Year 8 - Key Objectives


Divide a quantity into two or more parts in a given ratio; use the unitary method to solve simple word problems involving ratio and direct proportion
Use standard column procedures for multiplication and division of integers and decimals, including by decimals such as 0.6 or 0.06; understand where to position the decimal point by considering equivalent calculations
Use the equivalence of fractions, decimals and percentages to compare proportions; calculate percentages and find the outcome of a given percentage increase or decrease.
Add, subtract, multiply and divide integers


Simplify or transform linear expressions by collecting like terms; multiply a single term over a bracket
Plot the graphs of linear functions, where y is given explicitly in terms of x, on paper and using ICT; recognise that equations of the form y = mx + c correspond to straight-line graphs
Substitute integers into simple formulae

Shape and Space

Identify alternate angles and corresponding angles; understand a proof that:
the sum of the angles of a triangle is 180
Use straight edge and compasses to construct:
    o the mid-point and perpendicular bisector of a line segment;
    o the bisector of an angle;
    o the perpendicular from a point to a line;
    o the perpendicular from a point on a line;
Enlarge 2-D shapes, given a centre of enlargement and a positive whole-number scale factor
Deduce and use formulae for the area of a triangle, parallelogram
Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids

Handling Data

Find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way
Construct, on paper and using Excel:
    - pie charts for categorical data;
    - bar charts and frequency diagrams for discrete and continuous data;
    - simple line graphs for time series;
    - simple scatter graphs;
Identify which are most useful in the context of the problem

Using and Applying

Identify the necessary information to solve a problem; represent problems and interpret solutions in algebraic, geometric or graphical form
Use logical argument to establish the truth of a statement