Let's see what you have learnt today about division and multiplication

This array can represent...(Tick 2)

12 divided by 4 = 3. Match this fact with one below

Tick the 2 related facts that these arrays represent

If you know that 3 x 2 = 6, you also know

Commutativity between multiplication and division

﻿Hello again, everyone. Ms. Brinkworth carrying on with this topic on multiplication. What we're going to be doing is looking specifically at our 6 times tables, and we're going to be making those connections again like we did in the last lesson. We're going to be using our known multiplication facts, ones that we're really confident with, and applying that to some harder, more complicated questions involving our 6 times tables. So just make sure you've got that pen or pencil and a piece of paper, so you can write down any ideas and your answers. And if you haven't done it already, have a go at that knowledge quiz, which will be a recap on the last lesson, which was about that relationships between the multiplication and division questions. Okay, hopefully you got on really well with that quiz, and that will set you up really nicely, get your brain thinking about multiplication for today's lesson. So have a go at this warm up, then. So this is a little recap from yesterday. What does this array show? It's more than one of these sums is correct, more than one of these sums is shown in this array. So some lines are going to appear that connect the correct ones up with the picture. So which do you think are being represented here? How did you get on, how many did you manage to find? Well, we've got 18 circles in total here, and so this picture could show that 18, our full amount, divided by 3, which are the columns, is 6. So we've got six in each row, sorry, each row is six, and there are three of them. So 18 divided by 3 is 6. So it also means that we're also showing that 18 divided by 6 is 3, because the columns there, there are six of them, and in each column there are three. So 18 divided by 6 is 3. Which other ones do you think it might show? 6 times by 3 is 18, and 3 times by 6 is 18. So just like yesterday, there were normally four facts that we can have from the same array, two multiplication and two division, and hopefully you can remember from yesterday as well that when we're on to a division fact, that larger number, the full amount, comes at the beginning of our division fact. So well done if you can remember that from the last lesson. Okay, let's revise then. We have talked about that commutativity of multiplication and division, and we now have to move some around, but that's not always the case, especially when we're talking about division. So just a slide from the last lesson just to show that you can't just put the numbers wherever you like, especially in a division question. You have to be careful to make sure that you're starting with that large number, 'cause then sharing it out, the number's getting smaller, so large number at the start, smaller number at the end. Okay, here's a our Star Words for today then. So I'm going to say them, and if you could repeat them at home, that would be wonderful. We have Multiplication, factor, commutative, times, Equal parts, Share, group, division. So really similar to yesterday, and we're really building on that multiplication knowledge today. Okay, so what do you notice here? Again, another slide from yesterday, and this brings us really nicely onto looking at today's learning. So hopefully you can see from this slide that we've got 4 times 3 is 12, and 4 times 6 is 24. Now this is our key learning for today, that we can use that known fact, hopefully you're all pretty confident with 4 times 3 is 12, and we can use that fact to help us with a new situation, where maybe we're looking at our 6 times tables. So if 4 times 3 is 12, if we've doubled 3 to get 6, then our answer will also be doubled. So we've doubled 3, and we've got 6, so our answer of 12 gets doubled to 24 in that second question. So this is what we're looking at today. Let's look at it in a bit more detail. So the reason we're able to do this is because of this relationship between 6 and 3, where 6 is double 3. 6 is twice as big as 3. And all these are the ways of writing it: 3 is half of 6, 6 is 2 times greater than 3. And then we have sums at the bottom as well, which is 2 times 3 is 6, and 6 divided by 2 is 3. So it's this relationship between 6 and 3 that 6 is twice as big as 3 means that we can use our 3 times tables, which we feel really confident with, and we can double our 3 times table to find our 6 times table. So let's have a look at what that looks like. Here we have our 3 times table going down the left of the page there, and I'm sure you're all quite confident with that 3 times table now, 3, 6, 9, 12, et cetera. And there we have our 6 times table. So each time it's just doubled. So 1 times 3 is 3, one times 6 is 6. So the answer is doubled along with the multiplication. Okay, so this is when we get to have these statements of if I know, then. If I know that 2 times 3 is 6, then I know that 2 times 6, well, I just need to double the amount of dots that I had. There's six, and I need to do another six, I need to double my six. 6 add 6, 6 times 2, it's 12. So if I know that 2 times 3 is 6, I can see that 2 times 6 is 12. Using your 3 times table to answer questions involving your 6 times table, because of that close relationship between 6 and 3, where 6 is double 3. Okay, your go, then. If 4 times 3 is 12, then what's 4 times 6? How quickly can you do it? Okay, the question is what is double 12, and double 12 is 24. The way I like to see that is I partition the 12 into 10 and 2. I've split 12 into my tens and my ones, I've got 10 and 2. I then double them separately. So 10 times 2 is 20, 2 times 2 is 4, add them together, I've got 24. So 12 times 2 is 24, 4 times 6 is 24 is your right answer for that. I'm sure some of you got that one really, really quickly, well done. Let's move on. If I know that 6 times 3 is 18, then I can use that fact to work out 6 times 6. 