arrays homework year 3

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Drawing an array to multiply

Students solve multiplication questions by drawing an array of boxes . In the first worksheet, all questions are "doubles" (2x2, 3x3, etc) so the arrays will be square. The other worksheets have general single digit multiplication questions.

Doubles only:

All, single digit:

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Maths Resources & Worksheets > Year 3 Maths Resources & Worksheets > Year 3 Autumn Maths - Multiplication and Division >

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Use Arrays Teaching PowerPoint

These lesson slides guide pupils through the prior learning of repeated addition, before moving on to the main skill of using arrays.

Use Arrays – Extension

This worksheet includes a range of Homework/ Extension questions for pupils to practise the main skill of Using Arrays.

Use Arrays – Varied Fluency

This worksheet includes a range of varied fluency questions for pupils to practise the main skill of Using Arrays.

Use Arrays – Reasoning and Problem Solving

This worksheet includes a range of reasoning and problem solving questions for pupils to practise the main skill of Using Arrays.

Use Arrays – Discussion Problem

This resource includes two discussion problems that can be used in pairs or small groups to further pupils' understanding of the concepts taught in Use Arrays .

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Arrays year3

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Year 3 arrays - counting in 2s, 5s, 10s, 3s and 4s multiplication beginners scaffolded

Subject: Mathematics

Age range: 5-7

Resource type: Worksheet/Activity

Last updated

25 November 2023

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Introducing our 9 worksheets designed to scaffold children on arrays and multiplication. These worksheets provide hands-on practice for children to develop a deep understanding of arrays and multiplication concepts.

The worksheets are designed to help children count in 2s, 5s, 10s, 3s, and 4s. Each worksheet includes clear and concise instructions, engaging illustrations, and plenty of opportunities for students to practice. The worksheets are also designed to provide immediate feedback to students, so they can quickly see what they’ve done right and where they may need to make improvements.

The worksheets are suitable for children in Reception to Year 3 and can be used in a variety of settings, including at home or in the classroom. The worksheets are also easy to use, so students can work independently or with a partner, allowing teachers to focus on individualized instruction with other students.

Our 9 worksheets provide a comprehensive approach to scaffolding children on arrays and multiplication, making learning fun and interactive. With these worksheets, children will develop the skills they need to become confident, capable mathematicians.

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Published 2012 Revised 2021

Arrays, Multiplication and Division

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What are arrays?

Arrays are a pictorial representation to help children understand times tables . For example, a child may be given the following word problem:

I have 3 bags. There are 5 pennies in each bag. How many pennies do I have altogether?

The teacher might then explain that rather than counting all the pennies individually, you could work out the answer by counting each line in 5s. The teacher could then point to each line and count 5, 10, 15 to show the children that there were 15 pennies in all.

Teachers in Key Stage 1 will teach children how to count in 2s, 5s and 10s and make sure they are very confident in this, before going on to show them how to work out times table problems like this one using arrays. 

This is because children need to be able to count up in steps of different numbers before they can use arrays to help them.

In Year 3, children are expected to learn their 3, 4 and 8 times tables. Teachers may still use arrays for children struggling with their times tables at this stage. Many children find a pictorial representation helps them enormously with working out a worded problem.

Arrays: how they help children understand multiplication and division

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More like this

Multiplication Maths Worksheets for Year 3 (age 7-8)

More practice with doubling numbers and using arrays to understand multiplication, but it is now down to the serious task of learning ‘tables', especially the 2x, 3x, 4x, 5x and 10x tables. Once these have been learned children can move on to mentally multiplying larger numbers by 4, 5 and 10.

Revise multiplication skills

Confidence building with tables learned in Year 2.

Match equal groups represented in different ways.

Visual help to describe multiplication.

A great way to show how multiplication works is by using arrays. 3 rows of 4 means 3 lots of 4. This means 4 x 3 or 3 x 4.

Progressively harder doubling and halving; from teens, to 2-digit multiples of 5 to 3-digit multiples of 10.

Doubling is coming up again. This time it's all multiples of 5. (Just remember that double 5 is 10.)

This is where we make real headway with learning the 2x, 5x and 10x tables. Make sure they are recited as a whole and not just saying the answers (which is just counting up).

A quick check to see how well these tables have been mastered.

Working with multiples of 10

Using knowledge of multiples of ten.

Today we are going to look at multiples of 10. We will represent tens with packets of crayons.

Today we are looking at how counting in threes can help us count in thirties.

Knowing your 2x, 5x and 10x tables can really help with other calculations.

Multiplying by ten is easy if you know what you are doing; each digit moves one place to the left. Avoid saying ?add a nought?.

More multiplying by 10 and 100. Probably one of our easier sets of pages.

Multiplying whole tens by 2, 3, 4, 5 and 10. Excellent for putting knowledge of tables into practice.

Learning the 3x table (eg 3 x 6)

Worksheets to help children learn the three times table 'off by heart', with the three coming first: eg 3 x 5 = 15 or 3 x 6 = 18

A first look at the 3x table and further activities.

