Module 1 lesson 18

Module 1 Lesson 18 Finding a Rate by Dividing Two Quantities.notebook

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October 17, 2014

Lesson 16 Problem Set

The Scott family is trying to save as much money as possible. One way to cut back on the money they spend is by finding deals while grocery shopping; however, the Scott family needs help determining which stores have the better deals.

1. At Grocery Mart, strawberries cost $2.99 for 2lbs., and at Baldwin Hills Market strawberries are $3.99 for 3 lbs.

a. What is the unit price of strawberries at each grocery store? If necessary, round to the nearest penny.

Grocery Mart: $1.50 per pound (rounded to nearest penny)

Baldwin Hills Market: $1.33 per pound

b. If the Scott family wanted to save money, where should they go to buy strawberries? Why? The Scott family should got to Baldwin Hills Market because the strawberries cost $0.27 less than at Grocery Mart.


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2. Potatoes are on sale at both Grocery Mart and Baldwin Hills Market. At Grocery Mart, a 5lb bag of potatoes cost $2.85 and at Baldwin Hills Market a 7 lbs bag of potatoes costs $4.20. Which store offers the best deal on potatoes? How do you know? How much better is the deal?

Grocery Mart: $0.57 per pound

Baldwin Hills Market: $0.60 per pound

Grocery Mart offers the best deal on potatoes because potatoes cost $0.03 less per pound at Grocery Mart when compared to Baldwin Hills Market.


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October 17, 2014

Problem Set Lesson 17

1. Once a commercial plane reaches the desired altitude, the pilot often travels at a cruising speed. On average, the cruising speed is 570 miles/hour. If a plane travels at a cruising speed for 7 hours, how far does the plane travel while cruising at this speed?

3,990 miles

2. Denver, Colorado often experiences snowstorms resulting in multiple inches of accumulated snow. During the last snow storm, the snow accumulated at inch/hour. If the snow continues at this rate for 10 hours, how much snow will accumulate?

8 inches

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October 17, 2014

Module 1Ratios and Unit Rates

Topic C: Collections of Equivalent Ratios Lesson 18: Finding a Rate by Dividing Two

QuantitiesStudent Outcomes

While there is no physical way to divide two different quantities like (5 miles)/(2 hours), students make use of the structure of division and ratios to model (5 miles)/(2 hours) as a quantity 2.5 mph. Interpreting a rate as a division of two quantities, or better yet a fraction, is the first step towards converting measurement units using rates later in the module, and dimensional analysis in high school. They use this interpretation of a rate in word problems when multiplying a rate by a quantity, as in:


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October 17, 2014

ClassworkMathematical Modeling Exercises1. At Fun Burger, the Burger Master can make hamburgers at a rate of 4 burgers/minute. In order to address the heavy volume of customers, he needs to continue at this rate for 30 minutes. If he continues to make hamburgers at this pace, how many hamburgers will the Burger Master make in 30 minutes?

At what rate does the Burger Master make hamburgers?

How long does the Burger Master make hamburgers?

Multiply the rate by the amount of time the Burger Master works.

Answer the question asked in the problem.


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2. Chandra is an editor at the New York Gazette. Her job is to read over each article before it is printed in the newspaper. If Chandra can read 10 words/second, how many words can she read in 60 seconds?

At what rate does Chandra read?

How long does Chandra have to read?

Multiply the unit rate by the amount of time Chandra reads.

Answer the question asked in the problem.


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October 17, 2014

Station OneHelena works for a publishing firm.

She is considered an average typist and can type 52 words/minute. If she continues at this rate, how many

minutes would it take Helen to type 104 words?

If Helena types at a constant rate of 52 words/minute, she can type 104 words in 2 minutes.


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October 17, 2014

Station TwoJaxon test drives cars for a car company. Part of his job is to test the cruise control on a testing course. On his last test drive, Jaxon set the cruise control at 48 miles/hour and drove for 2 hours. How many miles did Jaxon drive?If Jaxon drives at a constant rate of 48 miles/hour, he can

drive 96 miles in 2 hours.


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October 17, 2014

Station ThreeTo train for an upcoming marathon, Alvin runs 9 miles a day. If Alvin runs 9 miles

every day for 30 days, how many total miles will he run?

If Alvin runs 9 miles every day for 30 days, he would run a total of 270 miles.


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October 17, 2014

Station Four

A library just hired Brittany to write reviews on different books. The job

requires Brittany to read 3 books/week. If Brittany reads a total of 36 books, how

many weeks will she work?If Brittany is required to read 3 books/week, she would have to work 12 weeks in order to read 36 books.


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October 17, 2014

Station Five

Notebooks are on sale for 4 notebooks/dollar. Mrs. Day wants to buy notebooks

for her students but only has $12 to spend. How many notebooks can Mrs. Day buy?

If notebooks are on sale 4 notebooks/dollar, then Mrs. Day can buy 48 notebooks for $12.


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October 17, 2014

Station Six

Kevin hopes to earn a college basketball scholarship. To improve his shooting skills,

Kevin shoots 50 baskets/day. If Kevin shoots 50 baskets every day for 60 days,

how many shots would Kevin take?

If Kevin continues to shoot 50 baskets/day for 60 days, he would shoot a total of 3,000 baskets.


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October 17, 2014

Closing

Please take out your exit ticket for Lesson 18, close your binder, and complete the exit ticket. This will be collected.


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October 17, 2014

Documents

Module 1 lesson 18