# White Rose Maths Year 3: What Students Learn And The Resources To Support Them

Here we look at the White Rose Maths Year 3 scheme of learning, the topics it covers across the year and provide lots of sample questions and maths resources for those following White Rose in Year 3.

Year 3 Place Value Lesson

The White Rose Maths scheme of learning follows the national curriculum with a mastery approach to maths with a range of fluency, reasoning and problem solving elements. They also encourage concrete, pictorial and abstract representations to develop deep understanding of mathematical concepts.

It is thought that approximately 70% of schools in the UK follow the White Rose Maths scheme and this is reflected in the thousands of students Third Space Learning tutors every week. Our tutors are highly skilled maths and pedagogy experts, well trained in the language, representations and approach used by White Rose. They are therefore able to deliver a one to one lesson that feels familiar to students who are also used to White Rose.

Throughout this article you’ll see example lesson slides and example questions from Third Space Learning’s Year 3 maths curriculum that exemplify best practice teaching to the White Rose Maths Year 3 scheme.

We’ve also provided lots of links to White Rose Maths Year 3 resources that are suitable for use for each topic. In addition to the links provided, Third Space Learning also offers libraries for White Rose Maths Year 1, White Rose Maths Year 2, White Rose Maths Year 4, White Rose Maths Year 5 and White Rose Maths Year 6

## About the White Rose Maths Year 3 Scheme of Learning

The primary school White Rose Maths scheme of learning has gone through several iterations and versions up to the current version 3. The scheme of learning SOL is designed as guidance and it is not necessarily intended for each small step to take one lesson. As with all teaching, it is important that teachers adapt this SOL for their class/ pupils.

### Topics covered in Year 3 White Rose Maths scheme of learning work

The White Rose Maths Year 3 SOL outlines which topics are taught, and when, throughout the autumn, spring and summer terms of Year 3.

The breakdown for Version 3 of the scheme of learning is as follows

#### Year 3 autumn term

• Place value
• Multiplication and division (A)

#### Year 3 spring term

• Multiplication and division (B)
• Length and perimeter
• Fractions (A)
• Mass and capacity

#### Year 3 summer term

• Fractions (B)
• Money
• Time
• Shape
• Statistics

​​Third Space Learning has created several collections of White Rose Maths aligned resources for all primary year groups from early years through to Year 6. These resources can provide a different perspective on a topic and so help pupils spend the time needed to fully embed a concept.
Here is a summary of the different collections available for schools following Year 3 White Rose Maths, many of them free to download from our maths hub. Links to the topic specific versions are provided within each termly breakdown below:

These ready-to-go lesson slides come in the form of editable powerpoints with related worksheets that are designed for everyday teaching. The slides cover both version 2 of the White Rose scheme of learning (in blue) and version 3 of the SOL. They also include support slides that can be used to support pupils who need a little extra  pre/ post teaching to support their understanding.

Code Crackers

Our Code Crackers resources are aligned to the version 2 SOL. These are summative resources designed as a retrieval activity for the end of the place value block

Version 2 aligned resources:

Maths Code Crackers Year 3

Pre and Post Diagnostic Questions

These tests can be used before starting the place value block to assess gaps, and after teaching the place value block to identify progress.

Diagnostic Assessments Year 3

Worked Examples

Pupils check over completed questions to identify errors (or identify correct answers). Pupils are encouraged to explain the errors they find, not just ‘mark’ work. These worked examples help to solidify understanding by getting the pupil to discuss errors and how to avoid them.

Year 3 Worked Examples

Rapid Reasoning

These reasoning problems go alongside our Fluent in Five resource. One question each week has a model answer so teachers can understand what the question is asking and how to solve it.

Rapid Reasoning Year 3

All Kinds of Word Problems

Test your class’ problem solving skills with these place value word problems.

All Kinds of Word Problems Year 3

## White Rose Maths Year 3 autumn term

In the autumn term, Year 3 focuses on place value, addition, subtraction, multiplication and division.

### Place value Year 3

Place value is an essential part of pupils’ learning, hence why it is usually the first block pupils cover each year. In Year 3, several new concepts are introduced as well as recapping important concepts taught in Key Stage 1. In KS1, pupils look at numbers to 100. In Year 3, pupils look at numbers up to 1,000. Pupils also expand their knowledge of counting in multiples by counting in multiples of 50.

#### Example year 3 place value questions:

1. Write 357 in words

2. Represent 529 using place value counters

3. Complete the next two numbers in this sequence: 300, 250, 200, ……, ……

### Addition and subtraction Year 3

In the White Rose Maths scheme of learning version 3, Year 3 is introduced to the formal written method of addition and subtraction. This builds on knowledge of adding and subtracting (including regrouping and exchanging) with concrete resources. This is in addition to other methods of addition and subtraction.

#### Example year 3 addition and subtraction questions:

1. Complete the calculation: 527 – 300 =

2. Complete the calculation: 349 + 218 =

3. Lola has £436. She spends £172. How much money does she have left?

### Multiplication and division Year 3

Multiplication and division has been divided into two blocks, Multiplication and Division A in Autumn and Multiplication and Division B in Spring.

### Multiplication and division A

Multiplication and division has been divided into two blocks, one in Autumn and one in Spring. The autumn term block focuses on basic understanding such as equal groups, arrays and sharing and grouping as well as recapping times table facts from Year 2 (2s, 5s and 10s) and introduces other times tables facts (3s, 4s and 8s).

The 3, 4 and 8 times tables are introduced as both multiplication and division facts to reinforce the link between multiplication and division. Year 3 also explores the relationship between the 2, 4 and 8 times tables.

