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Square Roots Presented by Mr. Laws 8 th Grade Math, JCMS

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CCSS Goal/Objective 8.EE.2 – Use square root and cube root symbols to represent solutions to equations of the form x 2 =p and x 3 =p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes.

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Essential Question(s): Using a math principle, how can we find the square root of a number; estimate the square root of number between two consecutive integers; and simplify irrational square roots?

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What is a square root? 16 4 roots 16 sq. ft Radical sign indicates a root. Radicand is the number under the radical sign. Index displays the root of an expression. The square root of a number is a number when multiplied by itself equals the radicand. Radical sign 16 = 4 Radicand indexSquare Root

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Square Roots Square roots are also written as this: The square root of 16 can be positive or negative 4 because: Only the Radical sign is negative! No answer!!, Why?

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Perfect Squares Perfect squares are square roots when multiplied by itself will equal an integer. Perfect squares are rational numbers. Examples:

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Non-perfect Squares Non-perfect squares are square roots that are irrational numbers. Calculators are also another way you can identify non-perfect squares. Examples: Approx. to the nearest 10 th Approx. to the nearest 100 th

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Estimating Square Roots You can also estimate square roots between two consecutive integers. Example: Find two consecutive integers between the value of. The is between the perfect squares of 64 and 81: and The two consecutive #’s that falls between the is 8 and 9.

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Estimating Square Roots Estimate the value of Create a number line with the two consecutive numbers: Where does it go ?

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Practice: 1. Find ea. square root. a.a.b.b.c.c.d.d.e.e. 2. Between what two consecutive integers does the following sq. roots lies? f.g.h.i.j. 3. Estimate the value of the following square roots (Round to nearest 10th: k.k.l.l.m.m.n.n.0.0.

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Question Review and Summary Take a look over your notes; add questions you may have missed. Write down some important facts about the lesson. Summarized the lesson. Is there something you don’t understand about the lesson? Can you answer the essential question?

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