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ANALYTIC GEOMETRY

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ANALYTIC GEOMETRY

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  1. MCC9‐12.A.REI.4b Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation.SQUARE ROOTS OF PERFECT SQUARESBig Idea: Using manipulatives students will solve equations involving square roots. ANALYTIC GEOMETRY Juanita Pritchard April 2014

  2. You have 9 tiles. You want to fill a square space.

  3. If you arrange them to fill a square space … what is the length of each side?  

  4. We can write this question as an equation. X2 = 9

  5. If the length of each side is 3 then X =3. X2 = 9 3

  6. The length of each side is 3. 3 X2 = 9 HINT: The length of the side is the square root of the area of the square. X = 9 3 = 9

  7. 9 9 9 Sally wants to make a quilt with pieces of fabric. She wants the quilt to be square so all sides will be the same. This is the equation for a perfect square X2 = Total Number X = Total Number

  8. How long will each side be if Sally places her 9 pieces in a perfect square? x2 = 9 or x = 9 hint: x = length of side x = 9 x =

  9. What other ways can you use perfect squares?

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