problem solving addition year 3

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Year 3 Maths Worksheets UK Hub Page

Welcome to our Year 3 Maths Worksheets area. Here you will find links to our Year 3 Math worksheets for your child will enjoy.

Come and take a look at our multiplication pages, or money flashcards. Perhaps you would prefer our telling the time worksheets, maths games or identifying 2d and 3d shapes in the geometry section?

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• This page contains links to other Math webpages where you will find a range of activities and resources.
• If you can't find what you are looking for, try searching the site using the Google search box at the top of each page.

Year 3 Maths Learning

Here are some of the key learning objectives for the end of Year 3:

• know and use Place value up to 1000
• Compare and order numbers up to 1000
• Counting on and back in 1s, 10s and 100s from different starting points
• Position numbers on a number line up to 1000
• know addition and subtraction facts to 20
• add or subtract 1s, 10s or 100s from a 3-digit number
• subtract 2- and 3-digit numbers in columns
• solve problems using addition and subtraction
• count from 0 in multiplies of 4, 8, 50 and 100
• recall and use multiplication and division facts from the 2, 3, 4, 5, 8 and 10 times tables
• multiply 2-digit numbers by a 1-digit number
• solve problems using multiplication and division
• count up and down in tenths
• understand tenths as decimals
• recognise and use fractions as numbers
• understand and use fractions of objects or shapes
• add and subtract amounts of money
• use £ and p notation correctly
• measure, compare, add and subtract lengths, mass and volume
• measure the perimeter of simple 2D shapes
• tell the time from an analogue clock
• convert between 12- and 24-hour clock
• measure and compare times
• Identify angles including right angles
• identify acute and obtuse angles
• identify horizontal, vertical, parallel and perpendicular lines
• recognise and draw 2D and 3D shapes
• interpret and present data in bar graphs, pictograms and tables
• solve 1-step and 2-step problems using data in tables, pictograms and graphs

Please note:

Our site is mainly based around the US Elementary school math standards.

Though the links on this page are all designed primarily for students in the US, but they are also at the correct level and standard for UK students.

The main issue is that some of the spelling is different and this site uses US spelling.

Year 3 is generally equivalent to 2nd Grade in the US.

On this page you will find link to our range of math worksheets for Year 3.

Quicklinks to Year 3 ...

• Place Value Zone
• Mental Math Zone

Word Problems Zone

Fractions zone.

• Measurement Zone

Geometry Zone

Data analysis zone.

• Fun Zone: games and puzzles

Coronavirus Stay At Home Support

For those parents who have found themselves unexpectedly at home with the kids and need some emergency activities for them to do, we have started to develop some Maths Grab Packs for kids in the UK.

Each pack consists of at least 10 mixed math worksheets on a variety of topics to help you keep you child occupied and learning.

The idea behind them is that they can be used out-of-the-box for some quick maths activities for your child.

They are completely FREE - take a look!

• Free Maths Grabs Packs

Place Value & Number Sense Zone

Year 3 place value charts.

Here you will find a range of Free Printable Number Charts for Years 2 & 3.

These printable charts will help your child learn to read and write numbers.

Some of the charts are partially filled to help your child learn their place value.

Using these sheets will help your child to:

• learn to count in tens and ones;
• learn to read and write numbers.
• Printable Number Charts 0-99
• Hundred Number Charts (100 Squares)
• Number Grid up to 200
• Number Grid up to 300

Place Value & Counting Worksheets

Below are our selection of Place Value, Ordering and Rounding Worksheets

Using these Year 3 Maths worksheets will help your child to:

• learn to count by hundreds, tens, fives, twos and ones;
• learn their place value to Hundreds;
• order numbers to 999.
• Place Value Models and Representations
• Place Value Worksheets 3 Digits
• Math Practice - Counting by 1s 2s 5s 10s 100s

Ordering and Rounding Worksheets (3-digits)

Once your child is confident with their place value to hundreds, they can start learning about ordering and rounding numbers.

The Year 3 Maths worksheets here will help your child learn to compare numbers to 999, and round numbers to the nearest 10.

• Ordering Numbers Worksheets up to 3-Digits

Year 3 Number Line Worksheets

The following webpages involve correctly placing numbers on a number line.

Using these Year 3 maths worksheets will help your child to:

• count by 1s 2s 5s 10s 50s and 100s;
• position numbers on a number line;
• understand place value up to 3 digits.
• Number lines up to 100 (easier)
• Number Line Worksheets 3 Digits

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Year 3 Mental Maths Zone

Here you will find a range of printable mental math sheets for Year 3 to enjoy.

Each quiz tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.

A great way to revise topics, or use as a weekly math test or math quiz!

• Year 3 Mental Maths Worksheets Series A
• Year 3 Mental Maths Worksheets Series B

Year 3 Addition Worksheets

• learn their addition facts to 20+20
• learn how to solve addition sums where one of the addends is missing, but the total is given;
• learn to add numbers to 999 in columns.
• Number Bonds to 20
• Math Addition Facts to 20
• 2 Digit Column Addition Without Regrouping
• 2 Digit Column Addition Worksheets With Regrouping
• 3 Digit Column Addition Worksheets

Year 3 Subtraction Worksheets

The following worksheets involve using the skills of subtracting numbers, and solving subtraction problems.

• know their subtraction facts to 20;
• know how addition and subtraction are related to each other;
• learn to do 3 digit column subtraction.
• Subtraction Facts to 20 Worksheets
• Two Digit Subtraction Worksheets Without Regrouping
• 2 Digit Subtraction Worksheets With Regrouping
• 3 Digit Subtraction Worksheets

Addition & Subtraction Worksheets

You can create your own addition and subtraction worksheets with our random generator.

All you need to do is to set your number size and let the generator do the rest!

• Addition Subtraction Fact Worksheets
• Column Addition and Subtraction Worksheets

Year 3 Multiplication Worksheets

The following worksheets involve using the Year 3 Maths skills of multiplying, and solving multiplication problems.

• learn their multiplication tables up to 5 x 5;
• understand multiplication as repeated addition;
• learn how multiplication and division are related to each other.

