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Maths

The skills to be taught are set out in the National Curriculum for each year group. They are set out as end-of-year expectations.

Where children meet all the expectations of their year group, they will then work on applying these skills with greater confidence and independence to achive mastery.  Some children will work towards the expectations for their year group and will recieve support to help them deepen their understanding and build confidence.

Year 4 Expectations

Number and place value

Read Roman numerals to 100

Count in multiples of 6, 7, 9, 25 and 1000

Understand the place value of each digit in a four-digit number and find 1000 more/ less than a given number

Round numbers to nearest 10, 100 or 1000

Begin to recognise negative numbers

Addition and Subtraction

Add and subtract numbers mentally using known facts

Add and subtract numbers up to 4-digits using formal written methods

Routinely estimate and check answers to calculations using a range of strategies

Solve two-step addition/ subtraction problems; choosing appropriate operations

Multiplication and Division

Know and use mental recall of multiplication/ division facts up to 12 X12 to derive facts

Use factor pairs to support mental calculations

Use formal written method to multiply

Solve multiplication/ addition problems; including applying the rules of arithmetic and two-step problems

Fractions (including decimals and percentages)

Understand and use hundredths

Begin to recognise decimal and fraction equivalents

Calculate simple addition and subtraction of fractions; beyond one whole

Divide by 10/100 and understand the value of the resulting decimal numbers

Solve fraction and decimal problems in context; including rounding and comparing up to two decimal places

Measurement

Know how to convert units of measure (e.g. km to m, hour to minutes)

Know how to measure and calculate the perimeter of rectilinear figures (cm/ m)

Use counting to find the area of rectilinear shapes

Solve problems using a different range of measures; including money

Use the units of time to convert between analogue and digital clocks

Solve problems using conversion between units of time

Geometry – properties of shape

Use the properties of shape to compare and classify geometric shapes

Understand and use the terms acute and obtuse to identify angles

Make observations to order angles up to two right angles by size

Recognise lines of symmetry in 2-D shapes presented in different orientations

Geometry – position and direction

Know how to use co-ordinates to describe position in the first quadrant and plot specified points

Use knowledge of co-ordinates and shape to complete a given polygon

Use translation horizontally and vertically to describe movement

Statistics

Use bar charts and time graphs to present discrete/ continuous data

Use bar charts, pictograms, tables and other graphs to solve comparison, sum and difference problems

Year 5 Expectations

Number and place value

Read Roman numerals to 1000

Read, write and use numbers to at least 1 000 000

Count forwards/ backwards and round in powers of 10

Begin to interpret negative numbers in context

Addition and Subtraction

Accurately add and subtract mentally, and using formal written methods

Routinely check answers to calculations; including by rounding

Solve multi-step addition/ subtraction problems; choosing appropriate operations

Multiplication and Division

Use known facts to mentally multiply and divide

Use formal long and short written methods for multiplication and division; include decimal numbers and interpret remainders

Recognise and use prime numbers and prime factors

Solve multiplication/ division problems; including recognition and application of factors, multiples, squares, cubes

Fractions (including decimals and percentages)

Recognise, compare and order fractions; including mixed numbers and improper fractions

Calculate addition and subtraction of fractions; including different denominators

Begin to multiply fractions

Recognise, compare and round decimals; up to 3 decimal places

Begin to understand decimal numbers as fractions

Solve problems involving simple percentage and decimal equivalents

Measurement

Know how to convert units of metric measure (e.g. km to m, kg to g, l to ml)

Recognise approximate equivalences between metric units and common imperial units (e.g. inches, pints, pounds)

Know how to measure and calculate the perimeter of composite rectilinear shapes (cm/ m)

Use estimating, calculating and comparing to find the area of rectangles (including squares) and estimate to find the area of irregular shapes

Use practical resources to estimate volume and capacity

When solving problems convert between units of time

When solving problems use all four operations to solve problems involving measures using decimal notation and scaling

Geometry – properties of shape

Use the terms acute, obtuse and reflex to estimate and compare angles

Know how to identify 3-D shapes from 2-D representations

Accurately draw and measure angles in degrees (°)

Know how to use the properties of rectangles to find missing lengths and angles

Use knowledge of sides and angles to distinguish between regular and irregular polygons

Geometry – position and direction

Know how to successfully reflect and translate shapes

Statistics

Use line graphs to solve comparison, sum and difference problems

Identify the necessary information in tables (including timetables) and be able to complete them