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.
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.
(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 .
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?
Challenge #1
Priya collected 2,400 grams of pennies in a fundraiser. Each penny has a mass of 2.5 grams. How much money did Priya raise? If you get stuck, consider using the table.
Challenge #2
Kiran reads 5 pages in 20 minutes. He spends the same amount of time per page. How long will it take him to read 11 pages? If you get stuck, consider using the table.
Challenge #3
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese.