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Learning about Using the Tool Bars in Kidspiration 2

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Lemelson Center for the Study of Invention and Innovation

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Number Line
Additon and Subtraction

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Math Games: Fruit Splat Number Line Addition

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Learn how to add the fun way with Fruit Splat Number Line Addition arcade math game.

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ratio arithmetic james sousa simplify ratios

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This video defines a ratio and provides sever

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Extra practice

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Percent and fractions: Ratio and proportion

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The ratio or proportion between two numbers is how many times one is bigger than the other.

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Learning and Teaching Ratio and Proportion:

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A ratio compares values.

A ratio says how much of one thing there is compared to another thing.

There are 3 blue squares to 1 yellow square

Ratios can be shown in different ways:

A ratio can be scaled up:

3 blue squares to 1 yellow square,
Here the ratio is also
even though there are more squares.

Using Ratios

The trick with ratios is to always multiply or divide the numbers by the same value.

Example:

Recipes

Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk.

So the ratio of flour to milk is 3 : 2

To make pancakes for a LOT of people we might need 4 times the quantity, so we multiply the numbers by 4:

In other words, 12 cups of flour and 8 cups of milk.

The ratio is still the same, so the pancakes should be just as yummy.

"Part-to-Part" and "Part-to-Whole" Ratios

The examples so far have been "part-to-part" (comparing one part to another part).

But a ratio can also show a part compared to the whole lot.

Example: There are 5 pups, 2 are boys, and 3 are girls

Part-to-Part:

Part-to-Whole:

Try It Yourself

Scaling

We can use ratios to scale drawings up or down (by multiplying or dividing).

Example: To draw a horse at 1/10th normal size, multiply all sizes by 1/10th

This horse in real life is 1500 mm high and 2000 mm long, so the ratio of its height to length is

1500 : 2000
What is that ratio when we draw it at 1/10th normal size?
We can make any reduction/enlargement we want that way.

Big Foot?

Allie measured her foot and it was 21cm long, and then she measured her Mother's foot, and it was 24cm long.

"I must have big feet, my foot is nearly as long as my Mom's!"
But then she thought to measure heights, and found she is 133cm tall, and her Mom is 152cm tall.

In a table this is:

The "foot-to-height" ratio in fraction style is:

So the ratio for Allie is 21 : 133

By dividing both values by 7 we get 21/7 : 133/7 = 3 : 19

It is still the same ratio, right? Because we divided both numbers by the same amount.

And the ratio for Mom is 24 : 152

By dividing both values by 8 we get 24/8 : 152/8 = 3 : 19

This time we divided by 8, but that ratio stays the same, too.

The simplified "foot-to-height" ratios are now:

"Oh!" she said, "the Ratios are the same".
"So my foot is only as big as it should be for my height, and is not really too big."
Practice

You can practice your ratio skills by Making Some Chocolate Crispies

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A ratio says how much of one thing there is compared to another thing. There are 3 blue squares to 1 yellow square Ratios can be shown in different ways: A ratio can be scaled up: 3 blue squares to 1 yellow square, Here the ratio is also even though there are more squares.