Preskoči na glavni sadržaj
Prijava
Sign up for FREE
arrow_back
Biblioteka

(U1) Lesson 3 - Growing, Growing Dots

star
star
star
star
star
Posljednje ažuriranje about 3 years ago
14

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

Obavezno
0

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?

Pitanje 1
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.

Obavezno
0
Pitanje 2
2.

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

Obavezno
0
Pitanje 3
3.

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

Obavezno
0
Pitanje 4
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...

0
Pitanje 5
5.

Model the pattern if the diagram were relabeled this way:

Independently, give these a try...

Obavezno
4
Pitanje 6
6.

Write the recursive and explicit rule for this pattern.

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

Obavezno
4
Pitanje 7
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.

Obavezno
0.25
Obavezno
0.25
Obavezno
0.25
Obavezno
0.25
Obavezno
0.25
A.SSE.1.a
Obavezno
0.25
A.SSE.1.a
Obavezno
4
Pitanje 8
8.

Pitanje 9
9.

Pitanje 10
10.

Pitanje 11
11.

Pitanje 12
12.

Pitanje 13
13.

Pitanje 14
14.

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

  • 1,3,5,7,...

  • 70,60,50,40...

  • 2,4,8,16,...

  • -1500, 150, -15, ...

  • Geometric Sequence

  • Arithmetic Sequence