Topic B: Collections of equivalent ratios

A ratio table gives a bunch of equivalent ratios.

Let's look at an example where we'll build a ratio table.

Ben drinks $\blueD1$ glass of milk for every $\goldD2$ cookies that he eats:

[[☃ image 1]]

We can use this ratio to begin a ratio table:

Glasses of milk | Cookies :-: | :-: $\blueD1$ | $\goldD2$

If Ben drinks $\blueD2$ glasses of milk, then he eats $\goldD4$ cookies:

[[☃ image 2]]

Let's use this to continue the ratio table:

Glasses of milk | Cookies :-: | :-: $\blueD1$ | $\goldD2$ $\blueD2$ | $\goldD4$

Notice that both of the ratios in the ratio table are equivalent:

$\dfrac{\blueD1}{\goldD2} = \dfrac{\blueD2}{\goldD4}$

If Ben drinks $\blueD4$ glasses of milk, then he eats $\goldD8$ cookies:

[[☃ image 3]]

Let's use this to continue the ratio table:

Glasses of milk | Cookies :-: | :-: $\blueD1$ | $\goldD2$ $\blueD2$ | $\goldD4$ $\blueD4$ | $\goldD8$

Notice that all of the ratios in the ratio table are equivalent:

$\dfrac{\blueD1}{\goldD2} = \dfrac{\blueD2}{\goldD4} = \dfrac{\blueD4}{\goldD8}$

##Let's practice!

###Problem set 1:

[[☃ graded-group-set 1]]