Bell Ringer Replace each ___ with <, >, or = to make a true statement. #1. #2. Order each group of numbers from least to greatest. #3. #4.

Homework Check

Open Notes Pop Quiz You need a piece of paper, a pencil, your calculator, and your notes  You may not talk or use your computer. When you are finished, turn in to me and quietly work on something for another class or read a book.

Square and Square Roots Section 10.1 Square and Square Roots R drive > Key > Week 10 > Wednesday> 10.1 PowerPoint File > Save As > P drive > Math > Week 10 > 10.1 PowerPoint

Vocabulary Perfect Square – The square of an integer Square Root – One of the squares two equal factors Radical Sign – Used to indicate a positive square root,

Notes Every positive number has both a positive and a negative square root. A negative number like -36 has no real-number square root because the square of a number cannot be negative.

Example 1 Find Square Roots

Example 2 Find Square Roots Find each square root. a. b. c. d.

Your Turn Find Square Roots

Example 3 Estimate Square Roots You can estimate the square root of an integer that is not a perfect square by determining between which two consecutive integers the square root lies.

Example 4 Estimate Square Roots

Example 5 Estimate Square Roots Estimate each square root to the nearest integer.

Your Turn Practice Estimating Square Roots

Example 6 Use a Calculator to Find a Square Root

Example 7 Use a Calculator to Find a Square Root Use a calculator to find √57 to the nearest tenth.

Your Turn Practice Using a Calculator to Find a Square Root

Example 8 Use a Calculator to Find a Negative Square Root

Example 9 Use a Calculator to Find a Negative Square Root Use a calculator to find -√42 to the nearest tenth.

Your Turn Practice Using a Calculator to Find a Negative Square Root

Example 10 Use Square Root to Solve Problems

Example 11 Use Square Roots to Solve Problems The tallest building in Houston, Texas, is the JP Morgan Chase Tower, standing at 1002 feet. About how far to the horizon can a person standing on the top floor see? Round your answer to the nearest tenth. When finding square roots in real-world situations, use the positive square root when a negative answer does not make sense.

Your Turn Practice Using Square Roots to Solve Problems Spring Port Ledge Lighthouse in Maine is approximately 55 feet high. Estimate and then calculate about how far a person who is standing on the observation deck can see on a clear day. Round to the nearest tenth of a mile.

Quiz Tomorrow You will have a Quiz Tomorrow covering 3.1, 3.2, and 10.1. The topics covered in these sections are: Fractions and Decimals Rational Numbers Squares and Square Roots There will be no vocabulary on this quiz. Make sure you know how to solve problems from each section. Use your notes and homework to study for this quiz.

Class Work Quiz Practice Section 3.1 #16 – 40 Section 3.2 #11 - 36

Class Work Quiz Practice Section 3.1 #16 – 40 Section 3.2 #11 - 36

Class Work Quiz Practice Section 3.1 #16 – 40 Section 3.2 #11 - 36

Class Work Quiz Practice Section 3.1 #16 – 40 Section 3.2 #11 - 36

Homework Section 10.1 #1-10