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Warm Up Aug. 26 Solve using the quadratic formula: x 2 +x+2=0

Warm Up Aug. 26 Solve using the quadratic formula: x 2 +x+2=0. Mid-unit 2 Test Wednesday, Aug. 28, 2013 Anything for the unit 1 test may appear on the unit 2 test!! Material from quizzes: Converting general to factored form, then to vertex form Factoring

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Warm Up Aug. 26 Solve using the quadratic formula: x 2 +x+2=0

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  1. Warm Up Aug. 26 Solve using the quadratic formula: x2+x+2=0

  2. Mid-unit 2 Test Wednesday, Aug. 28, 2013 • Anything for the unit 1 test may appear on the unit 2 test!! • Material from quizzes: • Converting general to factored form, then to vertex form • Factoring • Completing the square to write vertex form • Solve quadratic equations by • Factoring • Taking the square root • Completing the square • Quadratic formula (includes using the discriminant to determine the nature of the roots

  3. Standards: MCC9‐12.N.CN.7 Solve quadratic equations with real coefficients that have complex solutions MCC9‐12.A.SSE.2 Use the structure of an expression to identify ways to rewrite it MCC9‐12.A.SSE.3Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.★ MCC9‐12.A.SSE.3a Factor a quadratic expression to reveal the zeros of the function it defines.★ MCC9‐12.A.SSE.3b Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. MCC9‐12.A.REI.4 Solve quadratic equations in one variable. MCC9‐12.A.REI.4a Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2= q that has the same solutions. Derive the quadratic formula from this form.

  4. 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. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b. MCC9‐12.F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.★ MCC9‐12.F.IF.7a Graph linear and quadratic functions and show intercepts, maxima, and minima.★ MCC9‐12.F.IF.8 Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. MCC9‐12.F.IF.8a Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

  5. Solve using the quadratic formula: value of b2-4ac nature of roots: • ( NOT )

  6. is called the discriminant. Its value determines the type, or the nature of the roots, or solutions, of the quadratic equation. For any equation of the form ax2+bx+c=0 where a and a, b, and c are real numbers, if

  7. Review page 353 # 53-59 This is review from unit 1!!! • CW p352#1-31 odd (using the quadratic formula) • p 357 #1-15 odd (use discriminant) • p 376#1-17 odd ( review) • HW p 374#1-10 all, 12-17 all, 20 • Extra practice p 380#67-76, 79-80, 84-87 • p 381#91-95, 97-100 • Use your time wisely! Everyone wants a good grade. Are you willing to do what is required for you to earn a good grade? I am here to help, but you have to do the work.

  8. Warm Up Aug. 27 • Solve by factoring: • Solve by taking the square root: • Solve by completing the square:

  9. Review page 353 # 53-59 This is review from unit 1!!! • CW p352#1-31 odd (using the quadratic formula) • p 357 #1-15 odd (use discriminant) • p 376#1-17 odd ( review) • HW p 374#1-10 all, 12-17 all, 20 • Extra practice p 380#67-76, 79-80, 84-87 • p 381#91-95, 97-100 • Use your time wisely! Everyone wants a good grade. Are you willing to do what is required for you to earn a good grade? I am here to help, but you have to do the work.

  10. Mid-unit 2 Test Wednesday, Aug. 28, 2013 • Material from quizzes: • Converting general to factored form, then to vertex form • Factoring • Completing the square to write vertex form • Solve quadratic equations by • Factoring • Taking the square root • Completing the square • Quadratic formula (includes using the discriminant to determine the nature of the roots

  11. Use your time wisely! If you have problems you have tried and do not understand, ask questions. If you don’t understand problems from the quizzes, ask. If you have not worked every problem assigned for unit 2, work on them now. If you have worked all problems assigned from unit , you can review unit 1 (p380 & 381) Remember, everyone says they want a good grade. Are you willing to do what is required for you to earn a good grade? I am here to help, but you have to do the work. Actions speak louder than words.

  12. Wednesday, August 28, 2013 Mid-unit test

  13. Warm Up August 29 Without a calculator, graph . Label 5 points on your graph.

  14. Complete the Task “Graphing Transformations” (using a graphing calculator) Once you have discovered the patterns for transformations, answer the questions using quadratic functions on the handout. Use the information you have learned to transform the graph of y=f(x) on the second handout.

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