Interpreting Rates
Warmup
Activity #1
Exploring Rates.
- Read the problem. Keep in mind that the smaller number will always be a factor of the larger number. However, decimals are also accepted. The calculator at the bottom of the screen cannot be used for calculations at this time. It can alternatively be used to enter your values into the boxes.
- Enter 3 different equivalent ratios making sure that you follow the appropriate units.
- After you enter your last value, the
sign appears. - Click on the circle and move the point to any one of your ratios.
- Click on
to keep practice some more.
Activity #2
Calculating Unit Rates
- For each situation below, find the unit rates.
(4.) For each problem below, decide which unit rate from the previous situations you prefer to use. Next, solve the problem, and show your thinking.
(a.) If Lin wants to make extra cheesecake filling, how much cream cheese will she need to mix with 35 ounces of sugar?
(b.) How many weeks will it take Mai’s family to finish 3 gallons of milk?
(c.) How much would all 1,000 raffle tickets cost?
Activity #3
Application of Rates in Solving Problems
- Read the statements below and answer the questions that follow.
Priya, Han, Lin, and Diego are all on a camping trip with their families. The first morning, Priya and Han make oatmeal for the group. The instructions for a large batch say, “Bring 15 cups of water to a boil, and then add 6 cups of oats.”
(a.) Priya says, “The ratio of the cups of oats to the cups of water is 6 : 15. That’s 0.4 cups of oats per cup of water.”
(b.) Han says, “The ratio of the cups of water to the cups of oats is 15 : 6. That’s 2.5 cups of water per cup of oats.”
Who is correct? Explain your reasoning. If you get stuck, consider using the table below.
Quiz Time