3. Student Learning Map

  • Topic:8) Factoring Polynomials
  • Subject(s):Math
  • Days:25
  • Grade(s):10, 11, 12
Key Learning:

Factoring is a method used to change the form of a polynomial and can be used to solve quadratic equations.

Unit Essential Question(s):
 
 

How do I factor a polynomial?

   
Concept:

Greatest Common Factor

Pearson: 1.1, 15.1, 15.3

Glencoe: 10.1

Concept:

Factoring Trinomials

Pearson: 3.2, 15.2, 15.3

Glencoe: 10.2

Concept:

Factoring Special Forms

Pearson: 15.4, 15.5

Glencoe: 10.3 through 10.6

Lesson Essential Question(s):

How do I use the greatest common factor to factor polynomials?

(A)
Lesson Essential Question(s):

How do I factor a trinomial (with a leading coefficient equal to 1 and greater than 1)? (A)

(ET)
Lesson Essential Question(s):

What methods do I use when given special forms of polynomials to factor? (A)

(ET)
Concept:

Solving Polynomial Equations

Pearson: 15.6

Glencoe: 10.7

Concept:
Concept:
Lesson Essential Question(s):

How do I use factoring to solve an equation?

(A)

How do I use the Quadratic Formula to solve an equation?

(A)
Lesson Essential Question(s):
Lesson Essential Question(s):
Vocabulary:

Vocabulary:

Additional Information:

Liberal Arts Math: A Bridge from Algebra to Geometry (Pearson/Prentice Hall) Chapter 15

Integrated Math Course 1 (Glencoe) Chapter 10

Prentice-Hall Pre-Algebra and Algebra I test generator

Also include Language Arts Benchmarks: LA.910.1.6.1 (use of vocabulary), LA.910.1.6.2 (read and discuss text), LA.910.1.6.5 (relate new vocabulary), and LA.910.3.1.3 (use organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram)).

Resources:

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Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • factoring -
  • zero product principle -
  • difference of two squares -
  • leading coefficient -
  • perfect square trinomials -
  • factors -
  • root -
  • prime factors -
  • sum and difference of cubes -
  • Quadratic Formula -
  • greatest common factor (GCF) -
  • prime number -
  • factoring by grouping -