##### Term 1 Week 1-3: Algebraic expressions

Real number system

Rounding off real numbers

Establish between which two integers a given simple surd lies

Multiplying a binomial by a trinomial (products)

Manipulate algebraic expressions by factorising

• Factorising by grouping in pairs

• Factorising trinomials

- Video (Interesting method)

• Factorising the difference and sums of two cubes

Simplifying, adding and subtracting algebraic fractions

Term 1

Week 1-3: Algebraic expressions

Week 4-5: Exponents

Week 6: Number Patterns

Week 7-8: Equations ans Inequalities

Week 9-11: Trigonometry

Term 2

Week 1-5: Functions

Week 6-8: Euclidean Geometry

Term 3

Week 1-2: Analytical Geometry

Week 3-4: Finance and Growth

Week 5-6: Statistics

Week 7-8: Trigonometry

Week 9-10: Euclidean Geometry and Measurement

Term 4

Week 1-2: Probability

##### Term 1 Week 4-5: Exponents

Exponents

Laws of exponents

Simplify expressions using the laws of exponents for rational exponents

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Exponential equations

Number patterns

##### Term 1 Week 7-8: Equations ans Inequalities

Linear equations

System of linear equations

Literal equations

Linear inequalities

Word problems

##### Term 1 Week 9-11: Trigonometry

Define the trigonometric ratios sin θ, cos θ and tan θ, using right-angled triangles

Definitions of  sin θ, cos θ and tan θ (between 0 and 360 degrees)

Define the reciprocals of the trigonometric ratios: cosec θ, sec θ and cot θ

Derive values of the trigonometric ratios for the special cases (without using a calculator)

Special angles

Solving trigonometry equations

##### Term 2 Week 1-5: Functions

The concept of a function, where a certain quantity (output value) uniquely depends on another quantity (input value). Work with relationships between variables using tables, graphs, words and formulae. Convert flexibly between these representations.

Functions

Linear functions

Hyperbolic functions

Exponential functions

Trigonometric functions

Interpretation of graphs

- Textbook

##### Term 2 Week 6-8: Euclidean Geometry

Revision

Line segments joining the mid-points of two sides of a triangle

Quadrilaterals: kite, parallelogram, rectangle, rhombus, square and trapezium

##### Term 3 Week 1-2: Analytical Geometry

Basics

Distance

Midpoint

##### Term 3 Week 3-4: Finance and Growth

Simple and compound growth formulae

Simple Interest

Compound Interest

##### Term 3 Week 5-6: Statistics

Revision: measures of central tendency in ungrouped data

Measures of central tendency in grouped data: calculation of mean estimate of grouped and ungrouped data and identification of modal interval and interval in which the median lies

Revision: range as a measure of dispersion and extension to include percentiles, quartiles, interquartile and semi interquartile range

Five number summary (maximum, minimum and quartiles) and box and whisker diagram

Applications: use the statistical summaries (measures of central tendency and dispersion), and graphs to analyse and make meaningful comments on the context associated with the given data.

##### Term 3 Week 7-8: Trigonometry

Solve trig problems in two dimensions (functions)

##### Term 3 Week 9-10: Euclidean Geometry and Measurement

Solve geometry problems and prove riders

Measurement

Revision: volume and surface areas of right-prisms and cylinders

The effect on volume and surface area when multiplying any dimension by a constant factor k

Volume and surface areas of spheres, right pyramids and right cones

##### Term 4 Week 1-2: Probability

Probability models

Venn diagrams

Mutually exclusive

Complementary

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