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1. CCSS Alignment

While the student used vocabulary and direction in the descriptions provided, the student did not include the quantity of the transformation (i.e., vertical translation of 3/2 units or vertical scaling of 3 units), as would be expected for a full description of the effect of changes in k for the transformations required in HSF-BF.B.3.

 

Standard referenced:

HSF-BF.B.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.

1. CCSS Alignment 

The student shows a proficient use of vocabulary, direction, and quantity.

 

Standard referenced:

HSF-BF.B.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.

1. Understanding

The student was able to generate graphs without having to attend to the intermediate steps of creating a table.

2. CCSS Alignment 

This description and use of language was more robust here than in #1-5 and illustrates appropriate use of vocabulary, direction, and quantity.

 

Standard referenced:

HSF-BF.B.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.

3. Comprehension & Application

SMP.6: Attend to precision.

 

The student attended to precision on graphing (scaling and plotting ordered pairs) and vocabulary (using “vertical” instead of “translation up”).