Lesson 3: 1.3 New Functions from Old Functions
Duration of Days: 2
Lesson Objective
Students will understand how new functions are created from the basic functions learned in 1.2.
- How do we shift a function up/down/left/right?
- How do we stretch or compress a function horizontally or vertically?
- How do we reflect a function?
- What is a composite function?
- shift
- stretch/compress
- reflection
- composite functions
HS.MA.3B - 3B. Interpret functions and expressions for functions that arise in applications in terms of the context and situation they model.
HS.MA.3C - 3C. Analyze functions using different representations.
HS.MA.3E - 3E. Build new functions from existing functions.
Functions:
DOK levels 1-4
The difference between how to affect functions horizontally versus vertically is often confusing to students.
Homogeneous grouping and whole-class discussions
Section assessment
Problems assigned from book