1. This formula finds the solution(s) for x in any quadratic equation.

2. ax 2 + bx + c = 0 isolate x’s on one side ax 2 + bx = -c divide each term by a Given

3. complete the square write as a binomial square find common denominator

4. isolate the x take the square root of both sides combine fractions on the right

5. separate the radical simplify the denominator combine the fractions

6. 2a

7. Quadratic Formula Worksheet.pdf 1.Have the students work through the problems in class using the formula. Use calculators to solve the square roots. Solve to three decimal places.(This is necessary to verify answers to calculator portion of the lesson.)

8. O Turn on calculator O Go to PRGM button O Scroll over to new O Press Enter O Press Alpha O Type QUAD O Press Enter O Press Program O Scroll to I/O O Scroll down to #8 ClrHme O Press Enter

9. O Press PRGM O Scroll over to I/O O Go to #1 Input press enter O Type “A=“,A (The quotes must be included) O Scroll over to I/O O Go to #1 Input press enter O Type “B=“,B (The quotes must be included) O Scroll over to I/O O Go to #1 Input press enter O Type “C=“,C (The quotes must be included)

10. O Press PRGM O Scroll over to I/O O Go to #3 Disp O Press Enter O Type “(-B +√(B^2-4AC))/(2A)” O Press PRGM O Scroll over to I/O O Go to #3 Disp O Press Enter O Type “(-B -√(B^2-4AC))/(2A)” O Programming complete.

11. O The final program should look like this:

12. O How to get to the Quad Program O Press PRGM O Press Enter O Type in your “A”, “B”, and “C” values you must press enter after each one.

13. Quadratic Formula Worksheet.pdf 1.Send the same worksheet home with the students to work through the problems with the calculator program in this lesson. Now the students can compare the answers from the in class assignment to the take home calculator assignment.