(U1) Lesson 3 - Growing, Growing Dots

Last updated almost 3 years ago

14 questions

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?

(U1) Lesson 3 - Growing, Growing Dots

Last updated almost 3 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

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.

Required

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

Required

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

Required

(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...

Model the pattern if the diagram were relabeled this way:

Independently, give these a try...

Required

Write the recursive and explicit rule for this pattern.

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

Required

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.

Required

0.25

Required

0.25

Required

0.25

Required

0.25

Required

0.25

Required

0.25

Required

(U1) Lesson 3 - Growing, Growing Dots

Launch, Explore, Discuss

(U1) Lesson 3 - Growing, Growing Dots

Jump Start - 5 minute

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

Launch, Explore, Discuss

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

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

Model the pattern if the diagram were relabeled this way:

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

Jump Start - 5 minute

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

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

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

Assuming the sequence continues in the same way, how many dots are there at 5 minutes?

Model the pattern if the diagram were relabeled this way:

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

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

Assuming the sequence continues in the same way, how many dots are there at 5 minutes?

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

(U1) Lesson 3 - Growing, Growing Dots

Launch, Explore, Discuss

(U1) Lesson 3 - Growing, Growing Dots

Jump Start - 5 minute

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

Launch, Explore, Discuss

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

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

Model the pattern if the diagram were relabeled this way:

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

Jump Start - 5 minute

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

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

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

Assuming the sequence continues in the same way, how many dots are there at 5 minutes?

Model the pattern if the diagram were relabeled this way:

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

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

Assuming the sequence continues in the same way, how many dots are there at 5 minutes?

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

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)

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.

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)

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.