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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 Presentation
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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