OBJECTIVES
The student will be able to:
1. complete a table
of values using information given
2. enter data into tables
on the graphing calculator
3. graph data on the
graphing calculator
3. interpret the information
shown on a graph
4. evaluate the meaning
of a particular point on a graph
5. create an individual
table of data to graph and interpret
BENCHMARKS
A.1, A.3, A.4, M.4, G.3, D.1, D.5, D.7, D.9
TIME FRAME
2-3 class periods
CURRICULUM INTEGRATION
word problems, plotting ordered
pairs, independent and dependent variables, interpreting
graphs, line and bar graphs,
basic arithmetic operations
MATERIALS
TI-83 Graphing Calculators
TI-83 View Screen
Transparency of Data Tables
Group Activity Worksheets
(see attached)
APPLICATIONS
reading graphs in newspapers
and magazines, accumulating data and evaluating it, stock
market or business trends
STUDENT GROUPINGS
Individuals or Pairs, Groups of Four
Understanding Word Problems
Learning the Keystrokes for
the Graphing Calculator
Interpreting Graphs
Group Activity: Each
individual student in the group is required to complete the activity
worksheets
given that day will be graded on the number correct. The students
will also
have
an opportunity to grade every group member
(including themselves) on a scale of 1 to
5.
These points will also be incorporated into
the grade.
1. Have a table of data
on the overhead. Teach the students the basic keystrokes to enter
the data into List 1 and List 2 under the STAT mode. Show the
students how to turn
on STAT PLOT and change the settings. Discuss and change the
window settings.
Graph the information.
2. Place a word problem
on the overhead with a partially completed table. Have the students
attempt to complete the table individually then discuss as a group.
Guide the students in
completing List 1 and List 2, changing the windows and graphing.
3. Looking at the graph,
introduce the terms independent and dependent variables. Ask
probing questions about the meaning of the graph. Pick one or more
sets of ordered
pairs on the graph and discuss the meaning of the graph at that particular
point.
5. While the students
are graphing the data and answering the questions, walk around the
room and make sure to check each individual students graphing calculator
to make sure
they understand the proper keystrokes.
6. Give the students a journal prompt about the inportance of what they just learned.
DAY 2-3 ( students work in groups of four)
1. Give a brief review of the keystrokes involved in entering the data into the calculator.
2. Divide the students into groups, distribute the handout and let them begin.
3. While the students
are working, walk around to each group checking their graphs and
asking even more probing questions.
4. When all groups are
finished, come back together as a whole group to discuss the
assignment and to let the students communicate any interesting facts found.
INTRODUCING THE GRAPHING CALCULATOR
Directions: Read the word
problem and complete the table of data if necessary. Enter
that data into the graphing calculator and graph. THE TEACHER MUST
SEE
YOUR GRAPH AND INITIAL YOUR HANDOUT! Use the graph to answer the
indicated questions.
1. A shoe store is having a sale.
The first pair of shoes sells for $40.00. The second
pair
sells for half of that price, or $20.00. The third pair sells for
half of that, or
$10.00.
a. Complete the table
# of pairs of shoes
TOTAL cost
1
$40.00
2
$60.00
3
4
5
b. Enter the data
into List 1 and list 2, change the window, and graph
TEACHER'S INITIALS_____________________________
c. Name 2 sets of
ordered pairs from the graph and explain their meaning.
_________________________________________________________
__________________________________________________________
d. As you read the
graph from left to right, describe the trend that you see.
__________________________________________________________
__________________________________________________________
2. The following table represents
the amount of money raised by the Muscular
Dystrophy Association over a 14 year period.
Year
Dollars(Millions)
1981
32
1983
27
1985
35
1987
36
1989
40
1991
42
1993
45
1997
47
a. Enter the data
in List 1 and List 2, change the window, and graph
TEACHER'S INITIALS_______________________________
b. Which is the dependent
and which is the independent variable?
____________________________________________________
c. What does the ordered
pair (1991, 42) represent?
____________________________________________________
d. Write a statement
about the money raised from 1981 to 1986.
_____________________________________________________
______________________________________________________
3. A plane is landing from an altitude
of 35,000 feet. The plane is descending at 3,200
feet/minute.
a. Complete the table
Time of Descent(seconds)
Altitude(feet)
0
35,000
1
2
3
4
b. Enter the data
into List 1 and List 2, change the window, and graph
TEACHER'S INITIALS_________________________________
c. Predict what will
happen when the plane has descended for 11 seconds.
_______________________________________________________
d. Do you think that
this graph is an accurate representation of a plane descending?
Why or why not? _________________________________________
_______________________________________________________
e. Which is the dependent
and which is the independent variable?
_________________________________________________________
4. The following table describes the development of a normal human fetus.
Time(weeks)
Mass(grams)
4
0.5
8
1
12
28
16
110
20
300
24
650
28
1200
a. Enter the data
into List 1 and List 2, change the window, and graph
TEACHER'S INITIALS_________________________________
b. Describe the growth
by looking at the graph.
______________________________________________________
______________________________________________________
c. What does the ordered
pair (12, 28) mean?
______________________________________________________
d. Predict what the
weight of the fetus will be at 32 weeks. Why?
_______________________________________________________
5. a. As a group, develop your
own set of data and give a written explanation.
b. Enter the data
into List 1 and List 2, change the window and graph
TEACHER'S INITIALS_________________________________