Unit 4 Lesson 5 Notes

Match

Do Now: matching pairs

y-intercept of 6

y-intercept of 2

y-intercept of 3

y-intercept of 4

• y-intercept of 6

• y-intercept of 2

• y-intercept of 3

• y-intercept of 4

I can create
exponential equations
when given
parameters for
variables “a” and “b”

Learning Target

Match

Explore: matching pairs

Common Ratio of 1/2

Common Ratio of 2

Common Ratio of 4

Common Ratio of 3

• Common Ratio of 1/2

• Common Ratio of 2

• Common Ratio of 4

• Common Ratio of 3

Word Problems:

Creating Functions

1. Annotate keywords in question

2. Write down known variables

   Final Amount =

   Initial Amount =

   Rate =

   Time =

3. Use equation: f(x) = a(b)^x

Tables:

Creating Functions

1. Find y-intercept

   Initial value, or when x = 0

2. Find common ratio

   Growth?

   Decay?

3. Use equation: f(x) = a(b)^x

Dropdown

The ​

Select answer

on a table will be either:

(1) the ​

Select answer

y-value or

(2) the ​

Select answer

-value next to where ​

Select answer

= 0

Dropdown

To find the common ratio,

I can divide 12 by ​

Select answer

.

Multiple Choice

Direct Instruction:

What is the y-intercept?

• 0

• 1

• 0.04

• 0.02

Multiple Select

Direct Instruction:

What is the common ratio?

(select two answers)

• 1 / 0.2

• 1/5

• 25/5

• 5/25

Math Response

Direct Instruction:

What function models the relationship?

(do not type f(x) or y=)

Type answer here

Correct Answer: 0.04\left(5\right)^x

Deg^°

Rad

Math Response

Guided Practice:

What function models the relationship?

(do not type f(x) or y=)

Type answer here

Correct Answer: 64\left(0.75\right)^x

Deg^°

Rad

Poll

Check for Understanding:

I know the steps to use information from a table to create an exponential.

• I got it. (I can do it by myself)

• I kind of get it. (I need some help)

• I don't get it yet. (I need a lot of help)

Poll

Check for Understanding:

I can identify the y-intercept from a table.

• I got it. (I can do it by myself)

• I kind of get it. (I need some help)

• I don't get it yet. (I need a lot of help)

Poll

Check for Understanding:

I can identify the common ratio from a table.

• I got it. (I can do it by myself)

• I kind of get it. (I need some help)

• I don't get it yet. (I need a lot of help)