ALGEBRA 2 Link to : Algebra II Curriculum Framework Link to

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ALGEBRA 2
Link to : Algebra II Curriculum Framework
Link to: Enhanced Scope and Sequence
Link to: Algebra II Modules (Henrico County)
Link to: Khan Academy
Week
Dates
SOL
Description
Area of
Concentration
FIRST SEMESTER
1
8/27-8/31
4
Review
The student will solve, algebraically and graphically,
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
2
3
9/4-9/7
9/10-9/14
4, 7
6, 7
The student will solve, algebraically and graphically,
a) absolute value equations and inequalities;
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
a) domain and range, including limited and discontinuous domains
and ranges;
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.
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
d) intervals in which a function is increasing or decreasing;
e) asymptotes;
f) end behavior;
g) inverse of a function; and
 Solving equations
 Solve equations w/
rational expressions
 Solve equations w/
radicals
 Solve inequalities
 solve absolute value
equations
 solve absolute values
inequalities
 functions including
domain, range




Composite functions
Inverse of a function
Graph of function
Transformation
h) composition of multiple functions.
*Graphing calculators will be used as a tool to assist in investigation of functions.
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.
 Scatter plots
4
9/17-9/21
9
5
9/24-9/28
1
The student, given rational, radical, or polynomial expressions, will
d) factor polynomials completely.
 Factoring
6
10/1-10/5
1
The student, given rational, radical, or polynomial expressions, will
a) add, subtract, multiply, divide, and simplify rational algebraic
expressions;
d) factor polynomials completely.
 Factoring
 Simplifying rational
expressions
7
10/8-10/12
1
The student, given rational, radical, or polynomial expressions, will
a) add, subtract, multiply, divide, and simplify rational algebraic
expressions;
 Rational expressions
8
10/15-10/19
1
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; and




9
10/22-10/26
3
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.
 Complex numbers
10
10/29-11/2
4, 7,
8,
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
b) zeros;
 quadratics including
discriments
 Zero, X,Y interprets
 Number of solutions
 Quadratic (complete
the square
11
11/5-11/9
4, 5
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.
The student will solve, algebraically and graphically,
b) quadratic equations over the set of complex numbers;
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
b) zeros;
Simplify radicals
Multiply, divide radicals
Add, subtract radicals
Radicals with fractional
exponent
 Quadratics (complete
the square)
 Systems
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.
12
11/12-11/16
10
WEEK OF BENCHMARK TESTING 11/12-11/20
 Direct/inverse
variations
The student will solve practical problems, using systems of linear inequalities
and linear programming, and describe the results both orally and in writing. A
graphing calculator will be used to facilitate solutions to linear programming
problems.
13
11/1911/20
2
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 will
an.*Standard AII.2 will be assessed in the Functions and Statistics
reporting category. (Revised March 2011)
 Sequence/ series
14
11/2611/30
2, 12
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 will
an.*Standard AII.2 will be assessed in the Functions and Statistics
reporting category. (Revised March 2011)
 Sequence/ series
 Probability
The student will compute and distinguish between permutations and
combinations and use technology for applications.
15
16
12/3-12/7
12/1012/14
12,11
The student will compute and distinguish between permutations and
combinations and use technology for applications.
 Probability
The student will identify properties of a normal distribution and apply those
properties to determine probabilities associated with areas under the standard
normal curve.
 Statistics
SOL REVIEW
17
12/1712/20
SOL REVIEW/SOL TEST
SECOND SEMESTER
18
1/3-1/4
19
1/7-1/11
4
20
1/14-1/18
4, 7
21
22
1/22-1/25
1/28-2/1
Review
6, 7
9
The student will solve, algebraically and graphically,
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
The student will solve, algebraically and graphically,
c) absolute value equations and inequalities;
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
a) domain and range, including limited and discontinuous domains
and ranges;
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.
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
d) intervals in which a function is increasing or decreasing;
e) asymptotes;
f) end behavior;
g) inverse of a function; and
h) composition of multiple functions.
*Graphing calculators will be used as a tool to assist in investigation of functions.
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.
 Solving equations
 Solve equations w/
rational expressions
 Solve equations w/
radicals
 Solve inequalities
 solve absolute value
equations
 solve absolute values
inequalities
 functions including
domain, range




Composite functions
Inverse of a function
Graph of function
Transformation
 Scatter plots
The student, given rational, radical, or polynomial expressions, will
d) factor polynomials completely.
The student, given rational, radical, or polynomial expressions, will
a) add, subtract, multiply, divide, and simplify rational algebraic
expressions;
d) factor polynomials completely.
 Factoring
1
The student, given rational, radical, or polynomial expressions, will
a) add, subtract, multiply, divide, and simplify rational algebraic
expressions;
 Rational expressions
2/25-3/1
1
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; and




27
3/5-3/8
3
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.
 Complex numbers
28
3/11-3/15
4, 7,
8,
WEEK OF BENCHMARK TESTING 3/14-3/22
 quadratics including
discriments
 Zero, X,Y interprets
 Number of solutions
 Quadratic (complete
the square
23
2/4-2/8
1
24
2/11-2/15
1
25
2/18-2/22
26
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
b) zeros;
29
3/18-3/22
3/25-3/29
4, 5
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.
The student will solve, algebraically and graphically,
d) quadratic equations over the set of complex numbers;
The student will investigate and analyze functions algebraically and graphically.
Key concepts include
b) zeros;
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.
SPRING BREAK
 Factoring
 Simplifying rational
expressions
Simplify radicals
Multiply, divide radicals
Add, subtract radicals
Radicals with fractional
exponent
 Quadratics (complete
the square)
 Systems
30
4/2-4/5
10
The student will solve practical problems, using systems of linear inequalities
and linear programming, and describe the results both orally and in writing. A
graphing calculator will be used to facilitate solutions to linear programming
problems.
 Direct/inverse
variations
31
4/8-4/12
2
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 will
an.*Standard AII.2 will be assessed in the Functions and Statistics
reporting category. (Revised March 2011)
 Sequence/ series
32
4/15-4/19
2, 12
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 will
an.*Standard AII.2 will be assessed in the Functions and Statistics
reporting category. (Revised March 2011)
 Sequence/ series
 Probability
The student will compute and distinguish between permutations and
combinations and use technology for applications.
33
4/22-4/26
12,11
The student will compute and distinguish between permutations and
combinations and use technology for applications.
 Probability
The student will identify properties of a normal distribution and apply those
properties to determine probabilities associated with areas under the standard
normal curve.
 Statistics
34
4/29-5/3
SOL REVIEW
35
5/6-5/10
SOL REVIEW/SOL TEST
36
5/13-5/17
SOL REVIEW/SOL TEST
37
5/20-5/21
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