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Algebra 2 Trigonomety Honors

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