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Families of Functions

Description: 

Students will use a discovery approach to learn about the different families of functions. They will look for patterns between multiple function representations and use those patterns to identify key characteristics of linear, quadratic, absolute value, exponential, and rational functions. Students will identify function patterns in equations, tables, and graphs. After they make these discoveries they will have opportunities to test out their hypothesis. 

Learning Targets: 
Be able to identify a function's family from a graph, table, or equation.
Recognize characteristics of multiple families of functions.
Recognize multiple representations of a function.
Analyze characteristics of functions to summarize characteristics of function families
Link: 
Materials and Planning Sheet
https://drive.google.com/open
Author: 
ty.elenbaas
Content Area: 
Mathematics
Algebra
Language: 
English
Resource Type: 
Unit
Licensing: 
Creative Commons Licence
Grade: 
9-12
Common Core Math
Tags: 
cohort 05-14-2018

How are the standards/objectives assessed?

Students will be assessed through the online algebra-4-all practice. Students will demonstrate their ability to identify families of functions in different forms by performing at least 10 attempts in each applet and then taking a screen shot of their results and sending them to the instructor. 

Student prerequisite skills and knowledge

Students will need to know how to evaluate a function equation for a given value. 

Students will need to be able to plot coordinate pairs on a coordinate graph.

How is the concept or procedure explained or demonstrated?

- The process of evaluating a function for a value will be demonstrated by a teacher in class.

- The process of graphing a function will be demonstrated by a teacher in class.

- The process of comparing functions will be reviewed in a video for students to access online. 

What concepts or procedures are being explained or demonstrated in this lesson object?

- Evaluating functions

- Graphing functions

- Comparing functions

What was your experience, both successes and challenges, using this lesson object with your students?

The process of students learning the different function patterns through discovery has made a positive impact on student retention. As they have worked through the process and discovered the patterns on their own, they have demonstrated a much higher level of understanding and retention.