M3 L5 (Monday 1/4) Exponential Growth

Mon. 1/4

SWBAT examine exponential formulas IOT use graphs and tables to model the exponential behavior.

M3 L5: Exponential Growth

                              Review: Exponential Growth

• Exponential growth patterns involve (addition or multiplication) to get the next output in the sequence.

• exponential formulas are...                                                                                                   arithmetic or geometric ?

• Use this explicit formula to find the nth term for a geometric sequence: $a_n=a_1\cdot r^{n-1}$   $where\ a_1=1st\ term\ \left(initial\ value\right)$   $and\ r=common\ ratio\ \left(pattern\ of\ multiplication\right)$  

• Use this recursive formula to find the nth term using the previous term for a geometric sequence:   $a_n=r\cdot a_{n-1}$   $where\ a_{n-1}\ is\ the\ term\ before\ a_n$  

Fill in the Blank

 $Given\ \ 6,\ 12,\ 24,\ 48$   $What\ is\ the\ common\ ratio,\ r?$                 Type your answer below as a number only. For example if I find the common ratio to be 5, I will type only the number 5 below.

On the next slide, you will choose which graph above represents exponential growth (blue or red).

Multiple Select

Which graph on the previous slide represented exponential growth?

• the blue graph

• the red graph

Today's Assignment:

1. Watch "Module 3 Lesson 5 Daily Video" found in Great Minds through Clever.

2. Take Notes from the video in your class notebook (week 15: L5 Notes), or upload a picture of your notes on the exact same page.

3. Stop the video at 17:18. You do not do the problem sets at the end of the video.

3. After the video, complete the Lesson 5 Exit Ticket (found in Great Minds under assignments).

If you aren't sure how to access Great Minds, there will be instructions on the next slide.