Online Times Table Practice

• Times Tables Online Practice Zone
• Understanding Multiplication Worksheets
• Printable Times Tables - 2 Times Table sheets
• Printable Times Tables - 3 Times Table sheets
• Times Tables for kids - 4 Times Table sheets
• Times Table Math - 5 Times Table sheets
• Learning Times Tables - 8 Times Table

Multiplication Word Problems

• Year 3 Multiplication Word Problems (2nd Grade)

Randomly Generated Multiplication Worksheets

• Times Tables Worksheets (randomly generated)

2 Digit by 1 Digit Written Multiplication

• Multiplication Worksheets for 3rd Grade 2-digits by 1-digit
• Year 3 Division Worksheets

The following worksheets involve using the skills of dividing, and solving division problems.

Using these Year 3 maths worksheets will help your child learn to:

• understand division as repeated subtraction or sharing;
• understand different models of division;
• Division Facts Worksheets (randomly generated)

Here are a range of problems solving sheets for Year 3 children. Most of the sheets contain 'real-life' problems related to animal facts.

Using the sheets will help your child to:

• apply their addition, subtraction, and multiplication skills;
• apply their knowledge of rounding and place value;
• solve a range of 'real life' problems.

These sheets involve solving one or two more challenging longer problems. This link opens in a new tab.

• Year 3 Maths Challenges

These sheets involve solving many 'real-life' problems involving data.

• Year 3 Math Word Problems

These sheets involve solving a range of addition word problems within 100.

• Addition Word Problems 2nd grade

These sheets involve solving a range of subtraction word problems up to 100.

• Subtraction Word Problems 2nd grade
• 2nd Grade Addition and Subtraction Word Problems

These sheets involve solving a range of multiplication problems.

• Multiplication Word Problems Year 3

Year 3 Fraction Worksheets

• understand what a half is;
• shade in half of a shape;
• find different numbers involving 'halves' on a number line;
• find half of different numbers up to 20.
• Fraction Math Worksheets - Understanding a half
• Fraction Riddles for kids (easier)

Year 3 Geometry Worksheets

At a Year 3 level, children are introduced to a wider range of 2d and 3d shapes, and start to learn to reflect, flip and rotate shapes.

They are able to classify and sort two-dimensional shapes using different criteria, and they learn the properties of three-dimensional shapes.

The following worksheets will help your child to:

• Identify and name a range of 2d and 3d shapes;
• Draw 2d shapes;
• Know some of the properties of 2d shapes.
• Year 3 Geometry Worksheets (2nd Grade)

Symmetry Worksheets

• learn how to reflect simple shapes in a horizontal or vertical mirror line;
• learn how to reflect simple shapes in 2 mirror lines.
• Symmetry Worksheets - Block Symmetry

Measurement Zone, including Time & Money

Year 3 measurement worksheets.

These sheets involve reading scales going up in ones, fives, tens and hundreds to find the length, weight or liquid capacity.

Using these sheets will help children to consolidate their counting as well as learning to read a simple scale.

• Year 3 Measurement Worksheets (2nd Grade)

Counting Money Worksheets UK - £2, £1, 50p and 20p coins

Here you will find a selection of Counting Money sheets designed to help your child count different amounts of money using UK coins up to £2.

• count a range of coins up to £5
• compare money amounts
• apply their existing skills to puzzle out clues;
• understand money terminology;
• develop their thinking skills.

The free Year 3 Money worksheets in this section are suitable for children in Years 2 and 3.

• Free Money Worksheets UK Coins up to £1
• Year 3 Money Worksheets to £5
• Money Riddles for Kids (UK coins)
• Year 3 Money Challenges

Time Worksheets

Here are our collection of clock worksheets for Year 3. These sheets cover telling the time for quarter past and quarter to times.

• read times to the nearest 5 minutes;
• convert analogue to digital times;
• adding and subtracting hours from different times.
• Clock Worksheets - Quarter Past and Quarter To
• Telling Time to 5 Minutes Worksheets
• Add and Subtract Time Worksheets

Year 3 Bar Graph Worksheets

These sheets involve reading and interpreting a range of bar graphs and picture graphs with a scale going up in ones or twos.

Draw missing bars on a bar graph to the correct height.

Use the information in a bar graph to add data into a table.

Using the link below will open the 2nd grade Math Salamanders website in a new browser window.

• Year 3 Bar Graphs (2nd Grade)

Fun Zone: Puzzles, Games and Riddles

Year 3 math games.

All children like to play Math games, and you will find a good range of 2nd Grade Math Games here for your child to play and enjoy.

The following games involve different Second Grade Math activities which you and your child can enjoy together.

• Year 3 Math Games (2nd Grade)
• Year 3 Maths Puzzles

The puzzles will help your child practice and apply their addition, subtraction and multiplication facts as well as developing their thinking and reasoning skills in a fun and engaging way.

The Number Square Puzzles page will open a new browser window which will take you to the 2nd grade math salamanders website.

Using these puzzles will help your child to:

• learn their addition facts to 20+20;
• learn and practice subtraction facts to 20;
• pratice multiplying up to 5x5;
• develop thinking and reasoning skills;
• develop perseverance.
• Number Square Puzzles
• Math Puzzles at 2nd Grade Math Salamanders

Math Salamanders Year 3 Maths Games Ebook

Our Year 3 Maths Games Ebook contains all of our fun maths games, complete with instructions and resources.

This ebooklet is available in our store, use the link below to find out more!

• Year 3 Maths Games Ebook

Help & Support

Looking for a resource which is not here.

Take a look at our 2nd Grade Math Salamanders website.

On this site you will find a wider selection of Year 3 maths worksheets and free math resources.

• 2nd Grade Math Salamanders

Other UK Maths Worksheet pages

See below for our other maths worksheets hub pages designed for children in the UK.

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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

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Fill in the missing numbers.

Activity: Addition and subtraction

3. Play Place Value Pandemonium

Activity: place value pandemonium.

4. Try lots of different methods

Encourage your child to use different methods for solving addition and subtraction problems. These could include:

• Partitioning numbers into parts to add or subtract. For example, to solve the problem 243 + 65, we could partition each number. Encourage your child to explain this to you, and perhaps model it to them first:

‘I partitioned 243 into 200, 40, and 3. Then, I partitioned 65 into 60 and 5. Then, I added the ones: 5 + 3 which equal 8. Then, I added the tens: 40 + 60 = 100. Then, I have the 200. So, I added the 200 to the 100, and then added the 8, to get a total of 308.’

