a rate can have equivalent rates just like a fraction can have equivalent fractions
DESCRIPTION
If you know you walked 5 miles in 2 hours, is there a way to figure out how long it took you to travel 15 miles?. In this lesson you will learn to solve for missing values in a rate problem by setting up a double number line. . - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/1.jpg)
If you know you walked 5 miles in 2 hours, is there a way to figure out how
long it took you to travel 15 miles?
![Page 2: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/2.jpg)
In this lesson you will learn to solve for missing values in a rate problem by setting up a
double number line.
![Page 3: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/3.jpg)
Let’s Review
A rate can have equivalent rates just like a fraction can have equivalent
fractions.
2 miles 1 hour
x3
x3
6 miles 3 hours
![Page 4: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/4.jpg)
A Common Mistake
5 2
wrong line!
miles
hours
?
15
Your rate of speed is 5 miles per 2 hours. You traveled 15 miles.
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Core Lesson
Avery mowed 7 lawns in 4 hours. At that rate how long will it take him to mow 21 lawns?
How can I use the rate to help set up
and solve?
![Page 6: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/6.jpg)
Core Lesson
Lawns7
4
14
8
21
12
+7
+4
Hours
+7
+4
7 lawns per 4 hours
21 lawns? hours
Avery mows 21 lawns in 12 hours.
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Core Lesson
+7
+7
+4 +4
x 3
x 3
multiplicative reasoning
additive reasoning
Lawns7
4
14
8
21
12
Hours
![Page 8: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/8.jpg)
In this lesson you have learned to solve for missing values in a rate problem by setting up a
double number line.
![Page 9: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/9.jpg)
Guided Practice
At the register, Annie noticed that her hummus was on sale 2 containers for $4.50. How many containers can she purchase with $18?
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Extension Activities
second
feet 1 3 5
8 12 16
Fill in the missing values of the double number line.
Write a paragraph explaining what rate properties were used to create and fill in the lines.
![Page 11: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/11.jpg)
Extension ActivitiesAnnie decorates cookies at a rate of 3 in 4 minutes and she decorates cupcakes at a rate of 4 in 5 minutes. Her school needs 21 desserts to sell in a bake sale.
How many cupcakes and cookies will she make? (answers may vary)
How long will it take her?
Create a double number line to support your work.
![Page 12: A rate can have equivalent rates just like a fraction can have equivalent fractions](https://reader036.vdocuments.net/reader036/viewer/2022062315/5681613f550346895dd0aad1/html5/thumbnails/12.jpg)
Quick Quiz
George mows 4 lawns in three hours. If he works for 6 hours on Monday, how many lawns does he mow?
A cereal brand is on sale $2 for 32 oz. If Sally spent $8 on the cereal, how many ounces did she purchase?