(U1) Lesson 3 - Growing, Growing Dots
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Last updated over 2 years ago
14 questions
Today's Learning Goal:
- Use diagrams, tables, graphs, and equations to introduce geometric sequences as functions with a constant growth factor or ratio between terms.
Today's Materials:
- Laptop
- Pencil
- Guided Note Sheet
Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.
Jump Start - 5 minute
Required
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Which doesnt belong?In the space provided, write the letter of the choice below that you believe doesnt belong and give a reason. (Showing your work is not required)
Which doesnt belong?
In the space provided, write the letter of the choice below that you believe doesnt belong and give a reason. (Showing your work is not required)
Launch, Explore, Discuss
Model a sequence of figures using tables, graphs, and equations.
Required
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Write down 1 things you notice and 1 thing you wonder about the diagram.
Write down 1 things you notice and 1 thing you wonder about the diagram.
Required
0
Label and describe the pattern of change you see in the given sequence of figures.
Label and describe the pattern of change you see in the given sequence of figures.
Required
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Assuming the sequence continues in the same way, how many dots are there at 5 minutes?
Assuming the sequence continues in the same way, how many dots are there at 5 minutes?
(Note Sheet) Now watch me while I model for you how to....
- Find the pattern on the diagram
- Table (numerical)
- Graph (Graphical)
- Recursive Equation
- Explict Equation
Now lets try one together...
0
Model the pattern if the diagram were relabeled this way:
Model the pattern if the diagram were relabeled this way:
Independently, give these a try...
Required
4
Write the recursive and explicit rule for this pattern.
Table is not required, but feel free to make one if it helps.
Write the recursive and explicit rule for this pattern.
Table is not required, but feel free to make one if it helps.
Required
4
Write the recursive and explicit rule for this pattern.
Table is not required, but feel free to make one if it helps.
Write the recursive and explicit rule for this pattern.
Table is not required, but feel free to make one if it helps.
Lesson 3 Practice Problems
Show your work when you need to.
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4
Categorize each represenation as an example of an arithmetic sequence or geometric sequence.
Categorize each represenation as an example of an arithmetic sequence or geometric sequence.
- 1,3,5,7,...
- 2,4,8,16,...
- 70,60,50,40...
- -1500, 150, -15, ...
- Geometric Sequence
- Arithmetic Sequence