
Alg2 Lesson 3.7: Rational Function
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
+13
Standards-aligned
Monica Ramirez
Used 1+ times
FREE Resource
23 Slides • 12 Questions
1
Lesson 3.7: Rational Functions
Obj: I can formulate and graph rational functions.
EQ: How do I use asymptotes to graph rational functions?
How do I formulate rational equations given a verbal
description?
2
Roles:
Facilitator
Scribe
Resourcer
Includer
Lesson Goals:
● Creative Thinking
● Talk through controversies and conflict
● Recognize and reduce ambiguity
● Encourage thinking based on formulas and prior info
● Help explain ideas to each other
● Own your ideas and work
● Record ideas in your journal
● Answer Questions on Slides
● Follow your team roles
3
Facilitator
• Make sure that all peers are staying on task.
• Give advice or suggestions to resolve the problem.
• Be sure everyone is able to explain.
4
Scribe
• Make sure peers organize their results on their own papers.
• Remind peers to use color, arrows, and other math tools to
communicate your mathematics, reasons, and connections.
• Be ready to join the teacher for a huddle.
5
Resourcer
• Make sure peers are getting the materials needed.
• Make sure that all materials are put away neatly.
• Make sure that peers are logged in to the needed site.
• Help troubleshoot any technology difficulties that may arise.
6
Includer
• Make sure that all peers are talking about their work.
• Helps keep peers’ voice volume low.
• Encourages everyone to ask questions.
• Communicates conflicts or questions to the teacher.
7
● Check off tasks & skills on calendar.
● Select skills to work on.
● Work on Deltamath.
Remember to work on the following too…
8
Poll
What is your goal for this lesson?
Learn more about fractions.
Gain a greater interest in cooking.
To get a 100 1st try.
To cultivate a love for reading.
9
Part 1: Formulate Rational
Functions from Word Problems
10
Fill in the Blanks
A group of 6 friends shared a pizza equally. If there were ¾ of the pizza left after
they each took a slice, how many slices were in the pizza originally?
11
Multiple Choice
If 3/5 of a garden is planted with carrots and 1/4 is planted with strawberries, what
fraction of the garden is not planted?
5/9
12
13
14
Multiple Choice
If a recipe calls for 3/4 cup of flour and you want to make half of the recipe, how
much flour do your need?
6/4 cups of flour
3/8 cup of flour
15
16
Fill in the Blanks
The volume V of gas varies inversely to the pressure P. The volume of a gas is 200 cm3 under pressure of 32 kg/cm2. What will be its volume under pressure of 40 kg/cm2?
17
18
Multiple Choice
Jenny’s mom says she has an hour before it’s bedtime. Jenny spends 3/5 of the hour texting a
friend and 3/8 of the remaining time brushing her teeth and putting on her pajamas. She spends
the rest of the time reading her book. How long did Jenny read?
19
20
Fill in the Blanks
Working together, Joe and Dan can sweep a porch in 4.8 minutes. Had he done it alone it would have taken Dan 12 minutes. Find how long it would take Joe to do it alone.
21
22
Multiple Choice
9 kg of generic sugar was made by combining 6 kg of brand X sugar which costs $4/kg with 3 kg of brand Y sugar which costs $1/kg. Find the cost per kg of the mixture.
$2.50/kg
$6/kg
23
24
Word Cloud
Where would you like to travel to?
25
Part 2: Characteristics of
Rational Functions
26
From Graph
27
From Graph
28
From Equation
29
Labeling
Find the coordinate of each hole.
3
-2
4
1
-4
1/11
30
Labeling
Find each vertical asymptote.
w = ± 4
q = 1
t = 2
t = 5/7
w = ±2
none
31
Labeling
Find each horizontal asymptote.
y = 4
y = 1
y = 0
none
y = -1
32
Part 3: Formulate Rational
Functions from Graph
33
Form: y = a/(x - h) + k
h is the vertical asymptote
k is the vertical asymptote
Identify a point to plug into
equation to solve for a.
34
Random Question of the Day Time
https://wheelofnames.com/4ke-epz We’ll spin the
wheel as a class and spend a minute or so
discussing our answers.
35
Lesson 3.7: Rational Functions
Obj: I can formulate and graph rational functions.
EQ: How do I use asymptotes to graph rational functions?
How do I formulate rational equations given a verbal
description?
Show answer
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