IM 6.2.15 Lesson: Part-Part-Whole Ratios

Select [b]all [/b]the equations that are true.

[math]486\cdot\frac{1}{12}=\frac{480}{12}+\frac{6}{12}[/math] [math]\frac{1}{5}\cdot20=\frac{1}{4}\cdot24[/math] [math]42\cdot\frac{1}{6}=\frac{1}{6}\cdot42[/math] [math]\frac{1}{5}\cdot45=\frac{45}{5}[/math]

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.

What amount does each cube represent?

How many milliliters of maroon paint will there be?

Suppose each cube represents 2 ml. How much of each color paint is there?[br][br]Red: ______ml Blue: ______ml Maroon:______ml

Suppose each cube represents 5 ml. How much of each color paint is there?[br][br]Red: ______ml Blue: ______ml Maroon:______ml

Suppose you need 80 ml of maroon paint. How much red and blue paint would you mix? [br][br]Red: ______ml Blue: ______ml Maroon: 80ml

If the original recipe is for one batch of maroon paint, how many batches are in 80 ml of maroon paint?[br]

Solve each of the following problems and show your thinking. If you get stuck, consider drawing a tape diagram to represent the situation.

The ratio of students wearing sneakers to those wearing boots is 5 to 6. If there are 33 students in the class, and all of them are wearing either sneakers or boots, how many of them are wearing sneakers? [br]

A recipe for chicken marinade says, “Mix 3 parts oil with 2 parts soy sauce and 1 part orange juice.” If you need 42 cups of marinade in all, how much of each ingredient should you use?[br]

Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. If one batch of fruit punch includes 30 cups of apple juice, how large is this batch of fruit punch? [br]

Elena makes fruit punch by mixing 4 parts cranberry juice to 3 parts apple juice to 2 parts grape juice. How much fruit punch can you make if you have 50 cups of cranberry juice, 40 cups of apple juice, and 30 cups of grape juice?

Invent another ratio problem that can be solved with a tape diagram and solve it. If you get stuck, consider looking back at the problems you solved in the earlier activity.

Create a visual display that includes the new problem that you wrote, without the solution, and enough work space for someone to show a solution.

Trade your display with another group, and solve each other’s problem. Include a tape diagram as part of your solution. Be prepared to share the solution with the class.[br][br]When the solution to the problem you invented is being shared by another group, check their answer for accuracy.[br]

IM 6.2.15 Lesson: Part-Part-Whole Ratios

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.

Solve each of the following problems and show your thinking. If you get stuck, consider drawing a tape diagram to represent the situation.

Create a visual display that includes the new problem that you wrote, without the solution, and enough work space for someone to show a solution.

Information: IM 6.2.15 Lesson: Part-Part-Whole Ratios