Topic notes for Grade 9: what gets asked, what you must be able to do, the traps that cost marks, and worked examples.
- Algebraic equations Solving linear equations, setting up an equation from a word problem, and solving by factorising.
- Algebraic expressions Expanding brackets, multiplying and dividing terms, and factorising expressions.
- Area and perimeter of 2D shapes Calculating the perimeter and area of polygons and circles, including composite figures.
- Collect, organize and summarize data Choosing a good sample, and calculating the mean, median, mode and range of data.
- Common fractions Adding, multiplying and dividing fractions, and using fractions and percentages in real problems.
- Construction of geometric figures Using a compass and ruler to construct and bisect angles, and finding polygon angle sums.
- Decimal fractions Calculating with decimals, rounding off, and converting between fractions, decimals and percentages.
- Exponents The laws of exponents: multiplying and dividing powers, powers of powers, and zero and negative exponents.
- Functions and relationships Working out outputs and inputs for a rule, and writing the rule that links input and output.
- Geometry of 2D shapes Properties of triangles and quadrilaterals, congruency, similarity, and unknown angles.
- Geometry of 3D objects Naming 3D solids and their faces, edges and vertices, and matching solids to their nets.
- Geometry of straight lines Naming angle pairs at intersecting and parallel lines, and calculating unknown angles with reasons.
- Graphs Reading the gradient and intercepts of a straight-line graph, and finding its equation.
- Integers Calculating with positive and negative numbers, and squares, cubes and roots of integers.
- Interpret, analyse and report data Reading and comparing data, choosing the best summary statistic, and spotting bias.
- Numeric and geometric patterns Spotting the pattern in a sequence, writing its general rule, and using the rule to find any term.
- Probability Finding the probability of a compound event using a two-way table or a tree diagram.
- Represent data Drawing a bar graph, histogram, pie chart or scatter plot to display data.
- Surface area and volume of 3D objects Calculating the surface area and volume of prisms and cylinders, and converting SI units.
- The Theorem of Pythagoras Using the Theorem of Pythagoras to find an unknown side of a right-angled triangle.
- Transformation Geometry Reflecting, translating and enlarging a point or figure on the Cartesian plane.
- Whole numbers Number types, LCM and HCF, ratio and rate, and money maths: profit, interest and hire purchase.