SISD Unit Bundles of TEKS/SEs and Pacing Guide Algebra 2

Transcription

1 SISD Unit Bundles of TEKS/SEs and Pacing Guide Algebra 2 UNIT 0 - Preparing for Advanced Algebra Estimated 6 Days TEKS Identify the domain and range of functions. Use the FOIL (First, Outside, Inside, Last) method to multiply binomials. Use various techniques to factor polynomials. Identify and use congruent and similar figures. Use the Pythagorean Theorem and its converse. Group Practice/Assessments Exit Tickets Domain, range, quadrants, mapping, function, population, sample, mean, median, mode, range, variance

2 UNIT 1 - Expressions, Equations, and Inequalities Estimated 16 Days TEKS 6D, 6E, 6F, 7B, 7I Graph and order real numbers and identify the properties of real numbers Evaluate and simplify algebraic expressions Solve equations and solve problems by writing equations Solve and graph inequalities; write and solve compound inequalities Write and solve equations and inequalities involving absolute value opposite, additive inverse, reciprocal, multiplicative inverse, absolute value of a real number, evaluate, term, coefficient, constant term, like terms, equation, solution of an equation, inverse operations, identify, literal equation, compound inequality, absolute value, extraneous solution Splash Number Sense Sort Tournament Review

3 UNIT 2 - Functions, Equations, and Graphs Estimated 20 Days TEKS 2A, 6C, 7I, 8C Graph relations and identify function Write and interpret direct variation equations Graph piecewise defined function Graph linear equations and write equations of lines Write an equation of a line given its slope and a point on the line and given two points; write equations for lines parallel and perpendicular to given lines Analyze transformations of functions Graph absolute value functions; write equations of absolute value functions with transformations Graph two- variable inequalities; write inequalities of absolute value and linear functions; solve practical applications involving inequalities Writing Equations of Lines Piecewise Functions Web Two- Variable Inequalities Task Cards with QR Codes Functions Stations Lab relation, domain, range, function, vertical- line test, function notation, independent variable, dependent variable, direct variation, constant of variation, piecewise function, step function, greatest integer function, slope, linear function, linear equation, y- intercept, x- intercept, slope- intercept form, point- slope form, standard form, parent function, transformation, translation, reflection, vertical stretch, vertical compression, absolute value function, axis of symmetry, vertex, linear inequality, boundary, half- plane, test point

4 UNIT 3 - Linear Systems & Inequalities Estimated 15 Days TEKS 3A, 3B, 3E, 3G, 3F Solve a linear system using a graph or a table Solve linear systems algebraically Solve systems of linear inequalities Solve systems in three variables using elimination and substitution Represent and solve a system of linear equations with a matrix Four Square Linear Systems Task Cards with QR Codes Tournament Review systems of equations, linear system, solution of a system, inconsistent system, consistent system, independent system, dependent system, equivalent systems, systems of linear inequalities, matrix, matrix element, row operation

5 UNIT 4 - Quadratic Functions & Equations 21 Days 4B, 4D, 4F, 4H, 6A, 7A, 7I, 8B Identify and graph quadratic functions, describe and graph transformations of functions, identify the axis of symmetry, vertex, domain and range for a given parabola Graph quadratic functions written in standard form and identify functions from the graphs Solve real- world problems involving systems of linear equations in two and three variables Find common and binomial factors of quadratic expressions and factor special quadratic expressions, perfect square trinomials, difference of two squares Solve quadratic equations by factoring, by estimation using the Table feature of a graphing calculator, by using the Zero feature of a graphing calculator, and solve real- world quadratic model problems Solve quadratic equations by completing the square and rewrite functions by completing the square Solve quadratic equations using the quadratic formula and determine the number of solutions by using the discriminant Identify, graph, and perform operations with complex numbers Solve quadratic equations with pure imaginary solutions and complex solutions; solve linear equations in complex numbers; write quadratic equations given complex roots; find reciprocals of complex numbers TI- 84 Quadratic Discovery Mix- n- Match Factors Quadratic Web Graphing Parabolas Quadratic Formula Calculator Practice Quadratic 4- Way Quadratic Equations Scavenger Hunt

6 parabola, quadratic function, vertex form, axis of symmetry, vertex of the parabola, standard form, factoring, greatest common factor (GCF), perfect square trinomial, F.O.I.L., zero of a function, zero product property, completing the square, quadratic formula, discriminant, roots of a quadratic, imaginary unit, imaginary number, complex number, pure imaginary number, complex number plane, absolute value of a complex number, complex conjugates, complex number solutions, equality property for complex numbers, product property of complex numbers, fundamental theorem of algebra, multiplicative inverse of a complex number, sum and product of the roots

