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©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Still use algebra tiles! Students write and solve equations from word problems. . Supplies Each student needs a bag of algebra tiles. 7/14/11

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Page 1: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

1

Solve Equations with Variables on One Side

Teacher Notes

Still use algebra tiles!Still use algebra tiles!Students write and solve equations from word problems. . Supplies Each student needs a bag of algebra tiles.

7/14/11

Page 2: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

2

Target 3a I can write an equation to solve a problem.

What do you think this means?

Can you give an example?

Page 3: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

3

LaunchLaunchLaunchLaunchSolve. Remember from last year. • 3x = 6

• 2x + 1 = 7

Be prepared to share your

work…

Be prepared to share your

work…

Page 4: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

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Page 5: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

5

The left side of an equation is equal to the right side.

Page 6: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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The left side of an equation is equal to the right side.

Page 7: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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The left side of an equation is equal to the right side.

25¢ 25¢ =

Page 8: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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Get a piece of blank paper

• Fold it in half hamburger style.• Use the fold to divide the 2 sides of

the equation.

Page 9: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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Use Algebra Tiles to Solve

Cindy, my sister, read two more books than me. She read 5 books. How many did I read?

What are you asked to find?Define x: Write an equation to solve

the problem.

Page 10: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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Cindy, my sister, read two more books than me. She read 5 books.

How many did I read?

Books I read. Books Cindy read.

Page 11: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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Cindy, my sister, read two more books than me. She read 5 books.

How many did I read?

Keep it balanced.Do exactly the same to both sides of the equation.

Books I read. Books Cindy read.

Page 12: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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What did I just do?Did I keep it balanced?

Cindy, my sister, read two more books than me. She read 5 books.

How many did I read?

Books I read. Books Cindy read.

Page 13: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

13What is the solution?

I read 3 books.

Cindy, my sister, read two more books than me. She read 5 books.

How many did I read?

Books I read. Books Cindy read.

Page 14: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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I used 3 one-dollar bills when I bought lunch. After lunch, I had 1 one-dollar left in my wallet. How many one-dollar bills did I have before lunch?

What are you asked to find?Define x: Write an equation to solve the

problem.

Use Algebra Tiles to Solve

Page 15: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

15

I used 3 one-dollar bills when I bought lunch. After lunch, I had 1 one-dollar left in my wallet.

How many one-dollar bills did I have before lunch?

How can I get x alone and still keep the equation balanced?

Remove zero pairs

Remove zero pairs

Before lunch

After lunch

Page 16: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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I had $4 before lunch.

I used 3 one-dollar bills when I bought lunch. After lunch, I had 1 one-dollar left in my wallet.

How many one-dollar bills did I have before lunch?

Before lunch

After lunch

Page 17: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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Check it: x = 4 x + (-3) = 1

1 1 =

:-)

Page 18: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his goal?

What are you asked to find?Define x: Write an equation to solve the problem.

Use Algebra Tiles to Solve

Page 19: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 20: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 21: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

21

John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 22: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

22

John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 23: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

23

How can we solve for 1x?

John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 24: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 25: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 26: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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John buys games for 2 months.

=

John has 4 video games. He has a goal to buy 3 each month until he has 10 games. How many months does he need to buy games to reach his

goal?John’s Games

John’s Goal

Page 27: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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Check it: x = 23x + 4 = 10

10 10=

:-)

Page 28: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

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Debrief

Write what you know about using algebra tiles to solve a problem.

Page 29: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

©Evergreen Public Schools 2010

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5

3

12

4

Did you hit the target?Target 3a I can write an

equation to solve a problem.

Rate your understanding of the target from 1 to 5.

5 is a bullseye!

Page 30: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

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PracticePractice

Practice 2.5____

Page 31: ©Evergreen Public Schools 2010 1 Solve Equations with Variables on One Side Teacher Notes Still use algebra tiles! Students write and solve equations from

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Ticket Out

Solve with algebra tiles.Lizzy bought 4 pens with a $10 bill and

got $2 in change. What was the average she spent on each pen?

What are you asked to find?Define x: Write an equation to solve the problem.