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Pianos as Functions

Pianos as Functions

Assessment

Presentation

•

Mathematics

•

9th Grade

•

Medium

•
CCSS
6.NS.B.3, HSF.IF.A.2, 8.F.A.1

+3

Standards-aligned

Created by

Joshua Mahurien

Used 6+ times

FREE Resource

12 Slides • 24 Questions

1

Pianos as Functions

2

Draw

Plug in 0, 1, and 2 in for xx and list the values:

function = 50(2)x50\left(2\right)^x

3

Learning Goal

SWBAT:

  • Describe the domain and range of a function

  • Evaluate a function at a given input value

4

media

5

media

​What happens when you play a piano?

6

Word Cloud

Question image

What are the inputs on this piano?

7

media

​What inputs did you see?

Talk with your shoulder partner

8

Each key (input) has it's own frequency (output)!

The frequency of a note tells you how high or low a sound is.

​The higher the frequency, the higher the sound.
The lower the frequency, the lower the sound.

9

media

​Write the frequency that each key gives you.

What are the outputs?

10

Drag and Drop

The keys on a piano are
, the frequencies or sounds that come out are ​
.
Drag these tiles and drop them in the correct blank above
inputs
outputs
cats

11

Pianos = Functions

x

Inputs (Domain):

key

Inputs (Domain):

Outputs (Range):

piano(key) = frequency

Outputs (Range):

function(x) = y

12

What pattern do the A-keys make?

​Talk to your face partner!

13

Multiple Choice

piano(A4)=?piano\left(A_4\right)=?

1

220

2

3000

3

3520

4

5

14

Multiple Choice

If f(x)=220(2)xf\left(x\right)=220\left(2\right)^x , then f(4)=?f\left(4\right)=?

1

220

2

3000

3

3520

4

5

15

Multiple Choice

If f(x)=220(2)xf\left(x\right)=220\left(2\right)^x , then f(5)=?f\left(5\right)=?

1

400

2

7040

3

3000

4

5

16

Multiple Choice

If you inputed a key on the piano, and the frequency 392 was outputed, what key did you play?

1

A

2

G

3

F

4

C

17

​Talk with your shoulder partner!

Will playing the low-C ever give me a different frequency?

media

18

19

Open Ended

On the piano screen play the frequencies in order:

261.63, 261.63, 392, 392, 440, 440, 392

What keys did you play? What song is that?

20

Poll

Question image

Does this table represent a function?

Yes

No

Sometimes

21

Talk with your shoulder partner about your choice!

22

Drag and Drop

In a function, every​
has exactly one​
.
Drag these tiles and drop them in the correct blank above
input
output
cat

23

Multiple Choice

Question image

f(4)=?f\left(4\right)=?

1

10

2

12

3

31

4

32

24

Multiple Choice

Question image

f(−3)=?f\left(-3\right)=?

1

10

2

12

3

31

4

32

25

Multiple Choice

Question image

Does this table represent a function?

1

Yes

2

No

26

Multiple Choice

If f(x)=2x+1f\left(x\right)=2x+1 , then f(2)=?f\left(2\right)=?

1

1

2

2

3

5

4

20

27

Multiple Choice

If f(x)=2x+1f\left(x\right)=2x+1 , then f(3)=?f\left(3\right)=?

1

7

2

-1

3

3

4

200

28

Multiple Choice

Evaluate: y=2(10)xy=2\left(10\right)^x  when x = 0

1

2

2

0

3

1

4

20

29

Multiple Choice

f(x)=4x+5
f(4)=
1
21
2
-11
3
-31
4
25

30

Multiple Choice

f(x)=x+3
f(x) = -5
1
-2
2
-1
3
-8
4
7

31

Multiple Choice

Evaluate: y=6xy=6^x  when x = 1

1

1

2

6

3

0

4

16\frac{1}{6}  

32

Multiple Choice

g(x) = 5 - 6x
Find g(-5)
1
g(-5) = -25
2
g(-5) = 6
3
g(-5) = 4
4
g(-5) = 35

33

Multiple Choice

g(x) = 11 - x
Find g(x) = -7 
1
4
2
17
3
18
4
-77

34

Multiple Choice

Evaluate f(-5) if f(x) = -2x - 12
1
-22
2
-2
3
-19
4
-5

35

Multiple Choice

Evaluate y = x + 5 when y = 10.
1
8
2
2
3
9
4
5

36

Multiple Choice

Question image
What is f(2)?
1
-4
2
8
3
0
4
5

Pianos as Functions

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