3. Student Learning Map

  • Topic:06-Polynomials
  • Subject(s):Math
  • Days:19
  • Grade(s):11
Key Learning:

Higher order polynomials represent real world situations.
Unit Essential Question(s):
 
 
How do the graphs of higher order polynomials represent real world situations?
   
Concept: Polynomial Functions (6.1)
MA.912.A.4.10   MA.912.A.2.6   LA.910.1.6.1  
Concept:

Polynomials and Linear Factors (6.2)

MA.912.A.10.3   MA.912.A.4.10   MA.912.A.4.7   MA.912.A.4.6   MA.912.A.4.5   MA.912.A.2.6   LA.910.1.6.1  
Concept: Dividing Polynomials (6.3)
MA.912.A.10.3   MA.912.A.4.10   MA.912.A.4.6   MA.912.A.4.4   LA.910.1.6.1  
Lesson Essential Question(s):

What situations can be modeled using higher order polynomials? (A)
Lesson Essential Question(s):

How would I know if a linear factor was a factor of a polynomial without using division? (A)

(ET)
Lesson Essential Question(s):

How can polynomials be divided?

 (A)
Vocabulary:

polynomial, polynomial function, degree, standard form, leading coefficient, end behavior

Vocabulary:

relative maximum, relative minimum, Factor Theorem, multiplicity

Vocabulary:

synthetic division, Remainder Theorem

Concept:

Solve Polynomial Equations (6.4)

MA.912.A.10.3   MA.912.A.4.10   MA.912.A.4.9   MA.912.A.4.4  
Concept: Rational Root Theorem (6.5)
MA.912.A.10.3   MA.912.A.7.5   MA.912.A.4.7   MA.912.A.4.6   MA.912.A.4.4   LA.910.1.6.1  
Concept: Fundamental Theorem of Algebra (6.6)
MA.912.A.4.6   MA.912.A.4.5   LA.910.1.6.1  
Lesson Essential Question(s):

How do I solve a polynomial equation?

 (A)
Lesson Essential Question(s):

How does the Rational Root Theorem relate to solving polynomial equations? (A)

(ET)
Lesson Essential Question(s):

How does the Fundamental Theorem of Algebra apply to solving polynomial equations? (A)

(ET)
Vocabulary:

Vocabulary:

Rational Root Theorem, Irrational Root Theorem, Imaginary Root Theorem, conjugate, complex conjugate

Vocabulary:

Fundamental Theorem of Algebra

Additional Information:

Also include Language Arts Benchmarks LA.910.1.6.1 (use of vocabulary) and LA.910.4.2.1 (write in a variety of informational/expository forms, including a variety of technical documents (e.g., how-to-manuals, procedures, assembly directions)), when appropriate.

Prentice Hall Algebra II: (6.1-6.6)

Suggested materials: Graphing calculators

Resources:

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Know - Understand - Do Organizer
Student Learning Map
Vocabulary Report

Acquisition Lesson:

Extending Thinking Lesson:

Vocabulary Report

  • polynomial -
  • Rational Root Theorem -
  • synthetic division -
  • Fundamental Theorem of Algebra -
  • relative maximum -
  • Remainder Theorem -
  • relative minimum -
  • Irrational Root Theorem -
  • polynomial function -
  • Factor Theorem -
  • Imaginary Root Theorem -
  • degree -
  • conjugate -
  • multiplicity -
  • standard form -
  • leading coefficient -
  • complex conjugate -
  • end behavior -