Algebra II Pacing Guide: Chapter 4

Big Ideas:
  1. Graphing and writing quadratic functions in several forms.
  2. Solving quadratic equations using a variety of methods.
  3. Performing operations with square roots and complex numbers.

Activating Strategy:Review graphing equations and functions
Key vocabulary:
Parabola, vertex, axis of symmetry, monomial, binomial, trinomial, quadratic equation, root of an equation, square root, radical, radicand, conjugate, imaginary unit, complex number, completing the square, quadratic formula, discriminant, quadratic function
Lesson 1: Graph Quadratic Functions in Standard Form
AP#1:How are the values of a,b, and c in the equation y = ax2+ bx+c related to the graph of a quadratic function?
Assignment:PG 240 #3-36 multiples of 3
Lesson 2:M11.D.2.2.1 Graph Quadratic Functions in Vertex or Intercept Form
AP #2: Why do we write a quadratic function in vertex form or intercept form?
Assignment: PG 249 #3-30 multiples of 3______
Lesson 3:M11.D.2.1.5 Solve x2 + bx + c = 0 by Factoring
AP#3:How can factoring be used to solve quadratic equations when a = 1?
Assignment: PG 255 #3-36 multiples of 3
Lesson 4:M11.D.2.1.5 Solve ax2 + bx + c = 0 by Factoring
AP#4:How can factoring be used to solve quadratic equations when a ≠ 1?
Assignment: PG 263 #4-44 Multiples of 4
Lesson 5:M11.A.1.1.3 Solve Quadratic Equations by Finding Square Roots
AP#5:How can you use square roots to solve a quadratic equation?
Assignment: PG 269 #2-30 Even
Lesson 6: Perform Operations with Complex Numbers
AP#6: How do you perform operations on complex numbers?
Assignment: PG 279 ##4-26 Even
Lesson 7: Complete the Square
AP#7: How is the process of completing the square used to solve quadratic equations?
Assignment: PG 288 #3-30 Multiples of 3
Lesson 8: Use the Quadratic Formula and the Discriminant
AP#8: How do you use the quadratic formula and the discriminant?
Assignment: PG 296 #4-39 Multiples of 4
Extended Thinking Activity: Animation Problems - Classzone
SummarizingStrategy:Review main conceptspgs323/Review for exam: Practice Test
Big Ideas:
  1. Graphing and writing quadratic functions in several forms.
  2. Solving quadratic equations using a variety of methods.
  3. Performing operations with square roots and complex numbers.

Key vocabulary:
Parabola, vertex, axis of symmetry, monomial, binomial, trinomial, quadratic equation, root of an equation, square root, radical, radicand, conjugate, imaginary unit, complex number, completing the square, quadratic formula, discriminant, quadratic function
Lesson 1: Graph Quadratic Functions in Standard Form
AP#1: How are the values of a,b, and c in the equation y = ax2+ bx+c related to the graph of a quadratic function?
Assignment:
Lesson 2: M11.D.2.2.1 Graph Quadratic Functions in Vertex or Intercept Form
AP #2: Why do we write a quadratic function in vertex form or intercept form?
Assignment: ______
Lesson 3: M11.D.2.1.5 Solve x2 + bx + c = 0 by Factoring
AP#3:How can factoring be used to solve quadratic equations when a = 1?
Assignment:
Lesson 4: M11.D.2.1.5 Solve ax2 + bx + c = 0 by Factoring
AP#4: How can factoring be used to solve quadratic equations when a ≠ 1?
Assignment:
Lesson 5: M11.A.1.1.3 Solve Quadratic Equations by Finding Square Roots
AP#5: How can you use square roots to solve a quadratic equation?
Assignment:
Lesson 6: Perform Operations with Complex Numbers
AP#6: How do you perform operations on complex numbers?
Assignment:
Lesson 7: Complete the Square
AP#7: How is the process of completing the square used to solve quadratic equations?
Assignment:
Lesson 8: Use the Quadratic Formula and the Discriminant
AP#8: How do you use the quadratic formula and the discriminant?
Assignment: