![]() All in One PlaceEverything you need for better marks in university, secondary, and primary classes. | ![]() Learn with EaseWe’ve mastered courses for WA, NSW, QLD, SA, and VIC, so you can study with confidence. | ![]() Instant and Unlimited HelpGet the best tips, walkthroughs, and practice questions. |
![]() | ![]() | ![]() |
Make math click 💡 and get better grades! Join for Free
1Solving Linear Equations
2Introduction to Relations and Functions
3Linear Functions
- 3.1Distance formula:
- 3.2Midpoint formula:
- 3.3Gradient equation:
- 3.4Gradient intercept form: y = mx + b
- 3.5General form: Ax + By + C = 0
- 3.6Gradient-point form:
- 3.7Rate of change
- 3.8Graphing linear functions using table of values
- 3.9Graphing linear functions using x- and y-intercepts
- 3.10Graphing from slope-intercept form y=mx+b
- 3.11Graphing linear functions using a single point and gradient
- 3.12Word problems of graphing linear functions
- 3.13Parallel and perpendicular lines in linear functions
- 3.14Applications of linear relations
- 3.1Distance formula:
4Linear Equations
- 4.1Introduction to linear equations
- 4.2Introduction to nonlinear equations
- 4.3Special case of linear equations: Horizontal lines
- 4.4Special case of linear equations: Vertical lines
- 4.5Parallel line equation
- 4.6Perpendicular line equation
- 4.7Combination of both parallel and perpendicular line equations
- 4.8Applications of linear equations
- 4.1Introduction to linear equations
5Quadratic Functions
- 5.1Introduction to quadratic functions
- 5.2Transformations of quadratic functions
- 5.3Quadratic function in general form: y = ax^2 + bx + c
- 5.4Quadratic function in vertex form: y = a(x-p)^2 + q
- 5.5Completing the square
- 5.6Converting from general to vertex form by completing the square
- 5.7Shortcut: Vertex formula
- 5.8Graphing quadratic functions: General form VS. Vertex form
- 5.9Finding the quadratic functions for given parabolas
- 5.10Applications of quadratic functions
- 5.1Introduction to quadratic functions
6Solving Quadratic Equations
7Functions
8Transformations of Functions
- 8.1Transformations of functions: Horizontal translations
- 8.2Transformations of functions: Vertical translations
- 8.3Reflection across the y-axis: y = f(-x)
- 8.4Reflection across the x-axis: y = -f(x)
- 8.5Transformations of functions: Horizontal stretches
- 8.6Transformations of functions: Vertical stretches
- 8.7Combining transformations of functions
- 8.8Even and odd functions
- 8.1Transformations of functions: Horizontal translations
9Factorisation
10Conics
11Trigonometric Ratios and Angle Measure
- 11.1Angle in standard position
- 11.2Coterminal angles
- 11.3Reference angle
- 11.4Find the exact value of trigonometric ratios
- 11.5ASTC rule in trigonometry (All Students Take Calculus)
- 11.6Unit circle
- 11.7Converting between degrees and radians
- 11.8Trigonometric ratios of angles in radians
- 11.9Radian measure and arc length
- 11.1Angle in standard position
12Sine Rule and Cosine Rule
13Bearings
14Graphing Trigonometric Functions
15Applications of Trigonometric Functions
16Trigonometric Identities
17Solving Trigonometric Equations
- 17.1Solving first degree trigonometric equations
- 17.2Determining non-permissible values for trig expressions
- 17.3Solving second degree trigonometric equations
- 17.4Solving trigonometric equations involving multiple angles
- 17.5Solving trigonometric equations using pythagorean identities
- 17.6Solving trigonometric equations using sum and difference identities
- 17.7Solving trigonometric equations using double-angle identities
- 17.1Solving first degree trigonometric equations
18Permutations and Combinations
19Probability
20Indices
- 20.1Indices: Product rule (a^x)(a^y) = a^(x+y)
- 20.2Indices: Division rule (a^x / a^y) = a^(x-y)
- 20.3Indices: Power rule (a^x)^y = a^(x * y)
- 20.4Indices: Negative exponents
- 20.5Indices: Zero exponent: a^0 = 1
- 20.6Indices: Rational exponents
- 20.7Combining laws of indices
- 20.8Scientific notation
- 20.9Convert between radicals and rational exponents
- 20.10Solving for indices
- 20.1Indices: Product rule (a^x)(a^y) = a^(x+y)
21Exponential Functions
22Applications of Exponential Functions
23Logarithmic Functions
- 23.1What is a logarithm?
- 23.2Converting from logarithmic form to exponential form
- 23.3Evaluating logarithms without a calculator
- 23.4Common logarithms
- 23.5Natural log: ln
- 23.6Evaluating logarithms using change-of-base formula
- 23.7Converting from exponential form to logarithmic form
- 23.8Solving exponential equations with logarithms
- 23.9Product rule of logarithms
- 23.10Quotient rule of logarithms
- 23.11Combining product rule and quotient rule in logarithms
- 23.12Evaluating logarithms using logarithm rules
- 23.13Solving logarithmic equations
- 23.14Graphing logarithmic functions
- 23.15Finding a logarithmic function given its graph
- 23.1What is a logarithm?
24Applications of Logarithmic Functions
25Sequences and Series
26Limits and Derivatives
- 26.1Finding limits from graphs
- 26.2Definition of derivative
- 26.3Power rule
- 26.4Slope and equation of tangent line
- 26.5Chain rule
- 26.6Derivative of trigonometric functions
- 26.7Derivative of exponential functions
- 26.8Product rule
- 26.9Quotient rule
- 26.10Implicit differentiation
- 26.11Derivative of inverse trigonometric functions
- 26.12Derivative of logarithmic functions
- 26.13Higher order derivatives
- 26.1Finding limits from graphs
27Derivative Applications
28Integrals
29Integration Applications
30Normal Distribution and Z-score
31Discrete Probabilities
32Confidence Intervals
