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 a local departmental exam. |
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 |