MAT-HS Targeted Standards (F) Concept: Function (BF) Domain: Building Functions Cluster: Build new functions from existing functions.

MAT-HS.F-BF.03* Identify the effect on the graph of replacing f(x) by f(x) + k, f(x + k), k f(x), and f(kx), for specific values of k (both positive and negative); find the value of k given the graphs. Recognize even and odd functions from their graphs.

Student Learning Targets:

Knowledge Targets

I can

I can

Reasoning Targets

I can

I can

Skills (Performance) Targets

I can experiment to identify, using technology, the transformational effects on the graph of a function f(x) when f(x) is replaced by f(x)+k, k∙f(x), f(kx), and f(x+k) for specific values of k, both positive and negative.

I can find the value of k given the graph of a transformed function.

I can recognize even and odd functions from their graphs and equations.

Product Targets

I can

I can

Proficiency Scale

Score

Description

Sample Activity

4.0

(advanced)

In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations.

Write three different quadratic functions whose graphs have the line x = 4 as an axis of symmetry but have different y-intercepts.

3.5

In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.

3.0

(proficient)

The student can:

analyze the transformational effects on the graph of a function.

find the value of k given the graph of a transformed function.

determine whether a function is even or odd given a graph.

The student exhibits no major errors or omissions.

Describe all the transformations and graph the function.

2.5

The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content).

2.0

(progressing)

There are no major errors or omissions regarding the simpler details and processes as the student can:

recognize and recall specific terminology, such as:

vertical shift

horizontal shift

compress/amplified

stretch/shrink

reflection

even function

odd function

However, the student exhibits major errors or omissions regarding the more complex ideas and processes.

Given the graph, identify all of the transformations.

1.5

The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content).

1.0

(beginning)

With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content).

0.5

With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content).

0.0

Even with help, the student demonstrates no understanding or skill.