If I know that 6 + 2 = 8, then I know

6 + 2 = 8 - Which equation shows 'one more'

6 + 2 = 8 - Which equation shows commutativity?

6 + 2 = 8 - Which equation shows the inverse

6 + 2 = 8 - Which equation shows changing the tens place value?

Deriving new facts from number bonds

﻿Hi there and welcome back to your unit on Number Sense. Today, we are going to be finding number bonds for numbers within 20. Really looking forward to this lesson, I hope you are too. So let's get started. So today, we are working through this agenda in front of you. First we're going to look at what's is the same and what's different . We're then going to be looking at representing number bonds in different ways. We're going to be looking at part wholes, looking for patterns and then we're going to move on to our independent task. So as always, you will need a pencil, a piece of paper and a ruler. Pause this lesson to make sure you have got everything that you need in front of you and that you're working in a quiet environment. So let's explore. What's the same and what's different? So, let's have a look. We're going to bring up three different statements and we want to think what's the same and what's different? Fabian and Tom had a total of six passengers in their punts or boats. If Fabian had two, how many did Tom have? Serena was punting with six passengers. Four of them decided to jump into the river Cam for a swim. How many passengers did she have left? Amit had four passengers in his punt. Then two more came aboard. How many passengers did Amit have in his punt? Pause your video and have a think. What's the same about these questions? And what's different? So the parts are two and four. All of the questions had mentioned the parts of two and four and the whole is six. So how might we represent this statement? Well, we can do it in several different ways. First off, we can have a part whole model. You can see that we have the whole, which is six, split into two parts of two and four. We also say may choose to present it as an equation. Two add four is equal to six. We may also choose to represent it as a bar model where you can clearly see the two parts labelled four and two and the whole is six. We also have parts of four and two. So now it's going to be your turn. You're going to draw your representations for the number 12 using the part whole language. For example, if I may decide to draw a part whole model with the number 12. I may decide to split it up into one 10th and two ones. So pause this video, and have a go yourself. Great job. Let's now have a look at some of the representations that you might have got. So we might have had nine add three is equal to 12. We may have had a bar model where two parts are eight and four and the whole is 12. You may have had a part whole model where each part is six. A six add six is equal to 12. So now we've looked at our part whole model language, we're going to start doing some exploring. So, having a look at the bar on the screen, you can see there are two parts. We have three and six and the whole is nine. So today we're going to be looking at how many different number bond pairs could we make for nine. Let's have a think. Hmm, number bond pairs. This is when I add two numbers together and they equal to nine. So the first one I've thought of is nine add zero is equal to nine. What could the next one be? Can you whisper it to your screen? Brilliant I thought so too. Eight add one is equal to nine. Now I bet you can't get the next one. Seven add two is equal to nine. You then have six add three is equal to nine. And five add four is equal to nine. Now, you might be saying well, the next one Miss Hill is going to be four add five, but we know that four add five, yes it's equal to nine, but it's commutative. So we're just repeating five add four is equal to nine. So we're not going to include that. So we know, for the number nine, there are five different number bond pairs. Let's run through them together. Nine add zero is equal to nine. Eight add one is equal to nine. Seven add two is equal to nine. Six add three is equal to nine. And five add four is equal to nine. Brilliant. Great job. And remember we're not going to repeat any of the number bond pairs. So here we have a lovely, beautiful, bright drawing. Now, I wonder what it could be. These are known as cuisenaire rods and they can use these to show number bonds. So as you can see, we've included nine add zero is equal to nine 'cause we can see that whole bottom bit hasn't been split up into parts, it's just the whole. Our next one is eight add one is equal to nine. We then have seven add two is equal to nine. Six add three is equal to nine. And finally, or five add four is equal to nine. For your independent task, you're going to be doing the same. You're going to be searching for number bond pairs for two numbers. Firstly, you're going to be looking for the number eight and then you're going to be looking for number bonds with, for the number 10. So, remember to pause this video, draw out the beautiful, colourful wall that's on this screen and write out your number bond pairs. Good luck, I can't wait to see what you come up with. Brilliant. Well done everybody. Let's go through the answers together for eight. So we have eight add zero is equal to eight. Seven add one is equal to eight. Six add two is equal to eight. Five add three is equal to eight. And four add four is equal to eight. Now do I need to go any further? Do I need to say four add four is equal to eight again? No, 'cause remember we do not need to commutatively change those equations round. 'cause we going to be then repeating ourselves. Let's have a look for the number 10. For 10, we have 10 add zero is 10. Nine add one is equal to 10. Eight add two is equal to 10. Seven and three is equal to 10. Six add four is equal to 10. And five add five is equal to 10. Now you may have noticed you would have got more answers of number bond pairs for 10 as it is a greater number. Therefore there will be more number bond pairs. But well done everybody, give yourselves a big pat on the back for doing such a great job. What a fantastic lesson everybody! If you'd like to share your work, please ask your parent or carer to share your work on Instagram, Facebook or Twitter tagging @OakNational and #LearnwithOak. Now, you know what time it is for? It's time for your quiz. Good luck and see you again soon. Bye.

There will be more number bonds for 7 than 8

There will be fewer number bonds for 5 than 7

Each number can be split into 1 whole and 2 parts

4 + 5 and 5 +4 count as the same number bond

Finding number bonds within 20

In this lesson, we will be using number bonds and looking for patterns for numbers within 20. We will look at partitioning and part whole modelling.

Maths

Y3 Maths

Key Stage 2

Year 3

Miss

Finding number bonds for numbers up to 20

Number sense and exploring calculation strategies

Number

THEME

UNIT

Exploring Number Sense

Deriving New Facts From Number Bonds (Part 1)

Number names

Recognising the value of each digit in a 2 digit number

Using comparative symbols to compare numbers

Deriving New Facts From Number Bonds (Part 2)

Applying number bonds within ten to add and subtract

Applying number bonds within twenty to add and subtract

Adding and subtracting using round and adjust

Using round and adjust strategies to subtract and add near doubles

Using an 'adding on' strategy to find the difference

Using bar models to solve word problems (Part 1)

Using bar models to solve word problems (Part 2)

Application Lesson

'One ten and three ones' is a representation of the number... (Select 1)

If I know that 2 + 9 = 11, then I know... (select 1)

111 is the same as 11 groups of ten and  one

45 < 46,  True or False?

If I know that 6 = 4 + 2 and 5 = 3 + 2, then I can use these facts and say that 65 - 42 = 23.

Using round and adjust and mental strategies, 42+ 46 =

If I have £1 to spend in a shop and I spend 68p- how much change will I receive?

Sharon had £20 to spend in the gift shop. She bought a tea towel for £8 and a mug for £7. How much change did he get?

Which is the greater number?

Lesson overview:Finding number bonds for numbers up to 20

Core Content

Number sense and exploring calculation strategies: