Name: ______________________________ Date: September 13, 2016 Homeroom: 7 th Grade Math: Unit: Ratios and Proportions Packet 10: Measuring Rate Objectives: Scholars will be able to compute the unit rate of quantities measured in different units. Scholars will be able to represent ratios in 3 ways (colon, word “to” and as a fraction). Agenda: 1. Review Do Now 6. Which is the better buy? 2. How fast is our class? 7. Independent Practice 3. Writing Ratios 8. Exit Ticket 4. Calculating Unit Rate 9. Homework Overview 5. Our Class by Gender Homework 5: Measuring Rate Do Now: 1
Transcript
Name: ______________________________
Date: September 13, 2016
Homeroom:
7th Grade Math:
Unit: Ratios and Proportions
Packet 10: Measuring Rate
Objectives: Scholars will be able to compute the unit rate of quantities measured
in different units. Scholars will be able to represent ratios in 3 ways (colon, word “to” and
as a fraction). Agenda:
1. Review Do Now 6. Which is the better buy?2. How fast is our class? 7. Independent Practice3. Writing Ratios 8. Exit Ticket4. Calculating Unit Rate 9. Homework Overview5. Our Class by Gender Homework 5: Measuring Rate
Do Now:
1
Example 1: How fast is our class? As you learned in culture camp, CCA does things differently! We want to eliminate as many distractions as possible to maximize YOUR time and learning on your path to college. Some of the procedures we use every day can be measured and studied using math. Today we are going to look at how fast our class can pass out papers!
Brainstorm/Think-Pair-Share:
1. What are some ways that we can measure our rate of passing out papers?
Record the results from the paper-passing exercise in the table below.
Trial
Number of Papers Passed
Time (in seconds
)
Ratio of Number of Papers Passed
to Time
Rate Unit Rate
1
2
3
4
College-Ready Vocabulary
2
Write in complete sentences!
Word Definition Example
Ratio
Rate
Unit Rate
Analyze the Experiment:
1. Did our rate get faster or slower over time? How do you know? ________________________________________________________________________________________________________________________________________________________________________________________________________________________
2. In another class period, scholars were able to pass 28 papers in 15 seconds and another class passed out 18 papers in 10 seconds. How do these results compare to our class? ________________________________________________________________________________________________________________________________________________________________________________________________________________________
Example 2: Our Class by Gender (15 Minutes)Number of Boys Number of Girls Ratio of Boys to
3
Girls
Ohio Northern
Cincinnati
Dayton
Whole 7th Grade
1. Are the ratios of boys to girls in the three homerooms equivalent? ________________________________________________________________________________________________________________________________________________________________________________________________________________________
2. What could these ratios tell us? ________________________________________________________________________________________________________________________________________________________________________________________________________________________
3. If there is a larger ratio of the number of boys to the number of girls in one of the classes than in the grade as a whole, what must be true about the boy to girl ratio in other classes? ________________________________________________________________________________________________________________________________________________________________________________________________________________________
4. How do we compare ratios when we have varying sizes of quantities? ________________________________________________________________________________________________________________________________________________________________________________________________________________________
Example 3: Which is the better buy?
4
Equivalent:
Value-Mart is advertising a Back-to-School sale on pencils. A pack of 30 sells for $7.97, whereas a 12-pack of the same brand costs $4.77. Which is the better buy? How do you know?
Independent Practice:Directions: Answer the following questions. Show all of your work.
1. Find each rate and unit rate. INCLUDE UNITS!
Rate Unit Rate
420 miles in 7 hours
360 customers in 30 days
40 meters in 16 seconds
$7.96 for 5 pounds
2. Write three ratios that are equivalent to the one given: The ratio of right-handed students to left-handed students is 18:4.
5
Space for work:
3. Mr. Parker has 16 homework papers and 14 exit tickets to return. Ms. Hughes has 64 homework papers and 60 exit tickets to return. For each teacher, write a ratio to represent the number of homework papers to number of exit tickets they have to return. Are the ratios equivalent? Explain.
Mr. Parker Ms. Hughes
Are these ratios equivalent?
4. Jonathan’s parents told him that for every 5 hours of homework or reading he completes, he will be able to play 3 hours of video games. His friend Lucas’s parents told their son that he can play 30 minutes for every hour of homework or reading time he completes. If both boys spend the same amount of time on homework and reading this week, which boy gets more time playing video games? How do you know?
5. Of the 30 girls who tried out for the lacrosse team at Euclid Middle School, 12 were selected. Of the 40 boys who tried out, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?
6
6. Devon is trying to find the unit price on a 6-pack of drinks on sale for $2.99. His sister says that at that price, each drink would cost just over $2.00. Is she correct, and how do you know? If she is not, how would Devon’s sister find the correct price?
7. Each year Lizzie’s school purchases student agenda books, which are sold in the school store. This year, the school purchased 350 books at a cost of $1,137.50. If the school would like to make a profit of $1,500 to help pay for field trips and school activities, what is the least amount they can charge for each agenda book? Explain how you found your answer.
Practice beyond Perfection-Turn in for Dollars!
7
8
Name: ______________________________
Date: September 13, 2016
Homeroom:
Ms. Petrozzi: (614) 725-9693
7th Grade Math:
Unit: Ratios and Proportions
Packet 10: Measuring Rate
Redo: Score: ________/5 _________% DNG A B C D F
Directions: Answer the following questions. Show all of your work and write your answers in complete sentences.
1. In Ms. Petrozzi’s first college class, there were 14 girls and 18 boys.
a. What is the ratio of girls to boys? Write this ratio 3 different ways.
b. What is the ratio of boys to the total number of students? Write this ratio 3 different ways.
2. Find each rate and unit rate. INCLUDE UNITS!
Rate Unit Rate
40 hours in 5 days
66 miles in 3 gallons
9 pounds for $2
9
Help?! See table on page 4!
Help?! Pg. 5
3. At top speed, a greyhound, a roadrunner, and a cheetah can achieve the following distances in the given length of time shown in the picture below. In the box below, show the rate of speed for each animal. Which animal is the fastest? Which animal is the slowest?
Greyhound Unit Rate: (Top animal) Roadrunner Unit Rate: (Middle animal)
Cheetah Unit Rate: (Bottom animal) Which animal is the fastest? Explain.
Which animal is the slowest? Explain.
10
Grading Guide:_____ Correct Greyhound Unit Rate_____ Correct Roadrunner Unit Rate_____Correct Cheetah Unit Rate_____ Fastest Animal with Explanation_____ Slowest Animal wit Explanation
Help?! Table pg. 2 and Example 3
Name: ______________________________
Date: September 13, 2016
Homeroom:
7th Grade Math:
Unit: Ratios and Proportions
Packet 10: Measuring Rate
Directions: Answer the following questions. Once you have finished, flip this paper over and assign yourself to your independent reading book.
1. Which is the better buy? Show all of your work in the space below.
4-pack of ride tickets for $17.765-pack of ride tickets for $22.05
2. Morgan bought 3 pairs of jeans for $71.40. Calculate the unit rate.
3. Andy drove 840 miles in 12 hours. Calculate the unit rate.
11
Self-Assessment: _______ Test-Ready _______ More Practice ________ Help!
