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