Transcript Find the square root. - Bryant Middle School

Evaluate
1. 9 + 8 – 27
3. -9 + -19
6. -9 + (-81)
9. -9 – (+12)
Slot Work
2. 81 ÷ 9 + 3
4. 18 – (14)
7. -14 + -3
10. -15 – (9)
Riddle: I come one in a minute,
Twice in a moment,
But never in a thousand years
5. -9 • -9
8. -81(-10)
If you got below a “C” on yesterdays Slot quiz,
you may re-done the problems you got wrong.
YOU MUST EXPLAIN IN WORDS, you corrections.
EX: 5 + (-9) = -4 ; subtract because the signs
are difference, then keep sign of bigger number.
Table of Contents
Date
9-27-16
Target
Estimating Square Roots
Joke of the day
• TEACHER: Donald, what is the chemical
formula for water?
• DONALD: H I J K L M N O.
• TEACHER: What are you talking about?
• DONALD: Yesterday you said it's H to O.
YIP square root: A number that is multiplied by itself
to form a product.
The operations of squaring and finding a square
root are inverse operations.
YIP:The radical symbol , is used to represent
square roots. Positive real numbers have two
square roots.
4  4 = 42 = 16
(–4)(–4) = (–4)2 = 16
–
=4
Positive square
root of 16
= –4
Negative square
root of 16
YIP: nonnegative square root is
The negative square root is –
.
.
YIP: perfect square is a number whose
positive square root is a whole number..
• Hand out perfect
square sheet
In Class Work handout
You have five minutes to complete this
on your own.
The square root of 25 is
5
Example 1: Finding Square Roots of
Perfect Squares
Find the square root.
Think: What number squared
equals 25 ?
81
Positive square root
positive
5
.
9
Check It Out! Example 1
Find the square root.
1a.
22 = 4
=2
Think: What number squared
equals 4?
Positive square root
positive 2.
1b.
52 = 25
Think: What is the opposite of the
square root of 25?
Negative square root
negative 5.
The square roots of many numbers like
, are not
whole numbers. A calculator can approximate the
value of
as 3.872983346... Without a calculator,
you can use square roots of perfect squares to help
estimate the square roots of other numbers.
Example 2: Problem-Solving Application
As part of her art project, Maha will
need to make a square covered in glitter.
Her tube of glitter covers 13 square
inches. What is the greatest side length
Shonda’s square can have?
List the important information:
• The tube of glitter can cover an area of
13 square inches.
Example 2 Continued
The side length of the square is
because

= 13. Because 13 is not a perfect
square,
is not a whole number. Estimate
to the nearest tenth.
Find the two whole numbers that
is
between. Because 13 is between the perfect
squares 0 and 16.
is between
and
, or between ___ and ___.
Which perfect square is
closest to?
Example 2 Continued
Because 13 is closer to 16 than to 9,
is closer to 4 than to 3.
3
So,
4
≈4
Hand out number line activity
Find the two square roots of each number.
A. 49
49 = 7
49 = –7
–
B. 100
100 = 10
–
100 = –10
C. 225
225 = 15
–
225 = –15
In Class Work