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Maths Years 9/10 - List of Topics

The Maths Years 9/10 course includes the following topics:

Measurement and Magnitude

Precision Scientific Notation

Proportion and Rates

Ratio and Proportion Direct Proportion
Inverse Proportion Rates

Geometrical Figures

Perimeter Area
Surface Area - Prisms and Cylinders Volume - Prisms and Cylinders
Surface Area - Cones, Pyramids and Spheres Volume - Cones, Pyramids and Spheres

Financial Mathematics

Income Tax Discounts
Time Payments Simple Interest
Loan Repayments Compound Interest
Depreciation  

Indices

Index Rules Fractional Indices
Equations Involving Indices  

Algebraic Methods

Algebraic Expressions Working with Algebraic Expressions
Simple Algebraic Fractions Quadratic Expressions
Complex Algebraic Fractions  

Equations

Formulas and Equations Simple Equations
Inequations Quadratic Equations
The Quadratic Formula Cubics and More Complex Quadratics
Linear Simultaneous Equations Non-Linear Simultaneous Equations

Numbers

Rational and Irrational Numbers Square Roots
Surds  

Linear Relationships

Points and Distances Gradients of Lines
Equations of Lines Intersections of Lines
Collinearity and Concurrence  

Non-Linear Relationships

The Parabola Properties of a Parabola
Circles The Exponential
The Hyperbola Cubics and Higher Powers
Intersections of Graphs  

Right Triangles and Trigonometry

Right Angle Trigonometry Exact Trigonometric Ratios
Angles of any Magnitude Angles of Elevation. Bearings
Sine Rule. Area of a Triangle Cosine Rule
Three Dimensional Trigonometry Trigonometric Functions

Geometry - Lines and Angles

Lines and Angles Parallel Lines

Geometry - Triangles and Quadrilaterals

Properties of Triangles Congruent Triangles
Quadrilaterals and Parallelograms Proofs and Parallelograms
Polygons Similarity
Similar Triangles Proving Similar Triangles

Single Variable Statistics

Summarising Data Displaying Summarised Data
Central Tendency and Dispersion Box Plots
Comparing Datasets Standard Deviation

Bivariate Data Analysis

Association Between Variables Prediction

Probability

Sets Probability
Successive Independent Events Successive Non-Independent Events
Conditional Probability  

Functions

Functions Inverses of Functions

Polynomials

Working With Polynomials Dividing Polynomials
Factor and Remainder Theorems Solving Polynomial Equations
Sketching Polynomials  

Logarithms

Logarithms Working With Logarithms
Solving Exponential and Logarithm Equations  

Geometry - Circles

Chords Angles
Cyclic Quadrilaterals Tangents
Intersecting Chords, Secants and Circles  

 

Samples