Unit 1 – Quadratic Functions

• C4 demonstrate an understanding of patterns that are arithmetic, power, and geometric and relate them to corresponding functions
• C29 analyse tables and graphs to distinguish between linear, quadratic, and exponential functions
• C3 sketch tables and graphs from descriptions and collected data
• C1 model real-world phenomena using quadratic functions
• C8 describe and translate between graphical, tabular, written, and symbolic representations of quadratic relationships
• C31 analyse and describe the characteristics of quadratic functions
• A7 describe and interpret domains and ranges using set notation
• F1 analyse, determine, and apply scatter plots and determine the equations for curves of best fit, using appropriate technology
• C23 solve problems involving quadratic equations
• C32 demonstrate an understanding of how the parameter changes affect the graphs of quadratic functions
• C10 (adv) determine the equation of a quadratic function using finite differences
• C9 translate between different forms of quadratic equations
• B1 demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations
• C22 solve quadratic equations
• B10 derive and apply the quadratic formula
• B11 (adv) analyse the quadratic formula to connect its components to the graphs of quadratic functions
• A4 demonstrate an understanding of the nature of the roots of quadratic equations
• C15 relate the nature of the roots of quadratic equations and the x-intercepts of the graphs of the corresponding functions
• A9 represent non-real roots of quadratic equations a complex numbers
• A3 demonstrate an understanding of the role of irrational numbers in applications

Unit 2 – Exponential Growth

• C2 model real-world phenomena using exponential functions
• B2 demonstrate an understanding of the recursive nature of exponential growth
• C25 solve problems involving exponential and logarithmic equations
• C11 describe and translate between graphical, tabular, written and symbolic representations of exponential and logarithmic relationships
• C4 demonstrate an understanding of patterns that are arithmetic, power, and geometric and relate them to corresponding functions
• C33 analyse and describe the characteristics of exponential and logarithmic functions
• C29 analyse tables and graphs to distinguish between linear, quadratic, and exponential functions
• A7 describe and interpret domains and ranges using set notation
• C34 demonstrate an understanding of how the parameter changes affect the graphs of exponential functions
• A5 demonstrate an understanding of the role of real numbers in exponential and logarithmic expressions and equations
• C3 sketch tables and graphs from descriptions and collected data
• F1 analyse, determine, and apply scatter plots and determine the equations for curves of best fit, using appropriate technology
• C35 (adv) write exponential functions in transformational form and as mapping rules to visualize and sketch graphs
• B1 demonstrate an understanding of the relationships that exist between arithmetic operations and the operations used when solving equations
• B12 apply real number exponents in expressions and equations
• C24 solve exponential and logarithmic equations
• C19 demonstrate and understanding, algebraically and graphically, that the inverse of an exponential function is a logarithmic function
• B13 demonstrate an understanding of the properties of logarithms and apply them

Unit 3 – Circle Geometry

• E4 apply properties of circles
• E5 apply inductive reasoning to make conjectures in geometric situations
• E11 write proofs using various axiomatic systems and assess the validity of deductive arguments
• E7 investigate, make, and prove conjecturers associated with chord properties of circles
• E8 (adv) investigate, make, and prove conjectures associated with angle relationships in circles
• E12 demonstrate an understanding of the concept of converse
• D1 develop and apply formulas for distance and midpoint
• E15 (adv) solve problems involving the equations and characteristics of circles and ellipses
• E13 (adv) analyse and translate between symbolic, graphical, and written representations of circles and ellipses
• E3 (adv) write the equations of circles and ellipses in transformational form and as mapping rules to visualize and sketch graphs
• E16 (adv) demonstrate the transformational relationship between the circle and the ellipse
• E14 (adv) translate between different forms of equations of circles and ellipses

Unit 4 – Probability

• G2 demonstrate an understanding that determining probability requires the quantifying of outcomes
• G3 demonstrate an understanding of the fundamental counting principle and apply it to calculate probabilities of dependent and independent events
• G4 apply area and tree diagrams to interpret and determine probabilities
• G5 (adv) determine conditional probabilities
• G1 develop and apply simulations to solve problems
• G7 distinguish between situations that involve combinations and permutations
• A6 develop an understanding of factorial notation and apply it to calculating permutations and combinations
• G8 develop and apply formulas to evaluate permutations and combinations
• B8 determine probabilities using permutations and combinations
• G10 (adv) connect Pascal's Triangle with combinatorial coefficients
• G9 (adv) demonstrate an understanding of binomial expansion and its connection to combinations