3. Student Learning Map

  • Topic:#2 Quadratic Expressions, Functions, and Equations
  • Subject(s):
  • Days:25
  • Grade(s):9, 10, 11, 12
Key Learning:

Quadratic functions represent a family of curves with complex solutions.

Quadratic equations can be solved using a variety of techniques.

Unit Essential Question(s):
 
 
How do you solve a quadratic equation?  What do the solutions of a quadratic equation represent?  How do you find the maximum/minimum of a quadratic equation? 
   
Concept:  Solving Quadratic Equations
Concept:  Graphing Quadratic Functions
Concept: Applications of Quadratics
Lesson Essential Question(s):

How can factoring be used to solve a quadratic equation?  (A)
How can completing the square be used to solve quadratic equations?  (A)
How can the quadratic formula be used to solve quadratic equations?  (A)
How do you decide which technique to use when solving a quadratic equation?  (A)
Lesson Essential Question(s):

What are the shape and basic characteristics of a quadratic function? (A)
How do you graph a quadratic function in standard form?  (A)
How do you graph a quadratic function in vertex form?  (A)
Lesson Essential Question(s):

 How is the concept of maximum/minimum values used in real-world problems? (A)
How can you determine when a linear/quadratic regression model would be appropriate?  (A)
Additional Information:

Resources:

Vocabulary Report

  • zero-product property -
  • parabola -
  • maximum/minimum -
  • completing the square -
  • vertex of a parabola -
  • linear regression -
  • quadratic formula -
  • axis of symmetry -
  • quadratic regression -
  • relative extrema -
  • line of best fit -
  • standard form -
  • vertex form -