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1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT
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Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

Jan 22, 2021

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Page 1: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

1/14/2021

Integrated Math 1 Module 5

Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

Page 2: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Page 3: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Graph equations in standard Form

________________________________

Page 4: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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________________________________

________________________________

Page 5: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name______________________

________________________________

________________________________

Page 6: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Page 7: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by graphing

________________________________

Page 8: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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________________________________

________________________________

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Name ________________________

Page 10: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Page 11: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Substitution

Lesson:

________________________________________________________________________________________________

Example # 1

Page 12: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Substitution

Example #2

________________________________________________________________________________________________

Example # 3

Page 13: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name _____________________________________

Page 14: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name_______________________________________

Page 15: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Elimination

(level 1)

Lesson:

________________________________________________________________________________________________

Example # 1

Page 16: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Elimination

(level 1)

Example #2

________________________________________________________________________________________________

Example # 3

Page 17: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name _____________________________________

Page 18: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name_______________________________________

Page 19: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Elimination

(level 2)

Lesson:

________________________________________________________________________________________________

Example # 1

Page 20: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Elimination

(level 2)

Example #2

________________________________________________________________________________________________

Example # 3

Page 21: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name _____________________________________

Page 22: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name_______________________________________

Page 23: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Elimination

(level 3)

Lesson:

________________________________________________________________________________________________

Example # 1

Page 24: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Lesson: Solve systems of equations by Elimination

(level 3)

Example #2

________________________________________________________________________________________________

Example # 3

Page 25: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name _____________________________________

Page 26: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name_______________________________________

Page 27: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Systems of Equations Modeling Task

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

A(t) _____________________________________________________________________________

B(t) ____________________________________________________________________________

Which option would you recommend and why? Prepare an argument that includes mathematics that we have used all

year: Table, equation, graph.

Your recommendation will need to quantify how many hours of work need to be done.

# of hours A(t) B(t)

Equations (Explicit) A(t): ______________________ B(t): ______________________

Write your recommendation here:

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________

Page 28: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Systems of Equations Modeling Task

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

A(t) _____________________________________________________________________________

B(t) ____________________________________________________________________________

Which option would you recommend and why? Prepare an argument that includes mathematics that we have used all

year: Table, equation, graph.

Your recommendation will need to quantify how many hours of work need to be done.

# of hours A(t) B(t)

Equations (Explicit) A(t): ______________________ B(t): ______________________

Write your recommendation here:

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________

Page 29: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name __________________________

Review Systems of Equations

1. Solve the system by graphing

4

2 6

y x

x y

2. Solve the system by graphing

2 1

2

y x

y x

Page 30: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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3. Solve the system by substitution

35

4

2

y x

y x

4. Solve the system by substitution

79

5

2 3 16

y x

x y

5. Solve the system by elimination

4 6 0

2 14

x y

x y

6. Solve the system by elimination

3 5

2 6 10

x y

x y

Page 31: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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7. Solve the system by any method

12

5

6

y x

y x

8. Solve the system by any method

8 3 12

5 3 21

x y

x y

Page 32: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Page 33: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Name _____________________ Period _____________

Module 5 Test - Systems of Equations

Solve the system of equations by graphing. Use a straightedge to draw your lines.

1.

Solution:

2.

Solution:

Page 34: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Solve the system of equations by Substitution

3.

Solve the system of equations by Substitution

4.

Solve the system of equations by Elimination

5.

Solve the system of equations by Elimination

6.

Page 35: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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Systems of Equations Modeling Task

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

_____________________________________________________________________________________________

A(t) _____________________________________________________________________________

B(t) ____________________________________________________________________________

Which option would you recommend and why? Prepare an argument that includes mathematics that we have used all

year: Table, equation, graph.

Your recommendation will need to quantify how many hours of work need to be done.

# of hours A(t) B(t)

Equations (Explicit) A(t): ______________________ B(t): ______________________

Write your recommendation here:

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________________________________________________________

__________________________________________________

Page 36: Integrated Math 1 · 2021. 1. 11. · 1/14/2021 Integrated Math 1 Module 5 Mike Efram HEALDSBURG UNIFIED SCHOOL DISTRICT

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