Part-Part-Whole Ratios

———————————————————————————————————————————————————

Part-Part-Whole Ratios.

Enter a ratio in the applet below to start. The first number should be entered in the upper left box, and the second in the lower left box. Press the Enter key on your keyboard, then click the “Next” button. The tape diagram is displayed (see the upper right corner). The default is “tape diagram 1.” You can also change the view to tape diagram 2 at the top right corner, or draw your own tape diagram. Click the “text” box to see the description. Then, click “New ratio” at the bottom left corner. You can choose or and continue.

———————————————————————————————————————————————————

Find a Quantity when Part of the Ratio is given.

  • Click on the “Question” box if you wish to use a provided question. ​
  • Adjust the first slider to the sum of the ratio. ​
  • Adjust the second slider (Number of red parts) to the appropriate number of red parts in the question. ​
  • In the box, type the amount of red balls given.  ​
  • Check the “Part value” box to show what each part is worth. ​
  • Click on “Total” box to show the value of the whole. ​
  • Click on “Ratio value 2” box. ​
  • Check the solution if you used the provided question by clicking on “Solution” box. ​
  • Click on the “Reset” button to start again and get a new question.

———————————————————————————————————————————————————

Representing Ratios Using Snap Cubes.

A recipe for maroon paint says, “Mix 5 ml of red paint with 3 ml of blue paint.” Imagine you use snap cubes to represent the amounts of red and blue paint in the recipe. Draw a sketch of this snap-cube representation of the maroon paint.

(1). What amount does each cube represent?

(2). How many milliliters of maroon paint will there be?

(3). Suppose each cube represents 2 ml. How much of each color paint is there?

Red: ______ml Blue: ______ml Maroon:______ml

(4). Suppose each cube represents 5 ml. How much of each color paint is there?

Red: ______ml Blue: ______ml Maroon:______ml

(5). Suppose you need 80 ml of maroon paint. How much red and blue paint would you mix?

Red: ______ml Blue: ______ml Maroon: 80ml

(6). If the original recipe is for one batch of maroon paint, how many batches are in 80 ml of maroon paint?

———————————————————————————————————————————————————

A grocery store sells bags of oranges in two different sizes.

  • The 3-pound bags of oranges cost $4.
  • The 8-pound bags of oranges for $9.

Which oranges cost less per pound? Explain your reasoning.

———————————————————————————————————————————————————

Noah entered a 100-mile bike race. He knows he can ride 32 miles in 160 minutes. At this rate, how long will it take him to finish the race? Use each table to find the answer.

Explain which table you think works better in finding the answer.

———————————————————————————————————————————————————

A grocery store sells bags of oranges in two different sizes.

  • The 3-pound bags of oranges cost $4.
  • The 8-pound bags of oranges for $9.

Which oranges cost less per pound? Explain your reasoning.