# Year 5 Maths

**Year 5 Maths** includes a curriculum that focuses more on complex thinking and hence involves the use of a few topics that are linked and mixed with each other. It covers the topics of larger numbers and their place values, Roman numerals up to 1000, addition and subtraction of larger numbers, factors, and many more. A few of the new topics that have been introduced here are percentages, squares and cubes of numbers, and so on.

## Year 5 Maths Curriculum

Year 5 Maths curriculum aims at developing more complex thinking. The following list shows the complete curriculum for Year 5 Maths which helps in understanding what a student should know at the end.

**Number - Number and Place Value**

- Understand and compare numbers up to 1,000,000 and determine the value of each digit.
- Count forward and backward in powers of 10 for a given number up to 1,000,000.
- Interpret negative numbers, count forwards and backward with positive and negative whole numbers, including zero.
- Rounding of numbers up to 1,000,000 to the nearest 10, 100, 1000, 10,000 and 100,000.
- Solve number of problems as well as practical problems that involve all of the above.
- Read Roman numerals to 1000 (M) and recognise years expressed in Roman numerals.

**Number - Addition and Subtraction**

- Add and subtract whole numbers with more than 4 digits, using the written methods of columnar addition and subtraction.
- Add and subtract numbers mentally with large numbers.
- Use rounding to check answers of calculations and determine the levels of accuracy in the context of a problem.
- Solve addition and subtraction problems, and decide the operation that needs to be used with reason.

**Number - Multiplication and Division**

- Identification of factors and multiples, which includes finding the factor pairs of a number, and the common factors of any two given numbers.
- Understand the terms like prime numbers, prime factors and (non-prime) composite numbers.
- Understand why a number is a prime number, for numbers up to 100. Identify the prime numbers up to 19.
- Multiply numbers up to 4 digits by one or two-digit numbers using a formal written method, including long multiplication for two-digit numbers.
- Multiply and divide numbers mentally.
- Divide numbers up to 4 digits by 1 digit numbers using short division and find the remainder appropriately.
- Multiply and divide whole numbers and the ones that involve decimals by 10,100 and 1000.
- Recognise the notation for squared (
^{2}) and cubed (^{3}) and use square numbers and cube numbers - Solve problems involving multiplication and division including using the knowledge of factors and multiples, squares and cubes.
- Solve problems involving addition, subtraction, multiplication and division, and a combination of these, understanding the meaning of the equals sign.
- Solve problems that involve multiplication and division and problems involving simple rates.

**Number - Fractions (including decimals and percentages)**

- Compare and order (arrange) fractions whose denominators are all multiples of the same number.
- Identify equivalent fractions that are represented visually.
- Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements that are more than 1 (> 1) as a mixed number, for example, 3/6 + 4/6 = 7/6 = \(1\dfrac{1}{6}\)
- Multiply proper fractions and mixed numbers by whole numbers, supported by figures and diagrams.
- Read and write decimal numbers in the form of fractions, for example, 0.34 = 34/100
- Round decimals up to two decimal places to the nearest whole number and round up to one decimal place.
- Compare and understand numbers up to three decimal places.
- Solve problems that include numbers up to three decimal places.
- Recognise the symbol of percent (%) and understand that the word 'percent' relates to ‘number of parts per hundred’. Express percentages as a fraction with a denominator of 100, and also as a decimal.
- Solve problems that need the understanding of percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and the fractions with a denominator of a multiple of 10 or 25.

**Measurement**

- Conversion of different units of metric measures, for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre.
- Understand and use approximate equivalences between metric units and common imperial units like, inches, pounds and pints.
- Measure and find the perimeter of composite rectilinear shapes in centimetres and metres.
- Calculate and compare the area of rectangles, squares, using standard units, square centimetres (cm
^{2}) and square metres (m^{2}) and calculate the area of irregular shapes. - Estimate volume, for example, using 1 cm
^{3}blocks to build cuboids, cubes and capacity, for example, using water. - Solve problems that involve conversion between units of time.
- Use all four operations to solve problems involving measure, for example, length, mass, volume, and money, using decimal notation, including scaling.

**Geometry - Properties of Shapes**

- Identify 3-D shapes like cubes and cuboids, from their 2-Dimensional representations.
- Understand that angles are measured in degrees: estimate and compare acute angles, obtuse angles and reflex angles.
- Draw the given angles, and measure them in degrees (°)
- Identify angles at a point, at one whole turn (total 360°, angles at a point on a straight line and half a turn (180°), other multiples of 90°
- Use the properties of rectangles to derive the related facts and find the missing lengths and angles.
- Understand the difference between regular polygons and irregular polygons based on the sides and angles.

**Geometry - Position and Direction**

- Identify, explain and represent the position of a shape following a reflection, using the appropriate language, and understand that the shape has not changed.

**Statistics**

- Solve problems based on the comparison, sum, and difference using information presented in a line graph.
- Complete, understand and interpret information and data given in tables, including timetables.

## Year 5 Maths Tips and Tricks

Here is a list of a few tips that can help students perform well in year 5 Maths.

- Teachers and parents need to encourage the students regularly to ensure that they remain confident of themselves.
- Encourage them to understand the problems first and then lend a helping hand.
- By the end of year 5, the students should memorise the multiplication tables up to 12.
- Consistent practice on the part of the students is always helpful in accuracy and fluency.

## FAQs on Year 5 Maths

### What Topics do you Learn in Year 5 Maths?

The following topics are covered in the year 5 Maths curriculum:

- Number and Place Value
- Addition and Subtraction
- Multiplication and Division
- Fractions (including decimals and percentages)
- Measurement
- Geometry (Properties of Shapes and Position and Direction)
- Statistics

A detailed list of these topics is given above on this page that can be referred to see what topics are covered under year 5 Maths.

### How do I Teach Mental Maths in Year 5?

Mental Maths can be taught in year 5 using the following tips:

- Create games for the student so that his/her interest remains intact.
- Start with smaller numbers and gradually move on to larger numbers.
- Set a timer that allows the child to practice within the given time limit. Keep the time limit according to their accuracy and then reduce the time limit accordingly.

### What does the National Curriculum say about Year 5 Maths?

According to the national curriculum, in year 5 Maths, the students learn more about larger numbers and their place values. They start solving more complex problems based on the four operations of addition, subtraction, multiplication and division. A mix of a few topics helps the students understand the relationship between them.

### How to Teach Year 5 Maths?

In year 5 Maths, the students are quite familiar with the topics that are covered because they have studied the basics in the previous years. In this year, they need to be taught how to solve more complex problems related to the same topics. However, there are certain points that need to be kept in mind while teaching them. For example, the teachers need to encourage the students regularly. They need to let them solve the problems on their own and then guide them if they are going wrong somewhere. Another important tip is that if the students know the multiplication tables up to 12, it really adds an advantage.

### What Times Tables Should Year 5 Know?

In year 5 Maths, a student should know the multiplication tables up to 12. This will help them multiply 4-digit numbers with 2-digit numbers with ease as they move on to year 6. Apart from this, multiplication tables help in solving larger problems of division and other complex problems as well.

### How do you Teach Mental Addition in Year 5 Maths?

There are many ways to teach mental addition to students of year 5, a few tips related to this are given below:

- Suggest the students that if they want to add 3 + 8, they should start with the bigger number. For example, here, 8 is the bigger number and 8 + 3 is easier to add rather than 3 + 8.
- Another tip that can be given here is that the commutative property of addition can be taught to the students which says that we can add numbers in any order and we get the same result. For example, 4 + 7 =11 and 7 + 4 = 11

visual curriculum