6th math sub lesson 1

6th math sub lesson 1

by Mrs. McKinney

On youtube, listen to this song and take notes​

Colin Dodds - Powers (Math Song) - YouTube ​

​Today, we are learning:

•  Evaluate exponential expressions involving whole-number exponents.

• Write an exponential expression to represent a real-world situation.

• W Evaluate exponential expressions involving whole-number exponents.

• Write Evaluate exponential expressions involving whole-number exponents.

• Write an exponential expression to represent a real-world situation.

• Write and evaluate an exponential expression to solve a real-world pro an exponential expression to represent a real-world situation.

• Write and evaluate an exponential expression to solve a real-world problem.rite and evaluate an exponential expression to solve a real-world problem.​

•  Evaluate exponential expressions involving whole-number exponents.

• ​

• Write an exponential expression to represent a real-world situation.

• ​

• Write and evaluate an exponential expression to solve a real-world problem.

• ​

• ​

• ​This lesson covers lesson 5.1.1 in your Apex learning, but don't worry if you are not there yet!

Multiple Choice

What is the shortcut way to write 5+5+5+5 ?

• 5x5

• 5x4

• 5+5+5+5+5+5+5

• There is no shortcut

Multiple Choice

What is the shortcut way to write 4+4+4+4+4+4 ?

• 4x4x4x4x4x4

• 4/4/4/4/4/4

• 4x6

• There is no shortcut

Today, we will learn a shortcut way to write ​

4x4x4x4x4x4​

​

​Yes, be careful; I changed it to multiplication!

Multiple Choice

But first:

What is 4x6 ?

• 24

• 12

• 10

• -2

Multiple Choice

Now, take this one step at a time:

What is 4x4?

then, multiply that answer by 4

multiply that answer by 4

x4

x4 one more time...

• 20

• 24

• 4,096

• Whaaa....?

​Exponents

• ​exponents are the little floating numbers

• ​They tell us how many times to multiply the base number BY ITSELF

• ​so, in   

• The 3 is the base and the 4 is the exponent

• ​Overall, this means we multiply 3 by itself 4 times: 3x3x3x3

​ another example...

• ​is NOT 4x2 ...that is a common mistake

• ​

• ​It is 4 times itself 2 times

  • ​4x4

Multiple Choice

What is  $$5^2$$  ?

• 5x5 , which is 25

• 10

• 52

• Why is that number not on the ground?

Multiple Choice

What is $$3^4$$  ?

• 34

• 3x3x3x3 , which is 81

• 3+3+3+3 , which is 12

• These numbers gonna float away...

​Exponential growth

• ​Many things grow or multiply exponentially: bunnies, cells, covid cases, Earth's population...

• ​

• ​start at the 2

• ​What is

• ​What is

Multiple Choice

What is  $$2^3$$   ?

• 2x2x2 , which equals 8

• 2+3 , which equals 5

• 2+2+2 , which equals 6

• Look at those dots...so many dots...

Multiple Choice

What is $$2^4$$  ?

• 6

• 2x2x2x2 , which is 16

• 8

• So many dots

Multiple Choice

$$2^5$$  is...

• 10

• 7

• 2x2x2x2x2 = 32

• Oh!  The answers are all in the dots!

  (don't choose this answer)

​Exponential growth

​

With a base of 2, the number of dots (cells, germs...) DOUBLES each time!

​

​

​We have all heard too much about germs lately...

​Germs multiply quickly inside your body. 

At hour 0 you get 1 germ. In 1 hour, you have 2 germs…

​

​Make a chart:

​

​hours math problem germs

​ 0 1

1 2

2 4

​ 3 8 notice how the number of germs doubles

​ keep going for 10 hours...

Multiple Choice

How many germs after 8 hours?

• 16

• 256

• 128

• We were supposed to figure that out?

Multiple Choice

How many germs after 10 hours?

• 20

• 512

• 12

• I lost count

​At this rate, in just 24 hours (1 day), you would have....

​

​

​ 16,777,216 germs !

They all started from that one germ.

​

​ No wonder you feel bad so quickly!

​Great job today!

​

​

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​For more fun practice, google

​

​math playground otter rush

​

​ for a fun game practicing exponents