Unit Rates with Speed and Price- Step-by-Step Lesson ...casagrandevms.ss8.sharpschool.com/UserFiles/Servers/Server_91688/File/6.RP.A.3b Unit...Step 1) Unit rates again. Big surprise!

Name _____________________ Date _________________________

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Unit Rates with Speed and Price- Step-by-Step Lesson

Lesson 1 Unit Rate Problem:

Sally is making pies. Sally took 2 hours to knead the dough. The dough contained 6 kilograms of flour. How long do you think it will take Sally to knead 36 kilograms of flour? Solve using unit rates.

Explanation:

Step 1) First we have to find the unit rate.

3 kilograms per hour

Step 2) Now we have to use the unit rate in the formula.

Time kneading dough = unit rate x hours worked

36 = 3 x n

12 = n

Kneading 36 kilograms of flour took Sally 12 hours.

Name _____________________ Date _________________________


Unit Rates with Speed and Price - Guided Lesson

Complete the following problems:

1) Kate stitches 8 dresses in 2 weeks. After 7 weeks how many dresses should be stitched? Solve using unit rates.

2) Maria threw a party for the promotion she received. The party costs $20 for two people. If she invited 20 guests, what would the cost be? Solve using unit rates.

3) Troy rides his bike 75 kilometers in 1 hour. He rides for another 5 hours. How many kilometers can Troy ride in that time is he maintains his pace? Solve using unit rates.

Name _____________________ Date _________________________


Unit Rates with Speed and Price - Guided Lesson Explanation

Explanation#1

Step 1) We have to find the unit rate.

4 dresses per week


Stitched dresses = unit rate x weeks worked

= 4 x 7

= 28

So, after 7 weeks 28 dresses should be stitched.

Explanation#2

Step 1) First we have to find the unit rate.

$

$10 per person


Total people = unit rate x costs

20 =10 x n

200 = n

Maria has to bear $200 in expenses, if she invites 20 guests.

Name _____________________ Date _________________________


Explanation#3

Step 1) Unit rates again. Big surprise!

75 kilometers per hour


Total kilometers = unit rate x hours

=75 x 5

= 375

So, he can ride an additional 375 kilometers in 5 hours.

Name _____________________ Date _________________________


Unit Rates with Speed and Price - Independent Practice Worksheet

Complete all the problems. Solve using unit rates.

1. Sam can prepare 20 wall paintings in four weeks. How much time will he need to prepare 80 wall paintings?

2. Sonya can walk 6 kilometers in 3 hours. If she has to walk 10 kilometers, how much time will it take her?

3. Tom always keeps his 4 gardens clean. He takes 20 minutes to clean a single garden. How much time will it take to clean all four gardens?

4. Veronica loves to create creative things. She can make 5 craft pieces in 5 days. On the basis of a contract she has to make 20 pieces of crafts. How many days will she take?

5. Brown has his own bakery. He baked 5 cakes per day. Due to the occasion of Christmas, he started to bake 12 cakes per day. In the whole Christmas week how many cakes will he bake?

Name _____________________ Date _________________________


6. Mr. White can travel for 6 hours while taking 3 breaks of 10 minutes each. Once, he had to travel for 36 hours. How many minutes in breaks did he take?

7. Sofia learned 10 recipes to create party dishes. She learned these recipes in two weeks. How many recipes can Sofia learn in 5 weeks?

8. In our class, our class teacher gave us a project to complete in 15 days. If the teacher assigned 4 consecutive projects, how many days will you have to complete the projects?

9. Miss Bird is going to launch an exhibition. Miss Bird can make 8 sculptures in 6 months. If she prepared 12 sculptures, how much time would she take?

10. Charles is going to buy 3 computer tables for $390. If he pays the same rate, how much would it cost for 8 computer tables?

Name _____________________ Date _________________________


Unit Rates with Speed and Price - Matching Worksheet

Match the word problems to their answers. Write the letter of the answer that matches the problem.

_______ 1. Alice has to write 5 pages in 30 minutes. Ricky has to write 6 pages in 35 minutes. If together they can write 10 pages in 50 minutes, how many pages they can write in 60 minutes?

a. 25 days

_______ 2. David learned 15 definitions in 90 minutes. How much time will he take to learn 10 definitions?

b. 12 pages

_______ 3. Lilly can prepare 24 paper boxes in three weeks. How much time will she take to prepare 120 boxes?

c. 8 dresses

_______ 4. A painter can paint 20 windows in 5 days. If he has to paint 50 pairs of windows, how much time will he take to paint them?

d. 30 minutes

_______ 5. Silver washed her dresses. She ironed them in 40 minutes. If she can iron 2 dresses in 10 minutes, write the number of the dresses, she had washed.

e. 15 weeks

_______ 6. Jack had to frame 12 glasses in 2 days. How many days will he take to frame 30 glasses?

f. 15 hours

_______ 7. Steve can knit two pairs of gloves in 5 hours. Steve has to knit 6 pairs of gloves. How many hours will he need?

g. 5 days

Name: ________________________ Date ____________


Topic : Unit Rates- Worksheet 1

Determine the rate

1. A 9-kg bag of mangoes for $12

________ per kg

2. 725 miles in 8 hours

________ miles per hour

3. Type 1500 words in 30 minutes

________ words per minute

4. 5000 jumps for 7 hours

________ per hour

5. 500 calories for 5 servings of candy

________ calories per serving

6. 200 chairs in 40 rows

________ in each row

7. 50 students in 4 buses

________ in each bus

8. A phone calls costs $7 for 3 minutes

________ $ per minute

9. 6,000 miles in 3 hours


10. A 10-kg bag of cherries for $8

________ per kg

Name: ________________________ Date ____________



Determine the rate

1. A 10-kg bag of grapes for $15

________ per kg






________ per hour

5. 600 calories for 8 servings of cakes




7. 6 students in 2 cars

________ in each car





10. A 15-kg bag of strawberry for $8

________ per kg

Name: ________________________ Date ____________



Determine the rate

1. A 12 kg bag of pineapples for $14

________ per kg






________ per hour

5. 800 calories for 7 servings of pastries




7. 100 students in 2 ships

________ in each ship





10. A 10-kg bag of oranges for $20

________ per kg

Name: ________________________ Date ____________



Determine the rate

1. A 20 kg bag of bananas for $10

________ per kg






________ per hour

5.. 700 calories for 10 servings of ice-cream










10. A 14 kg bag of pears for $17

________ per kg

Name: ________________________ Date ____________



Determine the rate

1. A 16 kg bag of watermelon for $8

________ per kg






________ per hour

5. 1000 calories for 12 servings of pizza










10. A 10 kg bag of papayas for $15

________ per kg

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Unit Rates with Speed and Price- Step-by-Step Lesson ...casagrandevms.ss8.sharpschool.com/UserFiles/Servers/Server_91688/File/6.RP.A.3b Unit...Step 1) Unit rates again. Big surprise!