AUTUMN

Unit 1 Pattern Sniffing
 Generate a sequence from a termtoterm rule;
Triangular, square and cube numbers, simple arithmetic
progressions.
 Prime numbers, factors (divisors), multiples, common
factors, common multiples, highest common factor and
lowest common multiple;
 Positive integer powers and associated roots;
recognise powers of 2, 3, 4, 5
Unit 2 Investigating Number Systems
 Place value (with very large or very small numbers,
and when calculating with decimals)
 Round numbers and measures as desired order positive
and negative integers, decimals and fractions.
Unit 3 Solving Calculation Problems
 Four operations, including formal written methods,
for integers, decimals , fractions and mixed numbers
 Order of operations, including brackets;
 Use of the symbols =, ≠, <, >, ≤, ≥;
 Estimate answers; Check calculations using
approximation and estimation
 Substitute into formulae and expressions;
 Use standard mathematical formulae; Concepts and
vocabulary of expressions, equations, formulae and terms
 Use and interpret algebraic notation.
Unit 4 Exploring Shape
 Identify properties of the faces, surfaces, edges and
vertices of 3D shapes.
 Use conventional geometrical terms and notations and
standard labelling conventions for the sides and angles
of triangles
 Angles at a point, angles at a point on a straight
line, vertically opposite angles
 Properties of special types of quadrilaterals,
triangles and other plane figures
Unit 5 Generalising Arithmetic
 Recognise and use relationships between operations,
including inverse operations
 Simplify and manipulate algebraic expressions by
collecting like terms and multiplying a single term over
a bracket

End of Term
Test 1

SPRING

Unit 6 Reasoning with Measures
 Calculate perimeters of 2D shapes
 Calculate area of triangles, parallelograms, trapezia
 Know the formulae for circumference and area of a
circle
 Calculate volume of cuboids.
Unit 7 Discovering Equivalence
 Define percentage as ‘number of parts per hundred
 Interpret percentages and percentage changes as a
fraction or a decimal, including multiplicatively
 Express one quantity as a percentage of another
 Compare two quantities using percentages
 Solve problems involving percentage change.
 Interpret fractions and percentages as operators
 Order positive and negative integers, decimals and
fractions
Unit 8 Investigating Statistics
 Interpret and construct tables, charts and diagrams,
including frequency tables, bar charts, pie charts and
pictograms for categorical data, vertical line charts for
ungrouped discrete numerical data.
 Interpret, analyse and compare the distributions of
data sets through appropriate measures of central
tendency (median, mean, mode and modal class) and spread
(range)
Unit 9 Solving Number Problems
 Solve linear equations in one unknown algebraically
Unit 10 Reasoning with Fractions
 Express one quantity as a fraction of another
 Record, describe and analyse the frequency of
outcomes of probability experiments using tables and
frequency trees
 Apply ideas of randomness, fairness and equally
likely events
 Relate relative expected frequencies to theoretical
probability
 Construct sample spaces and use these to calculate
theoretical probabilities

End of Term
Test 2

SUMMER

Unit 11 Visualising Shape
 Draw diagrams from written description
 Measure line segments and angles in geometric figures
 Identify and apply circle definitions and properties,
including: centre, radius, chord, diameter, circumference
Unit 12 Exploring Change
 Coordinates in 4 quadrants
Unit 13 Proportional Reasoning
 Use ratio notation, including reduction to simplest
form
 Divide a given quantity into two parts in a given
part:part or part:whole ratio
Unit 14 Describing Position
 Solve geometrical problems on coordinate axes
 Identify, describe and construct congruent shapes by
considering rotation, reflection and translation
 Describe translations as 2D vectors
Unit 15 Measuring and Estimating
 Use standard units of mass, length, capacity, area
time, money and other measures (including standard
compound measures) using decimal quantities where
appropriate
 Convert between related standard units
 Convert between miles and kilometres and apply this
to solve problems

End of Year
Test 3