More on the 3x table up to 10.

Learning the 3x table up to 3 x 12.

More activities on the 3x table up to 3 x 12.

Learning the x3 table (eg 6 x 3)

Worksheets to help children learn the three times table 'off by heart', with the three coming second: eg 2 x 3 = 6 or 6 x 3 = 18

Help with starting to learn the 3 times table.

Try 3 times table questions without the help of a number line.

Learning the three times table up to 12 x 3.

More 3 times table up to 12.

More 3x table practice

Further activities on the three times table, including bar modelling to help children learn the table ‘off by heart’.

Bar modelling with 3 as multiplicand.

3x table (bar modelling)

Fill in the missing numbers in these 3 times table sentences.

Draw lines from the shaded numbers to the numbers that are three times bigger.

Move round the star in a clockwise direction, putting the number that is 3 times bigger in the empty circles.

Find pairs of numbers in the three times table that make these answers.

More on the three times table up to 12

Consolidate knowledge of the 3x table with this calculator game.

Learning the 4x table: four first (eg 4 x 6)

Worksheets to help children learn the four times table 'off by heart', with the four coming first: eg 4 x 5 = 20 or 4 x 6 = 24

Introduction to the 4x table up to 10.

More on the 4x table up to 10 (fours first).

An introduction to the 4x table up to 12 (fours first).

More on the 4x table up to 12.

Learning the x4 table (eg 6 x 4)

Worksheets to help children learn the four times table 'off by heart', with the four coming second: eg 2 x 4 = 8 or 6 x 4 = 24

A first look at the four times table.

More on the 4x table up to 10 x 4.

A further look at the 4x table up to 4 x 12.

More on the 4x table up to 12 x 4.

More 4x table practice

Further activities on the four times table, including bar modelling to help children learn the table ‘off by heart’.

These resources can also be found in our Times Tables category.

It is important to learn the 4x table, but meanwhile it can be worked out by doubling.

A quick check on the 4 times table.

Bar modelling: 4 as multiplicand.

4x table (bar modelling)

4x table using bar modelling.

Put numbers into the boxes to make the number sentences correct.

More work on the 4x table up to 4 x 12.

Quick questions on the 4x table.

Learning the 8x table (eg 8 x 6)

Worksheets to help children learn the eight times table 'off by heart', with the eight coming first: eg 8 x 5 = 40 or 8 x 6 = 48

Learning the 8x table up to 8 x 10.

More on the 8x table up to 10.

Learning the 8x table up to 8 x 12.

Quick answers to the 8x table.

Learning the x8 table (eg 6 x 8)

Learning the 8x table: eight second (eg 6 x 8)

Worksheets to help children learn the eight times table 'off by heart', with the eight coming second: eg 2 x 8 = 16 or 6 x 8 = 48

Starting to learn the 8x table.

Learning the 8x table.

An introduction to the 8x table up to 12 x 8.

Complete the x8 table questions as quickly and accurately as possible.

More 8x table practice

Further activities on the eight times table, including bar modelling to help children learn the table ‘off by heart’.

Complete the stars as quickly as possible.

Bar modelling with 8 as multiplicand.

8x table (bar modelling)

Work out possible combinations of numbers to complete the 8x table.

A creepy crawly way to learn the 8x table!!

Mixed tables questions

Mixed questions on tables leaned in Year 3.

When multiplying 2-digit numbers in your head it is often best to start with the tens.

A further set of pages looking at 2x, 3x, 4x, 5x, 6x and 10x tables.

More practice with multiplying by 2, 3 5 and 10.

See how quickly you can answer these multiplication questions (up to 12)

The first set of tables to practise as fast as possible.

More tables squares to complete as fast as possible.

Our third set of tables squares. At this stage we are just looking at 2x, 3x, 4x, 5x, 6x and 10x tables, so not too bad!

Our final set of tables squares to complete. These should be easy by now!

Word problems for multiplication and introducing the term product, which means multiply.

A variety of written questions which need a good knowledge of 2x, 3x, 4x, 5x and 10x tables to answer quickly.

Written methods of multiplication

Develop written methods of multiplication, leading to the formal written method.

Today we will use the written method to multiply a 2-digit number by a 1-digit number.

A first look at the 'grid method' of written multiplication.

Multiply 2-digits by 1-digit using base 10 blocks.

Multiply 2-digits by 1-digit using a table

A look at written methods of multiplication, keeping to small numbers.

Using the standard written method of short multiplication with small numbers.

Written multiplication just using the 3x table.

Standard written method of short multiplication, just using the 4x table.

Using the standard written method of short multiplication, just with the 5x table.

Complete the written methods of calculating with the correct digits.

Complete the written methods of calculating with the correct digits. 2, 5 and 10x tables only.

Quite tricky missing digits problems in multiplication.

Multiplication calculating concepts for Year 3

A brief look at the new targets for multiplication and division in Year 3.

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