# Maths

## Year 5 Maths

Boys work through the inclusive Abacus Scheme, which follows the National Curriculum, pushing boys to ‘Mastery’ level as and when they are ready. Throughout the year, in each term, the boys develop their skills in the four rules of number; shape, space and measure. Number and place value; problem solving, reasoning and algebra; mental addition and subtraction; fractions, ratio and proportion; mental multiplication and division; geometry position and direction; and measurement skills are used in progressive and various forms throughout the year, culminating in use and application to merge these topics and skills, all of which are visited and revisited throughout the year.

## Autumn Term

place value

calculation strategies.

Decimals; multiplication and division

decimal numbers

mental strategies in multiplication and division.

Time; length

time intervals

measuring lengths in cm and mm

perimeters

Subtraction

Formal written subtraction and counting up as appropriate, including when finding change.

Multiplication and division; fractions

Angles

Angles as degrees of ‘turn’, and on comparison, identification and measurement of angles.

Whole numbers, decimals and fractions

Comparing and ordering whole numbers and decimals, and on equivalence in relation to proper fractions and decimals.

Revision

In-depth revision of the four operations, including calculation strategies and the inverse relation between addition and subtraction, multiplication and division.

## Spring Term

Place value

Larger whole numbers and in decimals

round to the nearest required power of ten

mental calculation strategies

Multiplication and division

mental calculation strategies for multiplication and division

identifying patterns and rules.

2D shapes; measures

Exploring the properties of triangles, naming and identifying the different types; and then on SI units of measure, reading scales and conversion problems.

mental subtraction of decimal numbers.

Multiplication and division

Development of written methods for multiplication and division; division is linked to finding fractions of large amounts.

2D shapes; angles; measures

polygons and angles, particularly in relation to quadrilaterals

metric units are then revised

imperial units are taught

Fractions

Revising proper fractions and equivalent fractions

mixed numbers and improper fractions

proper fractions are multiplied by whole numbers.

Rehearsing column subtraction and extending to larger / more difficult numbers; column addition and subtraction are used to solve problems.

## Summer Term

Adding and subtracting numbers in the context of money and contextual problems.

Fractions; multiplication

Multiplying and converting fractions; and on short and long multiplication of whole numbers.

Place value and decimals

place value in decimals, including multiplying and dividing by 10 and 100.

Coordinate geometry; 2D and 3D shapes

Plotting, reflecting and translating shapes on coordinate grids; and on extending understanding of properties of 2D and 3D shapes.

Written methods of addition and subtraction, and choosing efficient strategies to solve problems.

Multiplication and division and fractions

Focus on factors and multiples; on securing the concept of equivalent fractions to enable calculations with fractions; and on further developing written methods of multiplication and division.

Area and perimeter; volume

calculating areas, perimeters and volumes, and understanding the difference between measurement in one, two and three dimensions.

Fractions, decimals and percentages

Understanding percentages and how they relate to fractions and decimals, and solving problems by finding percentages of amounts.

Revision

Revision of: line graphs; calculating time intervals; finding cubes of numbers; using factors to multiply; and solving scaling problems involving fractions and measures.