Algebra II Curriculum Map (2014-2015) Time TopicsFrameEssential pacing Questions Aug. Unit 1-6-26 Introduction to Course and Review Learner Targets-Objectives **I Can… Algebra I Skills Review - demonstrate knowledge of properties of real numbers - evaluate and simplify expressions solve linear equations and inequalities solve word “work” problems Compound inequalities -solve compound linear inequalities Absolute Value equations and inequalities -solve abs. value equations and inequalities Aug. 27Sept. 12 Unit 2— Functions and Relations Functions and Relations -Distinguish between functions and relations o Domain/Range -identify the domain and range of functions and relations o Independent/dependent variables -recognize independent/dependent variables in relations and functions Parent Functions -recognize the graph and equations of the Activities -Assessments -Fundamental Algebra I Skills assessment - Course PreTest -Class Openers: Number Word Problems -Worksheets - Quizzes -Unit Test Resources Amsco—Alg. II ConnectionsReading/Writing/ AH/PLCS Formulate answers in sentence form. Larson, Burger, and Glencoe Alg. II texts Quality Core Item Pool (MAP Testing as scheduled) -Class Opener Focus: Consecutive Integers) -Map Activity w/ Narrative + Cat, Dog, Alligator Activity -Activity (i.e. hula hoop, ball bounce, etc.) -Unit Review -Unit Test Amsco—Alg. II Narrative—map activity Larson, Burger, and Glencoe Alg. II texts Art—cat, dog, alligator activity TI-83 Graphing Calculator Math iXL parent functions Quality Core Algebra II Curriculum Map (2014-2015) Graphing lines o Tables Item Pool -graph a line from a table of values -write a table of values for a given line o Slope-intercept -graph a line from slope-intercept o X- and y- intercepts -graph a line from x- and y-intercepts Slope (Rate of Change) o Parallel/Perpendicular -Use the slope of the line to determine if lines are parallel or perpendicular Equations of Lines -Identify and write an equation of a line in the following forms: o Standard form o Slope-intercept form o General form Midpoint and Distance -Given two points I can calculate the midpoint of and the distance between the points. Line of Regression -calculate line of regression by hand and with technology Sept. 15Sept. 23 Unit 3— Special Functions Graphing Special Functions with Transformations o Piecewise -Class Opener Focus: Motion Word Problems Amsco—Alg. II Larson, Sports application—0pen Response Algebra II Curriculum Map (2014-2015) -Graph a piecewise function from an equation -Write a piecewise function from a graph o Absolute Value - Graph an abs. value function from an equation -Write an abs. value function from a graph o Greatest Integer - Graph a greatest integer function from an equation -Write a greatest integer function from a graph o Constant Graph a constant function from an equation -Write a constant function from a graph o Identity - Graph a identity function from an equation -Write a identity function from a graph Linear Inequalities (Shading) -Identify the solution region for linear inequalities by graphing. Absolute Value Inequalities (Shading) - Identify the solution region for abs. value inequalities by graphing. Text assignments Group work Burger, and Glencoe Alg. II texts TI-83 Sports Graphing application— 0pen Response Calculator Math iXL Math iXL Review sessions Quality Core Item Pool Math iXL Unit Test Kutasoftware Algebra II Curriculum Map (2014-2015) Sept. 24Oct. 2 Unit 4— Systems of Equations and Inequalities Systems of Equations o Graphing -solve a system of linear equations by graphing. o Substitution - solve a system of linear equations by substitution. -Class Opener Focus: Coin Word Problems -Real world applications -group projects -Unit Review -Unit Test o Elimination - solve a system of linear equations by Amsco—Alg. II Larson, Burger, and Glencoe Alg. II texts TI-83 Graphing Calculator elimination. o Types of Systems Math iXL -identify and describe the three types of systems (i.e. consistent dependent, consistent independent, and inconsistent) Quality Core Item Pool Linear Systems of Inequalities - Identify the solution region for a system of Math iXL Kutasoftware linear inequalities by graphing and shading. Oct. Unit 5— 13Matrices Oct. 22 Add, Subtract, Multiply and Scalar operations -perform operations on matrices. Equal Matrices -describe equal matrices Determinants (2x2 and 3x3) -calculate the determinants of 2x2 and 3x3 -Class Opener Focus: Per Cent and Percentage Problems - Word Problems -Real world applications Algebra II Curriculum Map (2014-2015) matrices with and without technology. Area using matrices -find the area of a triangle using matrices. -group projects -Unit Review -Unit Test 2x2 inverse -calculate the inverse of a 2x2 matrix with and without technology. Cramer’s Rule (Core Course— OMIT) -solve a 2x2 linear system using Cramer’s Rule. Solving system using inverse matrices (Calculator only) Oct. 23Nov. 7 Unit 6— Polynomials Exponent Rules -Simplify expressions involving powers Scientific Notation -perform operations using scientific notation All 4 operations with Polynomials -add and subtract polynomials -multiply polynomials using distributive property, FOIL, Sum and Difference, and Squaring a Binomial -divide polynomials using long and synthetic division. Nov. 10Nov. 25 Unit 7— Factoring Greatest Common Factor (GCF) Difference of 2 Squares (D2S) Perfect Square Trinomial (PTS) General Trinomial (GT) -Class Opener Focus: Mixture Word Problems -Puzzles -Quizzes -Review sessions (groups) -Unit Test All aforementioned resources utilized. Punchline Puzzles Algebra II Curriculum Map (2014-2015) Grouping Sum & Difference of Cubes (Core Course-OMIT) --factor polynomials utilizing all aforementioned techniques. Dec. 1- Unit 8— Dec. Radicals 19 Jan. 5Jan. 16 Unit 9— Complex Numbers Simplify radicals Add/Subtract radicals Multiply radicals Conjugates Rational exponents Radical Equations Operations -add, subtract, multiply, and divide complex numbers Conjugates -identify and utilize conjugates of complex numbers Jan. 20Feb. 6 Unit 10— Quadratic Equations Factoring -solve quadratic equations by factoring Zeros/Roots/x-intercepts/solutions of Quadratics -solve quadratic equations Quadratic Formula -solve quadratic equations Square Root Method -Class Opener Focus: Investment Word Problems -Puzzles -Quizzes -Review sessions -Unit Test -Class Opener Focus: Age Word Problems -Assignments -Quizzes -Unit Review -Unit Test -Calculator practice graphing parabolas All aforementioned resources utilized. Punchline Puzzles All aforementioned resources utilized. Algebra II Curriculum Map (2014-2015) -solve quadratic equations Completing the Square -solve quadratic equations Discriminant -use the discriminant to describe the number and nature of the zeros of a quadratic equation. Feb. 9Feb. 18 Unit 11— Quadratic Functions Parabolas (Graphing) o Standard o Vertex o Transformations Quadratic Real-World Problems