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
Warm - Up. Agenda CA Standards: 5.0: 5. Students solve multi-step problems, including word problems, involving linear equations and linear inequalities.
Dec 17, 2015
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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
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?
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?
1of a room3
1of a room6
• Therefore, if they work together, how much can they paint in one hour?
1of a room6
1of a room3 +
What does this mean?1of a room6
1of a room3 +
How much of the room gets painted in one hour when they work together?1
of a room2
At this rate, how long will it take them to paint the room?2hours
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…
1
6
1
3 + =1
t
1 1 1
3 6 t 18t ●
18 1
3
t
1
6
1 1
3
6 1 3 1 18 1t t
6 3 18t t
9 18t 9 9
t 2
18 1
6
t
18 1t
t
189
t #
6
3
9t 0
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?
1 1 1
20 5 t 20t ●
20 1
20
t
1
1
1 1
4
1 1 4 1 20 1t t
1 4 20t t
5 20t 5 5
t 4
20 1
5
t
20 1t
t
205
t #
1
4
5t 0
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?
1 1 1
20 30 t 60t ●
60 1
20
t
1
3
1 1
2
3 1 2 1 60 1t t
3 2 60t t
5 60t 5 5
t 12
60 1
30
t
60 1t
t
605
t #
3
2
5t 0
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