# Teaching for mastery in primary maths

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## Numbers up to 20

• Year group: Year 1
• Term: Autumn
• Topic: Number and place value
• Duration: 2 weeks
• Keystage: KS1
• Age Range: 5 to 6 yrs
• Unit can be taught out of sequence: N
• Week Range: 10 - 11

In this chapter, pupils are introduced to the numbers 11 to 20. It takes a similar approach to the previous chapter in that pupils continue to practise counting, comparing and ordering numbers.

The key to this chapter, however, is that pupils start to partition numbers above 10 into tens and ones. They use part-whole diagrams to reinforce their understanding and, as before, work with many different concrete and pictorial representations of numbers.

Pupils continue to use language, including “equal to”, “more than”, “less than”, “fewer”, “most” and “least”. They count forwards or backwards to 20, beginning at 0 or 1, or from any given number. They can also identify “one more” and “one less” than a given number.

This chapter lays the essential foundations of place value, as pupils begin to recognise the place value of each digit in a two-digit number (ie, in tens and ones).

Download all number and place value chapters as a PDF

## Resources for this topic

### White Rose Maths

#### Year1 - Numbers within 20 - More or Less

A worksheet for Y1 teachers to use with children looking at comparing numbers within 20. The sheet gets pupils to represent numbers using pictures and ten frames and encourages use of language of more or less

#### Reasoning - Problem Solving - Money Problems (KS1/2) - March 8th

Today's problems are ones that involve reasoning and problem solving with the numbers. There are two problems for KS1 and two for KS2.

In KS1 problem children have to use a number line to work out the size of the interval and then locate a particular number. Children then have to work out the highest and lowest numbers you can make given three digit cards. Version 2 of the Y2 problems has a slightly less demanding problem Q1 that might be good as a warm up.

At KS2 children also need to find intervals on a number line, but the problem is a little more involved.. The second problem should be tacked systematically.

Every day in March the White Rose Maths Hub is aiming to put out a question of the day.

Tweet us @WRMathsHub a picture of your children's answers for a chance to win a prize.

### Mathematics Mastery

#### Numbers up to 20

Mathematical discussion is a key element of the Mathematics Mastery programme.

Talk Tasks are a brilliant way of enabling pupils to develop their mathematical language, thinking, understanding and confidence.

This activity explores the concept of numbers up to 20.

• Talk tasks are best completed in mixed attainment pairs, with pupils taking turns to listen and construct arguments
• Emphasis is on discussion rather than the solution, encouraging pupils to use key language and talk in full sentences
• Ask pupils to prove their answers in a variety of ways, using the CPA approach to support mathematical understanding and number sense

Like what you see?

Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

#### Numbers up to 20

Enabling pupils to develop their mathematical reasoning skills through independent work is a key element of the Mathematics Mastery programme.

This activity explores the concept of numbers up to 20

• Pupils should complete these tasks using concrete manipulatives as part of the CPA approach
• Pupils should be encouraged to explain their working in full sentences
• These tasks may be adapted with pupils working in pairs to encourage mathematical discussion

Like what you see? Mathematics Mastery is a professional development programme for teachers with a mission to transform mathematics education in the UK.

This task is just a taster of the complete classroom resources we offer. We also provide in-depth development training, online CPD, specialist support and assessment tools.

We believe all elements of our programme are vital in creating lasting change – enabling every child to enjoy and succeed in mathematics.

Want to find out more? Check out our free resources and blogs or join an information session.

### Resources shared by teachers

#### Year 1 - Week 10 - Number - Place Value 2

This is pack 1 of 2 on the second block of year 1 Place Value and covers the small steps:

- Counts forwards and backwards and write numbers to 20 in numerals and words
- Numbers from 11 to 20
- Tens and Ones
- Count One More and One Less

The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### Year 1 - Week 11 - Number - Place Value 2

This is pack 2 of 2 on the second block of year 1 Place Value and covers the small steps:

- Compare Groups of Objects
- Compare Numbers
- Order Groups of Objects
= Order Numbers

The resources aim to help children gain a deeper understanding of the concepts covered in the topic.

The resources include pictorial and abstract representations as well as reasoning and problem solving activities and more open ended problems to support and extend your whole class.

I hope you find them useful.

#### CURLY CATERPILLAR ACTIVITY, counting, numbers

A caterpillar numberline - use as you will I have used as a sequencing, ordering, missing number, follow the pattern sequence etc etc.

#### Matching numbers 11 - 20

Cards that can be used as a matching game with numbers, words and pictorial representations.

#### Self checking counting games

pupils love the fact that these 'magic' cards are self checking - good for one to one counting and numeral recognition