
Alg1 Lesson 1.7 Slope as a Rate of Change
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Medium
+7
Standards-aligned
Monica Ramirez
Used 5+ times
FREE Resource
18 Slides • 16 Questions
1
Lesson 1.7: Slope as a Rate of Change
Obj: 2C, 3A, 3B, 3C, (3E): I can find the slope from
graphs, tables, points, and equations.
EQ: How do I find the slope given a verbal
description?
2
Roles:
Facilitator:
Scribe
Resourcer
Includer
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.
• Communicates conflicts or questions to the
teacher.
7
Poll
What is your role today?
Facilitator
Scribe
Resourcer
Includer
8
Part 1: Connecting Arithmetic
Sequences and Direct Variation
9
In your Journal…
10
Fill in the Blanks
By how much does the trucker’s distance from the warehouse increase every hour?
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Multiple Choice
What is the rate of change of the sequence?
miles per hour
hours per mile
12
Multiple Choice
What does the rate of change represent?
The time it takes to get to destination
The truck's speed
The highway's speed limit
The perimeter of the warehouse
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In your Journal…
How can we figure out how far away from the warehouse the trucker will be the next hour?
Use 65 mph, miles this hour and miles next hour in your formula.
(This rate of change is also a unit rate since the input is changing by 1)
14
Multiple Choice
If the truck continues traveling at the same rate for 2 more hours, how many more miles will the distance from the warehouse increase?
60 miles since 15*4 = 60
290 miles since 145*2 = 290
130 miles since 65*2 = 130
15
Fill in the Blanks
What if the trucker continues at the same rate for 3 more hours?
16
Fill in the Blanks
What if the trucker continues at the same rate for 4 more hours?
17
Multiple Choice
In general, if the trucker continues at the same rate for h more hours, how could we calculate how much farther away she will be?
D = 65h
D = 15h
D = 15h + 80
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Multiple Choice
In general, if the trucker continues at the same rate for h more hours, how could we calculate the distance from the warehouse D?
D = 65h + 15
D = 15h + 65
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Change in h is the
same as Δh
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Part 2: Extending the Slope Formula
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In Your Journal…
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Fill in the Blanks
What is the slope value of this line?
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Multiple Choice
What does the slope of this line represent for the scenario? (What are the units?)
Mile markers per hour
Hours per Mile markers
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Multiple Choice
What mile marker was Sam at when he had been traveling for 3 hours?
309
251
370
135
25
Fill in the Blanks
If Sam were to travel for 8 hours, how many mile markers would he expect to pass?
26
In your Journal…
How can we calculate what mile marker Sam would expect to see in terms of how many hours he has been on the road trip?
27
Multiple Choice
What formula can be used to represent the mile marker Sam has reached?
M = 58h - 135
M = 135h + 58
M = 58h + 135
M = 135h - 58
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Multiple Choice
Use your method to determine what mile marker Sam should have passed after traveling for 30 minutes.
164 mile markers since 58(0.5) + 135 = 164
1,875 mile markers since 58(30) + 135 = 1875
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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.
30
Part 3: Summary & Practice
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Work with a Partner on the 1.7.C Handout
Write out your thinking for each question.
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Open Ended
Upload a picture of your journal for this lesson here.
33
● Go to your calendar paper.
● Select a skill to work on independently or with a partner. (A foldable)
● Work on Unit 1 Deltamath.
Self-Acquisition Time
34
Lesson 1.7: Slope as a Rate of Change
Obj: 2C, 3A, 3B, 3C, (3E): I can find the slope from
graphs, tables, points, and equations.
EQ: How do I find the slope given a verbal
description?
Show answer
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