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