Amelia
Jamison
VALLIVUE HIGH SCHOOL,
CALDWELL,
ID

Algebra II :
Unit #7 - Rational Functions :
Lesson #8

Objective:
Students will be to multiply and divide rational expressions.

1 Warm up and Homework Review -
10 minutes

I include **Warm ups** with a **Rubric** as part of my daily routine. My goal is to allow students to work on **Math Practice 3** each day. Grouping students into homogenous pairs provides an opportunity for appropriately differentiated math conversations. The Video Narrative explains this lesson’s Warm Up- Multiplying and Dividing Rational Expressions which asks students to determine whether a rational expression as been properly simplified.

I also use this time to correct and record the previous day's Homework.

resources

Warm Up- Multiplying and Dividing Rational Expressions.docx

https://betterlesson.com/lesson/resource/2144484/warm-up-multiplying-and-dividing-rational-expressions
Multiplying and Dividing Rational Expressions, Video Narrative, Warm Up.mp4

https://betterlesson.com/lesson/resource/2221184/multiplying-and-dividing-rational-expressions-video-narrative-warm-up
2 Modeling Multiplication and Division of Rational Expressions -
15 minutes

This lesson begins with an area application of multiplying and dividing rational expressions (**Math Practice 4**).

*Advertisements can be purchased in the year book. You want to buy one where your image has one side that is three inches longer than the other.*

The students begin by finding the area of this advertisement. I then tell them that this advertisement turned out to be much too expensive so the image is going to be shrunk to where each side is half the original. I will give this problem to the students and then walk around and pick students to put their solutions on the board. This can be found both visually and algebraically.

Finally, I ask them if the costs of the advertisements are based on the area, what portion of the original cost will the new advertisement be? I also ask them to prove it algebraically (**Math Practice 2**). This is the key to the task as it provides them their first experience dividing rational expressions.

resources

PowerPoint- Multiplying and Dividing Rational Expressions.pptx

https://betterlesson.com/lesson/resource/2144530/powerpoint-multiplying-and-dividing-rational-expressions
3 Multiplying and Dividing Rational Expressions Guided Practice -
23 minutes

The remainder of this lesson is a **Guided Practice** on multiplying and dividing Rational Expressions. Students can use their graphing calculator to graphically simplify in any way that works for them if they choose and I will ask students to share these. Please see the PowerPoint for specifics.

resources

Guided Practice- Multiplying and Dividing Rational Expressions.pdf

https://betterlesson.com/lesson/resource/2937173/guided-practice-multiplying-and-dividing-rational-expressions
4 Exit Ticket -
2 minutes

I use an exit ticket each day as a quick formative assessment to judge the success of the lesson.

Today's Exit Ticket asks students to divide two rational expressions.

resources

Exit Ticket- Multiplying and Dividing Rational Expressions.PNG

https://betterlesson.com/lesson/resource/2908485/exit-ticket-multiplying-and-dividing-rational-expressions
5 Homework -
0 minutes

This short assignment begins with several practice problems to reaffirm the students' skills. The final problem asks them to find the mistake in a simplified expression and explain how to fix it (**Math Practice 3**). This error is the most common error that I have seen when dealing with rational expressions.

This assignment was created with Kuta Software, an amazing resource for secondary mathematics teachers.

resources

Assignment - Multiplying and Dividing Rational Expressions.pdf

https://betterlesson.com/lesson/resource/2144712/assignment-multiplying-and-dividing-rational-expressions