This content was created by Rob Langman. This content was uploaded by Rob Langman. This is a YouTube video titled "Using Bar Models For Comparison Problems" (created 2024-04-02) presenting an English instructional math lesson on additive and multiplicative comparison problems using bar models. The excerpt features presenters Zoe plus two unnamed co-presenters (labelled SPEAKER B and SPEAKER C) who explain examples—money comparison (£12 and £8) and sticker problems (Tom and Holly)—and demonstrate solving by addition/subtraction and multiplication/division using bar-model boxes to partition totals.
Questions this video answers
£20
36 stickers
15 stickers
45 stickers
Chapters
Hi, I'm Zoe, and in this video.
We'Re going to look at how we can solve comparison problems using a bar model.
In this video, we're only going to.
Look at basic comparison problems. More complex comparison problems will be dealt with in the next few videos. There are two types of comparison problems that we're going to have a look at now. A comparison problem is where we compare one or more quantities to each other. We're going to look at additive comparison problems and multiplicative comparison problems. Additive problems, as it suggests, are addition and subtraction. Multiplicative, are generally around multiplication and division. The more complex bar model problems will have a mix of the two. Our first additive comparison problem, Mark has.
£12, Sally has £8 more. How much money does Sally have? Okay, we're starting with a bar. We're going to use that to represent mark. Mark has £12, Sally has £12 and £8 more. So we've got a bar the same size as Mark's, and then we're going to have 8 pounds more. We know that was 12 because it was the same. So Sally has 12 plus 8, which is 20 pounds.
This is one way of looking at an additive problem, an addition one. If we Simply remove these 12 pounds and instead of giving it as an.
Addition, we give a total, let's say altogether they had £20.
We now see we've got a subtraction additive comparison problem.
20 pounds. Take away the 8 pounds would give us 12 pounds, and as these two blocks are equal, we can half it, and that would give us six pounds each. Working out, Mark had six pounds, Sally.
Had six plus eight, which would be 14 pounds. So that's one of our more basic additive comparison problems that children will have to solve. Moving on now to our multiplicative problems.
Holly has three times as many stickers as Tom. Tom has 12 stickers. How many does Holly have? So starting with Tom, Tom has 12 stickers. And we know that Holly has the same number to start with, but she has three times as many. So she will have three boxes the same size. Filling in what we know, Holly has.
36 stickers now, keeping the boxes the same.
Another type of multiplicative problem that we will have is one where we know the relationship between Holly and Tom, but instead of knowing each individually, we know the total.
So Holly has three times as many stickers as Tom.
They have 60 stickers altogether. How many do they have each? So hopefully we can see they've got four boxes all the same now.
So we can do 60 divided by.
Four which gives us 15. So Tom has 15 stickers, Holly has 15, but she has three boxes of them, so she has 45 stickers altogether. Getting pupils to fill them in on.
The boxes is really powerful to see.
What they have and be able to check.
So there we have it. How we can use a bar model to solve our comparison problems.
