Discrete Scenarios in Graphs
9
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M
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The graph of which of following scenarios would be discrete?
Discrete means isolated points (cannot be points in between; whole numbers only: no fractions or
decimals)
A The height h, in inches, of a student depends on the student’s age, a, in
years.
B The time t, in seconds, it takes a runner to finish a race depends on the
distance in miles m of the race.
C The number of students taking a test n depends on the number of students
in the class c.
D The length l, in feet, of a walkway depends on the number of bricks b used.
9/28 Objective
I will be able to identify and
represent patterns that
describe linear functions.
9/28 Concept Builder
X Factor:
# of Triangles
Y Factor:
Perimeter
Journal: page 50
Finding an Equation Given X and Y values:
STAT
ENTE
R
Put
x values
here
Put
y values
here
2nd
y =
ENTE
R
ENTE
R
ZOO
M
9
STEP 1:
Calculator Commands
STEP 2: Input values
STEP 3: turn on stat plots
STEP 4: to graph
ZoomStat
STEP 5: Determine if it looks like a
LINE
, a
U,
or a
RAMP
?
LINE: LINEAR
STAT
CALC
4
LinReg (ax+b)
Calculate
U: QUADRATIC
STAT
CALC
5
QuadReg
Calculate
RAMP: EXPONENTIAL
STAT
CALC
0
ExpReg
Calculate
ENTE
R
ENTE
R
ENTE
R
Store RegEQ:
Store RegEQ:
Store RegEQ:
ALPHA
TRACE
ENTE
R
ALPHA
TRACE
ENTE
R
ALPHA
TRACE
ENTE
R
9/28 Concept Builder
Journal: page 51
use STAT ENTER handout
T
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Record your answer here:
Write a function rule for the area of
a rectangular picture frame that has
a width of 22 in. less than its length.
Use the function rule to find the area
of the picture frame when the length
is 39 in.
Show your work.
9/29 Objective
I will be able to identify and
represent patterns that
describe linear functions.
R
R
E
E
L
L
A
A
T
T
I
I
O
O
N
N
any set of
ordered pairs
9/28 Concept Builder
Journal: page 51
use STAT ENTER handout
9/29 Assignment
STAT ENTER Practice
Worksheet Questions 1-6
Finding an Equation Given X and Y values:
STAT
ENTE
R
Put
x values
here
Put
y values
here
2nd
y =
ENTE
R
ENTE
R
ZOO
M
9
STEP 1:
Calculator Commands
STEP 2: Input values
STEP 3: turn on stat plots
STEP 4: to graph
ZoomStat
STEP 5: Determine if it looks like a
LINE
, a
U,
or a
RAMP
?
LINE: LINEAR
STAT
CALC
4
LinReg (ax+b)
Calculate
U: QUADRATIC
STAT
CALC
5
QuadReg
Calculate
RAMP: EXPONENTIAL
STAT
CALC
0
ExpReg
Calculate
ENTE
R
ENTE
R
ENTE
R
Store RegEQ:
Store RegEQ:
Store RegEQ:
ALPHA
TRACE
ENTE
R
ALPHA
TRACE
ENTE
R
ALPHA
TRACE
ENTE
R
W
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n
e
s
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9
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Test today.
No Warm Up.
horizontal represents
X VARIABLE
vertical represents
Y VARIABLE
Remember ordered pairs are ( x , y ).
Always in that order.
9/30 Objective
I will demonstrate my
mastery of Topic 1 by
scoring 70 or more on the
topic test.
9/30 Assignment
Topic 2-1 through 2-3 Test
•
use notes
•
use STAT ENTER chart
•
use calculator
10/1 Warm Up Part 1
10/1 Warm Up Part II
10/1 Announcement
10/1 Objective
I will match graph to real
world situation.
10/1 Assignment
Graphing Bingo
10/2
Early Release Day
Classes did not meet.
10/2 Objective
I will demonstrate my
mastery of Topic 1 by
scoring 70 or more on the
topic test.
