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Mathematics / College Algebra w/Trig (ECE)

College Algebra W/Trigonometry: This course is a dual enrollment course offered in collaboration with Westchester Community College (WCC) through its Advanced College Experience (ACE). This course focuses on topics in algebra and trigonometry including linear, quadratic, exponential, logarithmic, trigonometric, and circular functions, complex numbers, radical and absolute value equations, linear inequalities, polynomial division, graphing calculator applications, and applications of right triangles. The final exam is a 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

Fundamental Concepts of Algebra 1

Sept - Oct

Section 

Concepts

Textbook Resources

P1

Real Numbers, Algebraic Expression

Pages 2-17

P2

Exponents and Scientific Notation

Pages 19-32

P3

Radicals and Rational Exponents

Pages 33-48

P4

Polynomials

Pages 49-60

P5

Factoring Polynomials

Pages 62-72

P6

Rational Expressions

Pages 73-84

Unit 2

Linear Equations & Modeling

Oct - Dec

Section 

Concepts

Textbook Resources

1.2

Linear Equations and Rational Equations

Pages 101-115

1.3

Model and Applications

Pages 116-129

 

End of Quarter 1

 

1.4

Complex Numbers

Pages 130-135

1.5

Quadratic Equations

Pages 136-154

3.1

Quadratic Functions

Pages 312-327

1.6

Other Types of Equations

Pages 158-171

1.7

Linear Inequalities and Absolute Value Equations

Pages 172-188

Unit 3

Functions & Graphs

Dec - Jan

Section 

Concepts

Textbook Resources

2.1

Basic of Functions and Their Graph

Pages 198-215

2.2

More Functions and Their Graphs

Pages 215-228

2.3

Linear Function and Slope

Pages 229-242

2.4

More on Slope

Pages 243-252

2.6

Combinations of Functions

Pages 270-281

2.7

Composite Functions

Pages 282-292

2.8

Distance and Midpoint Formulas

Pages 293-311

 

End of Quarter 2

 

Unit 4

Polynomial and Rational Functions

Jan - Feb

Section 

Concepts

Textbook Resources

3.1

Polynomial Functions

Pages 312-327

3.3

Dividing Polynomials

Pages 342-347

3.3

Remainder and Factor Theorem

Pages 348-351

3.4

Synthetic Division

Pages 346-347

Unit 5

Exponential & Logarithmic Functions

Feb - Mar

Section 

Concepts

Textbook Resources

4.1

Exponential Functions

Pages 412-423

4.2

Logarithmic Functions

Pages 424-436

4.3

Properties of Logarithms

Pages 437-446

4.4

Exponential and Logarithmic Equations

Pages 447-459

4.5

Exponential Growth and Decay: Modeling Data

Pages 460-473

 

End of Quarter 3

 

Unit 6

Trigonometric Functions

Mar - June

Section 

Concepts

Textbook Resources

5.1

Angles and Radian Measures

Pages 482-496

5.2

Right Triangle Trigonometry

Pages 497-512

5.3

Trigonometric Function of Any Angle

Pages 513-525

5.4

Trigonometric Functions of Real Numbers: Periodic Functions

Pages 526-535

5.5

Graphs of Sine and Cosine Functions

Pages 536-557

5.6

Graph of Other Trigonometric Functions

Pages 558-570

5.7

Inverse Functions

Pages 571-586

5.8

Applications of Trigonometric Functions

Pages 587-597