Autumn 1

Number systems and the axioms

• Place value systems including base 10 and other bases

• Commutativity, associativity and distributivity

Factors and multiples and order of operations

• Factors, primes and multiples

• Square and cube numbers

• Representing the structure of number

• Establishing the order of operations

Autumn 2

Positive and negative numbers

• Negative numbers in context

• Using negative numbers with all four operations

Expressions, equations and sequences

• Finding missing terms in sequences

• Finding the nth term

• Writing expressions

• Recognising equivalent expressions

• Forming equations

Spring 1

Angles

• Measuring and drawing angles

• Angles on a straight line and around a point

• Angles in parallel lines

• Creating expressions from angle facts

Classifying 2-D shapes

• Classifying polygons according to their properties

• Rotational and line symmetry

• Area of triangles and quadrilaterals

• Formulae and solving equations

Constructing triangles and quadrilaterals

• Using a ruler, protractor and compasses to construct 2D shapes

• Using properties of quadrilaterals and triangles to explore standard constructions.

Spring 2

Coordinates

• Plotting points in all four quadrants

• Horizontal and vertical lines

• Midpoints of line segments

• Problem solving on a coordinate grid

Area of 2-D shapes

• Area of triangles and quadrilaterals

• Formulae and solving equations

Transforming 2-D figures

• Translation, rotation and reflection of an objects on a cartesian plane

• Enlargement by a positive scale factor

Summer 1

Primes, factors and multiples

• Prime factor decomposition

• LCM and HCF

• Square roots and cube roots

Fractions

• Equivalent fractions

• Converting between fractions and decimals

• Recurring decimals • Multiply and divide fractions

• Fractions of amounts

• Mixed numbers and improper fractions

• Addition and subtraction of fractions

Summer 2

Ratio

• Ratio notation

• Understand the relationship between ratio and fractions

• Working with ratios and quantities

Percentages

• Equivalence to fractions and decimal fractions

• Percentage of an amount

• Percentage increase and decrease

• Finding the original amount

• Using percentages, fractions and decimals in different contexts including probability