• Drawing pictures.
• Using number lines or hundred squares.
• Using written methods of column addition and subtraction.

Your child will understand subtraction as ‘taking away’ as well as ‘difference’. Methods could include:

• Placing groups of objects into two rows to compare and find the difference.
• Finding the difference between two numbers by counting back or counting up. For example, 27 – 18 could be interpreted as ‘what is the difference between 27 and 18?’ Your child may count back from 27 to 18 to find the difference of 9, or count up from 18 to 27 to find the difference of 9.
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Y3 problem-solving: addition

What are problem-solving skills in Year 3 maths? 

In Year 3 maths, children will begin to develop problem-solving skills that involve applying mathematical concepts to real-world situations and puzzles. 

Here are some key problem-solving skills that are typically emphasised at this stage:

• Understanding the problem : reading carefully and grasping what's being asked.
• Identifying relevant information : picking out important numbers and relationships between the numbers.
• Choosing appropriate strategies : selecting the best method for solving the problem.
• Breaking down the problem : dividing complex problems into smaller parts.
• Trial and error : experimenting with different approaches.
• Verbalising and communicating solutions : expressing their ideas and thought process.
• Reflecting on solutions : evaluating outcomes and considering alternatives.

How will this Year 3 problem-solving worksheet help your child?

This downloadable PDF worksheet for Year 3 problem-solving was created by a seasoned educator with the purpose of helping children practise their problem-solving skills in relation to addition. They will need to use their addition skills to solve the real-world problems provided. 

Once they're feeling confident with their addition problem-solving skills, they can move onto our Y3 problem-solving: division activity or our Y3 problem-solving: subtraction worksheet. 

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Addition Word Problems Worksheets for Year 3

Browse printable Addition Word Problems worksheets for free and make your child's practice sessions fun and exciting. These year 3 worksheets engage children's cognitive processes and help enhance their creativity and memory retention skills. Get started now!

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• Order Numbers (10)
• Order 3-Digit Numbers (10)
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• Skip Count By 5 (11)
• Skip Count By 10 (7)
• Skip Count By 100 (11)
• Even And Odd Numbers (24)
• Place Value (38)
• Round Numbers (5)
• Round Numbers To The Nearest 10 (1)
• Round Numbers To The Nearest 100 (4)
• Addition (381)
• Add With Pictures (6)
• Addition Properties (26)
• Commutative Property Of Addition (5)
• Addition Strategies (102)
• Compose And Decompose Numbers (14)
• Add With 10 (22)
• Doubles And Near Doubles Addition Strategy (14)
• Make 10 Strategy (14)
• Add Using Multiples Of 10 (18)
• Add Three Whole Numbers (29)
• 2-Digit Addition (79)
• 2-Digit Addition Without Regrouping (37)
• 2-Digit Addition With Regrouping (10)
• 3-Digit Addition (92)
• 3-Digit Addition Without Regrouping (30)
• 3-Digit Addition With Regrouping (42)
• Subtraction (388)
• Subtract With Pictures (10)
• Subtraction Strategies (73)
• Subtract Using A Number Line (11)
• Subtract From 10 Strategy (10)
• Subtract Using Multiples Of 10 (17)
• 2-Digit Subtraction (144)
• 2-Digit Subtraction Without Regrouping (77)
• 2-Digit Subtraction With Regrouping (22)
• 3-Digit Subtraction (92)
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• 3-Digit Subtraction With Regrouping (24)
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Addition Word Problems Within 20 Worksheets

Part-Part-Whole Model Problems Worksheet

Print this worksheet to practice 'Part-Part-Whole' model problems like a math legend!

Write Equations Using Part-Part-Whole Model Worksheet

Learn number sense at the speed of lightning by writing equations using 'Part-Part-Whole' model.

Find the Sum Using Part-Part-Whole Model Worksheet

Combine math learning with adventure by solving to find the sum using 'Part-Part-Whole' model.

Solve Addition Word Problems Worksheet

Assess your math skills by solving addition word problems in this worksheet.

2-Digit Addition Word Problems Worksheets

Add 3 Numbers within 100: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet for students to practice adding three numbers within 100.

Add 3 Numbers within 100: Halloween Word Problems Worksheet

Solve fun Halloween-themed word problems worksheet that challenge you to add three numbers within 100.

Add 3 Numbers within 100: Shopping Word Problems Worksheet

This worksheet involves solving shopping-themed word problems by adding three numbers within 100.

Add 3 Numbers within 100: Summer Word Problems Worksheet

A fun summer-themed worksheet designed to help students add three numbers within 100.

All Addition Word Problems Worksheets

Creating Addition Story Problems Worksheet

Help your child revise addition by creating addition story problems.

Add 3 Numbers within 100: Travel Word Problems Worksheet

This worksheet helps students master adding 3 numbers within 100 using engaging travel-themed problems.

Add within 20: Summer Word Problems Worksheet

Summer-themed worksheet for students to practice adding numbers within 20 through word problems.

Add 3 Numbers within 100: Cooking Word Problems Worksheet

Whip up some math skills with this cooking-themed worksheet, adding 3 numbers within 100!

Add within 20: Halloween Word Problems Worksheet

Solve spooky word problems in this Halloween-themed addition worksheet for numbers up to 20.

Add 3 Numbers within 100: Winter Word Problems Worksheet

Engaging winter-themed worksheet that helps students practice adding three numbers within 100.

Add within 20: Christmas Word Problems Worksheet

Engage in festive learning with this worksheet, solving Christmas-themed addition problems within 20.

Add 3 Numbers within 100: Easter Word Problems Worksheet

Engaging Easter-themed worksheet for students to practice adding three numbers within 100.

Add within 20: Shopping Word Problems Worksheet

Engaging worksheet that merges shopping themes with solving addition problems up to 20.

Add 3 Numbers within 100: Thanksgiving Word Problems Worksheet

Engaging Thanksgiving-themed worksheet for students to practice adding three numbers within 100.

Add within 20: Travel Word Problems Worksheet

Engaging travel-themed worksheet designed to boost student's skills in adding numbers up to 20.

