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General Maths Topics

\frac{o}{h}

)

Use cosine ratio to calculate angles and sides (Cos =

\frac{a}{h}

)

Use tangent ratio to calculate angles and sides (Tan =

\frac{o}{a}

)

Combination of SohCahToa questions

Solving expressions using 45-45-90 special right triangles

Solving expressions using 30-60-90 special right triangles

Word problems relating ladder in trigonometry

Word problems relating guy wire in trigonometry

Other word problems relating angles in trigonometry

Sine Rule and Cosine Rule

Sine rule

Cosine rule

Sine rule and cosine rule word problems

Bearings

Introduction to bearings

Bearings and direction word problems

Angle of elevation and depression

Linear Functions

Distance formula:

d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Midpoint formula:

M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)

Gradient equation:

m = \frac{y_2-y_1}{x_2- x_1}

Gradient intercept form: y = mx + b

General form: Ax + By + C = 0

Gradient-point form:

y - y_1 = m (x - x_1)

Rate of change

Graphing linear functions using table of values

Graphing linear functions using x- and y-intercepts

Graphing from slope-intercept form y=mx+b

Graphing linear functions using a single point and gradient

Word problems of graphing linear functions

Parallel and perpendicular lines in linear functions

Applications of linear relations

Perpendicular line equation

Simultaneous Equations

Determining number of solutions to linear equations

Solving simultaneous linear equations by graphing

Solving simultaneous linear equations by elimination

Solving simultaneous linear equations by substitution

Unknown number related questions in linear equations

Distance and time related questions in linear equations

Rectangular shape related questions in linear equations

Simultaneous linear-quadratic equations

Simultaneous quadratic-quadratic equations

Solving 3 variable simultaneous equations by substitution

Solving 3 variable simultaneous equations by elimination

Solving 3 variable simultaneous equations with no or infinite solutions

Word problems relating 3 variable simultaneous equations

Operations with Algebraic Expressions

Simplifying algebraic fractions and restrictions

Adding and subtracting algebraic fractions

Multiplying algebraic fractions

Dividing algebraic fractions

Solving equations with algebraic fractions

Applications of equations with algebraic fractions

Simplifying complex fractions

Partial fraction decomposition

Reciprocal Functions

Graphing reciprocals of linear functions

Graphing reciprocals of quadratic functions

Statistics

Classification of data

Median and mode

Mean

Range and outliers

Application of averages

Frequency distribution and histograms

Spread of a data set - standard deviation & variance

Measures of relative standing - z-score, quartiles, percentiles

Bivariate Data

Scatter plots and correlation

Regression analysis

Equation of the best fit line

Sequences

Arithmetic sequences

Geometric sequences

Introduction to Matrices

Notation of matrices

Adding and subtracting matrices

Scalar multiplication

Matrix multiplication

The three types of matrix row operations

Representing a linear system as a matrix

Solving a linear system with matrices using Gaussian elimination

Properties of Matrices

Zero matrix

Identity matrix

Properties of matrix addition

Properties of scalar multiplication

Properties of matrix multiplication

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