Today Is… Tuesday, Oct 24 DO NOW Glue square roots graphic organizer into MSG Keep your MSG out on your desk Move your desk together to work with your shoulder partner. If you don’t have one, I will move you after I take attendance. qu Announcements: Red Ribbon Week Tues – Hawaiian or vacation theme Wed – Wear ties or tye dye Thurs – mismatched socks or crazy socks Friday – sport themed clothes HW: Workbook pg. 235 #’s 1-9 & 13 Today in class students will be learning…. how to calculate square and cube roots because carpenters, engineers, and architects use them daily in their profession.

Cheez-it Activity With your partner, work to create a perfect square out of the Cheez-its that are located in the cup on your table. Make sure the square is filled in. Ex: Questions to think about: How many Cheez-its are there? What is my side length vs. area? Number of Cheez-its (area) Side length of square With your table group, work to create a perfect square out of the Cheez-its that are located in the cup on your table. Make sure the square is filled in. Ex: Questions to think about: How many Cheez-its are there? What is my side length vs. area?

Cheez-it Activity What did you notice about the relationship between the number of Cheez-its on one side of the square and the total number of Cheez-its in the square? If there are 14 Cheez-its on one side, how many total are there in the square (what is the area of the square)? What could you do to figure out how many Cheez-its are on one side of a square if there are 196 total? Number of Cheez-its (area) Side length of square With your table group, work to create a perfect square out of the Cheez-its that are located in the cup on your table. Make sure the square is filled in. Ex: Questions to think about: How many Cheez-its are there? What is my side length vs. area?

How to Find the Square Root of a Perfect Square msg p. 23

Perfect Squares When a number is multiplied by itself, the product is called the square of a number. This means that if each of these numbers were the area of a square, the length of one side would be a whole number. Area = 4 Area = 25 Area = 9 Area = 16 4 5 3 2 2 3 4 5

Square Roots The symbol is called square root or radical. The square root is one of two equal factors of a number. Ex: 9 = 3×3 =3 The number inside the square root represents the product of two equal factors. Area = 4 Area = 25 Area = 9 Area = 16 4 5 3 2 2 3 4 5

Square Roots The solution of a is the length of a side of a square. A positive square root is called the principal square root. A number that has integers as its square roots is called a perfect square. Area = 4 Area = 25 Area = 9 Area = 16 4 5 3 2 2 3 4 5 4 = 9 = 16 = 25 =

Square Roots What is the difference between: 4 − 4 4 − 4 What is special about −4 ?

Perfect Squares 112 = 121 122 = 144 132 = 169 142 = 196 152 = 225 162 = 256 172 = 289 182 = 324 192 = 361 202 = 400 252 = 625 12 = 1 22 = 4 32 = 9 42 = 16 52 = 25 62 = 36 72 = 49 82 = 64 92 = 81 102 = 100

How to Find the cube Root of a Perfect cube msg p. 24

Cube Roots 1³ = 1 2³ = 8 3³ = 27 4³ = 64 5³ = 125 6³ = 216 7³ = 343 8³ = 512 9³ = 729 10³ = 1,000

Cube Roots The solution of a 3 is the length of a side of a cube. A cube root of a number is one of its 3 equal factors. Ex: Find each cube root 3 125 3 27 3 −64

Solving equations Can result in a positive AND a negative answer. Solve 𝑡 2 =49 Solve 𝑦 2 = 4 25

Square & Cube Roots Chart Glue in Green Sheet on p. 23 in MSG Square roots chart - Fold in thirds and paste in p. 25 of MSG. You must memorize this chart. You will have timed skills checks drilling you on your facts. After your quiz - Work on filling in your square roots table.

Closing Ticket out the door: Tomorrow’s lesson is about estimating square roots of non-perfect squares. How might finding the square root of a perfect square help you to estimate the square root of a number that is not a perfect square?

How to Find the Square Root of a Non-Perfect Square

Warm-up Solve. 36 − 0.36 0.0036

Non-Perfect Squares What about the numbers in between all of the perfect squares? Why isn’t 20 a perfect square? 20 can’t make a square with whole numbers. (Area) Area = 20 1 20 4 Area = 20 2 Area = 20 5 10 The square root of 20 must be a decimal or fraction number between 4 and 5.

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