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Laabri

(U1) Lesson 3 - Growing, Growing Dots

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Last updated over 3 years ago
14 Nsɛmmisa

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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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?

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1.

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.

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2.

Write down 1 things you notice and 1 thing you wonder about the diagram.

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3.

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

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4.

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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5.

Model the pattern if the diagram were relabeled this way:

Independently, give these a try...

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6.

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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7.

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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A.SSE.1.a
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A.SSE.1.a
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14.

Categorize each represenation as an example of an arithmetic sequence or geometric sequence.

  • -1500, 150, -15, ...

  • 70,60,50,40...

  • 1,3,5,7,...

  • 2,4,8,16,...

  • Geometric Sequence

  • Arithmetic Sequence