Doughnuts are delivered to the bakery in packs of 6. There are 17 packs sent. How many doughnuts will the bakery receive?

The helicopter carries six passengers in one trip. The helicopter carries 4704 passengers in a week. How many trips were taken?

An ice hockey player is paid £315. His team mate is paid £1672. How much more money do they receive?

Ben had 1827 Pokemon cards. He needed to share the cards between 3 classes. How many Pokemon cards did each class get?

Problem solving

﻿Hello and welcome to the lesson. My name is Miss Thomas. I'll be going through the lesson with you today. We have got a lesson on consolidating division strategies. So hope you're looking forward to it. That'd be feeling fired up and ready for some exciting maths. I've had a lovely day so far. The sun is shining in. So after I've taught this lesson, I'm going to go for a lovely walk in the sunshine. So hope you've got something great plans for after your math lesson, too. Well, let's begin with our learning. In today's division consolidation lesson, first, we'll be solving division reasoning questions. Then we'll be exploring part-whole models. After that we'll be finding three-digit multiples of one-digit numbers. And finally, we'll finish with the end of lesson quiz where you can test yourself on the lessons learning. The equipment you will need is a pencil, paper and a ruler. Pause the video, if you need to gather your equipment. Let's begin. Here, we have Yasmin. Yasmin has 96 sweets. She shares them equally into groups. She has no sweets left over. How many groups could Eva have shared her sweets into? Pause the video and decide them. There will be more than one. Welcome back. Hopefully you use your known multiplication facts to solve this problem. Let's take a look at the answers. So Yasmin could have eight groups of 12, because we know that eight multiplied by 12 is equal to 96. She could have had 16 groups of six sweets, because six multiplied by 16 is equal to 96. She could have had 32 groups of three sweets, because three multiplied by 32 is equal to 96. She could have had 24 groups of four, because 24 multiplied by four is equal to 96. Or finally, she could have had 48 groups of two, because two multiplied by 48 is equal to 96. Go through and check yours and correct any mistakes, if you have any. Well done for solving Yasmin's problem. She'll be very thankful to have all those groups of sweets, I think. Next, we have Binh. Our first star word is my turn, regroup. Your turn. Great! Binh is calculating 72 divided by three. Before she starts the calculation, she says the calculation will involve a regroup. So here, Binh is almost she's predicting before she begins. Do you agree? Explain why. Now, it's time for you to predict. Do you agree with Binh? Explain why. Pause the video and explain to your screen. Welcome back. You might've found that she will need to regroup, because seven is not a multiple of three. So 70 is not a multiple of three, because 70 is 10 times greater than seven. Binh says, the calculation will involve a regroup. And we found that it will. She is correct. Let's take a look our new star words. My turn, multiple. Your turn. A multiple is a number that is equally divisible by another number. So can you call out some multiples of three? Call some out. Brilliant. You might have said some of your three times table. We know that the three times table was equally divisible by three. You could have said three, six, nine, 12, 15, and many, many more. Let's take a look at our next star word. My turn, remainder. Your turn. Remainder is a value that cannot be divided equally. So let's take a look at Xavier's problem. Xavier writes, 98 divided by three is equal to 32 remainder two. He says, 98 must be two away from a multiple of three. Do you agree? Pause the video and explain. You might need to do some workings for this. Welcome back. You might've found that remainder two means that two cannot be shared equally by three. 98 take away two is equal to 96. 96 divided by three is equal to 32. 96 is a multiple of three, because it can be divided equally by three and 98 is two away from 96. So we do agree with Xavier, 98 is two away from being a multiple of three. We've reached our Let's explore task. We're calculating 336 divided by six. You need to complete each part-whole model. Pause the video to complete your Let's explore task. Welcome back. Great work. Here, we have the answers. But next, let's have a look. The question says, what do you notice? Pause the video and explain. You might notice a few things. Welcome back. Excellent explaining out loud to your screen. You might have noticed that you can use your known multiplication facts to complete the part-whole model. You might have noticed that parts can be sold separately and the answer will still be 56. 336 divided by six is equal to 56. You may have thought about different ways you could have solved the equation mentally without a written method. So now it's your turn. How many part-whole models can you make to calculate 132 divided by four? Pause the video and have a go. You might find a few different part-whole models you can make. So let's take a look at what I found. You may have done it differently to me, but I'm going to show you some examples. And if you did it differently, that's great, too. So here, we've got 132 and I've partitioned it into 100 and 32, and I've divided both parts by four. And my next part-whole model, I've partitioned 132 into 20, 80 and 32 and divided each part by four. And in my final part-whole model, I've partitioned 132 into 60, 40 and 32, and again, divided each part by four. When I added all of my answers, I reached 33. My quotient is 33. 132 divided by four is equal to 33. Now you're ready for your independent task. Using a division strategy of your choice, create the following. So you're going to create a three-digit number that's divisible by two. A three-digit number divisible by three. And a three-digit number divisible by four. A three-digit number divisible by five. And finally, can you find a three-digit number divisible by six, seven, eight, or nine? You might like to use some mental division strategies or even the written method to help you solve this problem. Pause the video to complete your independent task. Well done for your hard work in the independent task. There are many different answers you could have found for each one. Use the inverse, multiplication to check your workings. You should complete the sentence stem to check your answers. Now the time has come to complete your end of lesson quiz. Well done for all of your hard work. If you'd like to please ask your parents or carer to share your work on Instagram, Facebook, or Twitter tagging @OakNational and #LearnwithOak. And we've reached the end of the lesson. You've worked so hard today. There were so many different division tasks during the lesson. I think you should have two snaps for all of that. You can do your two snaps too, if you like. Well, I'm going to go for my walk in the sunshine now. I hope you got a lovely rest of your day planned and I will see you next time. Bye for me.

What equation is represented here?

What equations is represented here?

What is the missing symbol?

Tiff has 5 siblings. She buys a packet of sweets with 20 sweets inside. She shares them equally between her siblings. How many sweets do they get each?

2742  ÷ 6

Consolidating division strategies

In this lesson, we will consolidate division strategies by solving a variety of division reasoning questions.

Maths

Y4 Maths

Key Stage 2

Year 4

Miss

Multiplication and division

Number

THEME

UNIT

Multiplication and Division

Representing word problems using bar models

Representing 2-Step Word Problems

Deriving Multiplication Facts

Deriving Division and Multiplication Facts

To calculate multiplication facts using the distributive law

Solving 2-digit multiplication calculations using the distributive law

Solving three 1 digit multiplication equations

Multiplying 3-digit numbers by 1-digit numbers

Exploring multiplication strategies

Consolidating multiplication strategies

Dividing mentally

Dividing using knowledge of multiples

Short division (Part 1)

Short division (Part 2)

Short division (Part 3)

Problem solving: Choosing operations

Problem solving: Using all four operations

6800 ÷  100

The Maid of the Mist boat carries six passengers in one trip. The boat does 713 trips in a day. How many passengers does it carry in one day?

An ice hockey player is paid £315. If they win,they are paid seven times as much. How much is the player paid when they win?

Solve the equation 7 x 2 x 5

What is the product of this array?

Solve the equation. 134 X 6

225 ÷ 5

Select the bar model that does not represent a division or multiplication problem.

Lesson overview:Consolidating division strategies

Core Content

Multiplication and division: