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Problem Solving Draw a Diagram by Monica Yuskaitis

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Problem Solving is easy if you follow these steps Understand the problem

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Step 1 – Understand the problem Read the problem carefully. Find the important information. Write down the numbers. Identify what the problem wants you to solve. Ask if your answer is going to be a larger or smaller number compared to what you already know.

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Step 1 - Understand the Problem Read the problem carefully. A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?

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Step 1 - Understand the Problem Find the important information. A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?

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Step 1 - Understand the Problem Write down the key information. A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?

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Step 1 - Understand the Problem Write down the key information. 1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east

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Step 1 - Understand the Problem Identify what the problem wants you to solve. A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?

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Problem Solving is easy if you follow these steps Decide how youre going to solve the problem

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Step 2 - Decide how youre going to solve the problem Choose a method Use a graphUse formulas Write an equationMake a list Find a patternWork backwards Use reasoningDraw a diagram Make a tableAct it out

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Step 2 - Decide how youre going to solve the problem Make your diagram N E S W start 1 mile finish

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Problem Solving is easy if you follow these steps Solve The Problem

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Step 3 - Solve the problem N E S W start 1 mile finish Measure the distance between the start and the finish & compare it to the mile.

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Problem Solving is easy if you follow these steps Look Back & Check

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Step 4 - Look Back & Check Reread the problem A Girl Scout troop went on a hike. First they walked 1 mile east, then 2 miles south, then 3 miles west, and 1 mile north, then 2 miles east. How far is the troop from their starting point?

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Step 4 - Look Back & Check Compare the information from the problem to your work. N E S W start 1 mile finish 1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east

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Step 4 - Look Back & Check Did you solve what the problem asked you to solve? N E S W start 1 mile finish 1 mile east, 2 miles south, 3 miles west, 1 mile north, 2 miles east How far is the troop from their starting point? one mile

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Draw a diagram to solve this problem. A picture frame with a photo is 15 inches wide and 12 inches high. A mat around the photo is 1 ½ inches wide on all sides. What are the dimensions of the photo? 15 12 1 ½

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15 12 1 ½ Step 1 – Add the two mat edges together. 1 ½ + 2/22 Step 2 – Convert the 2/2 into 1 and add this to the whole number 2.

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15 12 1 ½ + 1 3 Step 2 – Convert the 2/2 into 1 and add this to the whole number 2.

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15 12 1 ½ 15 3 - 12 Step 3 – To get the width of the photo subtract the 3 from 15.

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15 12 1 ½ 12 3 - 9 Step 4 – To get the height of the photo subtract the 3 from 12.

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12 9 1 ½ 12 3 + 15 Step 5 – Your photo size is 12 x 9 inches. To check your work, add 2 times the mat width to each of your new measurements. 9 3 + 12

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Draw a diagram to solve this problem. The Zunigas, Estoleros, Leys, Penas and Rices all live on the same road in a row. The Estoleros live in the middle house. The Penas live in the first house. The Leys live between the Estoleros and the Zunigas. Who lives in the second house? EPZLR

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EXAMPLE 5 Solve a multi-step problem BANNER DIMENSIONS You are making banners to hang during school spirit week. Each banner requires 16.5 square feet.

EXAMPLE 5 Solve a multi-step problem BANNER DIMENSIONS You are making banners to hang during school spirit week. Each banner requires 16.5 square feet.

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