# Teaching for mastery in primary maths

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## Numbers up to 10

• Year group: Year 1
• Term: Autumn
• Topic: Number and place value
• Duration: 4 weeks
• Keystage: KS1
• Age Range: 5 to 6 yrs
• Unit can be taught out of sequence: N
• Week Range: 1 - 4

In this chapter, pupils are introduced to the numbers zero to 10. It is essential that time is invested in this content so that pupils’ knowledge is secure before moving on.

Pupils count forwards and backwards within 10 and up to 10 objects. They begin to compare quantities of objects by using language such as “equal to”, “more than”, “less than”, “fewer”, “most” and “least”. Given a number, they also identify “one more” or “one less”.

Throughout this chapter, pupils read and write numbers to 10 in numerals and words. They ought to experience many different representations of numbers and should represent numbers using objects. For example, they may use cubes or Dienes to feel and see the size of a number and make comparisons. Additionally, they may use ten frames to represent numbers, as well as pictorial representations, such as the number line.

Although many pupils will already seem able to perform much of the above, this apparent fluency should not be mistaken for the required depth of conceptual understanding.

## Resources for this topic

### White Rose Maths

#### Reasoning - Problem Solving - Number Puzzles (KS1) and Shape Problems (KS2) - March 14th

Here are two problems for KS1 and two for KS2.

In KS1 children have to solve two number puzzles. The first one involves simple operations. The second problem involves fractions. Although the second problem seems quite simple it will tease out lots of misconceptions.

At KS2 children have to reason and problem solve with two shape problems. The first one involves working out the length of a square given the area and the second problem requires a little bar modelling, algebra or trialand error.

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. We had nearly 50 entries last week.

#### Addition and subtraction within 10

A year 1 resource for addition and subtraction.

### Mathematics Mastery

#### Numbers up to 10

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 10

• 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 10

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 10.

• 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 - Place Value - Week 1 - Sorting, Counting and Representing Objects

This is pack 1 of 4 on Year 1 place value and covers the small steps Sort Objects, Count Objects and Represent Objects.  The resources aim to help children gain a deeper understanding of the concepts covered in the first week.  Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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 - Place Value - Week 2 - Counting Forwards, Backward and Counting One More

This is pack 2 of 4 on Year 1 place value and covers the small steps Count, Read and Write Forwards from any Number 0 to 10, Count, Read and Write Backwards from any Number 0 to 10 and Count One More.  The resources aim to help children gain a deeper understanding of the concepts covered in the first week.  Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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 - Place Value - Week 3 - Count One Less, Compare Groups and Introduce and =

This is pack 3 of 4 on Year 1 place value and covers the small steps Count One Less, One to One Correspondence, Compare Groups and Introduce =, < and >.  The resources aim to help children gain a deeper understanding of the concepts covered in the first week.  Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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 - Place Value - Week 4 - Compare Numbers, Order Objects and Numbers and Number Line

This is pack 4 of 4 on Year 1 place value and covers the small steps Compare Numbers, Order Objects, Order Numbers, Ordinal Numbers and The Number Line.  The resources aim to help children gain a deeper understanding of the concepts covered in the first week.  Numbers are represented in a variety of ways and lend themselves well for use alongside concrete manipulatives such as place value counters and Base 10.

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 - Place Value - Weeks 1-4

Four weeks worth of resources on place value.

This bundle contains all four packs on Year 1 Place Value and covers all small steps within this topic.  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

#### Number Concept Posters

Numbers 1 to 10 filled with images and words that support the concept of that number. Helping children to understand what a number is, means and represents. Includes tallies, words and shapes.

#### EARLY COUNTING ACTIVITIES

I prepared this as an aid to young and inexperienced TA's so that they have ideas how to address, deliver and extend counting for children working at extremely low maths ages.

#### Let's Count! 1-5

Interactive counting screens to count amounts between 1 and 5. Choose from buttons, stars, bears, jewels or balloons and count the number of objects that appear one-by-one on the screen. Then click each object to see the digits as you count.