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Solving Problems using Proportions

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Elyse Weltmer

on 24 March 2013

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Transcript of Solving Problems using Proportions

How are proportions used to solve problems? Using Proportions to Solve Problems Shopping Medicine Speed Size Step 1: Set-up the structure. Step 2: Read the Problem - Underline what you must find. Step 3: What does it compare? Step 4: Circle what you know. Step 5: One unit on the top,
the other on the bottom. Step 6: Fill in what you know. Step 7: Cross multiply to find the equation. Step 8: Solve and label your final answer. Step 1: Set -up the Structure. Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Step 2: Read the problem- Underline what you must find. Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? _________ = _________ Step 3: What does it compare? Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? _________ = _________ Step 4: Circle what you know. _________ = _________ _________ = _________ _________ = _________ _________ = __________ Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Step 5: One unit on the top,
the other on the bottom Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Step 6: Fill in what you know. Miles Hours Step 7: Cross multiply to find the equation. Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? _________ = __________ Hours Miles 50 200
2 x Step 8: Solve and label your final answer. _________ = __________ 50 200
2 x Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? Miles Hours 50x = 400 Kerri, and Sequoya can buy 3 bags of chocolate from Giant for $10. How many bags of chocolate can they buy for $40? Step 1: Set-up the structure.



Step 2: Read the problem - Underline what you must find.



Step 3: What does it compare?



Step 4: Circle what you know. Step 1: Set-up the structure.



Step 2: Read the problem - Underline what you must find.



Step 3: What does it compare?



Step 4: Circle what you know. Brenan and Kameron are competing to see who can make the most 3-point shots. If Kameron makes 8 3-point for every 24 shots he takes, how many 3-pointers can he make in 64 shots? Autumn and Kelcie are creating a collage of pictures. They have one picture that is 10 inches long and 6 inches wide. How wide would the picture be if they reduced the length to 6 inches? Step 1: Set-up the structure.



Step 2: Read the problem - Underline what you must find.



Step 3: What does it compare?



Step 4: Circle what you know. Kerri, and Sequoya can buy 3 bags of chocolate from Giant for $10. How many bags of chocolate can they buy for $40? Step 5: One unit on the top,
the other on the bottom.



Step 6: Fill in what you know.



Step 7: Cross multiply to find the equation.



Step 8: Solve and label your final answer. Brenan and Kameron are competing to see who can make the most 3-point shots. If Kameron makes 8 3-pointers for every 24 shots he takes, how many
3-pointers can he make in 64 shots? Step 5: One unit on the top,
the other on the bottom.



Step 6: Fill in what you know.



Step 7: Cross multiply to find the equation.



Step 8: Solve and label your final answer. Step 5: One unit on the top,
the other on the bottom.



Step 6: Fill in what you know.



Step 7: Cross multiply to find the equation.



Step 8: Solve and label your final answer. _________ = _________ _________ = _________ Autumn and Kelcie are creating a collage of pictures. They have one picture that is 10 inches long and 6 inches wide. How wide would the picture be if they reduced the length to 6 inches? Step 1: Set-up the structure.

Step 2: Read the problem -
Underline what you must find.

Step 3: What does it compare?

Step 4: Circle what you know.

Step 5: One unit on the top,
the other on the bottom.

Step 6: Fill in what you know.

Step 7: Cross multiply to find the equation.

Step 8: Solve and label your final answer. Step 1: Set-up the structure.

Step 2: Read the problem -
Underline what you must find.

Step 3: What does it compare?

Step 4: Circle what you know.

Step 5: One unit on the top,
the other on the bottom.

Step 6: Fill in what you know.

Step 7: Cross multiply to find the equation.

Step 8: Solve and label your final answer. Miss W needs to give her dog medicine. The label says to give 5 tablespoons of medicine for a 5 pound dog. At this rate, how many tablespoons should Miss W give to her 80 pound dog? Mike and Kyle want to buy cupcakes for their friends. If they can buy 12 cupcakes for $8, how many cupcakes can they buy for $20? Sports Proportion Problem Stations You will work with your table partners to complete the stations.

You will get 5 minutes to solve each problem using the flow chart.

When you have found your answer, check it using the answer on the back.

Be sure to not only check your final answer, but your process as well.

If you got the incorrect answer, try to figure out your error.

If you are having trouble, raise your hand and wait patently for help. Ticket out the Door Nate, Jordan, and Tommy are driving to Ocean City, Maryland at a rate of 50 miles in 2 hours. At this rate, how long would it take them to drive 200 miles? 3- List 3 types of problems solved with proportions.

2- Explain 2 steps you understand.

1- List 1 step you need more practice using. * Use your flow chart graphic organizer to help you complete your ticket.
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