Topic notes for Grade 8: what gets asked, what you must be able to do, the traps that cost marks, and worked examples.
- Algebraic equations Solving linear equations, and setting one up from a word problem.
- Algebraic expressions Simplifying, expanding and substituting into algebraic expressions.
- Area and perimeter of 2D shapes Calculating perimeter and area of polygons and circles, and converting units.
- Collect, organize and summarize data Collecting and organising data, then finding the mean, median, mode and range.
- Common fractions Adding, multiplying and dividing fractions, and calculating with percentages.
- Construction of geometric figures Using a compass and ruler to bisect, construct and build angles and shapes.
- Decimal fractions Ordering, rounding and calculating with decimal fractions.
- Exponents The laws of exponents, scientific notation, and roots and powers of numbers.
- Functions and relationships Finding input and output values, and the rule that connects them.
- Geometry of 2D shapes Classifying triangles and quadrilaterals, and calculating unknown angles and sides.
- Geometry of 3D objects Naming Platonic solids, counting faces and vertices, and working with nets.
- Geometry of straight lines Naming and calculating angles at intersecting and parallel lines.
- Graphs Reading and describing graphs, and plotting points on the Cartesian plane.
- Integers Ordering integers and calculating with positive and negative numbers.
- Interpret, analyse and report data Reading, comparing and questioning data shown in graphs, then reporting on it.
- Numeric and geometric patterns Extending number and shape patterns, and describing the rule that generates them.
- Probability Listing outcomes, finding probabilities, and comparing them with relative frequency.
- Represent data Drawing a bar graph, histogram, pie chart or broken-line graph for data.
- Surface area and volume of 3D objects Calculating surface area, volume and capacity of prisms, and converting units.
- The Theorem of Pythagoras Using the Theorem of Pythagoras to find a missing side of a right-angled triangle.
- Transformation Geometry Reflecting, translating and rotating points and triangles on the Cartesian plane.
- Whole numbers Times tables, factors, order of operations, ratio, rate and money maths with whole numbers.