STUDENT LEARNING MAP
Content Map of Unit:
Algebra II – Chapter 6
Topic: Polynomial Functions
Grade: Sr. High
Key Learning(s):
Unit Essential
Question(s):
Optional Instructional Tools:
Add, subtract, multiply divide, and
factor polynomials.
Analyze and graph polynomial
functions.
Evaluate polynomial functions and
solve polynomial equations
Find factors and zeros of
polynomials functions.
When can real-world situations
use a linear equation to model a
situation?
When can they not?
When should we use a
polynomial function as our model
equation?
Concept:
Concept:
Concept:
Concept:
Properties of Exponents.
Operations with Polynomials
Dividing Polynomials
Polynomial Functions
Lesson Essential Questions:
Lesson Essential Questions:
Lesson Essential Questions:
Lesson Essential Questions:
How can you use addition when
multiplying powers of the same
variable?
What property can be used to
multiply two polynomials?
Why is it important that you only
add or subtract like terms when
using long division to divide a
polynomial by a polynomial with
more than on term?
What two methods can you use to
find f(2) of a polynomial function?
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
simplify, standard notation,
scientific notation, dimensional
analysis
degree of a polynomial
synthetic division
polynomial in one variable, leading
coefficient, polynomial function, end
behavior
How can we identify graphs
of polynomial functions?
Concept:
Concept:
Concept:
Concept:
Analyze Graphs of Polynomial
Functions
Solving Polynomial Equations
The Remainder and Factor
Theorems
Roots and Zeros
Lesson Essential Questions:
Lesson Essential Questions:
Lesson Essential Questions:
Lesson Essential Questions:
Where are the zeros of a
polynomial function located?
Once a polynomial function is in
the form: a2 + 2ab + b2, how can
you factor it?
What two methods can you use to
find f(2) of a polynomial function?
How can you use the number of
sign changes in a function to
determine the number and type of
real zeros of a function?
Vocabulary:
Vocabulary:
Vocabulary:
Vocabulary:
Location Principle, relative
maximum, relative minimum
quadratic form
synthetic substitution, depressed
polynomial
Concept:
Rational Zero Theorem
Lesson Essential Questions:
How can you use the constant
term and the leading coefficient to
find all the possible rational zeros
of a function?
Vocabulary:
Sect 6-1 Properties of Exponents 11-40 all,43-47 odd, 48
Sect 6-2 Operations with Polynomials 15-37 odd, 38-51 all,57-62 all, 75-78 all
Sect 6-3 Dividing Polynomials 13-35 odd,36-40 all, 48-56 all
Sect 6-4 Polynomial Functions 12-27 all, 29-35 odd, 36-40 even, 46-48 all, 50-55 all
Sect 6-5 Analyzing Graphs of Polynomial Functions 11-17 odd, 19-22 all, 27-31 odd,
39-41 all,44,52-54 all
Sect 6-6 Solving Polynomial Equations 14-35 all, 39-47 all, 60-62 all, 71
Sect 6-7 The Remainder and Factor Theorem 11-27 odd, 28-33 all, 46-50 all
Sect 6-8 Roots and Zeros 11-31 odd, 33-37 all, 39-43 all,51-53 all, 56
Sect 6-9 Rational Zero Theorem 11-29 odd, 30-34 all, 38, 39,44-46 all