8/9/2019 Pre Calculus 10-11 Plan

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Precalculus 2010 – 2011 Plan

Semester 1

Unit 1: Right Triangle Trigonometry (focusing on degrees, students should already knowabout inverse trig functions from Alg2 – light treatment only – just for the purposes of 

doing/undoing – more detailed treatment of inverse functions comes later)

4.8 – Solving Problems with Trigonometry5.6 – Law of Cosines (using material adapted from Foerster)6.1 – Vectors in the Plane

6.2 – Dot Product of Vectors

Unit 2: Unit Circle Trigonometry (focusing on radians)

4.1 – Angles and their Measure

4.2 – Trigonometric Functions of Acute Angles4.3 – Trigonometry Extended: The Circular Functions

Unit 3: Graphing Trig Functions

Circle/Trig graphing calculator activity (linking circle measurements w/ curves)4.4 – Graphs of Sine and Cosine: Sinusoids

4.5 – Graphs of Tangent, Cotangent, Secant, and Cosecant Functions

(4.6 – Graphs of Composite Trigonometric Functions)

Unit 4: Inverse Functions

1.5 – (Parametric Relations and) Inverses4.7 – Inverse Trigonometric Functions

(5.5 – Law of Sines – if time permits; bookends trig with generalization to non-

right triangles)

Unit 5: General Function Concepts[Connection between function notation, graphs, and formulas – from CTM]

1.2 – Functions and their Properties1.4 – Building Functions with Functions

1.6 – Graphical Transformations

1.7 – Modeling with Functions1.5 – Parametric Relations (and Inverses)

6.3 – Parametric Equations and Motion

Semester 2

Unit 6: Trigonometric Identities

5.1 – Fundamental Identities5.2 – Proving Trigonometric Identities

5.3 – Sum & Difference Identities

5.4 – Multiple Angle Identities (just double angle identities; others if time

 permits)

Unit 7: General Polynomial, Parabolic, Linear Functions (using unit developed last year,

so order of topics will be different from below)2.1 – Linear & Quadratic Functions & Modeling

8/9/2019 Pre Calculus 10-11 Plan

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2.2 – Power Functions with Modeling2.3 – Polynomial Functions of Higher Degree with Modeling

2.4 – Real Zeros of Polynomial Functions

(2.5 – Complex Zeros and the FTC)

2.7 – Solving Equations in One Variable2.8 – Solving Inequalities in One Variable

Unit 8: Rational Functions & Limits1.2 – Functions and their Properties

2.6 – Graphs of Rational Functions

10.3 (& supplemental material) - Limits

Unit 9: Exponentials & Logarithms (using unit developed last year)

3.1 – 3.6 with increased emphasis on table / formula connection

Semester 2 Final (hopefully on or around June 1st)

Unit 10: Discrete MathChapter 9