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Example 1-4b Objective Find square roots of perfect squares

Example 1-4b Vocabulary Perfect Square Any number that is a square of a whole number 1, 4, 9, 16, 25,...

Example 1-4b Vocabulary Square root One of a numbers two equal factors (the opposite of squaring a number)

Example 1-4b Vocabulary Radical sign A symbol used to indicate the positive square root  81

Example 1-4b Vocabulary Principal square root A positive square root

Lesson 1 Contents Example 1Find a Square Root Example 2Find the Negative Square Root Example 3Use Square Roots to Solve an Equation Example 4Use an Equation to Solve a Problem

Push the  x key Example 1-1a Find Use calculator 81 [  x ] Answer: 9 1/4 Write problem Put 81 in calculator 9 indicates the positive square root of 81.

Example 1-1b Answer: 8 Find 1/4

Example 1-2a Find Use calculator 144 [  x ] Answer: -12 2/4 Write problem Put 144 in calculator Push the  x key 12 indicates the negative square root of

Example 1-2b Find Answer: ─ 6 2/4

Example 1-3a ALGEBRA Solve 3/4 Write the problem Ask “what is being done to the variable?” The variable is being squared Do the inverse on both sides of the equal sign The inverse of squaring is finding the square root

Example 1-3a ALGEBRA Solve 3/4 Find x = Bring down the equal sign Find  49 Find  64 Since same sign when multiplying integers is a positive answer there are 2 solutions Answer:

Example 1-3b Answer: ALGEBRA Solve 3/4

Example 1-4a Area is equal tothe square of the length of a side. Words Variable Equation 14,161 = A=A= MUSIC The art work of the square picture in a compact disc case is approximately in area. Find the length of each side of the square. 4/4

Example 1-4a Answer: Length of side = 119 mm 4/4 14,161 = s 2 Ask “what is being done to the variable?” The variable is being squared Do the inverse on both sides of the equal sign The inverse of squaring is finding the square root Find  14, Find  s 119 = s

Example 1-4b Answer: length of side = 105 inches ART A piece of art is a square picture that is approximately 11,025 square inches in area. Find the length of each side of the square picture. * 4/4

End of Lesson 1 Assignment Lesson 3:1Square Roots All