### Year 5

# Mathematics

**During Year 5 the children will learn how to, reason and problem solve as follows:**

**Autumn 1, 2019 – ****Number and Place Value **

- 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

**Autumn 2, 2019 – Addition, Subtraction, ****Multiplication and Division **

- 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
- 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

**Spring 1, 2020 – 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

**Spring 2, 2020 – Measures including Perimeter and Area**

- 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

**Summer 1, 2020 – Geometry**

- 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.

**Summer 2, 2020 – Statistics and Revision**

- Solve comparison, sum and difference problems using information presented in a line graph
- Complete, read and interpret information in tables, including timetables.
- Revise objectives from Year 5
- Complete basic skills that relate to all of Year 5 objectives