#### Example year 3 multiplication and division A questions:

Answer: 4 x 3 = 12

2. Complete the calculation: 36 ÷ 4 =

3. Complete the grid:

Answer: Row 1: 4, 8, 16, Row 2: 8, 16, 32, Row 3: 16, 32, 64

## White Rose Maths Year 3 spring term

In the spring term, Year 3 continues with multiplication and division and covers length, perimeter and fractions.

### Multiplication and division B Year 3

Once pupils are more confident with times tables facts, they then move on to multiplying and dividing with a 2-digit and a 1-digit number. In Year 3, pupils will not use formal methods (such as short multiplication or short division), instead they focus on using concrete resources such as counters.

#### Example year 3 multiplication and division B questions:

1. Complete the calculation: 17 x 10 =

2. Complete the calculation: 23 x 3 =

3. Complete the calculation: 64 ÷ 4 =

### Length and perimeter Year 3

Pupils will be familiar with measuring lengths in metres and centimetres from Year 2. In Year 3, they expand this understanding by measuring in millimetres as well as measuring in mixed units (centimetres and metres). Pupils will also explore equivalent lengths and learn about perimeter for the first time. The study of perimeter starts with pupils understanding that perimeter is the distance around a closed 2-D shape.

#### Example year 3 length and perimeter questions:

1. Compare the lengths 5cm & 5mm

2. Convert 3m and 46cm into centimetres.

3. A square has sides measuring 5cm. What is the perimeter of the square?

### Fractions Year 3

Like multiplication and division, fractions is split across two terms, Fractions A is in the spring term and Fractions B in the summer term.

### Fractions A Year 3

Fractions A block focuses on understanding fractions including unit and non-unit fractions and representing fractions on number lines. There is also a focus on identifying equivalent fractions.

The entire topic block on fractions in Year 3 relies on concrete and pictorial representations to solidify pupils’ understanding of the mathematical concept of fractions.

#### Example Year 3 fractions A questions:

1. Use bar models to help compare these fractions: \frac{1}{7} & \frac{1}{2}

2. What fraction is represented by the bar model?

3. Use the bar model to find the equivalent fractions. \frac{6}{10} = \frac{?}{5}

### Mass and capacity Year 3

In Year 3, pupils recap reading scales in grams and millilitres. This is extended with pupils focusing on measuring mass in grams and kilograms as well as measuring capacity or volume in millilitres and litres.

Pupils will measure mass using weighing scales and learn to measure capacity and volume using measuring jugs. Pupils will also explore equivalent masses and equivalent capacities or volumes. They will also compare masses and compare capacities or volumes.

#### Example Year 3 mass and capacity questions:

1. What is the mass of the car? _____kg and _____g

2. Joanne has 500g of sweets. Marcy has 650g of sweets. What is the total mass of their sweets?

3. I have 400ml of water. How much more water would I need to make 1 litre of water?

## White Rose Maths Year 3 summer term

During the summer term, the White Rose Maths Year 3 SOL continues with fractions and covers money, time, shape and statistics.

### Fractions B Year 3

The summer term fractions block focuses on calculating with fractions, this involves adding and subtracting fractions with the same denominator. Pupils build upon their learning from Year 2 (where they found \frac{1}{2}, \frac{1}{4}, \frac{1}{3} or \frac{3}{4} of a set of objects) by finding fractions of objects and amounts. They will focus on finding unit and non-unit fractions of objects and amounts.

#### Example Year 3 fractions B questions:

1. Add these fractions: \frac{4}{11} + \frac{3}{11} =

2. Use the bar model to complete the calculation. \frac{2}{7} + ? = 1

3. Complete the calculation: \frac{1}{5} of 15 =

### Money Year 3

In Year 3 , pupils focus on expressing money as pounds and pence, not involving decimals.

Pupils look at converting coins, notes or given amounts in pence into amounts written as pounds and pence. Pupils also calculate using money with pounds and pence. This includes finding change, a valuable skill for any child to understand.

#### Example Year 3 money questions:

1. Complete the conversion: 163p = £___ and ___p

2. Complete the calculation: £2 and 30p + £4 and 85p =

3. Charlie buys a new notebook. She pays using a £5 note. She is given £2 and 30p change. How much does the notebook cost?

### Time Year 3

Pupils begin learning time in Year 2, in Year 3 they expand their knowledge by looking at clocks that have numbers in digits and Roman numerals. Pupils tell the time to the nearest 5 minutes and the nearest minute.
Pupils are also introduced to reading time on digital clocks and understand am and pm times. Pupils look at facts around years/ months/ days (calendars) as well as facts about days and hours (e.g. how many days in a non-leap year, how many hours in a week). They also calculate durations and convert between minutes and seconds. Finally, they will solve problems involving time such as time word problems.

#### Example Year 3 time questions:

1. Which time is the earliest in the day? 7:30pm or 7:30am

2. How many days are in a school week?

3. The Year 3 maths lesson starts at 10:15. It lasts for 50 minutes. What time does it end?

### Shape Year 3

In Year 3, pupils are introduced to angles. They focus on right angles (not measuring in degrees). They identify right angles and compare other angles to right angles (e.g. greater than or less than a right angle). Pupils are also introduced to the terms acute and obtuse.

Pupils look at types of lines (horizontal and vertical, parallel and perpendicular) and recognise and draw 2-D shapes and make 3D shapes.

#### Example Year 3 shape questions:

1. Draw two different angles that are less than a right angle

Answer: Accept any two different acute angles.

2. Tick the lines that are parallel.

### Statistics Year 3

In Year 3, pupils move beyond block diagrams (taught in Year 2) to bar charts. They also recap interpreting and drawing pictograms. In version 3 of the White Rose Maths Year 3 scheme of learning, pupils are introduced to two-way tables for the first time.

#### Example Year 3 statistics questions:

1. How many children voted for green?

2. Which colour was the most popular?

3. How many children are in Year 3?