Power point 1 for technology in education


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Power point 1 for technology in education

  1. 1. The Quadratic Formula By: Samantha Wisner 11:00-12:15 p.m.
  2. 2. *History of the Quadratic Formula* <ul><li>The Quadratic Formula can be used to solve any algebraic equation. </li></ul>
  3. 3. *History of Quadratic Formula Cond.* <ul><li>The first aspect that finally led to the quadratic equation was the recognition that it is connected to a very pragmatic problem. </li></ul>
  4. 4. *History of the Quadratic Formula Cond* <ul><li>Around 700AD the general solution for the quadratic equation, this time using numbers, was devised by a Hindu mathematician called Brahmagupta. </li></ul>
  5. 5. *History of the Quadractic Formula Cond.* <ul><li>It is known that the Egyptian wise men (engineers, scribes and priests) were aware of this shortcoming. </li></ul>
  6. 6. *First Step* <ul><li>The quadratic equation looks like this: </li></ul><ul><li>ax ² + bx + c = 0 </li></ul><ul><li>A, B, C are coefficients in the quadratic equation. </li></ul><ul><li>Need to solve for ‘x’. </li></ul>
  7. 7. *Second Step* <ul><li>Example Equation: x ²  4 x  5 = 0 </li></ul><ul><li>Substitute A=1, B= -4, C=-5 </li></ul>
  8. 8. *Third Step* <ul><li>Solve Equation in this formula: </li></ul>
  9. 9. *Fourth Step* <ul><li>Plug in the A, B, C in the Quadratic Formula. A=1, B=-2, C=1 </li></ul><ul><li>So for B plug in –2. For C plug in 1 and for A plug in 1. </li></ul>
  10. 10. *Fifth Step*
  11. 11. *Sixth Step* <ul><li>Substitute the variables in the equation and solve what is under the radical first. </li></ul>
  12. 12. *Seventh Step* <ul><li>Depending on the problem, you will need two answers usually. </li></ul><ul><li>In this problem, you just need one answer since the number under the radical is 0. </li></ul>
  13. 13. *Eighth Step* <ul><li>The very last step you need to add the –2 (B variable) with the radical number and then divide by 2 in this case. </li></ul><ul><li>Since the variable (A) on the bottom was 1 then you would just divide by two. </li></ul>
  14. 14. *Ninth Step* <ul><li>You would multiply the 2 and variable A which would be 1 in this problem. </li></ul>
  15. 15. *Tenth Step* *As you can see the two different steps at the end* Add and subtract to get the final two answers.
  16. 16. *Eleventh Step* When you substitute a number for the variable B and it is a negative number it becomes a positive number. As shown in the example.
  17. 17. *Twelfth Step* <ul><li>A more complex quadratic problem- You simplify the 3 rd step in the example to the –3 + and – radical 5. The last step, simplify the 2 and –8 after by 2…leaving a –4 on the bottom. </li></ul>
  18. 18. *Thirteenth Step* <ul><li>Leaving the five under the radical and coming up with two answers 3+ radical 5 and 3 – radical 5. </li></ul><ul><li>These are some of the examples that will help to solve simple quadratic equations to the more complex ones. </li></ul>
  19. 19. Works Cited <ul><li>BBC - H2g2 - The History Behind The Quadratic Formula.&quot; BBC - Homepage . H2g2's Researchers, 13 Oct. 2004. Web. 11 Oct. 2010. <http://www.bbc.co.uk/dna/h2g2/A 2982567>. </li></ul><ul><li>&quot;Quadratic Formula.&quot; Math Homework Help – Math </li></ul><ul><ul><li>tutor Software – Algebra Help - Teachers Choice Software . Web. 11 Oct. 2010. <http://www.teacherschoice.com.au/Maths_Library/Algebra/Alg_6.htm>. </li></ul></ul>
  20. 20. Works Cited Cont. <ul><li>http://2.bp.blogspot.com/_V8KsSIiGjBk/SsACMEj73KI/AAAAAAAAFIU/vNtErLdchMw/s1600/Quadratic+Formula.gif (Picture) </li></ul><ul><li>http://www.mathwarehouse.com/quadratic/images/formula_solution_-3_and_1.gif (Picture) </li></ul><ul><li>http://img.sparknotes.com/content/testprep/powerimgs/algebra/0002/algebra54.gif (Picture) </li></ul><ul><li>http://www.getenglishlessons.com/wp-content/uploads/2010/01/math_symbol.jpg (Picture) </li></ul><ul><li>http://www.getenglishlessons.com/wp-content/uploads/2010/01/math_symbol.jpg (Picture) </li></ul><ul><li>http://sitemaker.umich.edu/356.dobrowski/files/math.bmp (Picture) </li></ul><ul><li>http://www.ebr.lib.la.us/teens/teenzone/math.png (Picture) </li></ul><ul><li>http://blogs.edweek.org/edweek/curriculum/upload/2008/10/romanian_rule/math-equations.jpg (Picture) </li></ul><ul><li>http://blogs.edweek.org/edweek/curriculum/upload/2008/10/romanian_rule/math-equations.jpg (Picture) </li></ul>