1. - Your next hand-in day will be Monday, Dec 1st -
Mental Math
November 26th
- Your next hand-in day will be Monday, Dec 1st -
Solve the following, show the steps you took when determining the answer: 22 52 62

2. Approximately November 26th to December 20th
Squares
&
Square Roots
squares
- Squared Numbers, Square Roots, Perfect Squares, Non-Perfect Squares -
Approximately November 26th to December 20th

4. Intro
By the end of this unit, we will know how to apply & manipulate squared numbers & square roots.
This will help us with our Pythagorean Theorem unit after Christmas
We will learn how to work with:
- Squared Numbers
Square Roots
Perfect & Non-Perfect Squares

5. Why do we need to know this!?!
Intro
Why do we need to know this!?!

6. Mental Math November 28th
- Your next hand-in day will be Tuesday, Dec 3rd -
Which of the following is the answer to eight squared? 54 64 81
I’ve written eight squared with words, what are two ways that I can write it with numbers?

7. Squares & square roots squares & square
What does it mean to square a number? To square a number means you multiply it by itself (ex) 3 x 3 = 9 also written as 32 How might we represent this pictorially?

8. Squares & square roots squares & square

9. Mental Math November 29th Show that 25 is a perfect square.
- Your next hand-in day will be Tuesday, Dec 3rd -
Show that 25 is a perfect square.
- Write what number(s) is squared to create it, it’s repeated multiplication, and represent it pictorially (label the side lengths).

10. Stanley LOVES squared numbers!
Squares & square
roots
squares & square
Stanley LOVES squared numbers!

11. Mental Math December 2nd
- Your next hand-in day will be Tuesday, Dec 3rd -
What number would you square to get the following perfect squares?
64 b) 36 c) 81
d) 100 e) 25 f) 9

12. What does it mean to get the square root of a number?
Squares & square
roots
squares & square
What does it mean to get the square root of a number?
Square roots are the opposite of squares (inverse operations)
(ex) 3 x 3 = 9 so the square root of 9 is 3
also written as √9

13. What does it mean to get the square root of a number?
Squares & square
roots
squares & square
What does it mean to get the square root of a number?
A square root is a value that can be multiplied by itself to give the original number
- What can I multiply by itself to get this?

14. Squares & square roots squares & square
√81
√25
√144
√36
√169

15. Squares & square roots squares & square
Determining a square root mentally can involve a lot of guess and check.
One strategy can be to estimate using squares of whole numbers that can be easily memorized
Often called benchmarks

16. Squares & square roots squares & square
Using the chart you created, guess the possible range for these square roots:
√10
√72
√150

17. Mental Math December 3rd What is the square root of:
- Hand In Day! Pick a mental math from this unit -
What is the square root of:
√25
√49
√169

18. Squares & square roots squares & square
√92
√30
√151
√42 √7

19. Calculate the following
Mental Math
December 5th
Calculate the following 27
√13

20. Mental Math December 6th
Using your knowledge of your benchmark chart, determine if you can calculate the following.
121
1.69
0.25
(look for patterns)

21. Interactive
Notebook
Using the provided template, create a page for your Interactive Notebook summarizing squares, square roots, & the number line strategy. Use your own words!

22. Calculate the number whose square root is:
Mental Math
December 9th
Calculate the number whose square root is:
0.3 b) 2/3 c) 1.9
(what question do we ask ourselves when trying to determine a square root?)

23. Calculate the following perfect & non-perfect squares:
Mental Math
December 10th
Calculate the following perfect & non-perfect squares:
√144 17
0.49
√35

24. Mental Math December 12th Which is the closest estimate to √97 9.6 9.9
9.8
Show your evidence to support your choice.

25. Mental Math December 13th Estimate the answer to 114 .
Explain, in full sentences, the reasoning behind your estimation.
Solve to two decimal places.
Were you close to your estimation?

26. Calculate the following
Mental Math
December 16th
Calculate the following
=81
=144
=16
=49
=169

27. Which homeroom classroom is closest to being a perfect square?
Squares & square
roots
squares & square
Which homeroom classroom is closest to being a perfect square?

28. Calculate the following
Mental Math
December 17th
Calculate the following
−5+ −7 −(−2)
1.21 29

29. Mental Math December 18th Calculate the following −17+26 0.01 43
- Hand In Day!! December 4th-December 18th -
Calculate the following
−17+26
0.01 43