©evergreen public schools 2010 1 solve both sides day 1 teacher notes supplies each student needs a...

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©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

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Page 1: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

1

Solve Both Sides Day 1Teacher Notes

Supplies Each student needs a bag of algebra tiles.

Revised 8/11/11

Page 2: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

2

Target 3b I can show the algebraic steps I used to

find a solution to a multi-step equation.

Make up an equation with variables on both sides of the equation.

Make up an equation with variables on both sides of the equation.

Page 3: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

3

Get a piece of blank paper

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

the equation.

Page 4: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

4

LaunchLaunch• Use algebra tiles to solve 2x – 3 = 5

Page 5: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

5

Use Algebra Tiles to Solve

Linda asks Heather and Cindy how many books they read over summer. Cindy read 4 times as many books as Linda read. Heather read 4 more than three times as many books as Linda read. How many books did Cindy read?

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

Page 6: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

6

Make the equation with tiles3x + 4 = 4x

Page 7: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

7

Make this equation with tiles

3x + 4 = 4x

Page 8: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

8

Solve: 3x + 4 = 4x

=

4 = x

Page 9: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

9

✔Check it: 4 = x 3x + 4 = 4x

16 16=

✔ :-)

Page 10: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

10

Use Algebra Tiles to Solve

Linda asks Heather and Cindy how many books they read over summer. Cindy read 4 times as many books as Linda read. Heather read 4 more than three times as many books as Linda read. How many books did Cindy read?

Now that you know what x is, what were you asked to find?

Page 11: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

11

Solve: 2x + 4 = 5x + (-5)

Solve this one with your partner!

Solve this one with your partner!

Page 12: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

12

Solve: 2x + 4 = 5x + (-5)

Page 13: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

13

Solve: 2x + 4 = 5x + (-5)

Page 14: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

14

Solve: 2x + 4 = 5x + (-5)

Page 15: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

15

Solve: 2x + 4 = 5x + (-5)

Page 16: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

16

Solve: 2x + 4 = 5x + (-5)

Page 17: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

17

Solve: 2x + 4 = 5x + (-5)

Page 18: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

18

Solve: 2x + 4 = 5x + (-5)

Page 19: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

19

Solve: 2x + 4 = 5x + (-5)

x = 3

Page 20: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

20

✔Check it: x = 3 2x + 4 = 5x + (-5)

10 10=✔ :-)

Page 21: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

2121

Team PracticeTeam Practice

Solve3x + 1 = 4x – 3

2(x – 4) = 6

Check your answers.Be prepared to share your work.

Page 22: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

22

Debrief

Explain How do you solve equations with variables on both sides?

Page 23: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

23

5

3

12

4

Did you hit the target? Target 3b I can show the

algebraic steps I used to find a solution to a multi-step equation

Rate your understanding of the target from 1 to 5.

5 is a bullseye!

Page 24: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

24

PracticePractice

Practice 2.6 ___

Page 25: ©Evergreen Public Schools 2010 1 Solve Both Sides Day 1 Teacher Notes Supplies Each student needs a bag of algebra tiles. Revised 8/11/11

©Evergreen Public Schools 2010

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Ticket Out

If you were told to solve, what would you do next?