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“Algebra II” – Unit IV
High School Mathematics
“Advanced Algebra – An Algebra II Course”
11 – 14 Days
ESSENTIAL STANDARD
1 - Solves problems throughout this
course that involve:
-selecting appropriate approaches and
tools,
-using estimating strategies to predict
computational results, and
-judging reasonableness of results.
2 - Solves problems that relate concepts
to other concepts and to practical
applications using tools such as scientific
or graphing calculators and computers.
10 - Identifies inverse of relations and
determines if the inverse relation is a
function. (Algebraically and graphically.)
14 - Simplifies expressions containing
integral exponents using the laws of
exponents.
20 - Evaluates expressions with
fractional exponents, and uses fractional
exponents to simplify radical
expressions.
ESSENTIAL
QUESTION
How do we use
problem solving
skills?
DEPTH for
MASTERY
All
How is technology
useful in solving
problems?
All
Throughout
course
All
5.4
*Teacher may also use section
1.5 here
All
*Toolbox
page 254
*May also use extra practice on
page 672.
All
6.1
How do you find an
inverse both
algebraically and
graphically?
How do we use the
properties of
exponents to
simplify
expressions?
-How do you
evaluate expressions
with fractional
exponents?
-How do you write
an expression in
both radical and
exponential form?
Sections
COMMENTS
Throughout
course
*Explain extraneous solutions
ESSENTIAL STANDARD
26 - Graphs quadratic functions and
determines their maximum or minimum
values, the number of zeros, and whether
the zeros are real or imaginary.
28 - Determines quotients of polynomials
using appropriate techniques (monomial
divisor, long or synthetic division) or
graphing tools.
29 - Applies the following theorems to
polynomial equations: Remainder,
Factor, Rational Root, and the
Fundamental Theorem of Algebra.
30 - Approximates real roots of
polynomial equations by using
calculators or computers.
ESSENTIAL
QUESTION
-What is a zero of a
function?
-How do you find
the number of zeros
in a polynomial?
How do you divide
polynomials?
How do you apply
algebraic theorems
to solve polynomial
equations?
How do you find the
zeros using graphing
calculators?
DEPTH for
MASTERY
All
All
Sections
COMMENTS
6.2, 6.3
6.5
All
6.3, 6.5
All
6.4, 6.5
*Explain remainder theorem
using page 624 and rational root
theorem using page 626.