1. MS Algebra A-F-IF-6 – Ch. 5.5b Finding the Rate of Change
ALGEBRA SUPPORT
Finding the Rate of Change

2. SUPPORT Class Learning Target
Title: 5.5b Find Rate of Change
Date:
SUPPORT Class Learning Target
By the end of the period, I will find the rate of change of various intervals in given graphs.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

3. Home Work 1-2-3: 1) Class 4-Square Notes Put In Binder?
2) Section 5.5 Pg ) Section ______
TxtBk. Prob.#31,32,33,35,38 Notes Copied on blank sheet Solved and Put in Binder? of paper in Binder?
Table of Contents
Date Description Date Due

4. HW # 31
Use the graph, which shows the distance traveled by a car during a 2 hour drive
The slope of each line segment gives the car’s speed, which is the rate of change in distance traveled with respect to time. Find the car’s speed during the first hour.
(2, 100) y
100 80 60 40 20
(1, 60)
(0,0) x
Time(hr.)
STEP 1) Choose 2 points
( , ) and ( , )
STEP 2)
Make a table of points x y
STEP 3)
Find the difference
Find the difference - -
STEP 4)
Make a fraction with the values from STEP 3. m= = = =
 denominator
 numerator 4

5. HW # 32
Use the graph, which shows the distance traveled by a car during a 2 hour drive
Find the car’s speed during the second hour.
(2, 100) y
100 80 60 40 20
(1, 60)
(0,0) x
Time(hr.)
STEP 1) Choose 2 points
( , ) and ( , )
STEP 2)
Make a table of points x y
STEP 3)
Find the difference
Find the difference - -
STEP 4)
Make a fraction with the values from STEP 3. m= = = =
 denominator
 numerator 5

6. The car travels faster in the _______ hour.
HW # 33
Use the graph, which shows the distance traveled by a car during a 2 hour drive
During which hour is the car traveling faster? How does the graph show this?
(2, 100) y
100 80 60 40 20
The car travels faster in the _______ hour.
(1, 60)
(0,0) x
Time(hr.)
The graph shows this because_______
_______________________________
______________________________. 6

7. Storm Check (Think, Write, Discuss, Report)
How do you find the slope for a given region of a graph? (3 or 4 sentences)
To find the slope for a given region of a graph, I
have to ________________________________
___________________________________________
__________________________________________.

8. The kiln showed the greatest rate of change between________and_______
HW # 35
Determine the time interval when the temperature in the kiln showed the greatest rate of change.
(8.95, 1920)
Firing a piece of pottery in a kiln takes place at different temperatures for different amounts of time. The graph shows the temperatures in a kiln while firing a piece of pottery.
(after the kiln is preheated to 250⁰F)
(4.65, 1680)
Temp(F)
(2.5, 1300)
1500
1000
500
(1.5, 1000)
(0,250)
Time(hr.)
The kiln showed the greatest rate of
change between________and_______
because________________________. 8

9. The kiln showed the least rate of change between________and_______
HW # 35
Determine the time interval when the temperature in the kiln showed the least rate of change.
(8.95, 1920)
Firing a piece of pottery in a kiln takes place at different temperatures for different amounts of time. The graph shows the temperatures in a kiln while firing a piece of pottery.
(after the kiln is preheated to 250⁰F)
(4.65, 1680)
Temp(F)
(2.5, 1300)
1500
1000
500
(1.5, 1000)
(0,250)
Time(hr.)
The kiln showed the least rate of
change between________and_______
because________________________. 9

10. Which statement about the graph is true?
HW # 38
Determine the time interval when the temperature in the kiln showed the least rate of change.
The graph shows the number (in thousands) of undergraduate students who majored in biology, engineering, or liberal arts in the U.S. from 1990 to 2000.
Which statement about the graph is true?
─- Engineering
─- Biology
─- Liberal Arts 90 80 70 60 50 40 30
Students (thousands)
‘90 ‘92 ‘94 ‘96 ‘
Year
For the period , the major with the greatest rate of change in students was liberal arts.
For the period , the major with the least rate of change in students was engineering.
For the period , biology had a negative rate of change in students.
For the period , liberal arts had a negative rate of change in students. 10

11. Vocabulary – Rate of Change
Slope
Rise
Run
Slope-Intercept Form
Point-Slope Form

12. Vocabulary Acquisition
Friendly Definition
Sketch
Wordwork
Sentence
DAY 2
1. Review word
Friendly Definition
Physical Representation
2. Draw a sketch
DAY 1
Use Visuals
Introduce the word
Friendly Definition
Physical Representation
Use Cognates
Write friendly definition
Word List
Vocabulary Acquisition
DAY 3 and/or DAY 4
1. Review the word
Friendly Definition
Physical Representation
2. Show how the word works
Synonyms/antonym
Word Problems
Related words/phrases
Example/non-example
DAY 5
1. Review the word
Friendly definition
Physical Representation
3. Write a sentence
at least 2 rich words (1 action)
correct spelling
correct punctuation
correct subject/predicate agreement
clear and clean writing

13. Rate of Change
Notes:
A Rate of Change compares a change in one quantity to a change in another quantity.
SLOPE and RATE of CHANGE You can interpret the slope of a line as a rate of change. When given graphs of real-world data, you can compare rates of change by comparing slopes of lines.

14. Storm Check (Think, Write, Discuss, Report)
What are the four types of slope?
The four types of slope are:
___________________ 2) ________________
3) _________________ 4) ________________

15. Storm Check (Think, Write, Discuss, Report)
What are the four types of slope?
The four types of slope are:
Positive ) Negative
3) Zero (horizontal) ) Undefined (vertical)

16. Storm Check (Think, Write, Discuss, Report) Questions on which to ponder and answer:
How are the two images similar?
How are they different?
How can these two images be related to math?
IMAGE 1
IMAGE 2

17. Title: 5.5b Find Rate of Change
Date:
Learning Target
By the end of the period, I will find the rate of change of various intervals in given graphs.
I will demonstrate this by completing Four-Square Notes and by solving problems in a pair/group activity.

18. ____________________________
CHALLENGE
Interpret a graph
COMMUTING TO SCHOOL
A student commutes from home to school by walking and by riding a bus. Describe the student’s commute in words.
(3-4 sentences)
____________________________