## Introduction to The Bar Model (Strip Diagram) – Math Problem Solving Method

So let’s talk about bar models. A bar model

is something you can use to solve a math problem. It helps you organize the information you

have, visually, so you can see what you have, and what’s missing, and maybe some things

you can try. You know, in math, we use models of all kinds. When you think of the word “model,”

you might be thinking of, like, someone who’s just ridiculously good looking for a living,

you know, like your teacher. But, you know, a model is also just a small version of something.

You know, like a model airplane, or a model of the solar system. A model is just something

we make that represents something else, and in math we do that all the time. So the essence

of the bar model method is using spatial equality, which you can see not coincidentally in an

equal sign. The top bar is the same as the bottom — they take up the same amount of

space — they have spatial equality. In a bar model, we’re going to use, you know, the

things that we know, the parts of things, to compare or calculate the total or the missing

amount in the other bar. You know, having that right in front of you, once you see exactly

what you have or don’t have, makes it pretty intuitive to figure out what you’re supposed

to do. If only everyone did that, you know, use what you know to solve problems. Don’t

just make stuff up like that one weird kid on the playground. You know, math, maybe more

than any other subject, requires us to be abstract thinkers at a very early age, whether

we’re ready for it or not. And, you know, some ways of dealing with that are to use

lots of hands-on manipulatives. And if you don’t have that, hey, grab a bar model. So

in this example, if we know that top bar represents a total of ten, then the bottom bar, which

is spatially equal, again, “spatial” is the space it takes up, then the bottom bar is

also equal to ten units and we can divide the bar into equal parts and label them from

one to ten. You can also represent that equality with other things, like tally marks. You can

put then dots in there. Or you can do it more abstractly with the numbers. Whatever best

suits your skill level. If you have the total value of a bar, which in this case is ten,

and then you have a part or a piece, in this case it’s three, then we’re going to use the

equality of the bars — they should both be equal — they should both be ten. We’re going

to use that to find the difference, or the missing part. And you can use whatever strategy

you’re best at. You can count up, you can subtract. The missing part here is seven.

Seven and three together make ten. And the bar model, what’s great about it, is it adapts

with your skill level. As your number sense grows and you know how to break apart and

put together numbers without drawing things, you’ll begin to instantly recognize the missing

parts. When you have a total of ten and you have five, then you know that other piece

has got to be five. Or if you have six, it’s going to be four.Or if you have seven, you’re

going to need three. Or if it’s eight, you’re going to need two. And if it’s nine, you’re

going to need one. The bar model strategy is also called “part part whole.” And in most

problems you’ll be looking for the whole, or total, or the largest or final amount,

and assigning that label and value, if you have it, to the top bar. And then below you

would put the parts that are going to make up that whole or total and largest and final

amount. If you have all the parts, like here you have twelve and six, then you are going

to put them together to find the whole. Twelve plus six is going to give you the total, which

is eighteen. There may be other problems where you know what the total, the final amount,

is. Let’s say you have one

hundred and twenty and then you know one of the parts is 80. We’re going to use what we have, we’re going to take away eighty from the total, one hundred twenty, to find the missing part. The difference is forty. And that eighty and forty together equal one hundred twenty, which is the whole. And then in some of the problems you’ll be dealing with equal groups, but it’s just as easy. and

then you know one of the parts is eighty.

Thank you so much for explaining this model! I'm aspiring to become an elementary teacher and have to learn this model. My math teacher didn't even explain this to us.

Wow man you helped me alot with my homework I thank you so much.

helped a lot!

sweet,thinks

Maths is a cultural subject. All methods are good depending on the cultural concept!

Thanks so much so helpful.

shrimp diagrams (lenny)

B

I had to watch this video for homework, and I got an A on it! 😀

Where can we get a copy of the problem solving map? Love it!

Hi.

I love mindmapping and the last bit with the map..BRILLIANT!

ฟังม่ายออก

This is even better than school! 🏫