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Problem Solving. Section 1.6. Problem Solving is easy if you follow these steps. Understand the problem. Steps – Understand the problem. Read the problem carefully. Find the important information. Write down the numbers. Identify what the problem wants you to solve. BE THE PROBLEM!.
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Problem Solving Section 1.6
Problem Solving is easy if you follow these steps Understand the problem
Steps – Understand the problem • Read the problem carefully. • Find the important information. • Write down the numbers. • Identify what the problem wants you to solve. • BE THE PROBLEM!
EX 1 • Luis earned 14 Accelerated Reading points the first week of November. At the end of the following week he had a total of 31 points. How many points did he earn the second week? Total = 31 1st week =14 2nd week = ? Write an equation: 14 + s = 31 17 points earned the second week
Write an equation to solve this problem. • Jaylynn had $84.75 in her savings account. She made a deposit. Her new balance was $107.03. How much was her deposit? $84.75 + d = $107.03 OR $107.03 – $84.75 = d
Write an equation to solve this problem. • Anthony has twice as many pokemon cards as Joshua. If Anthony has 124 cards, how many does Joshua have? 2d = 124 OR d = 124/2
Write an equation to solve this problem. • Vicki baked 90 cookies . If there are 15 cookies in each batch. How many batches did she bake? 15b = 90 OR b = 90/15
Write an equation to solve this problem. • Navneet has 3 times as many CD’s as Arlene. If Navneet has 36 CD’s, how many does Arlene have? 3c = 36 OR c = 36/3
Write an equation to solve this problem. • A square has a perimeter of 48 inches. What is the length of each side of the square. 4s = 48 OR s = 48/4
Write an equation to solve this problem. • One year the city ambulance responded to emergencies on 293 days. How many days were there no emergencies? 293 + d = 365 OR d = 365 - 293
CHALLENGE QUESTION: On your own: • 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?
Step 2 - Decide how you’re going to solve the problemMake your diagram N W E start S finish 1 mile
Step 4 - Look Back & CheckDid you solve what the problem asked you to solve? 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 N start W E S finish 1 mile
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? 1 ½ 1 ½ 15 12 1 ½ 1 ½
1 ½ 1 ½ 12” 1 ½ 1 ½ 15” + 3 1 ½ 1 ½
1 ½ 1 ½ 12” 15 3 15” - 12 1 ½ 1 ½
1 ½ 1 ½ 12” 12 3 15” - 9 1 ½ 1 ½
1 ½ 1 ½ 12 3 + 9” 15 12” 9 3 + 1 ½ 12 1 ½
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? P R E L Z
Now the overhead problem along Soccer field vs Football field