Year 12

Equations

• Learn - Equations
• 1.1 - Evaluate linear equations
• 1.2 - Evaluate linear equations: word problems
• 1.3 - Evaluate absolute value equations
• 1.4 - Find the value of the slop
• 1.5 - Linear equation word problems

Inequalities

• Learn - Inequalities
• 2.1 - Inequalities from graphs
• 2.2 - Linear inequality: word problems
• 2.3 - Linear inequalities
• 2.4 - Absolute value inequalities
• 2.5 - Quadratic functions
• 2.6 - Inequalities practical problems
• 2.7 - Review on Inequalities

Functions

• Learn - Function and graph
• 3.1 - Identifying functions
• 3.2 - Evaluating functions
• 3.3 - Find values using function graphs
• 3.4 - Complete a table for a function graph

Simultaneous equations

• Learn - Simultaneous equations and non-linear
• 4.1 - Is (x, y) a solution to the simultaneous equations?
• 4.2 - Solving non-linear simultaneous equations

Factorising

• Learn - Factorize of monomial and polynomials
• 5.1 - Factorizing out a monomial
• 5.2 - Factorizing polynomials
• 5.3 - Evaluating polynomials

Polynomials

• Learn - Polynomial
• 6.1 - Polynomial vocabulary
• 6.2 - Add and subtract polynomials
• 6.3 - Multiply polynomials
• 6.4 - Write a polynomial from its roots
• 6.5 - Find the roots of factorized polynomials

Radical functions and expressions

• Learn - Roots of integers and radical expression
• 7.1 - Roots of integers
• 7.2 - Find roots using a calculator
• 7.3 - Nth roots
• 7.4 - Simplify radical expressions with variables
• 7.5 - Solve radical equations
• 7.6 - Add and subtract radical expressions
• 7.7 - Simplify radical expressions using the distributive property

Sequences and series

• Learn - Recursive and geometric sequence
• 8.1 - Find terms of a geometric sequence
• 8.2 - Partial sums of geometric series
• 8.3 - Find terms of a recursive sequence

Probability

• Learn - Factorials
• 9.1 - Introduction to probability
• 9.2 - Theoretical and experimental probability
• 9.3 - Calculate probabilities of events
• 9.4 - Permutations
• 9.5 - Counting principle
• 9.6 - Probability questions review
• 9.7 - Correct or incorrect three digits

Statistics

• Learn - Mean, mode, range and median
• 10.1 - Mean, median, mode and range
• 10.2 - Mean absolute deviation
• 10.3 - mean, median and mode review

Introduction to derivatives

• Learn - Average rate of change
• 11.1 - Average rate of change I
• 11.2 - Average rate of change II
• 11.3 - Velocity as a rate of change

Exponential functions

• Learn - Exponential function
• 12.1 - Evaluate exponential functions
• 12.2 - Solve exponential equations by factorizing
• 12.3 - Solve exponential equations using common logarithms.
• 12.4 - Exponential growth and decay: word problems.

Parabolas

• Learn - Parabola
• 13.1 - Identify the direction of parabola
• 13.2 - Find the vertex of a parabola
• 13.3 - Find the axis of symmetry of a parabola
• 13.4 - Find properties of a parabola from equations in general form
• 13.5 - Word problems
• 13.6 - Parabola advance level

Function operations

• Learn - Function
• 14.1 - Add and subtract functions
• 14.2 - Multiply functions
• 14.3 - Divide functions
• 14.4 - Composition of linear functions: find a value
• 14.5 - Composition of linear functions: find an equation
• 14.6 - Composition of linear and quadratic functions: find a value

Logarithms

• Learn - Logarithm
• 15.1 - Convert between exponential and logarithmic form: rational bases
• 15.2 - Evaluate logarithms
• 15.3 - Product property of logarithms
• 15.4 - Power property of logarithms
• 15.5 - Quotient property of logarithms
• 15.6 - Properties of logarithms: mixed review
• 15.7 - Evaluate logarithms: mixed review

Trigonometry

• Learn - Inverse trigonometric functions
• 16.1 - Inverses of sin, cos and tan
• 16.2 - Inverses of csc, sec and cot
• 16.3 - Find trigonometric functions using a calculator
• 16.4 - Solve a triangle
• 16.5 - Trigonometric ratios: sin, cos and tan
• 16.6 - Trigonometric ratios: csc, sec and cot.

