reasoning and problem solving year 2 place value

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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Place Value KS1

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

Two-digit Targets

You have a set of the digits from 0 to 9. Can you arrange these in the five boxes to make two-digit numbers as close to the targets as possible?

Mr Gilderdale is playing a game with his class. What rule might he have chosen? How would you test your idea?

Snail One Hundred

In this game, you throw a dice and move counters along the snail's body and in a spiral around the snail's shell. It is about understanding tens and ones.

Round the Two Dice

This activity focuses on rounding to the nearest 10.

Light the Lights

Investigate which numbers make these lights come on. What is the smallest number you can find that lights up all the lights?

If you put three beads onto a tens/ones abacus you can make the numbers 3, 30, 12 or 21. What numbers can be made with six beads?

Digit Addition

Try out this number trick. What happens with different starting numbers? What do you notice?

Largest Even

How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?

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Using place value to solve problems. Year 2, 2 lessons, differentiated, worksheets and IWB slides

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

2 September 2022

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Campbell164

Thank you a great help recapping on Place Value

IWB resources and children's activities.<br /> Thanks so much for this...i was losing the will to live with this objective. Complete life saver

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Place Value Charts Lesson

This Year 2 Place Value Charts lesson covers the prior learning of partitioning numbers, before moving onto the main skill of place value charts.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objective Mathematics Year 2: (2N2a)  Read and write numbers to at least 100 in numerals and words Mathematics Year 2: (2N3) Recognise the place value of each digit in a two-digit number (tens and ones) Mathematics Year 2: (2N4) Identify, represent and estimate numbers using different representations, including the number line

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Resources for teachers

Interactive activities for children

2 Teaching Support

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Modelling Powerpoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

Lesson Slides

These lesson slides guide pupils through the prior learning of partitioning numbers, before moving onto the main skill of place value charts. There are a number of questions to check pupils' understanding throughout.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

In this Place Value Charts Video Tutorial, Katie shows pupils how to partition 2-digit numbers into tens and ones on a place value chart, using lolly sticks to represent numbers.

1 Prior Learning

This worksheet recaps prior learning of partitioning numbers, before moving onto the main skill of place value charts.

In this Tens and Ones Partitioning Video Tutorial, Katie shows pupils how to partition a 2-digit number into tens and ones.

Interactive Activity

This Year 1 Tens and Ones Game has been designed to check pupils' understanding of partitioning numbers into tens and ones.

2 Practical Activities

Practical Activities

These practical activities include tasks covering a range of provision areas for pupils to practise the main skill of using place value charts.

2 Varied Fluency

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This Year 2 Place Value Charts Game aims to support pupils’ basic understanding of place value within 100, and encourage children to represent numbers in different ways.

2 Reasoning & Problem Solving

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of place value charts using Base 10.

This Year 2 Place Value Charts Maths Challenge is designed to check pupils' ability to read and represent 2-digit numbers in a place value chart.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Consolidation Pack

This resource is aimed at Year 2 Expected and has been designed to give children the opportunity to consolidate the skills they have learned in Autumn Block 1 – Place Value.

Learning Video Clip

Jib is responding to a distress signal from the planet Farlax. He needs your knowledge of place value charts to help him find the source of the signal and help the alien in distress.

Home Learning Pack

This Autumn week 2 Maths pack contains varied fluency, reasoning and problem solving worksheets.

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