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    a2
     
    Algebra 2 Trigonometry Honors: This course follows the New York State curriculum for Algebra 2 Trigonometry. Topics include the study of rational and radical expressions, quadratic, exponential, logarithmic and trigonometric functions, imaginary numbers, statistics, probability and sequences and series. The final exam is the Algebra 2 Regents.
     
     
     
     
     
     

     Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery.
     

    Unit 1

    Linear Functions

     September

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    1.1

    Parent Functions and Transformations

    F-BF.B.3

    Pages 3 - 10

    1.2

    Transformations of Linear and Absolute Value Functions

    F-BF.B.3

    Pages 11 - 20

    1.3

    Modeling with Linear Functions

    A-CED.A.2,

    F-IF.C.9, F-BF.A.1a, F-LE.A.2, S-ID.B.6a

    Pages 21 - 28

    1.4

    Solving Linear Systems

    A-CED.A.3, A-REI.C.6

    Pages 29 - 36

    1.5

            Linear System Word Problems  and Applications

     

     

    Unit 2

    Quadratic Functions

    Sept - Oct

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    2.1

    Transformations of Quadratic Functions

    F.IF.C.7c, F-BF.B.3

    Pages 47 - 54

    2.2

    Characteristics of Quadratic Functions

    F-IF.B.4, F-IF.C.7c, F-IF.C.9, A-APR.B.3

    Pages 55 - 64

    2.3

    Focus of Parabola

    F-IF.B.4, F-IF.C.7c, G-GPE.A.2

    Pages 67 - 74

    2.4

    Modeling with Quadratic Functions

    A-CED.A.2, F-IF.B.6, F-BF.A.1a, S-ID.B.6a

    Pages 75 - 83

    Unit 3

    Quadratic Equations and Complex Numbers

    Oct - Nov

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    3.1

    Solving Quadratic Equations

    A-SSE.A.2, A-REI.B.4b, F-IF.C.8a

    Pages 93 - 102 

    3.2

    Complex Numbers

    N-CN.A.1, N-CN.A.2, N-CN.C.7, A-REI.B4b

    Pages 103 - 110 

    3.3

    Completing the Square

    C-CN.C.7, A-REI.B.4b, F-IF.C.8a

    Pages 111 - 118

    3.4

    Using the Quadratic Formula

    N.CN.C.7, A-REI.B.4b

    Pages 121 - 130

    3.5

          Solving Nonlinear Systems

    A-CED.A.3, A-REI.C.7, A-REI.D.11

    Pages 131 - 138 

    3.6

           Quadratic Inequalities 

    A-CED.A.1, A-CED.A.3

    Pages 139 - 146

     End of Quarter 1

    Unit 4

    Polynomial Functions

    Nov - Dec

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    4.1

    Graphing Polynomial Functions

    F-IF.B.4, F-IF.C.7c

    Pages 157 - 164

    4.2

    Adding, Subtracting and Multiplying Polynomials

    A-APR.A.1, A-APR.C.4, A-APR.C.5

    Pages 165 - 172

    4.3

    Dividing Polynomials

    A-APR.B.2, A-APR.D.6

    Pages 173 - 178 

    4.4

    Factoring Polynomials

    A-SSE.A.2, A-APR.B.2, A-APR.B.3

    Pages 179 - 188

    4.5

    Solving Polynomial Equations

    A-APR.B.3

    Pages 189 - 196

    4.6

    The Fundamental Theorem of Algebra Descartes's Rule of Signs

    N-CN.C.8, N-CN.C.9, A-APR.B.3

    Pages 197 - 204

    4.7

    Transformations of Polynomial Functions

    F-IF.C.7c

    Pages 205 - 210

    4.8

    Analyzing Graphs of Polynomial Functions

    A-APR.B.3, F-IF.B.4, F-IF.C.7c

    Pages 211 - 218

    4.9

    Modeling with Polynomial Functions

    A-CED.A.2, F-BF.A.1a

    Pages 219 - 224

    Unit 5

    Rational Exponents and Radical Functions

    Dec - Jan

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    5.1

    nth Root and Rational  Exponents 

    N-RN.A.1, N-RN.A.2

    Pages 237 - 242

    5.2

    Properties of Rational Exponents and Radicals 

    N-RN.A.2

    Pages 243 - 250

    5.3

    Graphing Radical Functions

    F-IF.C.7b, N-BF.B.3

    Pages 251 - 258

    5.4

    Solving Radical Equations and Inequalities 

    A-REI.A.1, A-REI.A.2

    Pages 261 - 268

    5.5

    Performing Function Operations

    F-BF.A.1b

    Pages 269 - 274

    5.6

    Inverse of a Function

    A-CED.A.4, F-BF.B.4a

    Pages 275 - 284

    Unit 6

    Exponential and Logarithmic Functions

    Jan - Feb

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    6.1

    Exponential Growth and Decay Functions

    A-SSE.B.3c, F-IF.C.7e, F-IF.C.8b, F-LE.A.2, F-LE.B.5