Trigonometric functions and identities

• Learn - Trigonometric functions
• 17.1 - Find properties of sine functions
• 17.2 - Find properties of cosine functions
• 17.3 - Complementary angle identities
• 17.4 - Symmetry and periodicity of trigonometric functions
• 17.5 - Trigonometric problems
• 17.6 - Half, double, quotient identities

Circles

• Learn - Central and inscribed angle
• 18.1 - Central angles
• 18.2 - Inscribed angles
• 18.3 - Angles in inscribed quadrilaterals
• 18.4 - Angles in inscribed right triangles
• 18.5 - Find the center of a circle
• 18.6 - Find the radius or diameter of a circle
• 18.7 - Convert equations of circles from general to standard form
• 18.8 - Find properties of circles from equations in general form
• Learn - Area sector of a circle
• 18.9 - Area of a circular sector
• 18.10 - Circumference and diameter of circle

Continuity

• Learn - Continuity
• 19.1 - Identify graphs of continuous functions
• 19.2 - Determine continuity using graphs
• 19.3 - Determine continuity on an interval using graphs
• 19.4 - Find and analyses points of discontinuity using graphs
• 19.5 - Determine one-sided continuity using graphs
• 19.6 - Continuous function

Linear functions and domain

• Learn - Linear functions and domain
• 20.1 - Finding the gradient of a linear function
• 20.2 - Write linear equations in point-gradient form
• 20.3 - Write linear equations in standard form
• 20.4 - Domain and range

Types of simultaneous equations

• Learn - Types of simultaneous equations
• 21.1 - Evaluating simultaneous equations using substitution: word problems
• 21.2 - Evaluating simultaneous equations using elimination
• 21.3 - Evaluating simultaneous equations using any method
• 21.4 - Evaluating simultaneous equations using substitution
• 21.5 - Word problems
• 21.6 - Simultaneous equations revision

Factorization of quadratic equations

• Learn - Factorization of quadratic equations
• 22.1 - Factorizing quadratics
• 22.2 - Factories using a quadratic pattern
• 22.3 - Factorizing by grouping
• 22.4 - Factorizing sums and differences of cubes
• 22.5 - Find the missing values

Fundamental theorem of algebra and Descartes' rule of signs

• Learn - Fundamental theorem of algebra and Descartes’ rule of signs
• 23.1 - Fundamental theorem of algebra
• 23.2 - Descartes' rule of signs

Arithmetic sequence

• Learn - Arithmetic sequence
• 24.1 - Find terms of an arithmetic sequence
• 24.2 - Evaluate formulas for sequences
• 24.3 - Write a formula for an arithmetic sequence
• 24.4 - Introduction to partial sums
• 24.5 - Partial sums of arithmetic series

Factorials

• Learn - Probability
• 25.1 - Factorials

Quartiles

• Learn - Quartiles
• 26.1 - Quartiles
• 26.2 - Identify biased samples
• 26.3 - Variance and standard deviation
• 26.4 - Quartiles practice questions

Power rule

• Learn - Power rule
• 27.1 - Solving power rule
• 27.2 - Power rule I
• 27.3 - Power rule II

Polynomials

• Learn - Polynomial
• 28.1 - Find derivatives of polynomials
• 28.2 - Find second derivatives of polynomials
• 28.3 - Substitution and elimination method

Logarithmic functions

• Learn - Logarithmic functions
• 29.1 - Solve logarithmic equations I
• 29.2 - Solve logarithmic equations II
• 29.3 - Advance logarithm questions
• 29.4 - Laws of logarithm

Inverse

• Learn - Inverse
• 30.1 - Identify inverse functions
• 30.2 - Inverse and composition functions

Pythagoras' theorem

• Learn - Pythagoras theorem
• 31.1 - Pythagoras' theorem and its converse
• 31.2 - Pythagoras theorem problems