Combining Standard Functions With Arithmetic

Deriving Expressions & Processes From Context

Function Composition

Creating Invertible Functions By Domain Restriction

Reading Inverse Function Values From Graphs/tables

Solving Equations & Writing Inverse Functions

Verifying Inverse Functions By Composition

Graphing Polynomial Functions & Identifying Zeros

Graphing Rational Functions With Zeros & Asymptotes

Graphing Root, Piecewise, Step & Absolute Value Functions

Applying The Laws Of Exponents To Interpret Expressions For Exponential Functions

Expressing The Solution Of Exponential Models (ab^(ct) = D) Where The Base Is B As Logarithms Using Technology

Observing That A Quantity Increasing As An Exponential Function Eventually Exceeds A Quantity Increasing As A Polynomial Function

Solving Real-world Problems Involving Exponential And/or Logarithmic Functions (including Modelling)

Understanding And Using The Inverse Relationship Between Exponential And Logarithmic Functions To Solve Problems

Graphing Exponential, Logarithmic & Trigonometric Functions

Graphing Exponential Functions (including Growth/decay), Showing Intercepts And End Behavior

Graphing Logarithmic Functions, Showing Intercepts And End Behavior

Performing Multiple Transformations On Different Exponential/logarithmic Functions (including Writing The Final Function)

Identifying Constant Percent Growth/decay

Proving Growth Patterns In Linear & Exponential Functions

Recognizing Constant Rate Of Change

Interpreting Exponential Functions

Applying The Laws Of Logarithms To Simplify/evaluate Expressions

Identifying And Evaluating Exponential Functions

Proving That Exponential Functions Grow Or Decay By Equal Factors Over Equal Intervals

Recognising Situations And Solving Problems In Which A Quantity Grows Or Decays By A Constant Percent Rate

Constructing An Exponential Function (including Geometric Sequences) From A Description

Constructing An Exponential Function (including Geometric Sequences) From A Graph

Constructing An Exponential Function (including Geometric Sequences) From A Set Of Input-output Pairs

Interpreting The Parameters In An Exponential Function In Terms Of A Context

Arithmetic & Geometric Sequences: Recursive & Explicit

Graphing Linear Functions And Showing Intercepts

Transformations On Absolute Value Linear Functions

Transformations On Linear Functions

Recognising Situations In Which One Quantity Changes At A Constant Rate With Respect To Another Quantity

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Description/equation

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Graph

Identifying/constructing A Linear Function (including Arithmetic Sequences) From A Set Of Input-output Pairs

Interpreting The Parameters Of A Linear Function In Terms Of A Context

Solving Real-world Problems Involving Quadratic Functions

Using The Process Of Factorisation/completing Square To Find/show Zeroes, Extreme Values And Symmetry On Graphs Of Quadratic Functions

Graphing Linear & Quadratic Functions

Graphing Quadratic Functions (including Showing Intercepts, Maxima Or Minima)

Transformations On Quadratic Functions

Interpreting Quadratic Graphs Via Factoring

Identifying Characteristics Of Quadratic Functions

Writing A Quadratic Function Under Specific Conditions

Applying The Pythagorean Identity (sin^2(θ) + Cos^2(θ) = 1) And Its Equivalent Identities To Find The Other Ratios

Applying The Addition And Subtraction Formulae For Sine, Cosine, And Tangent Functions

Applying The Addition And Subtraction Formulae For The Cosine Function

Applying The Addition And Subtraction Formulae For The Sine Function

Applying The Addition And Subtraction Formulae For The Tangent Function

Applying Trigonometric Identities To Solve Proof-type Questions

Applying Understanding Of The Unit Circle To Explain Symmetry (odd And Even Functions) And/or Periodicity

Evaluating And Interpreting The Solutions To Trigonometric Equations In Real-world Contexts Using Technology

Solving Real-world Problems Involving Trigonometric Functions (including Frequencies And Modelling)

Using Inverse Functions To Solve Trigonometric Equations

Using Inverse Functions To Solve Trigonometric Equations Using Technology And/or Intrepret The Solutions

Graphing The Sine And Cosine Functions (including Transformations)

Understanding And Using The Unit Circle To Extend Trigonometric Functions To All Real Numbers (both Degrees And Radians)