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KS3 Mathematics

Year 7

 

TERM Relevant number skills are taught continuously in appropriate places
AUTUMN CORE EXTENSION
Sequences Symbolism for sequences eg u2 or un+1

Linear (arithmetic) sequences from term-to-term rules

Linear (arithmetic) sequences from position-to-term rules

Nth term of a simple arithmetic sequence from practical contexts

Simple functions algebraically and in mappings or on a spreadsheet

 

 

 

 

Inverse of a linear function

Fractions Recurring decimals as fractions

Convert a fraction to a decimal

Order fractions

Add/subtract fractions

Multiply/divide fractions

Cancel fractions

Calculate fractions of quantities (fraction answers)

Multiply and divide integer by fraction

Understand equivalence of simple algebraic fractions

 

 

 

Recognise when fractions or percentages are needed to compare proportions; solve problems involving percentage changes

Probability Use probability scale from 0 to 1

Probabilities and equally likely outcomes

Listing outcomes

Language of probability and diagrams for probability

Compare estimated experimental probabilities with theoretical probabilities

Interpret results involving uncertainty and prediction

Know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems

Geometry Vocabulary, notation and labelling conventions for lines, angles and shapes

Sum of angles at point, on straight line and in triangle, vertically opposite angles, alternate and corresponding angles,

Draw regular polygons

Use of angle, side and symmetry properties of triangles and quadrilaterals giving reasons

Understand proof

 

 

Sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons, interior and exterior angles of regular polygons

 

 

 

 

Expressions and Equations Apply BIDMAS to algebra

Arithmetic of negative numbers

Simplify algebraic expressions

Expand brackets

Linear equations (unknown on either or both sides, without and with brackets)

Substitute positive integers into expressions involving small powers, e.g. 3x2 + 4 or 2x3

 

 

 

 

Simplify by common factor

 

Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equation, positive or negative solution)

 

Year 8-9

Please note this information will be added in due course…