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Do Now

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Do Now

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  1. Do Now Factor

  2. Quadratic Equations 7/1/13 Happy July!

  3. Friday’s Quiz Results 100% QuizzesRuben Alex Omar Kyra Jorge

  4. Quadratic Functions • A quadratic equation is a polynomial equation of degree 2. • What do graphs of quadratics look like? • Parabolas! • Make a table of values

  5. Graphing • The axis of symmetry is a line that divides a parabola into two halves that are reflection of each other. • The vertex is the point on the parabola intersected by the line of symmetry. It is the maximum or minimum point of the graph.

  6. How to Find This Stuff • Axis of Symmetry: • If , the parabola opens up, meaning the vertex is a minimum. • If , the parabola opens down, meaning the vertex is a maximum.

  7. Find the line of symmetry 1) 2) 3)

  8. Solving Quadratics by Factoring • ZERO PRODUCT PROPERTY • If the product of two algebraic expressions is zero, then at least one of the factors is equal to zero.

  9. Solve by Factoring 3) 4)

  10. YAY MATH • P. 152 #1-14

  11. Completing the Square • A square binomial, such as has the FOILed form of • We can look at a quadratic like . Both the first and last terms are perfect squares and the middle term is double the product of the two – IT’S ALMOST LIKE WE LEARNED THIS LAST WEEK.

  12. Completing the Square • Check this out: • 0 • The first term is a square, but not the last. Obviously, the middle term is not double the product of two. Sooooooooooooo what can we do to get around this? • What would we like this number to be? Why?

  13. Completing the Square Find one half of Square the result from step 1 Add and subtract the result of Step 2 to

  14. Completing the Square What term should be added to each binomial so that it becomes a perfect square trinomial? Write and factor the trinomial.

  15. Completing the Square What term should be added to each binomial so that it becomes a perfect square trinomial? Write and factor the trinomial.

  16. Solving a Quadratic Equation by Completing the Square

  17. Solving a Quadratic Equation by Completing the Square

  18. Solving a Quadratic Equation by Completing the Square

  19. Solving a Quadratic Equation by Completing the Square

  20. Completing the Square Practice • P. 152 #35-64 odd

  21. Quadratic Formula Time!!!!!

  22. Solve Using the Quadratic Formula

  23. Solve Using the Quadratic Formula

  24. Tourney Time • In a round robin rock/paper/scissors tournament, each player is paired with every other player once. The formula models the number of R/P/S games, N, that must be played in a round-robin R/P/S tournament with x players. 1) In a tournament, 20 games were played. How many players were entered in the tournament? 2) In a tournament, 30 games were played. How many players were entered in the tournament?

  25. Quadratic Formula Practice p. 152 #65-74 odd Finished Early? p. 152 #83-98

  26. Harkness Discussion

  27. Daily Quiz • Good luck!