    Pages 295 - 302

    6.2

    The Natural Base e

    F-IF.C.7e, F-LE.B.5

    Pages 303 - 308

    6.3

    Logarithms and Logarithmic Functions

    F-IC.C.7e, F-BF.B.4a, F-LE.A.4

    Pages 309 - 316

    6.4

    Transformations of Exponential and Logarithmic 

    F-IF.C.7e. F-BF.B.3

    Pages 317 - 326 

    6.5

    Properties of Logarithms

    A-SSE.A.2, F-LE.A.4

    Pages 327 - 332

    6.6

    Solving Exponential and Logarithmic Equations

    A-REI.A.1, F-LE.A.4

    Pages 333 - 340

    6.7

    Modeling with Exponential and Logarithmic Functions

    A-CED.A.2, F-BF.A.1a, F-LE.A.2

    Pages 341 - 349

     End of Quarter 2

    Unit 7

    Rational Functions

    Feb - Mar

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    7.1

    Inverse Variation

    A-CED. A.1, A-CED.A.2, A-CED.A.3

    Pages 359 - 364

    7.2

    Graphing Rational Functions

    A-APR.D.6, F-BF.B.3

    Pages 365 - 374

    7.3

    Multiplying and Dividing Rational Expressions

    A-APR.D.6, A-APR.D.7

    Pages 375 - 382

    7.4

    Adding and Subtracting Rational Expressions

    A-APR.D.6, A-APR.D.7

    Pages 383 - 390

    7.5

         Simplifying Complex Fractions

     

     

    7.6

    Solving Rational Equations

    A-CED.A.4, A-REI.A.1, A-REI.A.2

    Pages 391 - 398

    Unit 8

    Sequences and Series

    Mar - Apr

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    8.1

    Defining and Using Sequences and Series

    F-IF.A.3

    Pages 409 - 416

    8.2

    Analyzing Arithmetic Sequences and Series

    S-IF.A.3, F-BF.A.2, F-LE.A.2

    Pages 417 - 424

    8.3

    Analyzing Geometric Sequences and Series

    A-SSE.B.4, F-IF.A.3, F-BF.A.2, F-LE.A.2

    Pages 425 - 432

    8.4

    Finding Sums of Infinite Geometric Series

    A-SSE.B.4

    Pages 435 - 440

    8.5

    Using Recursive Rules with Sequences

    F-IF.A.3, F-BFA.A.1a, F-BF.A.2

    Pages 441 - 450

    Unit 9

    Trigonometric Ratios and Functions

    Apr - May

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    9.1

    Right Triangle Trigonometry

    F-TF.A.1, F-TF.A.2, F-TF.B.5, F-TF.C.8

    Pages 461 - 468

    9.2

    Angles and Radian Measure

    F-TF.A.1

    Pages 469 - 476

    9.3

    Trigonometric Functions of Any Angle

    F-TF.A.2

    Pages 477 - 484

    9.4

    Graphing Sine and Cosine Functions

    F-IF.C.7e, F-BF.B.3

    Pages 485 - 496

    9.5

    Graphing Other Trigonometric Functions

    F-IF.C.7e, F-BF.B.3

    Pages 497 - 504

    9.6

    Modeling with Trigonometric Functions

     F-TF.B.5, F-BF.A.1a, A-CED.A.2

    Pages 505 - 512

    9.7

    Using Trigonometric Identities

     Proving Trigonometric Identities

    F-TF.C.8

    Pages 513 - 518

    9.8

    Using Sum, Difference, Double and Half Angle Formulas

    F-TF.C.9

    Pages 519 - 524

     End of Quarter 3

    Unit 10

    Probability

    May - June

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    10.1

    Sample Spaces and Probability

    S-CP.A.1

    Pages 537 - 544

    10.2

    Independent and Dependent Events

    S-CP.A.1, S-CP.A.2, S-CP.A.3, S-CP.A.5, S-CP.B.6, S-CP.B.8

    Pages 545 - 552

    10.3

    Two-Way Tables and Probability

    S-CP.A.4, S-CP.A.5

    Pages 553 - 562

    10.4

    Probability of Disjoint and Overlapping Events

     S-CP.A.1, S-CP.B.7

    Pages 563 - 568

    10.5

    Permutations and Combinations

    SA-APR.C.5, S-CP.B.9

    Pages 569 - 578

    10.6

    Binomial Distributions

    S-CP.B.9

    Pages 579 - 584

    Unit 11

    Data Analysis and Statistics

    June

    Section

    Concepts

    CC Standards

    Big Ideas Resources

    11.1

    Using Normal Distribution

    S-ID.A.4

    Pages 595 - 602

    11.2

    Populations, Samples, and Hypotheses

    S-IC.A.1, S-IC.A.2

    Pages 603 - 608

    11.3

    Collecting Data

    S-IC.A.1, S-IC.B.3

    Pages 609 - 618

    11.4

    Experimental Design

    S-IC.A.1, S-IC.B.3, S-IC.B.6

    Pages 619 - 624

    11.5

    Making Inferences from Sample Surveys

    S-IC.A.2, S-IC.B.4

    Pages 625 - 632

    11.6

    Making Inferences from Experiments

    S-IC.A.2, S-IC.B.5

    Pages 633 - 638