 # Mathematics - Year 5

###### Y5 / Upper KS 2 Topics - Click on quick links below.

All of our year groups cover the complete curriculum with the exception of Maths, English, Computing and Language. Currently, Maths and English are being developed through new activities as well as integrated into existing ones. Aspects of P.E, such as swimming are also not covered.

For optimal user experience please view these tables on a large screen.

Our Year 5 activities are expected to launch mid 2024. The table below will then populate.

### Mathematics

National Curriculum Standard Hands-On Education Activity
Ma5/2.1 Number & Place Value

Ma5/2.1a read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit

Ma5/2.1b count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000

Ma5/2.1c interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0

Ma5/2.1d round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000

Ma5/2.1e solve number problems and practical problems that involve all of the above

Ma5/2.1f read Roman numerals to 1,000 (M) and recognise years written in Roman numerals

Ma5/2.2a add and subtract whole numbers with more than 4 digits,including using formal written methods (columnar addition and subtraction)

Ma5/2.2b add and subtract numbers mentally with increasingly large numbers

Ma5/2.2c use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy

Ma5/2.2d solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

Ma5/2.3 Multiplication & Division

Ma5/2.3a identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers

Ma5/2.3b know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers

Ma5/2.3c establish whether a number up to 100 is prime and recall prime numbers up to 19

Ma5/2.3d multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers

Ma5/2.3e multiply and divide numbers mentally drawing upon known facts

Ma5/2.3f divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context

Ma5/2.3g multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000

Ma5/2.3h recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)

Ma5/2.3i solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes

Ma5/2.3j solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign

Ma5/2.3k solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates

Ma5/2.4 Fractions (decimals & percentages)

Ma5/2.4a compare and order fractions whose denominators are all multiples of the same number

Ma5/2.4b identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths

Ma5/2.4c recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number

Ma5/2.4d add and subtract fractions with the same denominator and denominators that are multiples of the same number

Ma5/2.4e multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams

Ma5/2.4f read and write decimal numbers as fractions

Ma5/2.4g recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

Ma5/2.4h round decimals with 2 decimal places to the nearest whole number and to 1 decimal place

Ma5/2.4i read, write, order and compare numbers with up to 3 decimal places

Ma5/2.4j solve problems involving number up to 3 decimal places

Ma5/2.4k recognise the per cent symbol (%) and understand that per cent relates to “number of parts per 100”, and write percentages as a fraction with denominator 100, and as a decimal fraction

Ma5/2.4l solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and fractions with a denominator of a multiple of 10 or 25

Ma5/3.1 Measurement

Ma5/3.1a convert between different units of metric measure

Ma5/3.1b understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints

Ma5/3.1c measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres

Ma5/3.1d calculate and compare the area of rectangles (including squares) including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes

Ma5/3.1e estimate volume and capacity

Ma5/3.1f solve problems involving converting between units of time

Ma5/3.1g use all four operations to solve problems involving measure using decimal notation including scaling

Ma5/3.2 Properties of Shape

Ma5/3.2a identify 3-D shapes, including cubes and other cuboids, from 2-D representations

Ma5/3.2b know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

Ma5/3.2c draw given angles, and measure them in degrees (o)

Ma5/3.2d identify:
1. angles at a point and 1 whole turn (total 360o)
2. angles at a point on a straight line and half a turn (total 180o)
3. other multiples of 90o

Ma5/3.2e use the properties of rectangles to deduce related facts and find missing lengths and angles

Ma5/3.2f distinguish between regular and irregular polygons based on reasoning about equal sides and angles

Ma5/3.3 Position & Direction

Ma5/3.3a identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed

Ma5/4.1 Statistics

Ma5/4.1a solve comparison, sum and difference problems using information presented in a line graph

Ma5/4.1b complete, read and interpret information in tables, including timetables