Solve Story Problems Using Bar Model Worksheet

Reinforce math concepts by practicing to solve story problems using bar models.

Add within 20: Sports Word Problems Worksheet

Engaging sports-themed worksheet designed to improve students' skills in adding within 20.

Add within 100: Summer Word Problems Worksheet

A fun summer-themed worksheet designed to enhance students' addition skills by solving word problems within 100.

Add within 20: Cooking Word Problems Worksheet

Engaging worksheet with a cooking theme to help students master adding numbers within 20.

Add within 100: Halloween Word Problems Worksheet

Spooky worksheet that combines Halloween fun with solving word problems, all within 100!

Add within 20: Winter Word Problems Worksheet

Engage in this wintery worksheet, solving fun arithmetic word problems by adding within 20.

Add within 100: Christmas Word Problems Worksheet

Christmas-themed worksheet challenging students to solve word problems by adding within 100.

Add within 20: Easter Word Problems Worksheet

Fun Easter-themed worksheet for solving word problems by adding numbers within 20.

Add within 100: Shopping Word Problems Worksheet

Engaging worksheet that makes adding within 100 fun with a lively shopping theme!

Add within 20: Thanksgiving Word Problems Worksheet

Thanksgiving-themed worksheet guiding students to solve addition problems within 20.

Add within 100: Travel Word Problems Worksheet

Engaging travel-themed worksheet to enhance students' skills in adding numbers within 100.

Add 3 Numbers within 20: Summer Word Problems Worksheet

A summer-themed worksheet for students to practice adding three numbers within 20 through word problems.

Add within 100: Sports Word Problems Worksheet

Sports-themed worksheet designed to strengthen students' skills in adding numbers up to 100!

Add 3 Numbers within 20: Halloween Word Problems Worksheet

Solve Halloween-themed engaging word problems worksheet by adding three numbers within 20!

Add within 100: Cooking Word Problems Worksheet

Engage in this fun cooking-themed worksheet, solving word problems by adding within 100.

Add 3 Numbers within 20: Christmas Word Problems Worksheet

Engaging Christmas-themed worksheet for students to practice adding three numbers within 20.

Add within 100: Winter Word Problems Worksheet

Engaging winter-themed worksheet designed to help students solve addition problems within 100.

Add 3 Numbers within 20: Shopping Word Problems Worksheet

Engaging worksheet that combines shopping-themed word problems with adding three numbers within 20.

Add within 100: Easter Word Problems Worksheet

Engaging Easter-themed worksheet designed to enhance students' ability to add within 100.

Add 3 Numbers within 20: Travel Word Problems Worksheet

Engaging travel-themed worksheet to practice adding three numbers within 20 through word problems.

Add within 100: Thanksgiving Word Problems Worksheet

Thanksgiving-themed worksheet with word problems to practice addition within 100.

Add 3 Numbers within 20: Sports Word Problems Worksheet

Engage in this sports-themed worksheet, solving word problems by adding three numbers within 20.

Complete the Addition Scenario Worksheet

Boost your math skills with this worksheet on 'Add to Compare Word Problems' scenarios.

Add 3 Numbers within 20: Cooking Word Problems Worksheet

Cook up some fun with this worksheet on solving word problems by adding 3 numbers within 20!

Add to Compare Using Multiple of 10 Worksheet

Boost math skills with this worksheet, tackling word problems using multiples of 10 for comparison.

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Engaging winter-themed worksheet to challenge students in adding three numbers within 20.

Add to Find How Many More Worksheet

Boost your child's addition skills with this engaging worksheet on comparison word problems.

Add 3 Numbers within 20: Easter Word Problems Worksheet

Easter-themed worksheet for students to practice adding three numbers within 20 through word problems.

Add to Find the Answer within 50 Worksheet

Boost your math skills with our worksheet on solving addition word problems up to 50.

Your one stop solution for all grade learning needs.

50 year 3 maths questions

Practise your maths skills with these 50 math questions for year 3 , covering addition, subtraction, place value, measurement, time, money, and geometry! Answers included.

Author Michelle Griczika

Published February 2024

• Key takeaways
• Mastering addition and subtraction skills helps us solve mathematical puzzles and apply them to real-life situations.
• Understanding place value enables us to correctly read, write, and compare numbers, developing our number sense and mathematical reasoning.
• Solving measurement word problems helps us apply mathematical concepts to practical scenarios, improving our problem-solving and critical thinking abilities.
• Exploring time and money concepts allows us to understand the world around us, manage our daily routines effectively, and develop essential life skills.
• Recognising shapes and their properties opens our eyes to the diverse world of geometry, helping us understand how objects are structured and enhancing our spatial awareness.

Table of contents

• Addition & subtraction
• Place value
• Measurement
• Time & money

Hello, year 3 mathematicians! Are you ready for some mind-boggling maths challenges?

We will be going over important maths skills needed to strengthen understanding of important mathematical concepts. Let’s dive in!

Section 1: Addition and subtraction

Section 2: place value.

Use the greater than symbol >, less than symbol <, or equal to symbol = to answer.

Answer: <

Answer: >

Section 3: Measurement

Answer: 53 centimetres

Answer: 38 centimetres

Answer: 32 centimetres

Answer: 35 centimetres

Answer: 55 centimetres

Answer: 68 centimetres

Answer: 84 centimetres

Answer: 40 centimetres

Answer: 50 centimetres

Section 4: Time & Money

Look at the analog clock and write the time to the nearest five minutes:

What time is shown on the digital clock?

Answer: £4.34

Answer: £5.08

Answer: 25 pence

Answer: £3.50

Answer: £4.37

Section 5: Geometry

Answer: Triangle

Answer: Square

Answer: Pentagon

Answer: Hexagon

Answer: Equilateral Triangle

Answer: Trapezoid

Answer: Cube

Maths practice for year 3 is super important because we use it every single day! For extra maths practice that comes in the form of fun maths games and interactive practice problems, try Doodle Learning’s maths help app .

Lesson credits

Michelle Griczika

Michelle Griczika is a seasoned educator and experienced freelance writer. Her years teaching coupled with her double certification in early childhood education lend depth to her understanding of diverse learning stages. Michelle enjoys running in her free time and undertaking home projects.

