Year 8 - Key Objectives

**Number**

· 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

**Algebra**

· 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