Overview
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Learning activities
Learning outcomes
Appreciate the scope and usefulness of mathematics;
Reason in a broad range of mathematical contexts;
Apply mathematical techniques to the solution of practical problems;
Express practical problems in mathematical terms based on simple given models;
Demonstrate understanding of key concepts of calculus and be able to differentiate a range of functions.
Assessments
Additional information
Real Numbers
Absolute Values and Distance
Algebraic Expressions
Rational Expressions
Equations
Modelling with Equations
Inequalities
Coordinated Geometry
Lines
Defining a Function
Graphs of Functions
Getting Information from the Graph of a Function
Average Rate of Change of a Function
Transformation of Functions
Quadratic Functions and Models
Polynomial Functions and their Graphs
Exponential Functions
The Natural Exponential Function
Logarithmic Functions
Laws of Logarithms
Exponential and Logarithmic Equations
Modelling with Exponential and Logarithmic Functions
Finding Limits Numerically & Graphically
Basic Rules of Differentiation
Tangent Lines and Derivatives
Limits at Infinity
Trigonometry of Right Triangles
Inverse Trigonometric Functions and Right Triangles
The Law of Sines and the Law of Cosines