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CCGPS Adv Alg Unit 1A: Polynomials
Unit Essential Question: How do I analyze polynomial functions?
Day
Day 1
M – 8/4
Day 2
T- 8/5
Topic
Classify by
Terms &
Degree,
Add &
Subtract
Polynomials
Multiplying
Polynomials,
Binomial
Expansion
Daily Essential
Question
How can we
write a
polynomial in
standard form?
How do I use
various
operations with
Polynomials?
How do I multiply
polynomials?
How can I use
Binomial
Expansion as
another form of
multiplying?
Day 3
W – 8/6
All
Operations,
Function
Notaion
What is function
notation? How
can I use this
notation with
polynomial
operations.
Day 4
Th – 8/7
Dividing:
Long and
Synthetic
How do I divide
polynomial
functions?
QUIZ
What have I
learned about
polynomial
operations?
Day 5
F – 8/8
Day 6
M – 8/11
Factoring:
GCF, All
Trinomials
Day 7
T – 8/12
Factoring:
DOTS, S&D
of Cubes,
Grouping
Day 8
W – 8/13
All
Factoring:
Solve by
Factoring
How do I factor
trinomials?
What are the
methods for
factoring
polynomials with
4 terms? What
about sums &
diffs of cubes?
What are the
methods for
factoring
polynomials?
How does
factoring help
me solve for x?
Standards
MCC9‐12.A.SSE.1a Interpret parts of an
expression, such as terms, factors, and
coefficients.
MCC9‐12.A.APR.1 Understand that
polynomials form a system analogous to the
integers, namely, they are closed under the
operations of addition, subtraction, and
multiplication; add, subtract, and multiply
polynomials.
MCC9‐12.A.APR.5 (+) Know and apply that
the Binomial Theorem gives the expansion of
(x + y)n in powers of x and y for a positive
integer n, where x and y are any numbers,
with coefficients determined for example by
Pascal’s Triangle
MCC9‐12.A.APR.1 Understand that
polynomials form a system analogous to the
integers, namely, they are closed under the
operations of addition, subtraction, and
multiplication; add, subtract, and multiply
polynomials.
MCC9‐12.F.IF.8 Write a function defined by an
expression in different but equivalent forms to
reveal and explain different properties of the
function.
Assignments
HW: WS Polynomial
Operations #1-14
HW: Multiplying and
Binomial Expansion
WS #1-8
DC: Classify, Add
and Subtract
Polynomials
HW: WS Function
Operations and
Review
DC: Binomial
Expansion
HW: Dividing and
Quiz Review
Catch up on any
missed HW Days 1-4
MCC9‐12.F.IF.8a Use the process of factoring
and completing the square in a quadratic
function to show zeros, extreme values, and
symmetry of the graph, and interpret these in
terms of a context.
MCC9‐12.F.IF.8a Use the process of factoring
and completing the square in a quadratic
function to show zeros, extreme values, and
symmetry of the graph, and interpret these in
terms of a context.
MCC9‐12.A.CED.1 Create equations and
inequalities in one variable and use them to
solve problems. Include equations arising from
linear and quadratic functions, and simple
rational and exponential functions.
HW: WS Factoring 1
HW: WS Factoring 2
DC: Factoring
HW: WS Factoring 3
Day 9
Th – 8/14
Review
Am I ready for
the test?
All Above
HW: WS Review
Test 1A
Day 10
F – 8/15
Unit 1A Test:
Polynomials
What do I know
about
Polynomial
Functions?
All above
none
ESSENTIAL QUESTIONS
• How can we write a polynomial in standard form?
• How can we write a polynomial in factored form?
• How do we add, subtract, multiply, and divide polynomials
• In which operations does closure apply?
• How can we apply Pascal’s Triangle to expand?
• What is the Remainder Theorem and what does it tell us?
• What is the Rational Root Theorem and what does it tell us?
• What is the Fundamental Theorem Algebra and what does it tell us?
• How can we solve polynomial equations?
• Which sets of numbers can be solutions to polynomial equations?
• What is the relationship between zeros and factors?
• What characteristics of polynomial functions can be seen on their graphs?
• How can we solve a system of a linear equation with a polynomial equation
CONCEPTS/SKILLS TO MAINTAIN
It is expected that students will have prior knowledge/experience related to the concepts and
skills identified below. It may be necessary to pre-assess in order to determine if time needs to be
spent on conceptual activities that help students develop a deeper understanding of these
ideas.
• Combining like terms and simplifying expressions
• Long division
• The distributive property
• The zero property
• Properties of exponents
• Simplifying radicals with positive and negative radicands
• Factoring quadratic expressions
• Solving quadratic equations by factoring, taking square roots, using the quadratic formula and
utilizing graphing calculator technology to finding zeros/ x-intercepts
• Observing symmetry, end-behaviors, and turning points (relative maxima and relative minima)
on graphs
• Writing explicit and recursive formulas for geometric sequences
Georgia Department of Education Common Core Georgia Performance Standards Framework
Teacher Edition