**Warmup**

**Activity #1**

**Navigate a Table of Equivalent Ratios.**

Always keep in mind that in order to create equivalent ratios, you have to multiply or divide both sides of the ratio by the same number. To obtain that in a table of values, one pair is necessary and sufficient.

- Complete the table below. Enter as many pairs as you can.

**Activity #2**

**More about Tables of Equivalent Ratios.**

Every **8** kilometers is **5** miles. So the ratio of kilometers to miles is 8:5. We are going to use the applet below to find other equivalent ratios.

- Change the names in the boxes below as follows;
**Label 1**to**Kilometers**, and**Label 2**to**Miles**. - In the first ratio box, enter 8. In the second ratio box, enter 5.
- Check the kilometers box to see whole number values for kilometers.
- Check the miles box to see corresponding whole number values in miles.
- To organize this data in table form, click “
**Table**” at the top right corner. The data is displayed in table form. - To organize the data ready for transferring to a graph, click “
**table**” and “**2nd table**” at the top right corner. - Now to obtain intermediate ratio values(
*values that are not whole numbers*), click the remaining check box at the lower right corner. A blue vertical line which can be moved appears marking corresponding values. - Move the blue scale slowly to see equivalent non-whole number ratios.
- To assist you in locating the precise points, click .
- Click the reset button to try using other ratios.

- Use the double number line above to find equivalent ratios for the following;

(1.) Every pint is 2 cups

(2.) Every Pound is 16 Ounces.

(3.) Every Gallon is 4 Quarts.

(4.) Every Quarter is 5 Nickels

**Activity #3**

**Plot Equivalent Ratios on a Double Number Line**

In 2016, 128 gigabytes (GB) of portable computer memory cost $32. Here below is a double number line that represents the situation:

One set of tick marks has already been drawn to show the result of multiplying 128 and 32 each by .

- Label the amount of memory and the cost for these tick marks.
- Next, keep multiplying by and drawing and labeling new tick marks, until you can no longer clearly label each new tick mark with a number.

Here is a table that represents the situation. Find the cost of 1 gigabyte. You can use as many rows as you need.

Did you prefer the double number line or the table for solving this problem? Why?

**Quiz Time**

https://www.ixl.com/math/grade-6/ratios-and-rates-complete-a-table-and-make-a-graph

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