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

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Free Year 3 Maths Worksheets And Homework: Printable, Downloadable Or Just View Online

Sophie Bessemer

To make it easier for schools, teachers and even parents, we’ve collected here all our free Year 3 Maths Worksheets and Year 3 Maths Tests that you can use to support Year 3 maths classroom teaching and homework.

The focus here is on practising and improving pupils’ core skills and revising what you have taught them in class, especially with numbers worksheets. National Curriculum guidance is given where relevant and each year 3 worksheet and year 3 test includes answer sheets.

All the free KS1 and KS2 maths worksheets and resource are in printable pdf format that can also be used directly on screen. If you’re looking for other slides-based teaching resources and lesson plans, we recommend you look at our range of White Rose maths lessons.

If you’re a parent looking for more advice, try our home learning   home learning hub full of home learning packs , tips and teaching ideas for Year 3 Maths at Home and maths homework .

If you’re a teacher or school leader who is interested in improving maths attainment in your school or classroom, then this whole website is for you. Third Space Learning is dedicated to improving outcomes in maths with our online tutoring programme of maths interventions , together with maths resources and CPD.

Free Year 3 Maths Worksheets and Tests

Register now with the Third Space Maths Hub (Use Chrome) to download all our free Year 3 maths worksheets, workbooks and resources

Year 3 free place value worksheets

Year 3 maths worksheets on place value: all kinds of word problems.

These Year 3 number and place value worksheets give lots of practice on one-step and two-step word problems to strengthen children’s understanding of place value and ordering numbers.

Download the free Year 3 Number and Place Value workbook

Other year 3 place value worksheets:

Year 3 place value worksheets: maths code crackers.

This place value worksheet provides a fun recap of the place value topic. Children need to solve place value questions (including writing numbers, comparing numbers and ordering numbers) to find the answer to a pirate themed joke. 

Download the free Maths Code Crackers Year 3 Place Value   

Year 3 place value worksheets: Worked Examples Place Value  

Children love to be the teacher! These worksheets include five answered questions, but they haven’t always been answered correctly. Children need to check the given answers to place value questions involving number lines, Base 10 and counters and explain the errors they find.

Download the free Year 3 Worked Examples Place Value

Year 3 free addition and subtraction worksheets

Year 3 maths worksheets on addition and subtraction: gap plugging pack.

These lessons are what we use during our online maths interventions. The year 3 addition and subtraction worksheets include lots of addition and subtraction questions for children to follow along with. As they are intended to be used by a tutor teaching and supporting a child through their Year 3 addition and subtraction understanding, parents may need to be prepared to step in occasionally. 

Download the free Year 3 Addition and Subtraction worksheets or check out or full collection of addition and subtraction worksheets for even more!

Year 3 free multiplication and division worksheets

Year 3 maths worksheets on multiplication: all kinds of word problems.

The Y ear 3 multiplication worksheets work on children’s understanding of multiplication facts and multiplication tables in context. Year 3 is a big times tables year so make sure you encourage the learning of times tables at home .

Download the free Year 3 Multiplication worksheets

Year 3 Maths Worksheets on division: Short and Long Division Worksheets

Teaching the long division metho d as part of KS2 maths lessons is a challenge for many teachers let alone parents. Year 3 children won’t be ready for long division as it is not taught until upper key stage 2 but these long division worksheets start with short division so a child can progress from from 1-digit number division to division with 2-digit numbers using division facts and multiples.  See also this parents guide to division for kids.

Download the free Year 3 division worksheets

Year 3 Maths Worksheets on multiplication & division: Code Crackers

We’ve combined what 7 and 8 year old children should know by the Spring term of Year 3 to create these ‘retrieval’ practice tasks. This means they are able to work through a series of questions that revisits what they’ve learnt in class. 

Download the free Year 3 multiplication & division worksheets

Other year 3 multiplication and division worksheets

Year 3 division word problems worksheets: all kinds of word problems on division year 3.

This workbook includes a range of different types of worded problems to challenge children. The questions range from ‘traditional’ worded problems to missing number problems to make sure children have a good understanding of division.

Download All Kinds of Word Problems on Division Year 3

Year 3 Division Worksheets: Let’s Practice Using the Bar Model Division Year 3

Division can be very challenging for some children. These worksheets encourage the use of bar models to visualise and solve different division problems. With either scaffolded sheets (showing the relevant bar model) or non-scaffolded sheets, these worksheets provide a range of worded division problems that can be easily solved with the help of a bar model. 

Download Let’s Practise Using the Bar Model Division Year 3 Maths Worksheets

Year 3 Multiplication and Division Worksheets: Worked Examples Multiplication and Division

These worksheets show a range of techniques used when teaching multiplication and division in Year 3. In these worksheets, children are presented with completed questions using formal column multiplication, sharing, partitioning and using a number line to complete calculations, but the answers are not always right. Children will need to work through the questions to find the correct answer and explain the errors. 

Download Year 3 Worked Examples Multiplication and Division

Year 3 free fractions worksheets

Year 3 maths worksheets on fractions: independent recap.

Our newest resource – these time saving maths worksheets are designed to be completed by children with little support from parents or teachers, making them great homework activities for busy afternoons. This pack contains four worksheets that cover ordering, adding and subtracting fractions.

Download the Year 3 Fractions Independent Recap Worksheets Pack

Year 3 Maths Worksheets on fractions: All Kinds of Word Problems

Understanding of fractions starts early and builds progressively in key stage 2. This year 3 fractions worksheet provides questions around unit and non-unit fractions including comparing and ordering and adding and subtracting; lots more fractions for kids help is available. 

Download the free Year 3 Fractions worksheets

Other year 3 fractions worksheets

Year 3 fractions worksheet: code crackers .

This fun worksheet focuses on comparing and ordering fractions, finding equivalent fractions as well as adding and subtracting fractions, all to find the answer to a joke.

Download Year 3 Fractions Worksheet: Code Crackers

Year 3 fractions worksheets: Worked Examples

Fractions are not always easy for all children to understand. By looking at and correcting the work of others, children often find it easier to explain mistakes. This worksheet focuses on enabling children to identify and explain the mistakes in a range of fractions questions, including fractions on a number line and fractions of amounts.

