      3-1 Arithmetic Operations on Functions    Home Resume Classroom Organization and Management Plan Candidate's Statement Contact Inormation Other Interests Help for Students Ithaca High School Lesson Plans Chapter 3 (PDM)

Lesson Plan 3-1: Arithmetic Operations on Functions

Content Standards and Benchmarks:

I,2,3: Expand their understanding of functions to include non-linear functions, composition of functions, inverses of functions, and piecewise and recursively defined functions.

I,2,6: Increase their use of functions and mathematical models to solve problems in context.

Objective:

After reading the lesson the night before, and hearing my short lecture regarding arithmetic operations on functions, students will be able to use arithmetic operations on functions to derive equations which model realistic situations.

Students will also be able to graph functions obtained from applying arithmetic operations to the functions.

# Anticipatory Set:

Warm-up: NO CALCULATORS PLEASE!

Functions can do some CRAZY things! See what I mean?

1.     What is the shape of the function that results when you add these two functions together?

f(x) = sin(x)       and g(x)  =.5x

2.     If h(x) = f(x)g(x) what are some properties of h(x) when f(x) = x and g(x)= sin x?

Input: “This is what you need to know.”

v    Simplify arithmetically modified equations.

v    Where is it defined/undefined?

“Any questions?”

Modeling:

v    Answer student questions from the night before.

v    Tie in today’s objectives with the questions that are asked.

Guided Practice:

v    As the students get more comfortable with the content, I will ask them to lead me through the problems.

v    I may even ask student to come up to the board to do that other students are confused about problems.

Independent practice:

v      Students will be assigned lesson 3-2 to read and do the C.A.R. problems for the next day.

Closure:

v      “If you could say there were three important things to remember from today’s lesson, what would they be?”

Ø              How to add functions graphically

Ø              How to add functions algebraically

Ø              Simplify arithmetically synthesized

functions

Ø              Know where the resulting function is defined and undefined If you have any questions regarding the lesson, please don't hesitate to contact me. My e-mail address is at the bottom of each page on this site. I am also available before school, during SST, and after school.   13931 Bass Lake View Court - Gowen, MI 49326 - (616) 263-0100 - kateypeacock@hotmail.com  