1. Module 1 Exponential Notation & Properties of Integer Exponents
Lesson 1
Exponential Notation

2. Warm Up 1 minute Find at least two other ways to show the following:

3. Learning Target I can write numbers in exponential notation
I will know the reason for why some bases require parentheses

4. Independent Materials – none 1 minute
Suppose I gave you a choice between getting $100,000 or doubling a penny every day for 4 weeks. -Which would you choose? (be prepared to explain why)

5. Share 1 minute
Using at least one Talking Point, share your response with your partner.
$100, penny doubled

6. Predict Materials – none 4 minutes
Let’s look at the 1penny a day for 1 month: 1 2 4 8 16 32 64
Total from week 1: 127 pennies or $1.27
Do you want to change your answer? Make a prediction about the total amount after 4 weeks now that you know 1 week.

7. Week 2:
Week 2 total: 8192 pennies= $81.92
Week 3: 16, , , , ,144
524,288 1,048,576
Week 3 total: 2,080,768pennies= $20,807.68
Week 4: 2,097, ,194,304 8,388,608
16,777, ,554, ,108, ,217,728
Week 4 total: 268,338,304 pennies= $2,683,383.04

8. Pair Materials- worksheet, whiteboard, sock, whiteboard markers 3 minutes
Week 1:
Let’s factor each number to find its prime factors (remember the factor tree?) Work with your partner to factor each of the numbers above.
Ex:

9. Individual Materials – worksheet, pencil 1 minute
Jot down on your worksheet some patterns you are noticing.

10. Partner Share Materials – non 1 minute
Share with your partner the pattern(s) you found.

11. Partner/All together Materials – none 1 minute
With your partner, try and find a way to rewrite the prime factors of 64 (2x2x2x2x2x2) in a manner that is more efficient. Be prepared to share with the class.

12. Independent Materials – Notebook, pencil 5 minutes
When we have numbers that are the same factors (the same number being multiplied), we can use exponential notation to write the numbers in a manner that is more efficient (easier).
The exponent shows how many times the base is being multiplied by itself. So in expanded form, this means 2x2x2

13. Partner Materials – Worksheet 2 minutes
Rewrite the numbers in exponential notation. Leave 1 blank- we will come back to this.

14. Independent Materials – worksheet 4 minutes
Practice factoring and writing numbers in exponential notation.

15. T-P-S 2 minutes
What if the number being factored has more than 1 prime factor (for example, 18 is made up of 2 and 3 and 3). How would you write numbers like this in exponential notation?

16. Individual Materials: Notes and pencil Time: 3 minutes
So 18= 2 and We write this as 18= 2x 3 2

17. Individual Materials: Worksheet and Pencil Time: 4 minutes
Practice! On the back side of the worksheet, work on question 5. When you are done, you may start on numbers 6 & 7.

18. On the piece of scratch paper that was handed out to you,
Exit Ticket! 4 minutes
On the piece of scratch paper that was handed out to you,
1) Write your name
2) Write the following numbers in exponential notation:
a) b) (-3)(-3)(-3)