Algebra 2 Trigonomety 1
Algebra 2 Trigonometry: This course follows the New York State curriculum for Algebra 2 Common Core. 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 
FBF.B.3 
Pages 3  10 
1.2 
Transformations of Linear and Absolute Value Functions 
FBF.B.3 
Pages 11  20 
1.3 
Modeling with Linear Functions 
ACED.A.2, FIF.C.9, FBF.A.1a, FLE.A.2, SID.B.6a 
Pages 21  28 
1.4 
Solving Linear Systems 
ACED.A.3, AREI.C.6 
Pages 29  36 
Unit 2 
Quadratic Functions 
Sept  Oct 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
2.1 
Transformations of Quadratic Functions 
F.IF.C.7c, FBF.B.3 
Pages 47  54 
2.2 
Characteristics of Quadratic Functions 
FIF.B.4, FIF.C.7c, FIF.C.9, AAPR.B.3 
Pages 55  64 
2.3 
Focus of Parabola 
FIF.B.4, FIF.C.7c, GGPE.A.2 
Pages 67  74 
2.4 
Modeling with Quadratic Functions 
ACED.A.2, FIF.B.6, FBF.A.1a, SID.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 
ASSE.A.2, AREI.B.4b, FIF.C.8a 
Pages 93  102 
3.2 
Complex Numbers 
NCN.A.1, NCN.A.2, NCN.C.7, AREI.B4b 
Pages 103  110 
3.3 
Completing the Square 
CCN.C.7, AREI.B.4b, FIF.C.8a 
Pages 111  118 
3.4 
Using the Quadratic Formula 
N.CN.C.7, AREI.B.4b 
Pages 121  130 
3.5 
Solving Nonlinear Systems 
ACED.A.3, AREI.C.7, AREI.D.11 
Pages 131  138 
3.6 
Quadratic Inequalities 
ACED.A.1, ACED.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 
FIF.B.4, FIF.C.7c 
Pages 157  164 
4.2 
Adding, Subtracting and Multiplying Polynomials 
AAPR.A.1, AAPR.C.4, AAPR.C.5 
Pages 165  172 
4.3 
Dividing Polynomials 
AAPR.B.2, AAPR.D.6 
Pages 173  178 
4.4 
Factoring Polynomials 
ASSE.A.2, AAPR.B.2, AAPR.B.3 
Pages 179  188 
4.5 
Solving Polynomial Equations 
AAPR.B.3 
Pages 189  196 
4.6 
The Fundamental Theorem of Algebra 
NCN.C.8, NCN.C.9, AAPR.B.3 
Pages 197  204 
4.7 
Transformations of Polynomial Functions 
FIF.C.7c 
Pages 205  210 
4.8 
Analyzing Graphs of Polynomial Functions 
AAPR.B.3, FIF.B.4, FIF.C.7c 
Pages 211  218 
4.9 
Modeling with Polynomial Functions 
ACED.A.2, FBF.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 
NRN.A.1, NRN.A.2 
Pages 237  242 
5.2 
Properties of Rational Exponents and Radicals 
NRN.A.2 
Pages 243  250 
5.3 
Graphing Radical Functions 
FIF.C.7b, NBF.B.3 
Pages 251  258 
5.4 
Solving Radical Equations and Inequalities 
AREI.A.1, AREI.A.2 
Pages 261  268 
5.5 
Performing Function Operations 
FBF.A.1b 
Pages 269  274 
5.6 
Inverse of a Function 
ACED.A.4, FBF.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 
ASSE.B.3c, FIF.C.7e, FIF.C.8b, FLE.A.2, FLE.B.5 
Pages 295  302 
6.2 
The Natural Base e 
FIF.C.7e, FLE.B.5 
Pages 303  308 
6.3 
Logarithms and Logarithmic Functions 
FIC.C.7e, FBF.B.4a, FLE.A.4 
Pages 309  316 
6.4 