7 UNIT 5 - Polynomial Functions & Equations 21 Days 2A, 6A, 7B, 7C, 7D, 7E, 8A Classify polynomials, graph polynomial functions and describe end behavior Analyze factored form of a polynomial and write polynomial functions from its zeros Solve polynomial equations by factoring and graphing Divide polynomials using long and synthetic division; write linear factors of a polynomial and use the factor theorem for polynomials Solve equations using the rational root theorem; write polynomials from given roots; use Descartes Rule of Signs to determine the type and numbers of roots of a polynomial Use the fundamental theorem of Algebra to solve polynomial equations with complex solutions Perform binomial expansion using Pascal s Triangle G.N.A.W. on Cubics (Graph, Numeric, Algebraic, Written) Polynomial Sort & Match monomial, degree of monomial, polynomial, degree of polynomial, polynomial function, standard form of a polynomial, turning point, end behavior, factor theorem, miltiple zero, relative maximum, relative minimum, sum of cubes, difference of cubes, synthetic division, remainder theorem, rational root theorem, conjugate root theorem, Descartes rule of signs, fundamental theorem of algebra, expand, Pascal s triangle, binomial theorem

8 UNIT 6 - Radical Functions and Rational Exponents 20 Days 2A, 2B, 2C, 2D, 4C, 4E, 4F, 4G, 6A, 7G, 7H Find the nth roots of nth powers Multiply and divide radical expressions Add and subtract radical expressions Simplify expressions with rational exponents Solve square root and other radical equations Add, subtract, multiply, and divide functions; find the composite of two functions Find the inverse of a relation or function Graph radical functions using transformations Compositions 4 Way Radical Functions Stations Lab Graphing Radical Functions Match Nth root, principal root, radicand, index, simplest radical form, rationalize the denominator, like radicals, rational exponent, radical equation, composite function, inverse relation, inverse function, one- to- one function, radical function, square root function

9 UNIT 7 - Exponential & Logarithmic Functions 20 Days 2A, 2C, 5A, 5B, 5C, 5D, 5E, 8A Model exponential growth and decay; graph functions and solve real- world problems of growth and decay Explore the properties of functions of the form y = ab! ; graph exponential functions with base e Write and evaluate logarithmic expressions; convert between exponential and logarithmic forms; graph logarithmic functions using tables and transformations Use properties of logarithms to simplify logarithmic expressions and to find their approximate values; use the change of base formula Solve exponential and logarithmic equations Evaluate and simplify natural logarithmic expressions and solve equations using natural logarithms Exploring Exponential Models M&M Growth and Decay Logarithmic Equations Maze Logarithms Lab Stations exponential function, exponential growth, exponential decay, asymptote, growth factor, decay factor, natural base exponential function, continuously compounded interest, logarithm, logarithmic function, common logarithm, logarithmic scale, change of base formula, exponential equation, logarithmic equation, natural logarithmic function

10 UNIT 8 - Rational Functions 21 Days 2A, 6G, 6H, 6I, 6J, 6K, 6L, 7F Recognize and use inverse variation, joint variation, and combined variation Graph reciprocal functions and translations Identify properties of rational functions and graph rational functions Simplify rational expressions, multiply and divide rational expressions, and identify restrictions on the variables Find Least Common Multiples and Least Common Denominators, add and subtract rational expressions, and simplify complex fractions Solve rational equations algebraically and graphically, and use rational equations to solve problems Solve problems involving work or motion Rational Functions Stations Rational 4- Way Work and Motion Problems Rational Functions Unit Review inverse variation, combined variation, joint variation, reciprocal function, branch, rational function, continuous graph, discontinuous graph, point of discontinuity, removable discontinuity, non- removable discontinuity, rational expression, simplest form, complex fraction, least common multiple, rational equation, work rule, motion problem, radical function

11 UNIT 9 - Conic Sections 13 Days 3C, 3D, 4B Write and graph equations of parabolas Write and graph equations of circles; find the center and radius of circles Find the equations, vertices, and foci of ellipses Find the equations, vertices, foci and asymptotes of hyperbolas Conic Sections Sort and Match parabola, directrix, focus, focal length, vertex, vertex form, circle, center of circle, radius, standard equation of a circle, ellipse, center of ellipse, co- vertices, foci of ellipse, vertices of ellipse, major axis, minor axis, hyperbola, center of hyperbola, foci of hyperbola, vertices of hyperbola, axis of symmetry, conjugate axis, transverse axis