Federal Way Public Schools KUD Concept Organizer 2013/2014 Course/Grade 8 8.EE.2
Priority Standard:
. Use square root and cube root symbols to represent solutions to equations of the form x2 = p and x3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irra onal.
Know Do (Skill, Factual) (Concepts, Procedural, Application, Extended Thinking)  Students recognize that squaring a  Write solutions to equations using square number and taking the square root √ of root and cube root symbols a number are inverse operations;  Evaluate square/cube roots of small perfect likewise, cubing a number and taking the squares/cubes cube root 3 are inverse operations. This  Recognize that the square root of 2 is understanding is used to solve equations irrational containing square or cube numbers. Equations may include rational numbers 2
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such as x = 1 /4, x = 4 /9 or x = 1/8 (NOTE: Both the numerator and denominators are perfect squares or perfect cubes.)  Students recognize perfect squares and cubes, understanding that non‐perfect squares and non‐perfect cubes are irrational.  Students understand that in geometry a square root is the length of the side of a square and a cube root is the length of the side of a cube. The value of p for square root and cube root equations must be positive. Understand (Big Ideas, Conceptual):  Roots  Perfect squares and cubes Essential Questions (Answers Big Idea):  How do I find the cube root and square root?  What is a perfect square?