Overview and Background: Unit: How Functions Function

Curtis Conrad : Cheney USD 268

Mathematics. : Mathematics. : Mathematics.

Cheney : Grades 11 - 11 : Aug. - Jun.

Title:	How Functions Function
Topics:	Functions
Time Frame:
Start Date:	-
Status:	Draft
Date Revised:

Other Designers:

Summary:
This unit looks at the important of functions in mathematics.

Print Materials Needed:

Resources:
Algebra and Trigonometry 2 / Houghton Mifflin, 1986.

Resource Attachments:

Internet Resource Links:

Notes:

Stage 1: Identify Desired Results

State:	KS       2
Title:	Mathematics
Standard(s):	The student recognizes, describes, extends, develops, analyses and gives the general rule of patterns for algebra functions.

Understandings:
user	Linear functions can be used to represent & solve problems. Unit Understandings: Functions are subsets of relations; therefore every function is a relation, but not every relation is a function. In functions every element of the domain is paired with exact one if the range. If a function is linear it follows the same rules as linear equations.

Essential Questions:
User	What is the relationship between functions & relations? What is the benefit of linear functions? How can solving linear functions be beneficial? How are linear functions used in everyday life?

Knowledge and Skills:

K
Definitions of functions, relation, domain, range, linear, & vertical line test.
How specific functions will be present & used in finance and science areas.

S
Find the range & domain of functions
Determine if the function is linear
Write formulas for linear functions
Solve problems with linear functions
Differentiate between functions & relations
Graph relations

Stage 2: Determine Acceptable Evidence

Assessment Summary:
The student is a helicopter pilot responsible for dropping supplies to firefighters. He/she must describe the principles of physics that are exhibited in the behavior of the falling objects as well as a formula that can express it in a function.

Task/Prompt: Helicopter Pilot

Type:Performance Task

Topics: Functions

Summary:
The student is a helicopter pilot responsible for dropping supplies to firefighters. He/she must describe the principles of physics that are exhibited in the behavior of the falling objects as well as a formula that can express it in a function.

Print Materials Needed:

Resources:

Resource Attachments:

Internet Resource Links:
Link 1: http://
Link 2: http://
Link 3: http://
Link 4: http://
Link 5: http://

Notes:

Student Directions:
You are a helicopter pilot responsible for dropping supplies to firefighters fighting a large fire in New Mexico. Prepare a training guide for a new pilot that you are training, describing the principles of physics that are exhibited in the behavior of the falling objects as well as the formula that can express it in a function.

Your report should be accurate and complete.

Other assessment evidence to be collected:

Stage 3: Plan Learning Experiences and Instruction

Learning Activities:

W
Discuss with student's their knowledge of linear equations.
Post essential questions.

H
Simulation. Students will look at the cost of the production of rap and rock music and compare that information to the sales price of the two types of music, looking for relationships that can be expressed in functions.

E
Unit Lessons (Algebra & Trigonometry Book 2 p. 139 -151.


R Review the Hook simulation to compare their understanding.

E
The student is a helicopter pilot responsible for dropping supplies to firefighters. He/she must describe the principles of physics that are exhibited in the behavior of the falling objects as well as a formula that can express it in a function.