7.1 Day 1 - Finding Square Roots Essential Question: How can we find the square roots of a number?

Vocabulary Square Root: A number that when multiplied by itself equals the given number. Every positive number has a positive and negative square root! Except Zero only has one square root which is zero. Perfect Square: A number with integers as its square roots. : A radical sign Radicand: The number under the radical sign

Example 1 Find the two square roots of the number 36 196 289

Example 2 Find the square root(s) − 𝟏 ± 𝟒 𝟐𝟓 𝟐.𝟐𝟓 −𝟒 ( 20 ) 2 − 𝟏 ± 𝟒 𝟐𝟓 𝟐.𝟐𝟓 −𝟒 ( 20 ) 2 Not a Real # - nothing times itself can be neg

You try: Find the two square roots of the number. 64 144 121 Find the square root(s). ± 𝟖𝟏 − 𝟗 𝟔𝟒 −𝟐𝟓

Example 3 A square window has an area of 169 𝒊𝒏 𝟐 . How wide is the window? Write and solve an equation to find the area of the window. Must write equation 1st!!! A =s2 169=s2 169 = s2 169 = s Add graph to show ordered pairs and not linear 13in = s Use the positive square root; a negative length has no meaning. The window is 13 in wide.

On Your Own Find the dimensions for the square with an area of 289 𝑓𝑡 2 A =s2

7.1 – Day 2 Square Roots and Order of Operations Essential Question: How can we use order of operations to solve problems with square roots? My teacher asked me why my shoes showed the square root of the answer.

Vocabulary - Review Square Root: A number that when multiplied by itself equals the given number. Every positive number has a positive and negative square root! Except Zero only has one square root which is zero. Perfect Square: A number with integers as its square roots. : A radical sign Radicand: The number under the radical sign

Example 1 Evaluate Each Expression 5 𝟑𝟔 +𝟕 ( 81 ) 2 −5 1 4 + 18 2

On Your Own Evaluate Each Expression 12 −3 𝟐𝟓 𝟏𝟓 − ( 𝟒 ) 𝟐 2.4+ 28 7

Example 2 Evaluate the expression 𝟓+𝟒 𝟏𝟎𝟎 𝟏𝟔 −𝟏𝟓

On Your Own Evaluate Each Expression 𝟔.𝟕𝟔 +𝟕5.4 3 𝟏𝟔 −𝟓 2( 80 5 −5)

Example 3

On Your Own

Homework Set up: while your computer turns on. You must submit your assignment from last night before you work on today’s assignment!