Download Year 3 Fractions Worksheet: Worked Examples

Year 3 fractions worksheets: Let’s Practise Using the Bar Model Fractions and Decimals

This worksheet encourages the use of bar models to solve fractions questions. While decimals are not taught explicitly in Year 3, this worksheet introduces two questions that involve decimals to start to develop the connection between fractions and decimals. 

Download Let’s Practise Using the Bar Model Fractions Year 3 Maths Worksheets

Year 3 free measurement worksheets

Year 3 maths worksheets on money: code crackers.

Money is a surprisingly big part of the Year 3 maths curriculum. The Code Crackers series of maths worksheets is perfect for Year 3 homework as it requires very little intervention from parents. There is no new content introduced. 

Download the free Year 3 Money worksheets

Other year 3 measurement worksheets

Year 3 money worksheets: worked examples.

Adding and subtracting money is an important life skill and part of the Year 3 curriculum. This worksheet covers adding and subtracting money in pounds and pence, including the use of estimating and number lines.

Download Year 3 money worksheet: Worked Examples

Year 3 time worksheets: Code Crackers

Year 3 children are expected to have a good understanding of time (including telling the time, knowing time language, know key time facts and compare durations of time). While this is a lot to know, this worksheet will help to recap these facts in an engaging way. 

Download Year 3 time worksheet: Code Crackers

Year 3 Maths Worksheets on Time: Year 3 Worked Examples Time

This worksheet focuses on a small selection of the Year 3 time topic that children often struggle with including telling the time to the nearest minute, understanding 24-hour time and finding the duration of events. 

Download Year 3 time worksheet: Worked Examples

Year 3 geometry worksheets

Year 3 maths worksheets on properties of shape: independent recap.

These worksheets have been designed so that children can independently recap key learning about key properties of 2D shape and 3D shapes as well as angles and naming different lines. While some of the questions might seem simple, each sheet includes a challenge to encourage reasoning skills. 

Download Year 3 properties of shape worksheet: Independent Recap Week 9 Download Year 3 properties of shape worksheet: Independent Recap Week 10

Year 3 Maths Worksheets on Properties of Shape: Maths Code Crackers Year 3

While children are taught about shapes from Year 1, they are expected to use more complex language to describe a range of shapes in Year 3. This worksheet focuses on the properties of 2-D and 3-D shapes, including and understanding of lines of symmetry and angles. 

Download Year 3 properties of shape worksheet: Maths Code Crackers

Year 3 Maths Worksheets on Properties of Shape: Year 3 Worked Examples

This worksheet focuses more on the key vocabulary needed to describe properties of shape including vocabulary for lines (vertical/ parallel), 2-D shapes (quadrilateral) and angles (acute angles, right angles).

Download Year 3 Maths Worksheets on Properties of Shape: Year 3 Worked Examples

Year 3 free statistics worksheets

Year 3 maths worksheets on statistics: code crackers.

Children are presented one-step and two-step retrieval questions about a bar chart and table. The worksheet helps them to develop their ability to read and interpret data presented in different ways. Simple tables are not new to Year 3 pupils and bar charts build on their existing knowledge of block diagrams.

Download the free Year 3 Statistics worksheets  

Other year 3 statistics worksheets

Year 3 maths worksheets on statistics: worked examples.

In this worksheet, children are presented with a table, pictogram and a bar chart to read and interpret. This worksheet highlights some of the common errors that are made by Year 3 children in statistics lessons.

Download the year 3 statistic worksheet: Year 3 Worked examples

Year 3 fluency, reasoning and problem solving worksheets

Year 3 maths worksheets for improving mental maths, arithmetic and fluency: fluent in five.

We recommend every primary school child starts their day with Fluent in Five. It’s 5-10 minutes of daily arithmetic questions; at this age, your child has to answer 4 questions using either a written or mental method and it’s a fantastic way to develop their numeracy. You’ll be amazed how quickly they become able to switch back and forth from column addition to the mental method with 3-digit numbers! 

Download the free Year 3 Arithmetic worksheets

Year 3 Maths Worksheets for problem solving and reasoning: Rapid Reasoning

Children often struggle with maths reasoning at KS2 , e specially in lower Key Stage 2. This set of more than 120 maths reasoning questions includes modelled answers and step by step guidance to support pupils through solving them. Each Year 3 maths reasoning worksheet has approximately 4 questions on it.

Download the free Year 3 Reasoning worksheets

Year 3 Maths Test: Times Tables

It’s essential that children become proficient and quick at their times tables especially now the multiplication tables check is coming into force and schools really need parents support in this. Here are some quick times tables tests that Year 3 children can mark themselves to identify any gaps in their times tables and track their progress.

Download the free Year 3 Times Tables tests

Year 3 Maths Test: All Topics

This Year 3 maths assessment covers the entire Year 3 maths curriculum and is a great way to get an overall view of how a child is doing in maths. There are two tests: a year 3 maths arithmetic test and a year 3 maths reasoning test. Although the time allowed may vary, at home we recommend setting aside an hour for each. Remember that some topics they may not yet have covered in class, so like any formative or summative assessment it’s only a snapshot. 

Download the free Year 3 Maths test 

Also in this series…

• Year 2 Maths Curriculum Toolkit for 6 & 7 Year Olds
• Year 2 Maths Worksheets
• Year 4 Maths  Curriculum Toolkit for 8 & 9 Year Olds
• Year 4 Maths Worksheets
• Year 5 Maths Curriculum Toolkit for 9 & 10 Year Olds
• Year 5 Maths Worksheets
• Year 6 Maths Curriculum Toolkit for 10 & 11 Year Olds
• Year 6 Maths Worksheets

Looking for fun games and activities to boost pupils’ learning? We’ve got several articles sharing teacher approved maths activities and fun maths games , including KS2 maths games , KS1 maths games and KS3 maths games for all maths topics and a set of 35 times tables games and multiplication games you’ll want to bookmark whichever year group you teach!

Read more: Commutative property

DO YOU HAVE PUPILS WHO NEED MORE SUPPORT IN MATHS?

Every week Third Space Learning’s maths specialist tutors support thousands of students across hundreds of schools with weekly primary school tuition designed to plug gaps and boost progress.

