Foundations 11 is a course designed to equip students with the mathematical skills required for entering post-secondary institutions in programs that do not require the study of theoretical calculus. Mathematics is one way of trying to understand, interpret, and describe our world. Components integral to the nature of mathematics include change, constancy, number sense, patterns, relationship, reasoning, and spatial sense. These components are woven throughout this course.
1.1 Making Conjectures - Inductive Reasoning
1.2 Exploring the Validity of Conjecture
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
2.1 - 2.2 Angles Formed by Lines and Transversals
2.3 Angles Properties in Triangles
2.4 Angles Properties in Polygons
5.1 - 5.2 Frequency Table, Histograms, and Frequency Polygons
5.3 Standard Deviation
5.4 The Normal Distribution
5.5 Z-Scores
5.6 Confidence Intervals
Systems of Linear Equations
6.1 Graphing Linear Inequalities
6.2 Graphing to Solve Systems of Linear Inequalities
6.3 Optimization Problems (Part I)
6.4 Optimization Problems (Part II)
Factoring Review
7.1 Quadratic Relations
7.2 Properties of Quadratic Functions
7.3 Solving Quadratic Equation by Graphing
7.4 Factored form of a Quadratic Function
7.5 Solving Quadratic Equation by Factoring
7.6 Vertex Form of a Quadratic Function
7.7 Solving Quadratic Equation using the Quadratic Formula
7.8 Solving Problems using Quadratic Models
X.1 Simple and Compound Interest
X.2 Compound Interest (Present Value)
X.3 Analyzing Loans
8.1 Comparing and Interpreting Rates
8.2 Solving Problems that Involve Rates
8.3 Scale Diagrams
8.4 Scale Factors and Areas of 2D Shapes
8.5 Scale Models and Scale Diagrams
8.6 Scale Factors and 3D Objects