Mathematics / PreCalculus (ECE)
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Precalculus: This course is a dual enrollment course offered in collaboration with Westchester Community College (WCC) through its Advanced College Experience (ACE). This course offers problem solving beyond quadratics with emphasis on the analytical geometry leading to the calculus. Topics of study include polynomial functions, conic sections, matrices, and limits. The final exam is a departmental exam. Students must pay the (discounted) fee for WCC credit to receive a Westchester Community College transcript.  |
Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery.
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Unit 1 |
Review Factoring Techniques |
September |
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Section |
Concepts |
Resources |
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1.1 |
Factor an expression with a common factor |
Pages 69 - 71 |
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1.2 |
Factor a trinomial in the form ax^2 + bx + c when a = 1 |
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1.3 |
Factor a trinomial in the form ax^2 + bx + c when a > 1 |
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1.4 |
Factor by grouping |
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1.4 |
Factor the difference of 2 squares |
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1.5 |
Factor the difference of cubes |
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1.5 |
Factor Completely |
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Unit 2 |
Sequences & Series |
Sept - Oct |
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Section |
Concepts |
Resources |
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2.1 |
Arithmetic Sequences and Partial Sums |
Pages 866-871 |
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2.2 |
Geometric Sequences and Series |
Pages 872- 885 |
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2.2 |
Mathematical Induction |
Pages 883-887 |
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Unit 3 |
Functions |
October |
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Section |
Concepts |
Resources |
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3.1 |
Definition of a function. 1-1 function. Domain and Range of a function |
Pages 111 - |
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3.2 |
Increasing and decreasing intervals |
Pages 135-136 |
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3.3 |
Average Rate of Change |
Pages 132-134 |
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3.4 |
Even and odd functions |
Pages 139-140 |
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3.5 |
Transformations of functions |
Pages 154-165 |
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3.6 |
Piecewise functions |
Pages 145-147 |
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End of Quarter 1 |
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Unit 4 |
Polynomial & Rational Functions |
Nov - Jan |
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Section |
Concepts |
Resources |
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4.1 |
Quadratic Functions & Models |
Pages 191-195 |
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4.2 |
Polynomial Functions of Higher Degree |
Pages 216-218 |
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4.3 |
Polynomial & Synthetic Division |
Pages 987 - |
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4.4 |
Operations with Complex Numbers |
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4.5 |
Solving quadratics |
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4.6 |
Zeros of Polynomial Functions |
Pages 24-65, 274 |
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4.7 |
Rational Functions |
Pages 228-248 |
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End of Quarter 2 |
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Unit 5 |
Conics |
Jan - Feb |
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Section |
Conic Sections |
Resources |
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5.1 |
Introduction to conics: parabolas |
Pages 190-194, 667 - 680 |
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5.2 |
Circles |
Pages 606-608, 618 |
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5.3 |
Ellipses |
Pages 667, 680-694, 719 |
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5.4 |
Hyperbolas |
Pages 667, 697-710, |
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Unit 6 |
Trigonometry |
March - April |
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Section |
Concepts |
Resources |
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5.5 |
Radian and Degree Measure |
Pages 396, 388-402 |
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5.6 |
Trigonometric Functions: The Unit Circle |
Pages 406-408 |
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5.7 |
Right Triangle Trigonometry |
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5.8 |
Trigonometric Functions of Any Angle |
Pages 408-410 |
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5.9 |
Graphs of Sine and Cosine Functions |
Pages 441-444 |
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5.10 |
Graphs of Other Trigonometric Functions |
Pages 446-448 |
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5.11 |
Applications and Models |
Pages 494 |
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End of Quarter 3 |
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Unit 7 |
Analytic Trigonometry |
May - June |
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Section |
Concepts |
Resources |
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7.1 |
Using Fundamental Identities |
Pages 425-427 |
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7.2 |
Verifying Trigonometric Identities |
Pages 475-479 |
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7.3 |
Solving Trigonometric Equations |
Pages 505-516 |
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7.4 |
Sum and Difference Formulas |
Pages 482-490 |
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7.5 |
Law of Sines |
Pages 532-546 |
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7.6 |
Law of Cosines |
Pages 543-549 |