## Reflection: Student Ownership Composition of Functions, Day 1 of 2 - Section 1: Bell Work

As students worked on the bell work one student said that the best option for the store depended on the total purchase price. I asked the student to explain what he meant. He then stated that there will be a point where the 2 methods will be the same. My response was okay can you find the amount where the 2 methods will be the same. The student worked for most of the bell time on finding the price. At first I thought the student would say \$10 since that is the amount off.

It surprised me that a student would think that the 2 prices could be equal but this also shows how to take a students idea and require the student to verify his ideas. This student was very interested and engaged when we generalized and showed that the difference between the 2 discount methods would only be \$3.

I let the student continue to work and came back to this student just before we generalized the methods. I ask the student if he had found where the amounts were the same. The student said he had not found the amount but was close. This conversation allowed me to ask if we could try and use some algebra to find the amount where they were equal and then move on to the generalization of the situation.

I ask the class if we have made an assumption about the domain in this situation and they responded that we need to have bought more than \$10 since the store will not give us money back on the certificates.

Student Ownership: Allowing students to test ideas

# Composition of Functions, Day 1 of 2

Unit 2: Functions and Piecewise Functions
Lesson 8 of 15

## Big Idea: By using graphs, tables, equations and real world problems students use function composition to solve problems

Print Lesson
8 teachers like this lesson
Standards:
Subject(s):
Math, modeling, Precalculus and Calculus, composition of functions, function, PreCalculus, interpreting functions in context, function
40 minutes

### Katharine Sparks

##### Similar Lessons

###### Functioning with Functions: Unit Assessment
12th Grade Math » Functioning with Functions
Big Idea: Assess students' understanding of functions.
Favorites(0)
Resources(7)
Troy, MI
Environment: Suburban

###### Fun with Functions: Basic Inverse and Function Operations
12th Grade Math » Basic Functions and Equations
Big Idea: Students learn different function operations with a colorful teacher-led presentation that engages students with tons of practice.
Favorites(17)
Resources(22)
Phoenix, AZ
Environment: Urban