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9-12 Extra Support Materials for Algebra 1 Unit 2 Lesson 16

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Algebra 1 Geometry Algebra 2 •Extra Support Materials for Algebra 1

Unit

Unit 1 •Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

Modeling Prompts

Lesson

Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 •Lesson 16 Lesson 17 Lesson 18 Lesson 19

K-5
6-8
9-12

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
Integrated Math 2
Integrated Math 3

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Modeling Prompts

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19

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Lesson 16

16.1 Warm-up 16.2 Activity 16.3 Activity

Unit 2, Lesson 16

Elimination

Extra Support Materials for Algebra 1

16.1

Warm-up

Which Three Go Together: Systems of Equations

Which three go together? Why do they go together?

A

B

C

D

Are You Ready for More?

16.2

Activity

Examining Equation Pairs

Standards Alignment

Building On

Addressing

8.F.A

Define, evaluate, and compare functions.

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Building Toward

A-REI.5

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

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Here are some equations in pairs. For each equation, find the -intercept, -intercept, and slope of a graph of the equation.
1. and
2. and
3. and
4. and
What do you notice about the pairs of equations?
Choose one pair of equations and rewrite them into slope-intercept form (). What do you notice about the equations in this form?

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16.3

Activity

Making the Coefficient

Standards Alignment

Building On

Addressing

7.EE.A

Use properties of operations to generate equivalent expressions.

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Building Toward

A-REI.5

Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

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For each question,

What number did you multiply the equation by to get the target coefficient?
What is the new equation after the original has been multiplied by that value?

Multiply the equation so that the coefficient of is 9.
Multiply the equation so that the coefficient of is 1.
Multiply the equation so that the coefficient of is -5.
Multiply the equation so that the coefficient of is -8.
Multiply the equation so that the coefficient of is 3.
Multiply the equation so that the coefficient of is 3.

Are You Ready for More?

Glossary

None

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Standards Alignment

Building On

Addressing

A-REI.C

Solve systems of equations

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Building Toward

A-REI.6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

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