11 Components
Big Ideas
Formative Assessment Lesson
Re-engagement
End of Unit Assessments
Browse Components
Big Ideas
Formative Assessment Lesson
Re-engagement
End of Unit Assessments
Big Idea:

### Functions within a family are transformations of the parent function.

1 week

Evidence of Understanding

• compare functions within a family and describe the transformations from the parent function
• describe transformations between the parent function and another function in the same family
• describe the translation (vertical or horizontal shift), reflection over a line, or dilation in the rate of change
• use words or symbolic notations
• Example: The graph shifted up 3 from the parent function and in the table of values the outputs are 3 units higher compared to the parent function.
• create a graph, table of values, or equation for a function given the parent function and a stated transformation

• describe how transformations impact the zeros, critical points, and rate of change of a function
• describe how points of a function change as a result of a given transformation
• identify what stays the same and what is different
• explain how translations, f(x) + k or f(x + k), and reflections, f(x) or f(-x), preserve distances within the original function but only translations preserve orientation
• explain how dilations, k ● f(x), impact the instantaneous rate of change for all points of a function except the mins and maxs

Develop conceptual understanding:

transformation, parent function, translation, reflection, dilation

Supporting terms to communicate:

input, output, independent, dependent, domain, range, symmetry, rate of change, end behavior, interval, intercepts, zeros, roots, critical points, linear, absolute value, quadratic, cubic, polynomial, square and cube root, exponential, logarithmic, periodic, rational

Core Resource
A core resource supports multiple days of instruction.
• Transformations of Different Families of Functions
This single-day resource supports students in transforming functions.
Resource:
Transformations of Different Families of Functions

This single-day resource supports students in transforming functions. It includes cards with examples of transformations for functions from different function families for students to fill in missing information.

All Resources From:
• Unit 1

#### Families of Functions

Instructional Routine: Contemplate then Calculate
These tasks are embedded within the instructional routine called Contemplate then Calculate. COMING SOON!
Instructional Routine: Connecting Representations
These tasks are embedded within the instructional routine called Connecting Representations.
• Transformations of Graphs and Tables
Connect what students know about transformations to transformations of functions in both graph, table, and function notation format.
Resource:
Transformations of Graphs and Tables

Connect what students know about transformations to transformations of functions in both graph, table, and function notation format.

All Resources From:
• Unit 1