Unit 2, Lesson 8

How Much for One?

Grade 6

Practice

1. Problem 1

   Student Task Statement

   In 2016, the cost of 2 ounces of pure gold was $2,640. Complete the double number line to show the cost for 1, 3, and 4 ounces of gold.

   

   A double number line with 6 evenly spaced tick marks. The top number line is labeled “cost in dollars;” the first tick mark is labeled 0, the third tick mark is labeled 2,640 and the sixth tick mark is labeled 6600. The bottom number line is labeled “ounces of gold” and starting with the first tick mark 0, 1, 2, 3, 4 and 5 are labeled.

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2. Problem 2

   Student Task Statement

   The double number line shows that 4 pounds of tomatoes cost $14. Draw tick marks and write labels to show the prices of 1, 2, and 3 pounds of tomatoes.

   

   A double number line with one tick mark at the beginning of the line and one at the end. The top number line is labeled “pounds of tomatoes” with the first tick mark labeled 0 and the last tick mark labeled 4. The bottom number line is labeled “cost in dollars” with the first tick mark labeled 0 and the last tick mark labeled 14.

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3. Problem 3

   Student Task Statement

   4 movie tickets cost $48. At this rate, what is the cost of:

   1. 5 movie tickets?
   2. 11 movie tickets?

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4. Problem 4

   Student Task Statement

   Priya bought these items at the grocery store. Find each unit price.

   1. 12 eggs for $3. How much is the cost per egg?
   2. 3 pounds of peanuts for $7.50. How much is the cost per pound?
   3. 4 rolls of toilet paper for $2. How much is the cost per roll?
   4. 10 apples for $3.50. How much is the cost per apple?

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5. Problem 5

   ForLesson 3: Recipes

   Student Task Statement

   Clare made a smoothie with 1 cup of yogurt, 3 tablespoons of peanut butter, 2 teaspoons of chocolate syrup, and 2 cups of crushed ice.

   1. Kiran tried to double this recipe. He used 2 cups of yogurt, 6 tablespoons of peanut butter, 5 teaspoons of chocolate syrup, and 4 cups of crushed ice. He didn’t think it tasted right. Describe how the flavor of Kiran's recipe compares to Clare's recipe.
   2. How should Kiran change the quantities that he used so that his smoothie tastes just like Clare's?

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6. Problem 6

   ForLesson 15: More Nets, More Surface Area

   Student Task Statement

   A drama club is building a wooden stage in the shape of a trapezoidal prism. The height of the stage is 2 feet. Some measurements of the stage are shown here.

   

   Trapezoidal prism has bottom base of 20 feet, top base of 10 feet, legs of 13 feet, and depth 2 feet.

   

   The trapezoid has top base 10 feet, legs 13 feet, and bottom base 20 feet. Two vertical dashed lines are drawn from the top two vertices to the bottom base of the trapezoid creating two right triangles and a rectangle. The rectangle has top and bottom base of 10 feet and vertical sides 12 feet. In the two triangles, horizontal legs 5 feet, vertical legs 12 feet, and hypotenuse 13 feet.

   What is the area of all the faces of the stage, excluding the bottom? Show your reasoning. If you get stuck, consider drawing a net of the prism.