2015-2016 TUSD Scope & Sequence: Algebra II New Textbook: Algebra 2, Holt McDougal (blue textbook) Old Textbook: Algebra 2, McDougal Littell (green textbook) 1st Quarter Unifying Concept: Linear/Quadratic Functions and Equations Mathematics Content Focus: Quarter Summary of Objectives: New book Chapters 1, 2 (12.5 for G-GPE.2) Old book Chapters 1, 2, 3, 5 (10.2 for G-GPE.2) Functions -Intro to Functions -Function Notation -Parent Functions/Transformations Linear Functions (review) -Write equations/inequalities -Graph equations/inequalities -Slope as Rate of Change -Systems of Linear Equations/Inequalities Students continue to solve real-world problems by writing and solving appropriate linear equations, inequalities, or system of equations. Students will apply the meaning of the parameters in a linear function to a real world situation. Students will also apply the meaning of the maximum/minimum value of a function, symmetry, and zeroes of a function to a real world problem and write a polynomial equation that models a real-world problem by justifying each step used to solve/create the solution. Standards for Mathematical Practice: Absolute Value Functions Quadratics Functions -Graph Vertex form, standard form, Intercept form, transformations -Solve Square roots, complete the square Factoring, quadratic formula -Complex solutions 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Target Standards: shall be emphasized during the quarter and used in a formal assessment to evaluate student mastery. A-REI.1, 6,7,11 A-REI.11= linear, quadratic, and absolute value only A-SSE.2(quadratic only) A-CED.1(linear, quadratic only) F-IF.4, 6,7, 8, 9(linear, quadratic only) F-BF.1 F-LE.2,5(linear, quadratic only) Complementary/ Foundational Standards: shall serve to enhance the math focus and reinforce the target standards. A-REI.4,4b F-IF. 3 F-BF.3(linear, quadratic only) A-APR.4 N-Q.2 N-CN.1, 2, 7 G-GPE.2 5/13/2015 3:28 PM 2nd Quarter Unifying Concept: Polynomial, Rational, and Radical Functions Mathematics Content Focus: Quarter Summary of Objectives: New book Chapters 3, 5 Old book Chapters 6, 7, 9 Polynomials -Operations -Factoring -Graphing/Transformations -Remainder Theorem -Solving equations Rational Functions -Operations -Solving Rational Equations -Graphing Radical Functions -Properties of Exponents -Solving Radicals Equations -Graphing Students will determine the best method to simplify and solve rational equations, and will justify each step used in their solution(s). Students will also apply the meaning of the zeroes, y-intercept and asymptotes of a rational function to the context a real world problem. Students will sketch a graph of the radical function using the key features of the graph to include: zeroes, end behavior, and asymptotes, and be able to justify each step used to solve an equation. Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Target Standards: shall be emphasized during the quarter and used in a formal assessment to evaluate student mastery. A-SSE.2(polynomial only) A-SSE. 3 A-REI.2. 11 (A-REI.11= polynomial and rational only) F-IF.4(polynomial only) F-IF.7c N-RN.1, 2 A-APR.2, 3 A-CED.1 (rational only) Complementary/ Foundational Standards: shall serve to enhance the math focus and reinforce the target standards. A-APR.6 F-BF.3 (polynomial and rational only) TUSD Curriculum and Instruction Math Department Page 1 2015-2016 TUSD Scope & Sequence: Algebra II New Textbook: Algebra 2, Holt McDougal (blue textbook) Old Textbook: Algebra 2, McDougal Littell (green textbook) 3rd Quarter Unifying Concept: Exponential Functions, Logarithms, and Sequences and Series Mathematics Content Focus: Quarter Summary of Objectives: New book Chapters 4,6,9 Old book Chapters 8, 2.7, 7.3, 7.4, 11 Exponential/Logarithmic Functions -Modeling growth and decay -Graphing/Transformations -Evaluate -Find Inverse functions -Properties of Logs -Natural base “e” -Solve equations Function Attributes -Piecewise -Comparing -Operations -Inverses Sequences/Series -Arithmetic, -Geometric, Infinite Geometric -Recursive & Explicit Rules -Series & Summation Notation Students will: model the properties of integer exponents to derive the rules for rational exponents. Students will also use their mathematical skills to solve problems using linear, exponential, trigonometric equations/functions developed from real life applications, and apply the meaning of the parameters in an exponential function to a real-world situation. Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Target Standards: shall be emphasized during the quarter and used in a formal assessment to evaluate student mastery. A-SSE.3c, 4 A-REI.11 (exponential and log only) F-IF.6(arithmetic sequences) F-IF.7e, 8b F-IF.9 (exponential and log only) F-BF.1a,1b,2 F-LE.2,4,5 (F-LE.2,5 = exponential only) A-CED.1 (exponential only) Complementary/ Foundational Standards: shall serve to enhance the math focus and reinforce the target standards. F-BF.3 (exponential and log only) F-BF. 4, 4a 5/13/2015 3:28 PM 4th Quarter Unifying Concept: Trigonometric Functions, Statistics, and Probability Mathematics Content Focus: Quarter Summary of Objectives: New book Chapters 7, 8, 10, 11 Old book Chapters 12, 13, 14 Statistics -Normal distribution -Scatterplots -Interpret, analyze, model with data -Population vs. Random Sampling Probability -Set Notation -Independent vs Dependent Events -Conditional Probability -Two Way Tables -Compound Events Trigonometric Functions -Radian Measures -Unit Circle -Pythagorean Identity -Graph/Model Trig Functions Students will continue to compare the properties of trigonometric functions represented in different ways. Students will also become familiar with the Normal Curve Distribution, and its application to real world situations. Students will also recognize and explain real world examples of conditional probability and independence. Standards for Mathematical Practice: 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning. Target Standards: shall be emphasized during the quarter and used in a formal assessment to evaluate student mastery. S-IC. 1, 2, 3, 4, 5, 6 S-ID.4, 6, 6a S-CP. 1, 2, 3, 4, 5, 6, 7 F-TF.1, 2, 5, 8 Complementary/ Foundational Standards: shall serve to enhance the math focus and reinforce the target standards. F-IF 4, 7, 7e (trigonometric functions only) F-BF.3 TUSD Curriculum and Instruction Math Department Page 2