•  Precalculus Honors: This course continues the study of the pre-calculus topics from Algebra 2 Trigonometry Honors and begins the study of Advanced Placement Calculus as outlined by the College Board. It includes the analysis of functions, vectors, sequences and series and differential calculus. The emphasis is on proofs and intensive discussions of related topics with student presentations required. The final exam is a departmental exam. This course consists approximately ½ year of Pre-calculus Topics (indicated with "a" next to the unit number) and approximately ½ year of Calculus AB topics (indicated by a "b" next to the unit number)  Teachers can pick/choose from the myriad "a" topic from year to year as time permits and as needs arise year to year.  Topics indicated with a "b" are non-negotiable. The topics "a" that have not been filled out were not taught this year and will be filled in if/when they are in the future.

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 1a Set Theory and Notation September Section Concepts Resources Dolciani "Introductory Analysis" Notation and Symbols in Set Theory Handout Chapter 1 Expressing sentences using existential and universal quantifiers " Properties of number sets and operations on sets " Subsets, supersets, and proper sub/supersets, power sets " Unit 2a Proof by Mathematical Induction September Section Concepts Resources Algebraic Induction Proofs: utilizing concepts of rational numbers, exponents, factoring http://bit.ly/1vnQbJF http://bit.ly/2mkvfcC http://bit.ly/2loAYtW http://bit.ly/2mku2SB Divisibility proofs Unit 3a Complex Numbers October Section Concepts Resources Dolciani "Introductory Analysis" Review of properties of and operations on complex numbers http://bit.ly/2i3uHSo http://bit.ly/2hVZ29o http://bit.ly/2i3uVZC Chapter 5, 13 Graphing in the complex plane; vector graphs http://bit.ly/2hISyYE http://bit.ly/2i3xqeA http://bit.ly/2hIVPat http://bit.ly/2hNCcgM Recursion and the Mandelbrot set http://bit.ly/2hIPPyj http://bit.ly/1BWmhyx Complex number proofs (modulus and conjugate) http://bit.ly/2hfrRcM http://bit.ly/2hNNLEL http://bit.ly/2i3s7M7 http://bit.ly/2gP7fHq Determining square roots of complex numbers http://bit.ly/2hJ4bkP http://bit.ly/2hWljUM Solving quadratic and factorable higher-order equations with complex coefficients http://bit.ly/2h02gbN http://bit.ly/2hWiWkS Trig (cis) form of a complex number http://bit.ly/2i3FBre http://bit.ly/2hIVcxB Multiplying/dividing/powers of a complex number in cis form (DeMoivre's Theorems) http://bit.ly/2gZhXhO http://bit.ly/2hxAqD9 http://bit.ly/2gZnwNi Finding nth Roots of complex number in cis form (DeMoivre's) http://bit.ly/2hxESS3 http://bit.ly/2hfAYu5 http://bit.ly/2hfBWXe Unit 4a Roots of Polynomials Oct - Nov Section Concepts Resources Dolciani "Introductory Analysis" Vocabulary and definitions relating to polynomials (review) http://bit.ly/2loBFDw http://bit.ly/2lKTVYV (photocopied) Factoring and writing equations of quadratics and higher-order polynomials given roots and additional information (review) http://bit.ly/2mAuus4 http://bit.ly/2lK9Zf4 Chapter 5 Polynomial long division and synthetic division http://bit.ly/ZZQErY http://bit.ly/1tw9Fuw The division algorithm and the remainder theorem http://bit.ly/2l15xcY http://bit.ly/2lKfNFq Rational Root theorem http://bit.ly/2lVecNt Bounds for real roots (LUB/GLB) http://bit.ly/2mkyDnS Descartes' rule of signs http://bit.ly/2loHMHX http://bit.ly/2hlnr3i Determining all roots to a higher-order polynomial http://bit.ly/2l16iTA http://bit.ly/2lVlYqm http://bit.ly/2l19lLh http://bit.ly/2mkB2iw End Of Quarter 1 Unit 5a Vectors and Matrices Nov - Dec Section Concepts Resources Dolciani "Introductory Analysis" Chapter 11 -13 Drawing in 3-space, distance and midpoint http://bit.ly/2lZHL0y http://bit.ly/2lVegwt http://bit.ly/2l11xJA " Linear combinations of vectors, parallel vectors http://bit.ly/2mAjLhr http://bit.ly/2loUgiL http://bit.ly/2lKLz3o " Norms of vectors, dot-products of vectors http://bit.ly/2loG4q4 http://bit.ly/2m00pFE " Basis vectors http://bit.ly/2lK7sRX " Matrix and matrix operations http://bit.ly/2l1atP0 http://bit.ly/2mkwp8f " Determinants and Cross-products of vectors http://bit.ly/2m01qgW http://bit.ly/2mks1pD http://bit.ly/2lVezaE " Solving Systems of Equations by augmented matrices http://bit.ly/2m047Pu http://bit.ly/2mkoIim Unit 6a Parametric Equations Section Concepts Resources Was not taught 2016-2017 Unit 7a Polar Coordinates and Graphs Section Concepts Resources Dolciani "Introductory Analysis" Graphing polar coordinates, converting to/from rectangular form WileyPlus Calculus Chapter 10 Exploration of polar curve types Unit 8a Sequences and Series Section Concepts Resources Was not taught 2016-2017 Unit 9a Conic Sections Section Concepts Resources Was not taught 2016-2017 Unit 9b Foundations of Calculus January Section Concepts Resources Inequalities using interval notation: polynomial, rational, compound https://apcalculusstillwater.wordpress.com/ap-calculus-videos/ Absolute Value equations and inequalities, including rational absolute value inequalities and Inequalities of the form " Piecewise functions (maybe now can go because of introduction in CC A2) https://www.youtube.com/watch?v=71SfBO-B4dE Re-writing Absolute Value as piecewise functions " End Of Quarter 2 Unit 10b Limits and Continuity February Section Concepts Resources Anton CalculusText Chapter 1 Conceptual and graphical idea of a limit WileyPlus online videos and self-tests for rest of the year " Computing limits algebraically " " Limits by inspection " " Limits involving piecewise functions " " Holes and asymptotes in rational functions " " End behavior of polynomial functions (limits at infinity) " " Definition of continuity " " Removable, essential, jump discontinuities " " Continuity on open vs. Closed intervals " " Intermediate Value Theorem (IVT) and its applications " Unit 11b The Derivative March Section Concepts Resources Anton Calcuclus Text Chapter 2 Tangent and secant lines " " Visualizing the derivative (comparing graphs of the derivative to original function) " " Using limit definition of the derivative to derive and apply the power rule " " Average and instantaneous rates of change " " Equations of tangent and normal lines to a function " " Product rule " " Quotient rule " End Of Quarter 3 " Chain rule " " Higher order derivatives " " Derivatives from tabular or graphical data " " Implicit differentiation " Unit 12b Applications of Derivatives April - June Section Concepts Resources Anton Calculus Text Chapter 3 Curve Sketching " " Optimization " END OF YEAR