relating number sequences to graphs
DESCRIPTION
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 - PowerPoint PPT PresentationTRANSCRIPT
Relating Number Sequences to Graphs
October 26, 2007Ms. 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
Payment on This Day
Total Earnings
1 $10 $10
2 $10 $20
3 $10 $30
• 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
Payment on This Day
Total Earnings
1 $5 $5
2 $10 $15
3 $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
$0
$20
$40
$60
$80
$100
$120
$140
0 1 2 3 4 5 6 7
Day Number
To
tal E
arn
ing
s
Option 1 Option 2
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