18 doubled would give me 6 times 6, which the answer is. 18 doubled again, I'm going to partition 18 into 10 and 8, 10 times 2 is 20, 8 times 2 is 16, 20 add 16 is 36. I can always do a little bit of column addition, just by add 20 and 16 and add them together to get 36. Well done if you could that one nice and quickly, year threes. Okay, here we go then moving on to a word problem. So exactly the same kind of maths involved, we just need to pick the key information out of the word problem. When we've talked about word problems before, I've mentioned that I really like to get that picture in my head. I like to think about a story that's going along with this word problem. In a factory, eggs are placed into boxes of 6. I like to picture someone putting 6 eggs in each box. There are 4 boxes. how many eggs in total? Well, I've got six in each box and four boxes in total. There are my four boxes, four boxes of six eggs. What's my question? 4 times 6, which I can use my 3 times tables if I wanted to, 3 times 3, sorry, 4 times 3 is 12, double that to get that answer 24. And I could say, with a word problem, I really like to get those pictures. I might even draw them out really quickly. I definitely see it in my head what's going on there. I've got boxes of six, and there are four of them, 4 times 6. Here we go then, another word problem, and it's your turn. I'm having a birthday party, and I don't want anyone to get thirsty, so I've gone out and bought lots of drinks. I bought six packs of drinks, and they've got six in each. How many have I bought in total? To help you, I've got six and six, there's your six. What's the answer for this one? So six lots of six, I've got lots of people coming to my party, so I've got lots of drinks. 6 times 6, I can do 6 times 3 and double it, 6 times 6 is 36, well done if you saw that one. Okay, time to pause the video and have a go at that independent task. Okay, how did you get on? Hopefully you were able to use your 3 times table to help you with those 6 times tables facts. Okay, so let's have a look, 8 times 6 is double 8 times 3, so we've got 48. 10 times 6 is 60, and 12 times 6 is 72. 5 times 6 then, well, I know that 5 times 3, 5 times 3 is 15, so if I double 15, I end up with 30. Again, I've got another word problem here, so really good to get that picture, and I've put a little picture on there to help you. Tim needs more space in his restaurant, so he's opening a new room upstairs. He has plenty of tables, but not enough chairs. He has 4 large tables big enough for 6 chairs each. How many chairs should he buy? So I'm going to get that picture in my head, what are these four big tables that they can fit six chairs around them each? Four big tables, and I like to picture his restaurant as well with these four big tables in. So he's got four tables, and he can fit six chairs around each of them. So four tables, 4 times 6, 24. Well done if you were able to see that. Okay, what about these statements then, are these always, sometimes, or never true? When you multiply any whole number by 6, it will always be an even number. So you should have just gone through your 6 times tables and thought, oh, there's all even numbers. Remember, the even numbers means that they're in the 2 times table. So is that true, that in the 6 times table, they are always even? It is always true. Well done if you could see that. What about the next ones, multiples of 6 are always multiples of 3? Well, that's our learning from today, and we know as well that that one is always true, well done. And you can prove it, I help you by writing out your 6 times tables, and you can see that they're all even, and you can see that those numbers also all appear in your 3 times table. Any number that you can pick from your 6 times table, I promise you it will also appear in your 3 times table. Okay, last one then, and we're back onto our eggs. Eggs come in boxes of 6, so it's a nice question for our 6 times table. Eggs come in boxes of 6. Mr. Black has twice as many as Mrs. White. Mrs. Green has 6 boxes. Mrs. White has 4 more eggs than Mr. Brown, and Mr. Brown has 18 eggs. How many does each person have? Well, with a question like this, it's best to start where you have a known fact. So, for example, Mr. Brown has 18 eggs. That's a good place to start. And then we can move on to looking at the other people. So if we know that he's got 18, we can then maybe look at the Mrs. White one, because she has got four more boxes than him, four more boxes. So we could work out what four boxes is, and add that to his 18. So well done if you could see this. Mrs. Green has got 36. Mr. Brown has 18. Mrs. White's has got 42, so that's 18 add 24, and Mr. Black has 84. Well done if you could work that one out. That was not an easy question. Okay, have a go at the final knowledge quiz. I promise they're not all that tricky. Well done, everybody, really, really good work today in looking at those connections between your multiplication facts. Have a great day, bye bye.

Let's see what you have learnt today about your 6 times tables

5 x 6 =

10 x 6 =

If I want 36 cans of drink, how many of these packs of 6 do I need to buy?

How many eggs would I have if I bought 12 packs of 6?

Use known multiplication facts to derive our 6 times table

In this lesson, we will develop our understanding of the relationships and links between different times tables and use what we already know in order to solve new problems involving our 6 times table.

Lesson overview:Use known multiplication facts to derive our 6 times table

Core Content

Securing multiplication and division: