Algebra II

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2011-12 Instructional Pacing At-a-Glance
First Twelve Weeks	Second Twelve Weeks	Third Twelve Weeks
*PH Chapter 1* Lesson 1-6 SOL AII.4 - Solve algebraically and graphically, a) absolute value equations and inequalities. Graphing calculators will be used for solving and for confirming the algebraic solutions. (Lessons 1-1 through 1-5 are primarily a review of Algebra I topics; use as needed.)	*PH Chapter 5* SOL AII.1 - Given rational, radical, or polynomial expressions, will d) factor polynomials completely. SOL AII.6 - Recognize the general shape of function (polynomial) families and 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. SOL AII.7 - Investigate and analyze functions (quadratics) algebraically and graphically, including: b) zeros; d) intervals in which a function is increasing or decreasing; and f) end behavior. SOL AII.8 - 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. SOL AII.9 - 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 functions.	*PH Chapter 8* (Add: PH Standards Review: Functions [p. VA 10] after Lesson 8-2) SOL AII.1 - Given rational, radical, or polynomial expressions, will a) add, subtract, multiply, divide, and simplify rational algebraic expressions. SOL AII.4 - Solve algebraically and graphically, c) equations containing rational algebraic expressions. Graphing calculators will be used for solving and for confirming the algebraic solutions. SOL AII.6 - Recognize the general shape of function (rational) families and 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. SOL AII.7 - Investigate and analyze functions (quadratics) algebraically and graphically. Key concepts include a) domain and range, including limited and discontinuous domains and ranges; and e) asymptotes. Graphing calculators will be used as a tool to assist in investigation of functions. SOL AII.10 - Identify, create, and solve real-world problems involving inverse variation, joint variation, and a combination of direct and inverse variations.
*PH Chapter 2* SOL AII.6 - Recognize the general shape of function (absolute value) families and 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. SOL AII.7 - Investigate and analyze functions (linear) algebraically and graphically. Key concepts include c) x- and y-intercepts. SOL AII.9 - Collect and analyze data, determine the equation of the curve (line) of best fit, make predictions, and solve real-world problems, using mathematical models.	*PH Chapter 6* (Add: PH Lesson VA-2 after Lesson 6-6) SOL AII.1 - 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; and c) write radical expressions as expressions containing rational exponents and vice versa. SOL AII.4 - Solve algebraically and graphically, d) equations containing radical expressions. Graphing calculators will be used for solving and for confirming the algebraic solutions. SOL AII.7 - Investigate and analyze functions (quadratics) algebraically and graphically. Key concepts include: 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.	*PH Chapter 9* SOL AII.2 - 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 include ∑ and a_n.
*PH Chapter 3* Review linear systems; introduce systems with three variables.	*PH Chapter 7* (Add: PH Standards Review: Internal Behavior [p. VA 12] and Scatterplots [p. VA 14] after Lesson 7.3) SOL AII.7 - Investigate and analyze functions (quadratics) algebraically and graphically. Key concepts include d) intervals in which a function is increasing or decreasing; e) asymptotes;and g) inverse of a function. Graphing calculators will be used as a tool to assist in investigation of functions. SOL AII.9 - 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 exponential and logarithmic functions.	PH Lessons 11-1 and 11-9 PH Concept Byte p. 740 PH Lesson VA-3 (See Also: VDOE Technical Assistance Document for 2009 Standard AII.11) SOL AII.11 - Identify properties of a normal distribution and apply those properties to determine probabilities associated with areas under the standard normal curve. SOL AII.12 - Compute and distinguish between permutations and combinations and use technology for applications.
*PH Chapter 4* (Add: PH Lesson VA-1 after Lesson 4-8) SOL AII.1 - Given rational, radical, or polynomial expressions, will d) factor polynomials completely. SOL AII.3 - Perform operations on complex numbers, express the results in simplest form using patterns of the patterns of i, and identify field properties that are valid for complex numbers. SOL AII.4 - Solve algebraically and graphically, b) quadratic equations over the set of complex numbers. Graphing calculators will be used for solving and for confirming the algebraic solutions. SOL AII.5 - 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. SOL AII.7 - Investigate and analyze functions (quadratics) algebraically and graphically. Key concepts include c) x- and y-intercepts.
Benchmark Test #1: 25 Questions	Benchmark Test #2: 35 Questions Will include 10 "most missed" items from Benchmark #1.	Benchmark Test #3: 35 Questions Will include 10 "most missed" items from Benchmarks #1 & #2

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