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Published byVernon Lawson Modified over 9 years ago
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Warm - Up
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Agenda CA Standards: 5.0: 5. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step. Objectives: (1) Students clear fractions and then solve multi-step equations 1.) Warm - Up 2.) Lesson Work Word Problems ppt. 3.) Assignment
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Work Word Problems Pencils Down Please: Mr. Love can paint a room in 3 hours. Mr. Sexton can paint the same room in 6 hours. How many hours will it take them to paint the room together?
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Let’s take a closer look If Mr. Love can paint the room in 3 hours, then how many rooms can he paint in 1 hour? And if Mr. Sexton can paint the room in 6 hours, then how much can he paint in 1 hour? Therefore, if they work together, how much can they paint in one hour? +
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What does this mean? + How much of the room gets painted in one hour when they work together? At this rate, how long will it take them to paint the room?
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Example 1 Mr. Love can paint a room in 3 hours. Mr. Sexton can paint the same room in 6 hours. How many hours will it take them to paint the room together? Think of the problem in terms of hourly units… +=
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18t ● 1 6 1 1 3 t # 6 3 9t 0
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You Try. Mr. Clark can mow the lawn in 20 minutes. Mr. Hunt can mow the same lawn in 5 minutes. How long will it take them to mow the lawn together? 20t ● 1 1 1 1 4 t # 1 4 5t 0
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You Try. One pipe can fill a tank in 20 minutes, while another one takes 30 minutes to fill the same tank. How long would it take the two pipes to fill the tank together? 60t ● 1 3 1 1 2 t # 3 2 5t 0
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