### Year 5

# Mathematics

**Summer 1 – Geometry**

**The children will:**

Identify 3-D shapes, including cubes and other cuboids, from 2-D representations

Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

Draw given angles, and measure them in degrees (°)

Identify angles at a point and one whole turn (total 360°); on a straight line and a turn (total 180°); other multiples of 90°

Use the properties of rectangles to deduce related facts and find missing lengths and angles

Distinguish between regular and irregular polygons based on reasoning about equal sides and angles

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.

**Spring 2 – Measures including Perimeter and Area**

The children will:

- Convert between different units of metric measure eg km & m, cm & m, cm & mm, g & kg, l & mm
- Understand & use approximate equivalences between metric and common imperial units such as inches, pounds and pints
- Measure and calculate the perimeter of composite rectilinear shapes in cm & m
- Calculate & compare the area of rectangles (including squares) and including standard units, square cm & square metres and estimate the area of irregular shapes
- Estimate volume eg using 1cm cubed blocks to build cuboids including cubes & capacity eg using water

**Spring 1 – Fractions, Decimals and Percentages**

- Compare and order fractions
- Add and subtract fractions
- Identify, name and write equivalent fractions
- Recognise mixed numbers and improper fractions and convert one to the other
- Multiply proper fractions and mixed numbers by whole numbers
- Read and write decimals as fractions
- Recognise and use thousandths and relate them to tenths hundredths and decimal equivalents
- Round decimals with two decimal places
- Read write order and compare numbers with up to three decimal places
- Recognise the per cent symbol
- Understand per cent
- Write percentages as a fraction and as a decimal

**Autumn 2 – ****Multiplication, Division and Fractions**

- Identify multiples and factors
- Know and use the vocabulary of prime numbers
- Written multiplication including long multiplication
- Multiply and divide numbers mentally
- Written division including with remainders
- Multiply and divide whole numbers and decimals by 10, 100, 1000
- Recognise and use square and cube numbers
- Compare and order fractions
- Add and subtract fractions
- Identify, name and write equivalent fractions
- Recognise mixed numbers and improper fractions and convert one to the other
- Multiply proper fractions and mixed numbers by whole numbers
- Read and write decimals as fractions
- Recognise and use thousandths and relate them to tenths hundredths and decimal equivalents
- Round decimals with two decimal places
- Read write order and compare numbers with up to three decimal places
- Recognise the per cent symbol
- Understand per cent
- Write percentages as a fraction and as a decimal

**Autumn 1 – ****Number, Place Value, Addition and Subtraction**

- Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit.
- Count forwards/backwards in steps of powers of 10 for numbers up to 1, 000, 000
- Interpret negative numbers in context, count forwards/backwards with positive/ negative whole numbers, including through zero
- Round any number up to 1, 000, 000 to the nearest 10, 100, 1000, 10,000, 100, 000
- Read Roman numerals to 1000 (M) and recognise years written in Roman numerals
- Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
- Add and subtract numbers mentally with increasingly large numbers