E.1.C: Solve Quadratic Equations with Complex Number Solutions

Quadratics

E.1.a: Solve quadratic equations and inequalities using various techniques, including completing the square and using the quadratic formula.

E.1.b: Use the discriminant to determine the number and type of roots for a given quadratic equation.

E.1.c: Solve quadratic equations with complex number solutions.

E.1.d: Solve quadratic systems graphically and algebraically with and without technology.

C.1.a: Identify complex numbers and write their conjugates.

C.1.b: Add, subtract, and multiply complex numbers.

C.1.c: Simplify quotients of complex numbers.

Vocabulary: axis of symmetry, completing the square, complex conjugate, complex number, discriminant, imaginary number, imaginary unit, maximum value, minimum value, parabola, pure imaginary number, quadratic formula, quadratic function, standard form, vertex form, vertex of a parabola, and zero of a function.

Graphing Quadratics

Day 1 I can graph each function. I can identify the vertex, axis of symmetry, and values of the maximum and minimum point. (all in vertex form)

p. 199 #23-27, 49-52

Day 2 I can graph a quadratic function by finding the y-intercept, axis of symmetry, and vertex. (all in standard form)

p. 206 #9-35odd

Day 3 I can graph a quadratic function given in vertex or standard form.

Practice worksheet

Day 4 Quiz: Quadratic vocabulary and graphing

I can model data with quadratic functions.

Word problem worksheet

Solving Quadratics

Day 5 I can solve quadratics by graphing and factoring.

p. 229 #9-17, 27-35, 43-53odd

Day 6 I can solve quadratics by using the square root property.

p. 237 #12-27

Day 7 I can solve quadratics by completing the square.

p. 237 #34-45

Day 8 I can solve quadratics.

Kuta worksheet

Day 9 Quiz: solving quadratics

I can perform operations with complex numbers.

p. 253 #8-32

Day 10 I can find complex solutions of quadratic equations.

p. 253 #33-44, 64-66

Day 11 I can solve quadratic equations by using the Quadratic Formula.

p. 245 #11-21odd, 25-35odd, 59-65

Day 12 I can solve systems of linear and quadratic equations by graphing and substitution.

p. 262 #8-19

Day 13 Quadratic Review

Quality Core practice questions

Day 14 Quadratic Review

Day 15 TEST: Quadratics