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Learning Math Home
Number and Operation Session 8: Rational Numbers and Proportional Reasoning
 
Session 8 Part A Part B Part C Homework
 
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A B C 
Homework

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Solutions for Session 8, Part C

See solutions for Problems: C1 | C2 | C3 | C4 | C5


Problem C1

Answers will vary. Here are some possibilities:

a. 

Joan has $100. Maria has $25 more than Joan does. This situation uses the word "more" in an absolute sense.

Kids who eat sugar have 25% more cavities than kids who don't. This situation uses the word "more" in a relative sense.


b. 

Addition: Nina had six plants in her garden before she planted three more. How many does she have now?

Subtraction: Jen has 100 stickers, 20 more than Mike. How many does Mike have?

Multiplication: Millie has done three times more homework problems than Suzy, who has done five. How many problems did Millie finish?

Division: Millie has done 15 homework problems, three times more than Suzy. How many has Suzy done?

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Problem C2

Each of the rectangles has one dimension that is 39 feet longer than the other. However, 39 feet is relatively large for the 75' by 114' rectangle and relatively small for the 455' by 494' rectangle. This means that in the 455' by 494' rectangle, the difference in dimension will be least important; therefore, this rectangle is the most square in a relative sense.

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Problem C3

Using absolute reasoning, there are more brown eggs in the first carton (seven) than in the second (five). However, using relative reasoning, there are more brown eggs in the second carton (5/12) than in the first (7/18). So, depending on which way we look at it, either carton could have "more" brown eggs.

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Problem C4

Though the second ski ramp is taller (an absolute comparison), it may or may not be steeper (a relative comparison). You would need to know the lengths of A and B and then look at the fractions 7/A and 10/B. The greater fraction corresponds to the steeper ski ramp.

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Problem C5

Probably the two most important things you need to know are the capacity (or size) of the elevator and the number of people in it. An elevator with four passengers may be very crowded or relatively empty, depending on how many people it is intended to carry comfortably. A relative comparison is required.

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