Unit 1: Measurement

Includes unit conversion, geometry and trigonometry

Unit 2: Radicals and exponents

Square roots and cube roots, as well as how to work with exponents

Unit 3: Polynomials

Expanding, simplifying and factoring simple polynomial expressions.

Unit 4: Relations and functions

Mapping and set notation, the idea of one-to-one relationships as functions.

Unit 5: Linear functions

Defining and graphing linear functions, interpreting graphs and data.

Unit 6: Linear systems

Solving linear systems of equations of two variables, using either substitution or elimination.

Topics include:

- Review of prior concepts
- Unit pricing and currency exchange
- Earning an income
- Length and area
- Fractions, surface area, volume and capacity
- Temperature, mass and conversions
- Angles and parallel lines
- Trigonometry of right angle triangles

The course consists of eight modules, eight unit exams and no final.

Unit 1: Sequences and series

Starts with geometric and arithmetic sequences, as well as their series counterparts.

Unit 2: Absolute value and radicals

Covers the use of absolute values, as well as solving radical equations (those involving square/cube roots).

Unit 3: Solving quadratic equations

Explores the various methods that can be used to solve quadratic equations (equations containing x - squared).

Unit 4: Analyzing quadratic equations

Classifying quadratic equations into solvable and unsolvable, as well as exploration of their graphical representation.

Unit 5: Inequalities and systems of equations

Explores algebraic and graphical methods for solving inequalities and systems of equations (those involving two or more variables).

Unit 6: Trigonometry

Extends the concept of trigonometry by placing it in a Cartesian coordinate system.

Unit 7: Rational expressions

Manipulating rational expressions (those involving fractions with variables in the numerator & denominator); solving rational equations.

Unit 8: Absolute value and reciprocal functions

Graphing functions involving absolute value and reciprocal functions as well as an introduction to the concept of invariance.

Unit 1: Inductive and deductive reasoning

Making conjectures based on observation and an introduction to the use of proofs.

Unit 2: Properties of angles and triangles

Extending the use of proofs to Euclidean geometry.

Unit 3: Acute angle trigonometry

Solving for angles and sides in triangles without a 90-degree angle.

Unit 4: Radicals

Manipulating expressions containing square roots and cube roots, as well as solving simple radical equations.

Unit 5: Statistical reasoning

The basics of representing statistics graphically as well as calculating mean, median, standard deviation and z-score.

Unit 6: Quadratic functions

Graphing quadratic functions and determining their characteristics (vertex, zeros).

Unit 7: Quadratic equations

Solving equations that involve x raised to the power of two.

Unit 8: Proportional reasoning

Applying the concept of scale and scaling factor to real world problems.

Unit 1: Review of prior concepts

Reviews essential mathematical skills from previous courses.

Unit 2: Slope and rates of change

The concept of slope and angle of elevation is applied to ramps, roofing and landscape grade.

Unit 3: Graphs and data

Explores different ways that information can be organized into graphical representations.

Unit 4: Surface area & volume

Students learn how to calculate the surface area and volume of various geometrical objects.

Unit 5: Trigonometry

Applies the basics of right angle trigonometry to various situations such as architecture and surveying.

Unit 6: Scale representations

Applying the concept of scaling factor and component diagrams to real world problems.

Unit 7: Financial services

Students learn how to choose a bank, calculate interest on credit card charges and on investments.

Unit 8: Personal budget

Explores how to create a balanced monthly budget based on income and recurring monthly expenses.

Unit 1: Radical functions and rational expressions

Studies how to graph, transform and solve radical and rational equations.

Unit 2: Transformations

Introduction to transformations of functions (stretch, reflection, inversion); the concept of invariance is applied to functions as well.

Unit 3: Logarithms and exponentials

Logarithms are introduced as a way to solve exponential equations; an in-depth look at both logarithmic and exponential graphing is done.

Unit 4: Trigonometry I

Focuses on understanding the relationship between Pythagorus' theorem and the unit circle; the concept of radians as a means to measure both arc length and angle is introduced.

Unit 5: Trigonometry II

Focuses primarily on the solving of Trigonometric equations and the proving of trigonometric identities.

Unit 6: Permutations and combinations

Studies the ways that large quantities of objects and arrangements can be calculated.

Unit 1: Set theory

Students learn to organise data into sets and make logical deductions based on that information.

Unit 2: Counting methods

An introduction to counting methods such as combinations and permutations.

Unit 3: Probability

Applies the concepts of the previous unit to calculate probabilities of various outcomes.

Unit 4: Rational expressions and equations

Manipulating rational expressions (those involving fractions with variables in the numerator & denominator) and solving rational equations.

Unit 5: Polynomial functions

Students learn to graph polynomial functions and interpret various properties from their respective equations.

Unit 6: Exponential functions

The concept of putting a variable in place of a power is introduced (e.g. 3 to power x), and methods to plot and analyze these graphs is studied.

Unit 7: Logarithmic functions

Logarithms are introduced as a way to solve exponential equations; an introduction to logarithmic graphing of data is given.

Unit 8: Sinusoidal functions

Graphing sinusoidal functions is the primary purpose of this unit; the concept of radians as a means to measure angle is also introduced.

Part I: Reviews the essential algebraic skills that are needed for the course and explores the concept of continuity more carefully.

Part II: Puts the ideas of asymptotes on firmer ground through the use of limit statements.

Part III: Introduction to the slope of curved lines and non-constant rates of change as applied to polynomial, trigonometric, and exponential functions.

Part IV: Introduction to the calculus of integration as a means to calculate the area under curves.