The scenarios where the height of a student depending on age, time taken in a race depending on distance, number of students taking a test depending on class size, and length of a walkway depending on number of bricks are analyzed to determine which would result in a discrete graph with isolated points. The concept of discrete data with whole numbers only is explained within these scenarios.
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Presentation Transcript
9/28 9/28: Warm : Warm Up The graph of which of following scenarios would be discrete? Up Monday Monday Discrete means isolated points (cannot be points in between; whole numbers only: no fractions or decimals) A The height h, in inches, of a student depends on the student s age, a, in years. B The time t, in seconds, it takes a runner to finish a race depends on the distance in miles m of the race. C The number of students taking a test n depends on the number of students in the class c. D The length l, in feet, of a walkway depends on the number of bricks b used.
9/28 Objective 9/28 Objective I will be able to identify and represent patterns that describe linear functions.
9/28 Concept Builder 9/28 Concept Builder Journal: page 50 Y Factor: Perimeter X Factor: # of Triangles
Finding an Equation Given X and Y values: ENTE R STEP 1: Calculator Commands STAT STEP 2: Input values Put y values here Put x values here ENTE R ENTE R 2nd y = STEP 3: turn on stat plots ZOO M 9 ZoomStat STEP 4: to graph STEP 5: Determine if it looks like a LINE, a U, or a RAMP? LINE: LINEAR U: QUADRATIC RAMP: EXPONENTIAL STAT STAT CALC CALC STAT CALC 4 5 LinReg (ax+b) QuadReg 0 ExpReg Store RegEQ: Store RegEQ: Store RegEQ: ALPHA TRACE ALPHA TRACE ALPHA TRACE ENTE R ENTE R ENTE R Calculate Calculate Calculate ENTE R ENTE R ENTE R
9/28 Concept Builder 9/28 Concept Builder Journal: page 51 use STAT ENTER handout
Tuesday 9/29 Warm Up Tuesday 9/29 Warm Up Record your answer here: Write a function rule for the area of a rectangular picture frame that has a width of 22 in. less than its length. Use the function rule to find the area of the picture frame when the length is 39 in. Show your work.
9/29 Objective 9/29 Objective I will be able to identify and represent patterns that describe linear functions.
RELATION RELATION any set of ordered pairs
9/28 Concept Builder 9/28 Concept Builder Journal: page 51 use STAT ENTER handout
9/29 Assignment 9/29 Assignment STAT ENTER Practice Worksheet Questions 1-6
Finding an Equation Given X and Y values: ENTE R STEP 1: Calculator Commands STAT STEP 2: Input values Put y values here Put x values here ENTE R ENTE R 2nd y = STEP 3: turn on stat plots ZOO M 9 ZoomStat STEP 4: to graph STEP 5: Determine if it looks like a LINE, a U, or a RAMP? LINE: LINEAR U: QUADRATIC RAMP: EXPONENTIAL STAT STAT CALC CALC STAT CALC 4 5 LinReg (ax+b) QuadReg 0 ExpReg Store RegEQ: Store RegEQ: Store RegEQ: ALPHA TRACE ALPHA TRACE ALPHA TRACE ENTE R ENTE R ENTE R Calculate Calculate Calculate ENTE R ENTE R ENTE R
Wednesday 9/30 Warm Up Wednesday 9/30 Warm Up Test today. No Warm Up.
vertical represents Y VARIABLE horizontal represents X VARIABLE Remember ordered pairs are ( x , y ). Always in that order.
9/30 Objective 9/30 Objective I will demonstrate my mastery of Topic 1 by scoring 70 or more on the topic test.
9/30 Assignment 9/30 Assignment Topic 2-1 through 2-3 Test use notes use STAT ENTER chart use calculator
10/1 Warm Up Part 1 10/1 Warm Up Part 1
10/1 Warm Up Part 10/1 Warm Up Part II II
10/1 Announcement 10/1 Announcement
10/1 Objective 10/1 Objective I will match graph to real world situation.
10/1 Assignment 10/1 Assignment Graphing Bingo
10/2 10/2 Early Release Day Classes did not meet.
10/2 Objective 10/2 Objective I will demonstrate my mastery of Topic 1 by scoring 70 or more on the topic test.
