(U1) Lesson 3 - Growing, Growing Dots

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:
  1. Laptop
  2. Pencil
  3. 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

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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)

Launch, Explore, Discuss

Model a sequence of figures using tables, graphs, and equations.
  • How can I label the diagram to show how I see the pattern?
  • How can I use mathematical representations to show how I see the pattern changing?

Launch, Explore, Discuss

Model a sequence of figures using tables, graphs, and equations.
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Write down 1 things you notice and 1 thing you wonder about the diagram.

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Label and describe the pattern of change you see in the given sequence of figures.

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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....
  1. Find the pattern on the diagram
  2. Table (numerical)
  3. Graph (Graphical)
  4. Recursive Equation
  5. Explict Equation
Now lets try one together...
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Model the pattern if the diagram were relabeled this way:

Independently, give these a try...


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4

Write the recursive and explicit rule for this pattern.

Table is not required, but feel free to make one if it helps.

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4

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.

  • 70,60,50,40...
  • 1,3,5,7,...
  • -1500, 150, -15, ...
  • 2,4,8,16,...
  • Geometric Sequence
  • Arithmetic Sequence