Rationalized Transformations: Shifting Rational Functions
Lesson 6 of 12
Objective: SWBAT simplify complicated radical expressions to graph the function as a shift of y=1/x.
Warm-up: Homework Quiz
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.
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!