1. 8/18/17 TGIF! Please put your homework sheet
in the basket on the back shelf & grab a divider.
Head to goformative, have a piece of paper
labeled “Square and Cube Roots Quiz ”
We will begin in just a moment. Use the first
five minutes to go over your notes from
this week. If you have headphones, you may need them today.
I will be working in the office today.
Please be on your best behavior for
the substitute. Work hard for
the next 90 minutes!

2. Turn in quiz to 2nd block basket on back shelf.
Go to my website and open today’s powerpoint.
Use your headphones to listen to the video (if you did not bring
headphones, use the close captioning). Take notes over the videos and
Copy the examples in the Powerpoint.

3. Part One: Solve by Squaring or Cubing addition and subtraction
multiplication and division
Just as these are opposites, so are
squaring and square root
cube and cube root

4. So, if given the following equation:
Ex 1:
Part One: Inverse Operations
So, if given the following equation:
𝑥 =5
The opposite operation of taking a square root, would be to square the numbers.

5. The same is true if given a cube root,
Ex 2:
Part One: Inverse Operations
The same is true if given a cube root,
3 𝑥 =5
The opposite operation of taking a cube root, would be to cube the numbers.
THINK: When I take the cube root of a number, I get 5. So what number has a cube root of 5? Yep, 125!
So x must be 125.

6. Part Two: Solve by Taking the Square Root
Hold CTRL
& click the
link to watch the
movie

7. Ex 3: 𝑥 2 =16 Part Two: Solve by Taking the Square Root
Some number times itself equals 16.
The opposite of squaring a number is taking the square root:
𝑥 2 = 16
x = ±4

8. Part Three: Solve by Taking the Cube Root
Hold CTRL
& click the
link to watch the
movie

9. Ex 4: 𝑦 3 =64 Could the answer also be -4?
Part Three: Solve by Taking the Cube Root
𝑦 3 =64
Some number cubed (multiplied by itself 3 times) equals 64.
The opposite of cubing a number is taking the cube root:
3 𝑦 3 = 3 64
y = 4
Could the answer also be -4?

10. Ex 4 continued: 𝑦 3 =64 Could the answer also be -4? no 3 𝑦 3 = 3 64
3 𝑦 3 = 3 64
Check: 4×4×4=64
−4×−4×−4=−64

11. Some number multiplied by itself three times is -8.
Ex 5:
Part Three: Solve by Taking the Cube Root
𝑤 3 =−8
Some number multiplied by itself three times is -8.
3 𝑤 3 = 3 −8
𝑤=−2
Check: −2×−2×−2=−8

12. Practice Set A: 1. 𝑤 3 =−27 2. 𝑥 2 =121 3. 𝑦 2 =−4
Try these in your notebook. Write the problem, show the operation, and circle your final answer.
1. 𝑤 3 =−27
2. 𝑥 2 =121
3. 𝑦 2 =−4

13. Solutions for Practice Set A:
Try these in your notebook. Write the problem, show the operation, and circle your final answer.
1. 𝑤 3 =−27
2. 𝑥 2 =121
3. 𝑦 2 =−4

14. Practice Set B: 4. 3 𝑥 =−2 5. 5= 𝑦 6. 𝑧 =15
Try these in your notebook. Write the problem, show the operation, and circle your final answer.
𝑥 =−2
5. 5= 𝑦
6. 𝑧 =15

15. Solutions for Practice Set B:
Try these in your notebook. Write the problem, show the operation, and circle your final answer.
𝑥 =−2
5. 5= 𝑦
6. 𝑧 =15

16. Play the following games until everyone at your table is finished taking notes and doing practice from this video.

17. I Have/Who Has
Deal the cards so that everyone at the table as an equal (or almost equal) amount. Begin with the START card-have “WHO HAS…” Lay your card on the table, and make a chain of the next in line until all cards are displayed. Raise your hand when you think you have everything in the right order to be checked.

18. Resources
Video/Game