and Curriculum Framework Publisher: McGraw-Hill School Education Text: Algebra 2 Copyright date 2018 AII.1 The student will a) add, subtract, multiply, divide, and simplify rational algebraic expressions; b) add, subtract, multiply, divide, and simplify radical expressions containing rational numbers and variables, and expressions containing rational exponents; and TE: 467, 472-474, 476, 479-481 CT: Lessons: Online in ConnectED: In the dropdown menu icon go to Resources - Program Resources - Additional Content - find and click: Operations with Radical Expressions; Rational Exponents c) factor polynomials completely in one or two variables. TE: P7-P8,179, 184-186,274-275 Algebra II 1 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.2 The student will perform operations on complex numbers and express the results in simplest form using patterns of the powers of i. TE: 172, 174,176-177, 178 Algebra II 2 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.3 The student will solve a) absolute value linear equations and inequalities; b) quadratic equations over the set of complex numbers; CT: Lessons: 1-5; Online in ConnectED: In the dropdown menu icon go to Resources - Program Resources - Additional Content - find and click: Solving Absolute Value Expressions; Solving Compound and Absolute Value Inequalities TE: 195, 204, 205 c) equations containing rational algebraic expressions; and TE: 508, 513, 515, 517-518 d) equations containing radical expressions. TE: 352, 356-357, 359-360 Algebra II 3 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.4 The student will solve systems of linear-quadratic and quadratic-quadratic equations, algebraically and graphically. CT: Lessons: Online in ConnectED: In the dropdown menu icon go to Resources - Program Resources - Additional Content - find and click: Graphing Technology Lab: Linear-Nonlinear Systems; Solving Linear-Nonlinear Systems Algebra II 4 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.5 The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve practical problems, including writing the first n terms, determining the n th term, and evaluating summation formulas. Notation will include and an. CT: Lessons: 6-3; Online in ConnectED: In the dropdown menu icon go to Resources - Program Resources - Additional Content - find and click: Arithmetic Sequences and Series Algebra II 5 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.6 For absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic functions, the student will a) recognize the general shape of function families; and TE: 118-119, 255, 256, 345, 373, 398, 491 b) use knowledge of transformations to convert between equations and the corresponding graphs of functions. TE: 125-126, 128, 374, 485 Algebra II 6 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.7 The student will investigate and analyze linear, quadratic, absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic function families algebraically and graphically. Key concepts include a) domain, range, and continuity; TE: 87-88, 121, 154, 338, 345, 373, 483 b) intervals in which a function is increasing or decreasing; TE: 105, 263-264, 266-268 c) extrema; TE: 105, 154, 263-264, 266-268 d) zeros; e) intercepts; TE: 293, 263-264, 294-297, 298-299 TE: 133, 135-136,152, 156-157 f) values of a function for elements in its domain; TE: 87-88, 121, 154, 338, 345, 373, 483 Algebra II 7 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.7 The student will investigate and analyze linear, quadratic, absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic function families algebraically and graphically. Key concepts include g) connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs; TE: 89, 92, 151-155, 156, 264-265, 373-377 h) end behavior; TE: 255, 258-259, 338, 345 i) vertical and horizontal asymptotes; TE: 373, 485,492-494, 487, 488 Algebra II 8 of 14 Virginia Department of Education 2017
and Curriculum Framework j) inverse of a function; and TE: 329-332, 330, 333-334,397 k) composition of functions algebraically and graphically. TE: 322, 325-327, 328 Algebra II 9 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.8 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. TE: 275-275, 278, 289, 291, 294-297, 298-299 Algebra II 10 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.9 The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of quadratic and exponential functions. TE: 166, 375, 405-410, 411-413 Algebra II 11 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.10 The student will represent and solve problems, including practical problems, involving inverse variation, joint variation, and a combination of direct and inverse variations. TE: 500, 501-503, 504-506 Algebra II 12 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.11 The student will a) identify and describe properties of a normal distribution; TE: 566, 567, 570-571, 572 b) interpret and compare z-scores for normally distributed data; and TE: 568, 570, 571 c) apply properties of normal distributions to determine probabilities associated with areas under the standard normal curve. TE: 567, 569, 570, 571, 572 Algebra II 13 of 14 Virginia Department of Education 2017
and Curriculum Framework AII.12 The student will compute and distinguish between permutations and combinations. TE: P9-P11, P12 Algebra II 14 of 14 Virginia Department of Education 2017