STUDY GUIDE

6th Grade Math CA 1: 6.RP.A.1/6.RP.A.2

NAME______PERIOD_____DATE______

Directions. Carefully read and follow the directions for each section.

Learning Target 1 (LT1): Use ratio reasoning to solve problems.

Learning Target 2 (LT2): Understand the concept of a unit rate.

SELECTED RESPONSE

Select the correct answer. Each problem is worth 10 points each.

  1. A man mixed 2 teaspoons of sugar into his large coffee but then added one more teaspoon of sugar because it was not sweet enough. What is the ratio of teaspoons of sugar to one large coffee?(LT 1)
  1. A 5-pound bag of cat food costs $22.50. What is the unit price of the cat food in dollars per pound?(LT 2)
  1. Bill drove 315 miles in 7 hours, Alisha drove 235 miles in 5 hours, and Joanne drove 414 miles in 9 hours. Which person drove at an average speed of 47 miles per hour?(LT 2)
  1. Alisha
  2. Joanne
  3. Bill
  4. Joanne and Bill

Select ALL correct answers. Each problem is worth 10 points each.

  1. A punch bowl contained 2 liters of ginger ale, 1 liter of orange juice, and 1 liter of raspberry juice. Select all the true statements. (LT 1)

a. The ratio of the ginger ale to the entire punch bowl is 1 to 4

b.The ratio of the orange juice to ginger ale is 2 to 1.

c.The ratio of the juices to the ginger ale is 2 to 2.

d.The ratio of the entire punch bowl to the juices is 2 to 4.

e. The ratio of the orange juice to the raspberry juice is 1 to 1.

  1. A restaurant worker was told to make every ham sandwich with 2 tomato slicesand 39 pickle slices. Select ALL true statements.(LT 1)
  1. A worker makes 3 ham sandwiches. Taken together, the sandwiches will have a ratio of total number of tomato slices to total number of pickle slices of 6:9.
  2. For every ham sandwich, the ratio of tomato slices to pickle slices is 3:2.
  3. A worker makes 5 sandwiches. The ratio to total number of tomato slices to total number of pickle slices is 7:8.
  4. On every ham sandwich, the ratio of tomato slices to pickle slices is 2:3.
  5. Once a ham sandwich is made, there will be a ratio of 2 tomato slices to 1 ham sandwich.

Constructed Response

  1. In Ken’s meatball recipe, for every 5 cups of bread crumbs, 9 pounds of ground beef are used. Write the ratio using a fraction. Label the numbers in the fraction.(LT 1) (5 pts for ratio/5 pts for labeling the 9numbers)
  1. I paid $80 for 10 books. (LT 2)

(a)Find the unit rate. (5 points)

(b)What does it mean? (5 points)

  1. If the unit rate of gasoline is $1.89, how much will 5 gallons of gasoline cost?

Show your work! (LT 2)(10 points)

  1. For every pizza Eric’s family ate, Eric ate 2 of the 8 pieces. If Eric’s family bought 2 pizzas, write the ratio of the total number of pieces Eric ate to the total number of pieces the family ate. (LT 1)(10 points)
  1. A particular school has a teacher to student ratio of 1 teacher to 11 students. (LT 1)
  1. Express the teacher to student ratio using the symbol “ : “. (2 points)
  1. Express the teacher to student ratio as a fraction. (2 points)
  1. Are there more teachers or students?

Show your work to justify your answer Write a complete sentence.(6 points)

* Turn in your scratch paper for credit!