Tiffany
Dawdy
CAMELBACK HIGH SCHOOL,
PHOENIX,
AZ

12th Grade Math :
Unit #3 - Rational Functions and Equations :
Lesson #6

Objective:
SWBAT simplify complicated radical expressions to graph the function as a shift of y=1/x.

1 Warm-up: Homework Quiz -
10 minutes

For the first 8-10 minutes of class today students I will have students complete their Homework Quiz over Homeworks #1-3 from last week.

resources

Flipchart - Shifting Rational Functions (p. 1).pdf

https://betterlesson.com/lesson/resource/1952603/flipchart-shifting-rational-functions-p-1-pdf
Flipchart - Shifting Rational Functions.flipchart

https://betterlesson.com/lesson/resource/1952606/flipchart-shifting-rational-functions-flipchart
2 Explanation: Shifting Rational Functions -
35 minutes

Rationalized Transformations, video narrative, explanation.MP4

https://betterlesson.com/lesson/section/2471/rationalized-transformations-shifting-rational-functions
resources

Flipchart - Shifting Rational Functions (p. 2-12).pdf

https://betterlesson.com/lesson/resource/1952604/flipchart-shifting-rational-functions-p-2-12-pdf
3 Closure: Clicker Questions -
5 minutes

To help students wrap-up today’s learning and demonstrate their current understandings, I have students answer the Clicker Questions questions on page 13-15 of today’s Flipchart. The question on page 13 assesses today’s new learnings, while giving students an opportunity to apply the new vocabulary word, asymptote. The questions on page 14-15 are a stretched version of the parent function. For the question on page 14, I plan to just have students answer it based on their knowledge of asymptotes and shifting. Then, I will talk a bit about the stretch factor of 2. For the next question, I will encourage students to use their knowledge of shifting to eliminate some answers. Answers 1 and 4 will probably both appear correct to students as they both have the correct shift. Then, I will encourage students to use a test point to find the correct answer. Testing when x=2 works great!

resources

Flipchart - Shifting Rational Functions (p. 13-15).pdf

https://betterlesson.com/lesson/resource/1952605/flipchart-shifting-rational-functions-p-13-15-pdf
4 Homework -
1 minutes

I plan to assign Homework 4 - Rational Functions for the students to begin working on this evening.

resources

Homework 4 - Rational Functions.docx

https://betterlesson.com/lesson/resource/1952607/homework-4-rational-functions-docx