Chapter 9.1 & 9.2 Common Core – F.IF.7.a, A.CED.2, F.IF.4, F.IF.5, F.IF.8a, F.IF.9, & F.BF.3 Graph linear and quadratic functions and show intercepts,

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Presentation transcript:

Chapter 9.1 & 9.2 Common Core – F.IF.7.a, A.CED.2, F.IF.4, F.IF.5, F.IF.8a, F.IF.9, & F.BF.3 Graph linear and quadratic functions and show intercepts, maxima, and minima. Objective – To graph quadratic functions of the form y = ax 2, y = ax 2 + c and y = ax 2 + bx +c.

Ch 9.1 – 9.2 Notes

Chapter 9.1 Solving Quadratic Equations When you solve the Quadratic it tells you where you cross the x-axis. 1)x = 2 & x = 3 (Crosses the x-axis in 2 places) 2) x = -4 & x = -4 (Crosses the x-axis in 1 place) 3) Not factorable (Doesn’t cross the x-axis)

Chapter 9.3 Common Core – A.REI.4.b, N.Q.2, A.APR.3, A.CED.1, & A.CED.4 Solve quadratic equations by inspection, taking square roots. Objective – To solve quadratic equations by graphing and using square roots.

Ch 9.3 Notes Solving Quadratic Equations When you solve the Quadratic it tells you where you cross the x-axis. 1)x = 2 & x = 3 (Crosses the x-axis in 2 places) 2) x = -4 & x = -4 (Crosses the x-axis in 1 place) 3) Not factorable (Doesn’t cross the x-axis)

Chapter 9.4 Common Core – A.REI.4.b, A.SSE.3.a, A.CED.1, & A.F.IF.8a Solve quadratic equations by factoring. Objective – To solve quadratic equations by factoring.

Ch 9.4 Notes

Chapter 9.5 Common Core – A.REI.4.a, N.Q.3, A.SSE.1.a, A.SSE.1.b, A.SSE.3.b., A.CED.1, A.REI.1, A.REI.4.b, & A.F.IF.8a Use the method of completing the square to transform any quadratic equation in s into an equation of the form (x – p) 2 = q Objective – To solve quadratic equations by completing the square.

Ch 9.5 Notes

Chapter 9.6 Common Core – A.REI.4.a, N.Q.3, A.CED.1, & A.REI.4.b Use the method of completing the square to transform any quadratic equation in s into an equation of the form (x – p) 2 = q… Derive the quadratic formula from this form. Objectives – To solve quadratic equations by using the quadratic formula. To find the number of solutions of a quadratic equation.

Ch 9.6 Notes

Chapter 9.7 Common Core – F.LE.a, F.IF.4, F.LE.2, F.LE.3 & S.ID.6a Prove that linear functions grow by equal differences…and that exponential functions grow by equal factors over equal intervals. Objective – To choose a linear, quadratic, or exponential model for data.

Ch 9.7 Notes