problem solving place value year 2

Number & place value in Year 2 (age 6–7)

In Year 2, your child will learn to compare and order numbers from 1 to 100. They will recognise the place value of two-digit numbers, and will be able to use this to solve problems. They will also make more use of number lines and will be able to use less than (<), more than (>), and equals (=) symbols.

The key words for this section are number and place value .

What your child will learn

Take a look at the National Curriculum expectations for number and place value in Year 2 (ages 6–7):

Count in 2s, 3s, and 5s from 0, and in 10s from any number

Recognise the place value of two-digit numbers.

For example, in ’25’, they will understand that the first number (2) shows the number of tens, and the second number (5) shows the number of ones. So there are two tens and five ones in the number 25. Note that your child will say ones and not units when talking about place value.

Identify, represent, and estimate numbers shown in different ways

Your child will be expected to use objects, drawings/diagrams/pictures, number lines and 100 squares , and symbols to represent numbers. They will make these representations themselves, and will also be able to understand them when someone else has made them.

Your child will also start to estimate numbers based on different representations. For example, they will be able to say, ‘each of those piles of sticks has about 10 sticks, so we have about 30 sticks.’

Compare and order numbers from 0 to 100

Your child will be able to compare two numbers to say which one is bigger and which one is smaller. They will also be able to explain why:

47 is more than 29 as 47 has 4 tens compared with 29 which only has 2 tens.

Your child will learn to put a selection of numbers between 0 and 100 in order:

46, 19, 3, 76, 43, 79 in order from smallest to largest are 3, 19, 43, 46, 76, 79.

Your child will use the words will use the words  more , less , fewer , more than , less than , equal to , equivalent to , and the same value as when comparing numbers. They will use the word  fewer  when working with things that can be counted, and less when working with abstract numbers and things that are  continuous .

‘I have 3   fewer   sweets than you.’   ‘There is   less   water in the glass than in the bottle.’   ‘25 is   less  than 42.’

They will also be able to use the more than (>), less than (<) and equals (=) symbols to compare numbers.

Read and write numbers up to at least 100

Your child will read and write numbers to at least 100 in numerals (1, 2, 3, and so on) as well as in words (one, two, three, and so on).

Writing out the numbers 10–20 can be particularly tricky for children, so your child might need a bit more focus on these numbers to start with.

Use place value and number facts to solve problems

‘If I have 6 apples and you have 4 apples, how many apples do we have altogether?’

To solve this problem, your child needs to understand that zero can be used as a placeholder in numbers like 10, where the ‘1’ means that there is one ten, and the ‘0’ means there are no ones.

How to help at home

There are lots of ways you can help your child to understand number and place value. Here are just a few ideas:

1. Represent numbers creatively

Showing numbers in interesting ways really helps your child to understand number and place value. Objects from around the home like buttons, dried pasta shapes, marbles, or pencils are great to practise counting and organising numbers. For example, ’32’ could be represented by 32 marbles arranged into three groups of ten and two ones.

As well as objects, your child can use drawings, diagrams, or symbols to represent numbers. For example, you could draw 23 stick figures, then draw a circle around each group of ten, with three left outside of the circles. This shows that 23 is made from two tens and three ones.

Video: What is number?

Get a simple definition of the concept of number and the difference between cardinal, ordinal and nominal numbers with this fun animation.

2. Play a matching game

Your child will be expected to write numbers up to 100 using numerals and words. You could support their learning by playing a matching game.

Make two sets of simple cards or pieces of paper. On one set of cards, write numbers in numerals (for example, ’67’). On another set of cards, write the matching number names (for example, ‘sixty-seven’). Mix all the cards up and play snap.

Activity: Number words

3. Compare and order numbers

Encourage you child to talk through how they know that one number is bigger or smaller than another:

I know that 32 is smaller than 76, because 32 only has 3 tens, and 76 has 7 tens.

Encourage your child to use more than (>) and less than (<) symbols when comparing numbers. For example, they could write 32 < 76 or 76 > 32.

You could practise ordering with a card game. Write twenty two-digit numbers and the ‘>’ and ‘<‘ symbols on separate pieces of paper. Deal your child two numbers, face down. Ask them to turn over the pieces of paper and to use the ‘>’ and ‘<‘ symbols to show which number is bigger or smaller.

Activity: Number statements

When your child is counting objects, ask them to estimate how many there are before they count them. Being able to make accurate estimates within mathematics is a valuable skill we use in everyday life. It will help them to tell if their answers to maths problems are reasonable or not.

When counting more than ten objects in a set, it is an important skill for your child to be able to group objects in groups of ten. For example, if they are counting 36 buttons, encourage them to begin by counting out buttons into groups of ten. They will then have 3 groups of ten buttons and 6 buttons on their own.

Activity: Counting coins

5. Partition numbers in different ways

Partitioning means to break numbers into parts. Use practical resources, such as straws grouped in tens, to partition numbers in different ways. For example, the number 54 can be partitioned into 50 + 4, 40 + 14, 30 + 24, 20 + 34, or 10 + 44.

This will help your child to see patterns in numbers as they develop their calculation skills.

6. Using number facts

To help reinforce your child’s understanding of number, try to find everyday opportunities for them to use known number facts to solve problems.

This is a really easy thing to do at home and in the shops. For example:

‘If we buy 7 apples and 3 bananas – how many pieces of fruit do we have altogether?’   ‘If we have 10 people coming to your party and we have 5 party bags, how many more do we need to buy?’

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Year 2 – Place Value

Welcome to Year 2 Place Value at Primary Maths Hub. Here you will find a growing library of outstanding resources and activities to support place value lessons in Year 2 and at home.  