Since 2013 these personalised one to one lessons have helped over 169,000 primary and secondary students become more confident, able mathematicians.

Learn about the Year 3-5 programme or request a personalised quote for your school to speak to us about your school’s needs and how we can help.

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Year 3 Addition & Subtraction

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Grade 3 Addition and Subtraction, Math

Subject: Maths for early years

Age range: 3-5

Resource type: Worksheet/Activity

Last updated

21 September 2024

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Master essential addition and subtraction skills with this 119-page Grade 3 math workbook. Fun exercises, real-life examples, and a user-friendly format boost learning! The “Grade 3 Addition and Subtraction Math Workbook” is a comprehensive educational tool designed to help third-grade students master essential arithmetic skills. Spanning 119 pages and sized at 8.5 x 11 inches, this workbook offers a structured approach to addition and subtraction through a variety of exercises, from basic calculations to word problems. Featuring real-life examples and a user-friendly layout, the workbook encourages independent learning while building students’ confidence and problem-solving abilities. Ideal for teachers, parents, and students, this resource lays the foundation for future mathematical success by making learning engaging and accessible.

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Problem-Solving Booklet: Year 3

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This Problem-Solving Booklet is a great resource for your students to practise utilising problem-solving skills.

This booklet has 18 pages of questions, having students apply addition, subtraction, division, and multiplication operations to answer the problem. Each page has the students identify the operation needed and the problem-solving strategy they will use, then record the number sentence to solve the problem. Some problems have multiple steps to extend students. It also contains two cover pages as it may be suitable to use with other year grades.

This would work well in small group activities, extension work, or as an independent task.

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Addition Word Problems - Part 3

In this engaging lesson, students will learn how to solve addition word problems using a step-by-step approach. They will treat word problems as mysteries and use a part-part-whole model as a mystery box to solve them. Students will identify clues, place them in the model, write equations, and find the answers. The Count On Strategy will be introduced as a helpful tool for solving addition problems. Through various tasks and activities, students will develop their problem-solving skills and deepen their understanding of addition concepts.

Know more about Addition Word Problems - Part 3

Your one stop solution for all grade learning needs.

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Daily Maths Word Problems – Year 3

Updated:  04 Oct 2023

A set of 20 problem solving questions suited to year 3 students.

Non-Editable:  PDF

Pages:  6 Pages

• Curriculum Curriculum:  AUS V8, NSW, VIC, AUS V9
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Recall addition facts for single-digit numbers and related subtraction facts to develop increasingly efficient mental strategies for computation

Represent and solve problems involving multiplication using efficient mental and written strategies and appropriate digital technologies

AdditionandSubtraction - uses mental and written strategies for addition and subtraction involving two-, three-, four- and five-digit numbers

Multiplication and Division - uses mental and informal written strategies for multiplication and division

Fractions and Decimals - represents, models and compares commonly used fractions and decimals

Multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies

Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate problems using number sentences and choose calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms of t

Extend and apply knowledge of addition and subtraction facts to 20 to develop efficient mental strategies for computation with larger numbers without a calculator

Advance Your Students’ Problem-Solving Skills

This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.

An answer sheet has been included. Use this resource in conjunction with the Daily Maths Problems PowerPoint.

NAPLAN Year 3 Maths Preparation

These simple problem-solving questions are also a great way to help students understand some of the word problems they may encounter when sitting NAPLAN. It’s important to give your students strategies that they can draw on when presented with a word problem in maths. Using these problem-solving questions here are some suggested strategies you can empower your students with:

• Daily practice. After spending time explicitly explaining how to work through a word problem – use the word problems from these worksheets as daily problem-solving practice.
• Teach them the strategies. There are many ways students can solve maths word problems such as; breaking the word problem into smaller parts and drawing a picture to visualise what the problem is asking.
• Underline. Teach your students to underline the important parts of a maths word problem – remind them that there is often trick information in word problems that they don’t need to solve the problem.

How to Use This Resource

Once you download the PDF, there are many ways you can use the resource. Here are some suggestions:

• Print and create booklets for your students to use.
• Cut and laminate each word problem and have students use mini whiteboard markers to solve one problem a day.

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Use these base ten block matching cards to help your students practise number recognition and place value skills for numbers up to 1000.

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A set of place value cards to help students explore and expand larger numbers.

Percy's Place Value Puzzle

A worksheet to use to consolidate student understanding of place value to the thousands.

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Piggy Bank Pigs - Australian Coins

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Years 3 & 4: Addition and Subtraction

This list consists of visual resources, activities and games designed to support the new curriculum programme of study in Years 3 and 4. Containing tips on using the resources  and suggestions for further use it covers:

Year 3 : adding and subtracting numbers up to 3 digits mentally and using formal methods, estimating answers, using inverse operations to check answers and solving problems.

Year 4 : adding and subtracting numbers up to 4 digits using formal methods, estimating answers, using inverse operations to check answers and solving two step addition and subtraction problems.

Visit the primary mathematics webpage to access all lists.

'Wave 3 materials': supporting children with gaps in their mathematical understanding

Quality Assured Category: Mathematics Publisher: Department for Education

These booklets highlight common errors and misconceptions in addition and subtraction children may hold in KS2. E.g. page 23 highlights a possible reason for calculation errors; that a child may not yet be secure in number bonds to 20. An activity is detailed to help develop the child's understanding and help to fill in any gaps in their learning. A great resource for supporting small groups or individuals.

Quality Assured Category: Mathematics Publisher: SMILE

Three resource packs contains work cards including games, activities and calculations based around simple counting, number bonds to ten, addition using money and adding two and three digit numbers. Some activities use base ten to support column addition, others practise addition through games and investigation. They start with simple addition and extend to more difficult tasks.

Subtraction

Six work cards for running activities on subtracting two digit numbers using physical apparatus and using the column method. One card demonstrates how base ten apparatus may be used to aid subtraction of two digit numbers from two digit numbers. This could be extended to subtract two digit numbers from three digit numbers. It also includes games to practise subtraction.

Calculation Activities for Students Aged 7-9

Quality Assured Category: Mathematics Publisher: Nelson Thornes

A collection of worksheets which can be used to reinforce calculation skills. They are useful for homework or as a reinforcement of key ideas.