Transformations of Exponential and Logarithmic 
FIF.C.7e. FBF.B.3 
Pages 317  326 
6.5 
Properties of Logarithms 
ASSE.A.2, FLE.A.4 
Pages 327  332 
6.6 
Solving Exponential and Logarithmic Equations 
AREI.A.1, FLE.A.4 
Pages 333  340 
6.7 
Modeling with Exponential and Logarithmic Functions 
ACED.A.2, FBF.A.1a, FLE.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 
ACED. A.1, ACED.A.2, ACED.A.3 
Pages 359  364 
7.2 
Graphing Rational Functions 
AAPR.D.6, FBF.B.3 
Pages 365  374 
7.3 
Multiplying and Dividing Rational Expressions 
AAPR.D.6, AAPR.D.7 
Pages 375  382 
7.4 
Adding and Subtracting Rational Expressions 
AAPR.D.6, AAPR.D.7 
Pages 383  390 
7.5 
Solving Rational Equations 
ACED.A.4, AREI.A.1, AREI.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 
FIF.A.3 
Pages 409  416 
8.2 
Analyzing Arithmetic Sequences and Series 
SIF.A.3, FBF.A.2, FLE.A.2 
Pages 417  424 
8.3 
Analyzing Geometric Sequences and Series 
ASSE.B.4, FIF.A.3, FBF.A.2, FLE.A.2 
Pages 425  432 
8.4 
Finding Sums of Infinite Geometric Series 
ASSE.B.4 
Pages 435  440 
8.5 
Using Recursive Rules with Sequences 
FIF.A.3, FBFA.A.1a, FBF.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 
FTF.A.1, FTF.A.2, FTF.B.5, FTF.C.8 
Pages 461  468 
9.2 
Angles and Radian Measure 
FTF.A.1 
Pages 469  476 
9.3 
Trigonometric Functions of Any Angle 
FTF.A.2 
Pages 477  484 
9.4 
Graphing Sine and Cosine Functions 
FIF.C.7e, FBF.B.3 
Pages 485  496 
9.5 
Graphing Other Trigonometric Functions 
FIF.C.7e, FBF.B.3 
Pages 497  504 
9.6 
Modeling with Trigonometric Functions 
FTF.B.5, FBF.A.1a, ACED.A.2 
Pages 505  512 
9.7 
Using Trigonometric Identities 
FTF.C.8 
Pages 513  518 
9.8 
Using Sum and Difference Formulas 
FTF.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 
SCP.A.1 
Pages 537  544 
10.2 
Independent and Dependent Events 
SCP.A.1, SCP.A.2, SCP.A.3, SCP.A.5, SCP.B.6, SCP.B.8 
Pages 545  552 
10.3 
TwoWay Tables and Probability 
SCP.A.4, SCP.A.5 
Pages 553  562 
10.4 
Probability of Disjoint and Overlapping Events 
SCP.A.1, SCP.B.7 
Pages 563  568 
10.5 
Permutations and Combinations 
SAAPR.C.5, SCP.B.9 
Pages 569  578 
10.6 
Binomial Distributions 
SCP.B.9 
Pages 579  584 
Unit 11 
Data Analysis and Statistics 
June 

Section 
Concepts 
CC Standards 
Big Ideas Resources 
11.1 
Using Normal Distribution 
SID.A.4 
Pages 595  602 
11.2 
Populations, Samples, and Hypotheses 
SIC.A.1, SIC.A.2 
Pages 603  608 
11.3 
Collecting Data 
SIC.A.1, SIC.B.3 
Pages 609  618 
11.4 
Experimental Design 
SIC.A.1, SIC.B.3, SIC.B.6 
Pages 619  624 
11.5 
Making Inferences from Sample Surveys 
SIC.A.2, SIC.B.4 
Pages 625  632 
11.6 
Making Inferences from Experiments 
SIC.A.2, SIC.B.5 
Pages 633  638 