1.2-1.3
Presentation
•
Mathematics
•
9th Grade
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Practice Problem
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Hard
Joedi Coleman
FREE Resource
7 Slides • 9 Questions
1
Learning Targets
Recognize scenarios with a common difference between terms as arithmetic sequences.
Describe arithmetic sequences with pictures, tables, words, and graphs.
2
3
4
Open Ended
Tanya says that to make 10 hexagons you would need 60 toothpicks. How do you think Tanya came up with this answer? Is she correct? Explain.
5
Math Response
If Haruko has a total of 71 toothpicks, how many hexagons can he make?
6
Math Response
Can you come up with a rule for how many toothpicks are needed to make x hexagons?
7
8
Learning Targets
Look for and make use of structure.
Use an identified recursive or explicit pattern to extend the pattern to other values.
Begin to make generalizations using language such as always, every time, the pattern is, the rule is, any number, for all numbers, etc.
9
Math Response
How many different ways can Allora and Bianca be seated with their two tickets?
10
Math Response
The following week they go to the movies again but this time with their friend Coleman. How many different ways can they seat themselves in their three ticketed seats?
11
Math Response
Suppose that their friend Dalman also came along. a. If Allora insists on sitting in the leftmost seat, how many ways can the group of four be seated?
12
Math Response
Suppose that their friend Dalman also came along.
What if Bianca sat in the leftmost seat? How many ways are there for them to sit?
13
Math Response
How many different ways are there in total for the four friends to be seated?
14
15
Math Response
There are 5,040 ways for a group of 7 people to be seated. How many ways could a group of 8 be seated?
16
Learning Targets
Recognize scenarios with a common difference between terms as arithmetic sequences.
Describe arithmetic sequences with pictures, tables, words, and graphs.
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