3. Student Learning Map

  • Topic:Quadratic Functions
  • Subject(s):Math
  • Days:30
  • Grade(s):9, 10, 11, 12
Key Learning: Quadratic functions represent a family of curves with real or complex solutions. Quadratic equations can be solved using a variety of techniques.
Unit Essential Question(s):
 
 
How do you graph a parabola? What strategies are appropriate when solving a given quadratic equation?
   
Concept: Properties of Quadratics
Concept: Minimum and Maximum
Concept: Vertex Form
Lesson Essential Question(s):

What is the shape and basic properties of the graph of a quadratic function? (A)
How is a quadratic function used to model data? (A)
Lesson Essential Question(s):

How do you find the vertex of a quadratic function? (A)
How is the concept of minimum or maximum values used in real world problems? (A)
Lesson Essential Question(s):

How can you use the values of a, b, and c to write a quadratic function in vertex form? (A)
Concept: Quadratic Expressions and Equations
Concept: Complex Numbers
Concept: Quadratic Solutions by other Methods
Lesson Essential Question(s):

What are the steps to be taken in factoring a quadratic? (ET)
How do you know a radical expression is simplified? (ET)
How is the Zero-Product property used in solving equations? (A)
How is graphing used to solve a quadratic function? (A)
Lesson Essential Question(s):

Why do we need imaginary numbers? (A)
Lesson Essential Question(s):

What number would you add to both sides of the equation in order to complete the square? (A)
Why do we need imaginary numbers? (A)
What steps are necessary to solve a quadratic equation using the quadratic formula? (A)
What number would you add to both sides of the equation in order to complete the square? (A)
How is the discriminant used? (A)
Additional Information:

textbook, graph paper, graphing calculator

Resources:

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • vertex of a parabola -
  • vertex -
  • completing the square -
  • vertex form of a quadratic function -
  • factoring -
  • imaginary number -
  • form -
  • Quadratic Formula -
  • complex number -
  • perfect square trinomial -
  • axis of symmetry -
  • difference of two squares -
  • complex number plane -
  • standard form of a quadratic function -
  • discriminant -
  • zero of a function -
  • of -
  • quadratic function -
  • absolute value of a complex number -
  • parabola -
  • "i" -
  • Zero-Product Property -
  • a -
  • quadratic -
  • function -