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9-12 Extra Support Materials for Algebra 1 Unit 7 Lesson 12

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K-5 Math 6-8 Math •9-12 Math

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

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Extra Support Materials for Algebra 1

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Lesson 12

12.1 Warm-up 12.2 Activity 12.3 Activity

Unit 7, Lesson 12

Changing the Equation

Extra Support Materials for Algebra 1

12.1

Warm-up

Evaluate when is -3.

Step 1:

Step 2:

Step 3:

16

12.2

Activity

Standards Alignment

Building On

Addressing

6.EE.2

Write, read, and evaluate expressions in which letters stand for numbers.

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7.NS.2.c

Apply properties of operations as strategies to multiply and divide rational numbers.

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F-IF.7.a

Graph linear and quadratic functions and show intercepts, maxima, and minima.

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Building Toward

F-BF.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

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Using graphing technology, graph . Then, experiment with the following changes to the function. Record your observations (include sketches, if helpful).
1. Adding different constant terms to (for example: , ).
2. Multiplying by different positive coefficients greater than 1 (for example: ).
3. Multiplying by different positive coefficients between 0 and 1 (for example: ).
4. Multiplying by negative coefficients (for example: ).
Use your observations to sketch these functions on the coordinate planes, which currently show .

12.3

Activity

Standards Alignment

Building On

Addressing

6.EE.2

Write, read, and evaluate expressions in which letters stand for numbers.

View Full Standard

7.NS.2.c

Apply properties of operations as strategies to multiply and divide rational numbers.

View Full Standard

Building Toward

F-BF.3

Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

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Evaluate each expression when is -3.
For each graph, come up with an equation that the graph could represent. Verify your equation using graphing technology.
graphs A, B, C, D, E, F of 6 lines. A, slope = -1, y intercept = 10. B, slope = 1, y intercept = -15. C, slope = 1, y intercept = 15. D, slope = 2, y intercept = 10. E, slope = 2, y intercept = -10. F, slope = -1, y intercept = -15.

None

Standards Alignment

Building On

Addressing

6.EE.2

Write, read, and evaluate expressions in which letters stand for numbers.

View Full Standard

7.NS.2.c

Apply properties of operations as strategies to multiply and divide rational numbers.

View Full Standard

Building Toward

F-IF.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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F-IF.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

View Full Standard