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.