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 |
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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 |
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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 |
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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 |