If there’s a resource you’d like to see here, just visit our ‘Request a Resource’ page and Primary Maths Hub will create the resource and add it to the site.

Do Now Tasks / Starters

Compare Numbers to 100 – Do Now Tasks

Number Line to 100- Do Now Tasks

Count in Steps of 2 From Zero

Count in Steps of 2,3,5 From Zero

Count in Steps of 3 From Zero

Count in Tens From Any Number

Read and write numbers.

How to Write Numbers to 100

Write Numbers to 100 in Digits

Write Numbers to 100 in Words

Write Numbers to 100 in Expanded Form

Compare and order numbers.

Compare Numbers to 1000

Order Numbers to 100

Order Numbers to 100- Different Representations

Partition numbers.

Partition Tens and Ones

Flexibly Partition Numbers to 100

Representation and number line.

Represent Numbers to 100 on a Number Line

Number Lines to 100

Tens on a Number Line to 100

Number Lines to 100 (Portrait)

Estimate Numbers on Number Line

Tens and Ones on a Number Line to 100

Word problems and challenges.

Estimate Numbers on a Number Line- Challenges

Tens on a Number Line- Challenges

Flexibly Partition Numbers to 100- Challenges

Order Numbers to 100- Challenges

Compare Numbers to 100- Challenges

Use Place Value Chart- Challenges

Equality and inequality statements.

Equality and Inequality Statement Matching

Resources to support place value.

Arrow Cards

Use Place Value Chart

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Problem Solving: Year 2 – Number and Place Value – Maths Challenge

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These problem-solving worksheets provide extra challenge for Y2 children. A variety of problems are spread across three sections, enabling you to use the whole sheet during a single lesson or to select specific problems for different teaching sessions, or home learning.

Y2 maths objective: use place value and number facts to solve problems.

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Let's solve place value problems

This Year 2 'Let's solve place value problems' scheme of work is a great way to familiarise your class with numbers to one hundred. By the end of the week, they will be able to identify, make and represent the numbers in a variety of different ways and they will have recapped their knowledge of how to use place value to solve number problems.

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#TheCompleteSeries5lessons

With detailed lesson plans, engaging slides, differentiated worksheets and many other resources, these 'Let's solve place value problems' lessons provide all you need to teach this useful scheme of work.

#Lesson1UsingVennDiagrams

The first lesson in this series encourages your class to identify and discuss how numbers have been sorted into different Venn diagrams. Your class will have the opportunity to work out the rule that has been used to sort numbers, as well as adding more numbers to the different sections of the Venn diagram.

What's included:

• Lesson plan
• Activity ideas
• Missing number grids
• Venn diagrams
• Photo sheet

#Lesson2GuessMyNumber

The second lesson in this series focuses on using the place value of digits to solve number problems. Your class will be encouraged to work out which number is being described from a series of clues. Numbers are shown in various forms such as numerals, words and represented using base ten blocks.

• Question cards
• Number sets
• Jigsaw cards

#Lesson3RepresentingNumbersWithCoinsBeads

The third lesson in this series encourages your class to explain why different representations of coins and beads denote certain numbers.

These activities will promote the use of mathematical language, reinforcing the use of place value skills as well as representing numbers in different forms.

• Differentiated worksheets
• Number cards

#Lesson4OrderingNumbers

During the fourth lesson in this series, your class will apply their knowledge of number facts and place value to order dates and prices. The exciting activities include ordering famous people by the age they were at significant points in their lives and sorting temperatures in the United Kingdom and around the world. Your class will also have the opportunity to order money and date cards.

• Temperature cards
• Number card sets

#Lesson5SecretNumber

In the fifth and final lesson in this series, your class will continue to apply their knowledge of number facts and place value to solve a range of problems. During the teaching input the children will read several clues to work out a secret number using a hundred square to help. Finally the children will take part an end of unit quiz recapping various place value number problems they covered throughout the scheme.

• End of Unit quiz
• Market stall cards
• Fifty grids
• Hundred squares

Free Overview (Medium-Term Plan)

Download a free overview to support your teaching of this scheme of work.

Free Assessment Grid

Download a free, editable assessment grid to support your teaching of this scheme of work.

Curriculum Objectives covered

• Year 2 - count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward
• Year 2 - recognise the place value of each digit in a two-digit number (tens, ones)
• Year 2 - identify, represent and estimate numbers using different representations, including the number line
• Year 2 - use place value and number facts to solve problems

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Year 2- Autumn Term- Block 1- Place Value Reasoning Slides

Subject: Mathematics

Age range: 5-7

Resource type: Other

Last updated

11 July 2020

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Reasoning slides for place value- year 2

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Year 2 Place Value Bundle

Everything you need to teach Place Value for Year 2! Editable Teaching Slides Maths Vocabulary Cards Reasoning Tasks 17 Differentiated Lessons Week 1: L1- Count objects to 100 and read and write numbers to 100 in numerals and words L2- Count objects to 100 and read and write numbers to 100 in numerals and words L3- Represent Numbers to 100- Bead strings L4- Represent Numbers to 100 – Variety of Pictorial Representations L5- Partition Tens and Ones – Part Whole Models Week 2: L6 – Tens and Ones – Matching partitioned numbers L7 – Tens and Ones – Part whole models L8 – Place Value Charts L9 – Place Value Charts- Completing L10 – Comparing Objects Week 3: Year 2- Week 3 Place Value differentiated worksheets L11- Comparing numbers using words L12- Comparing numbers using comparison symbols L13- Ordering numbers using a number line L14-Ordring numbers (cutting out) L15- Ordering numbers (objects) L16- Counting in 2s, 5s and 10s L17- Counting in 3s

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