This selection of games may be laminated and used by children to practise calculation with many games on addition and subtraction. Use as a starter, activity with small groups, to extend or support or even for homework. The games practise addition subtraction with 1 or 3 digits.

NRICH: A Daring Dozen

Twelve resources to help children get you thinking mathematically.

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Australian Curriculum Mathematics V9 : AC9M3N03

Numeracy Progression : Additive strategies: P8, Number and place value: P5

At this level, students consolidate and deepen place value knowledge of two- and three-digit numbers. They do this by partitioning, rearranging and regrouping numbers to help in addition and subtraction calculations.

Use physical and virtual materials and visual representations to explore the proportional nature of place value parts when solving addition and subtraction problems. Provide repeated opportunities for students to explore different ways of partitioning, rearranging and regrouping when making calculations. For example: they explain that 163 + 28 can be more easily solved by breaking the numbers into place value parts, that 160 + 20 = 180 and 3 + 8 = 11, which then becomes 180 + 11 which makes 191.

Pose addition and subtraction problems horizontally (rather than vertically) to encourage students to think about problems in terms of place value parts. Ensure that students know they can rewrite and think about addition and subtraction problems horizontally, even if they are presented vertically to begin with. Use regular number talks to develop mental computation strategies. Include a focus on applying addition and subtraction strategies in a range of contexts, including through story problems.

Ensure students understand that different strategies will be more efficient at different times, for different people and across different problems.

Encourage students to value depth over speed. Celebrate sense-making, reasoning and lessons learned from mistakes when exploring and sharing strategies.

Teaching and learning summary:

• Use classroom talks and play-based explorations, in conjunction with explicit teaching, to support key understandings.
• Encourage reasoning, and emphasise the similarities and differences between different computation strategies used.

• justify choices when partitioning and regrouping numbers to perform addition and subtraction
• mentally solve addition and subtraction problems using partitioning, rearranging and regrouping, and explain the strategy used
• use written recordings to clearly display the solution used
• apply strategies involving partitioning, rearranging and regrouping when solving worded problems.

Some students may:

• be able to identify place value parts and count orally to 100 and beyond but still think about two- and/or three-digit collections additively in terms of ones (for example, understand 468 as the sum of 400 ones, 60 ones and 8 ones). To address this, consolidate place value understanding by comparing and ordering two-digit numbers (for example, which is larger – 2 bundles of ten and 3 ones, or the number 41 shown on a number line), counting forward and backward by tens and ones, and by renaming (for example, 32 is 3 tens and 2 ones; it’s also 32 ones; and it can also be 2 tens and 12 ones).
• consider each digit in an addition problem as a separate number as opposed to representing a place value part. When using the vertical or column method, failing to recognise the place value of the digits leads to a lack of reasoning and precision. To address this, present addition problems horizontally and create habits of reasoning that draw on place value understanding through number talks and other activities that focus on mental computation and breaking numbers up into their place value parts.

• subtract the smaller digit, regardless of which appears first when using the vertical or column method, indicating a lack of reasoning and understanding of the operation being used. To address this, present subtraction problems horizontally and create habits of reasoning through number talks and other activities that invite mental computation strategies and involve thinking in terms of place value parts.

The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.

Learning intention

• We are learning how place value parts help solve addition and subtraction problems.

Why are we learning about this?

• We use addition and subtraction in everyday contexts.

Use two- and three-digit numbers every day.

• Go on a number hunt. Look for, recognise and read the numbers around you, for example, numbers you notice around you on signs, calendars, speed signs and houses.
• Use everyday opportunities to practise using mental addition and subtraction strategies, such as predicting the change you will get at the store.
• Play ‘Guess my number’ or other games to put place value understanding into practice. Player 1 writes a two- or three-digit number on a piece of paper and the Player 2 asks ‘yes/no’ questions about it until they guess it. Example questions could be, ‘Is it larger than 500? Does it have an odd number in the hundreds place?’.

See mistakes as opportunities

• Know that mistakes are normal whenever we are learning or growing.
• When you get an incorrect answer, take the time to be curious about the mistake and see if you can learn from it. Which part of your strategy doesn’t quite make sense? How else could you approach the same problem?

Success criteria

• use the relationship between addition and subtraction to make some calculations
• solve addition problems mentally and verbally (for example, without pencil and paper) using place value parts
• solve subtraction problems mentally and verbally (without pencil and paper) using place value parts.

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Teaching strategies.

A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well. 

Concrete, Representational, Abstract (CRA model)

The CRA model is a three-phased approach where students move from concrete or virtual manipulatives, to making visual representations and on to using symbolic notation.

Culturally responsive pedagogy

Mathematics is not an exclusive western construct. Therefore, it is important to acknowledge and demonstrate the mathematics to be found in all cultures.

Collaborative learning

For group work to be effective students need to be taught explicitly how to work together in different settings, such as pairs or larger groups, and they need to practise these skills.

Questioning

A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.

Multiple exposures

Providing students with multiple opportunities within different contexts to practise skills and apply concepts allows them to consolidate and deepen their understanding.

Classroom talks

Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.

Teaching resources

A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.

Picture Storybooks: Year 3 place value

Use picture storybooks regularly to spark curiosity and interest in place value and related concepts.

Classroom Talks: Year 3 – Place Value

Run 5- to 15-minute classroom talks regularly to consolidate and build upon the foundations of place value.

resolve: Addition: Chess – The Rook

Explore addition using place value parts using the concept of chess.

Addition and subtraction with whole numbers

Use this unit to explore situations involving addition and subtraction where students choose strategies, using place value understanding.

Which would you do in your head?

Encourage students to think about which strategies suit them best when solving different addition and subtraction problems.

Wishball challenge: hundreds

Encourage students to think about the best strategies to use when solving different addition and subtraction problems.

Composition and calculation: 1,000 and four-digit numbers

Explore the composition of 1,000 and four-digit numbers.

Relevant assessment tasks and advice related to this topic.

By the end of Year 3, students extend and use single-digit addition and related subtraction facts and apply additive strategies to model and solve problems involving two- and three-digit numbers.

Assessment: Find the Solutions

Use the problems involving addition and subtraction to assess key understandings.

How many ways can you solve?

Use this task to gauge how students generate and reflect on strategies based on place value when solving problems.