Transcript Relating Number Sequences to Graphs

Relating Number Sequences to
Graphs
October 26, 2007
Ms. Manaktola
Meet Homer Simpson
• Homer’s neighbour’s
name is Ned Flanders.
• Ned is going to Florida
for a week, and he has
hired Homer to water
his plants.
The Options
• Homer has a choice. He
can:
– Receive $10 each day for
payment, OR
– Receive $5 on the first day,
$10 on the second day, $15
on the third day, and so on.
Which option will give Homer the
greatest total earnings?
Comparing the Options
•Let’s use tables to compare the two options:
–OPTION 1: $10 each day
Day
Number
1
2
Payment on
This Day
$10
$10
Total Earnings
3
$10
$30
$10
$20
• Can you describe the pattern using words or
an algebraic expression?
Comparing the Options
–OPTION 2: $5 on the 1st day, $10 on the 2nd
day, $15 on the 3rd day, and so on.
Day
Number
1
2
3
Payment on
This Day
$5
$10
$15
Total Earnings
$5
$15
$30
• Can you describe the pattern using words or
an algebraic expression?
How Can We Compare the Two
Options Easily?
Total Earnings For Two Payment
Options
Total Earnings
$140
$120
$100
$80
$60
$40
$20
$0
0
1
2
3
4
5
Day Number
Option 1
Option 2
6
7
Try It Yourself!
• Your task:
– In your groups, you will be given a
problem.You must:
• Use a table to organize the information
• Describe the pattern using words and
algebraic expressions
• Graph the patterns using a scatter plot
Group Roles
• Assign roles for each of the group
members:
– Recorder(s) for
• Table
• Algebraic Expression
• Graph
– Presenter
– Facilitator/Timer