a) add, subtract, multiply, divide, and simplify rational algebraic

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Algebra 2 – Full Year
Cortez TRAK
No.
of
Day
s
1
Dates
SOL
Description
Cortez Alignment
August 18
8
August 19-28
AII.11
The student will identify properties of a normal distribution and
apply those properties to determine probabilities associated with
areas under the standard normal curve.
Normal Distribution
Area Under a Curve
Normal Distribution (Review)
8
August 29 –
September 11
AII.1d
The student, given rational, radical, or polynomial expressions, will
d) factor polynomials completely.
Intro to Factoring
Methods of Factoring
Properties and Factorinig
6
September 12-19
Pre – Test
AII.1a
Common Assessment CA AII.11, 1d
The student, given rational, radical, or polynomial expressions, will
a) add, subtract, multiply, divide, and simplify rational
algebraic expressions
9
September 22 –
October 2
AII.1 b,c
1
October 3
9
October 6-16
AII.11
AII.1 a,b,c
AII.2
The student, given rational, radical, or polynomial expressions, will
b) add, subtract, multiply, divide, and simplify radical
expressions containing rational numbers and
variables, and expressions containing rational
exponents;
c) write radical expressions as expressions containing
rational exponents and vice versa
Common Assessment CA AII.1 a,b,c
Unit Test
The student will investigate and apply the properties of arithmetic
and geometric sequences and series to solve real-world
problems, including writing the first n terms, finding the
nth term, and evaluating summation formulas. Notation
an.
Rational Expressions 1
Complex Rationals 2
Rational Expressions (Review)
Simplify Radicals
Simplify Radicals 3
Rational Exponents
Radical Expressions (Review)
Geometric Sequences
Sequence and Series
(Review)
7
7
October 20-28
October 29 –
November 7
AII.3
AII.4a
The student will perform operations on complex numbers, express
the results in simplest form using patterns of the powers of i, and
identify field properties that are valid for the complex numbers.
The student will solve, algebraically and graphically,
a) absolute value equations and inequalities;
Common Assessment CA AII.2,3,4a
b) quadratic equations over the set of complex
numbers;
c) equations containing rational algebraic expressions;
and
d) equations containing radical expressions.
Graphing calculators will be used for solving and for
confirming the algebraic solutions.
Imaginary Numbers
Imaginary Numbers (Review)
Absolute Value Equations
and Inequalities
Absolute Value (Review)
5
November 10-14
AII.4b
5
7
November 17-21
November 24 –
December 4
AII.4c
AII.4d
1
December 5
10
December 8-19
6
January 7-14
AII.5
6
January 15-23
AII.9
The student will collect and analyze data, determine the equation of
the curve of best fit, make predictions, and solve real-world
problems, using mathematical models. Mathematical models will
include polynomial, exponential, and logarithmic functions.
Line/Curve of Best Fit
Data and Best Fit
(Review)
6
January 26 –
February 2
AII.10
The student will identify, create, and solve real-world problems
involving inverse variation, joint variation, and a combination of
direct and inverse variations.
Inverse/Joint Variation
Variation (Review)
1
February 3
AII.5
AII.9
AII.2
AII.3
AII.4
a,b,c,d
Quadratic Equations 1
Quadratics (Review)
Radical Equations
Radical/Rational Eq (Review)
Common Assessment CA AII.4 b,c,d
Unit Test
Pacing Calibration
Project Work
Cumulative Review
Midterm Exam
The student will solve nonlinear systems of equations, including
linear-quadratic and quadratic-quadratic, algebraically and
graphically. Graphing calculators will be used as a tool to visualize
graphs and predict the number of solutions.
Common Assessment CA AII.5,9,10
Unit Test
Linear/Non-linear Systems
Linear Quadratic Systems
(Review)
AII.10
AII.7 g,h
7
February 4-12
7
February 16-24
AII.7
a,b,c,d,e,f
8
February 25 –
March 6
AII.8
4
March 9-12
AII.6
6
March 16-23
AII.6,7,8
1
March 24
7
March 25 – April 2
AII.6
AII.7
AII.8
AII.12
1
April 3
25
April 13 – May 15
The student will investigate and analyze functions algebraically and
graphically. Key concepts include
g) inverse of a function; and
h) composition of multiple functions
Evaluate/Compose Function
The student will investigate and analyze functions algebraically and
graphically. Key concepts include
a) domain and range, including limited and
discontinuous domains and ranges;
b) zeros;
c) x- and y-intercepts;
d) intervals in which a function is increasing or
decreasing;
e) asymptotes;
f) end behavior
The student will investigate and describe the relationships among
solutions of an equation, zeros of a function, x-intercepts of a graph,
and factors of a polynomial expression.
Domain and Range
End Behavior
Functions (Review)
Common Assessment CA AII.7,8
The student will recognize the general shape of function (absolute
value, square root, cube root, rational, polynomial, exponential, and
logarithmic) families and will convert between graphic and symbolic
forms of functions. A transformational approach to graphing will be
employed. Graphing calculators will be used as a tool to investigate
the shapes and behaviors of these functions.
Polynomial Functions 2
Zeros (Review)
Transformational Graphing
Rational Functions
Exponential and Logarithmic
Rational Functions (Review)
Transformations and Poly
(Review)
Common Assessment CA AII.6
Review and relate these 3 standards.
Unit Test
The student will compute and distinguish between permutations and
combinations and use technology for applications.
Common Assessment CA AII.12
Post – Test
SOL Review/Testing
Combinations
Permutations and Combo
(Review)
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