4/11Ratios/Ratio tables Quick Review

Multiple Choice

A comparison of two quantities by division

• Multiplicative Inverse

• Fraction

• Multiplicative Inverse

• Proportion

• Ratio

A rate compares two quantities with DIFFERENT units.

Driving 120 miles in 2 hours

The units are miles & hours

Multiple Choice

Which is a rate?

• $$\frac{2\ \ feet}{6\ \ feet}$$ "2 feet to 6 feet"

• $$\frac{4\ cups}{8\ cups}$$ "4 cups to 8 cups"

• $$\frac{10\ words}{30\ \sec onds}$$ "10 words in 30 seconds"

A unit rate is a rate that is simplified so that it has a denominator (2nd #) of 1 unit.

Driving 60 miles in 1 hour or 60 miles/1 hour

/ = "per"

Multiple Choice

Which is a UNIT rate?

• 100 miles / 3 hours

• 35 miles / 1 hour

• 70 miles / 2 hours

Ratio Tables

a way to show

EQUIVALENT
RATIOS

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Let's Prepare

Follow the instructions provided, but notice you can't begin to fill out the table until you see the next slide!!!

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Multiple Choice

Ratio Tables are Equivalent Ratios?

• True

• False

Ratio Tables

We use ratio tables as a way to display the information of several ratios in an easy to read way. We can use the tables to plug in only the key numbers that we need and get rid of some of the extra stuff.

Ratio Tables

We use ratio tables as a way to display the information of several ratios in an easy to read way. We can use the tables to plug in only the key numbers that we need and get rid of some of the extra stuff.

How do we find the missing values in the tables?

We need to look for some sort of pattern in the table in order to determine the missing spots. Using the example to the right I can determine that all the numbers in the left column are multiples of 7, and all the numbers in the right are multiples of 5.

Finding a pattern:

So if we know that 7 x 2 = 14, that means we need can find the first blank by multiplying by the 5 x 2 to get 10.

Same with the second blank. We know 7 x 9 = 63, so we would do 5 x 9 to get 45.

Multiple Choice

What would be a pattern I could use here?

• Multiply the numbers in the left column by 5

• Multiply the numbers in the left column by 6

• Divide the numbers in the left column by 5

Multiple Choice

What is A?

• 84

• 7

• 28

• 82

Another way to find missing numbers:

Another way I have found we can find missing numbers is finding a constant rate of change. For example, I have the first two numbers of each column given to me. I can see that if I take the number from column A and multiply it by 8, it gives me the answer for column B.

Multiple Choice

What is C?

• 80

• 24

• 96

• 92

Multiple Choice

Complete the ratio table.

• 3

• 4

• 5

• 1