasoning, relations and functions, statistics and probability.   The course is modeled on formative assessment where frequent practice, quizzes, assignments and practice tests with comprehensive feedback give the student extensive opportunity for comprehension of the concepts before the section tests.

 

Pre-requisites: 
It is recommended that students complete Foundations of Mathematics and Pre-Calculus 10
No. Exams: 
5
Proctored Exams: 
Yes
Resources: 

Foundations of Mathematics 11 text

Theory and Problems for Foundations of Mathematics 11 (Note: workbook is only refundable if it is returned unmarked and in marketable condition)


No. Modules: 
8
Course Modules: 

Section 1: Inductive and Deductive Reasoning

Lesson A Making Conjectures:  Inductive Reasoning

Lesson B Exploring the Validity of Conjectures 

Lesson C Using Reasoning to Find a Counterexample to a Conjecture

Lesson D Proving Conjectures:  Deductive Reasoning 

Lesson E Proofs That Are Not Valid

Lesson F Reasoning to Solve Problems

Lesson G Analyzing Puzzles and Games

 

Section 2: Properties of Angles and Triangles

Lesson A Exploring Parallel Lines

Lesson B Angles Formed by Parallel Lines

Assignment 2.1: Parallel Lines

Lesson C Angle Properties in Triangles

Lesson D Angle Properties in Polygons

 

Section 3: Acute Triangle Trigonometry

Lesson A Side Angle Relationships in Acute Triangles

Lesson B Proving and Applying the Sine Law

Lesson C Cosine Law

Lesson D Problems Using Acute Triangles


Section 4: Obliques Triangle Trigonometry

Lesson A Primary Trigonometric Ratios of Obtuse Angles

Lesson B Sine and Cosine Laws of Obtuse Triangles

Lesson C The Ambiguous Case of the Sine Law

Lesson D Problems Using Obtuse Triangles

 

Section 5: Statistical Reasoning

Lesson A Exploring Data

Lesson B Frequency Tables, Histograms, Frequency Polygons

Lesson C Standard Deviation

Lesson D The Normal Distribution

Lesson E Z-Scores

Lesson F Confidence Intervals

 

Section 6: Systems of Linear Inequalities

Lesson A Graphing Linear Inequalities in Two Variables

Lesson B Exploring Graphs of Systems of Linear Inequalities

Lesson C Graphs to Solve Systems of Linear Inequalities

Lesson D Optimization Problems I:  Creating the Model

Lesson E Optimization Problems II:  Exploring Solutions

Lesson F Optimization Problems III:  Linear Programming


Section 7: Quadratic Functions and Equations

Lesson A Exploring Quadratic Relations

Lesson B Properties of Graphs of Quadratic Functions

Lesson C Solving Quadratic Equations by Graphing

Lesson D Factored Form of a Quadratic Function

Lesson E Solving Quadratic Equations by Factoring

Lesson F Vertex Form of a Quadratic Function

Lesson G Solving Quadratic Equations Using the Quadratic Formula

Lesson H Solving Problems Using Quadratic Models

 

Section 8: Proportional Reasoning

Lesson A Comparing and Interpreting Rates

Lesson B Solving Problems That Involve Rates

Lesson C Scale Diagrams

Lesson D Scale Factors and Areas in 2-D Shapes

Lesson E Similar Objects:  Scale Models and Scale Diagrams

Lesson F Scale Factors and 3-D Objects

 

Final Exam

Textbook Deposit: 
$100.00

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