Multiplication and Division

Objectives

To recognise multiples of 2, 5 and 10 and to describe patterns.

Resources

Abacus Workbook 3 | 📄 Statements | 📄 Patterns | Interactive number grid (Mathsframe)

Vocabulary

multiplication | multiple | pattern

Today's Lesson

What to Get Ready

Print the 📄 Statements (cut out the statements on the first page only).

Introduction

Before you start the lesson, watch this Recap Video with your student.

Access the Interactive number grid and click on multiples of 5.

EXPLORE - Interactive number grid (Mathsframe)

Explain: ‘These are the numbers we say when we count on in 5s from 5 to 100. What do you notice about the multiples of 5? That’s right they always end in 5 or 0.’

Write the following numbers on paper: 24, 85, 60, 125, 346, 910, 2870, 5475, 36,780 and 48,482, reading the really big numbers.

Ask: ‘Which of these are multiples of 5? How do you know?’

Ask your student to think of a really big number and write it down for them. Then say, ‘Wow, even with this big number we can still tell whether it’s a multiple of 5 or not!’

Now ask: ‘Which of these are multiples of 10? How can you tell?’

Reset the grid. Click on 7, 12, 17 then 22 and ask, ‘Can you guess what number I’m going to click on next? What’s my pattern?’

Your student should then write the next 3 numbers down.

Click on 27, 32, 37… 97 and ask: ‘Were you right?’

Reset and click on 8, 13, 18 and 23.

Again, ask, ‘Can you guess my pattern? If I can carry on will I get to 57? 82? Why not? What about 43? What do you notice about the numbers in my pattern?’

Main Activity

Ask your student to complete the 📄 Patterns sheet.

Ask them to describe the pattern to you as they work.

Afterwards, ask them to make up their own counting on in 2s or 5s pattern and then to work with you to try to continue it.

Extra Challenge

Ask your student to read the 📄 Statements out loud:

Look at the grid of ‘Always true’, ‘Sometimes true’ and ‘Never true’. Tell them that their job is to sort the statements into the thre

e headings.

Discuss the first statement. Do multiples of 5 always end in 5? Can you think of one that doesn’t? So this goes under the heading ‘Sometimes true’.

Ask your student to work with you and to come up with 3 examples to back up their decision for each.

For example:

Multiples of 5 are 2-digit numbers = Sometimes true: 5, 30, 120.

Workbook

To help your student recap upon previous learning from this course, please ask them to complete the activities on page 27 of Abacus Workbook 3.

Citations

[1] mathsframe.co.uk