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    precalc  
     
     
     
     

    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.
     

    Unit 1

    Review Factoring Techniques

    September

    Section

    Concepts

    Resources

    1.1

    Factor an expression with a common factor

    Pages 69 - 71

    1.2

    Factor a trinomial in the form ax^2 + bx + c when a = 1

     

    1.3

    Factor a trinomial in the form ax^2 + bx + c when a > 1

     

    1.4

    Factor by grouping

     

    1.4

    Factor the difference of 2 squares

     

    1.5

    Factor the difference of cubes

     

    1.5

    Factor Completely

     

    Unit 2

    Sequences & Series

    Sept - Oct

    Section

    Concepts

    Resources

    2.1

    Arithmetic Sequences and Partial Sums

    Pages 866-871

    2.2

    Geometric Sequences and Series

    Pages 872- 885

    2.2

    Mathematical Induction

    Pages 883-887

    Unit 3

    Functions

    October

    Section

    Concepts

    Resources

     

    3.1

    Definition of a function.

    1-1 function.

    Domain and Range of a function

    Pages 111 -

    3.2

    Increasing and decreasing intervals

    Pages 135-136

    3.3

    Average Rate of Change

    Pages 132-134

    3.4

    Even and odd functions

    Pages 139-140

    3.5

    Transformations of functions

    Pages 154-165

    3.6

    Piecewise functions

    Pages 145-147

     End of Quarter 1

    Unit 4

    Polynomial & Rational Functions

    Nov - Jan

    Section

    Concepts

    Resources

    4.1

    Quadratic Functions & Models

    Pages 191-195

    4.2

    Polynomial Functions of Higher Degree

    Pages 216-218

    4.3

    Polynomial & Synthetic Division

    Pages 987 -

    4.4

    Operations with Complex Numbers

     

    4.5

    Solving quadratics

     

    4.6

    Zeros of Polynomial Functions

    Pages 24-65, 274

    4.7

    Rational Functions

    Pages 228-248

     End of Quarter 2

    Unit 5

    Conics

    Jan - Feb

    Section

    Conic Sections

    Resources

    5.1

    Introduction to conics: parabolas

    Pages 190-194, 667 - 680

    5.2

    Circles

    Pages 606-608, 618

    5.3

    Ellipses

    Pages 667, 680-694, 719

    5.4

    Hyperbolas

    Pages 667, 697-710,

    Unit 6

    Trigonometry

    March - April

    Section

    Concepts

    Resources

    5.5

    Radian and Degree Measure

    Pages 396, 388-402

    5.6

    Trigonometric Functions: The Unit Circle

    Pages 406-408

    5.7

    Right Triangle Trigonometry

     

    5.8

    Trigonometric Functions of Any Angle

    Pages 408-410

    5.9

    Graphs of Sine and Cosine Functions

    Pages 441-444

    5.10

    Graphs of Other Trigonometric Functions

    Pages 446-448

    5.11

    Applications and Models

    Pages 494

     End of Quarter 3

    Unit 7

    Analytic Trigonometry

    May - June

    Section

    Concepts

    Resources

    7.1

    Using Fundamental Identities

    Pages 425-427

    7.2

    Verifying Trigonometric Identities

    Pages 475-479

    7.3

    Solving Trigonometric Equations

    Pages 505-516

    7.4

    Sum and Difference Formulas

    Pages 482-490

    7.5

    Law of Sines

    Pages 532-546

    7.6

    Law of Cosines

    Pages 543-549