Teacher(s): Grosse, Colleen The Student:

Time: 90 days Course Organizer Course Dates: Spring 2016

This Course: Course Standards:

PreCalculus Honors What? How? Value?
Content:
Common Assessments 70%
how functions, trigonometry, conics, prediction models, and Projects
is
limits, in two and three dimensions, apply to real world
about
applications and situations.
Process:
Guided Notes/Examples 30%
Course Questions: Tasks & Models
Error Analysis Questions
1. How do parent and trig functions transform and model real world
situations?
2. How do polynomial and rational functions model real world situations Course Progress Graph
and effect limits of functions?
3. How can exponential and logistic functions mirror concepts of
investment and growth related to time?
4. How do concepts of triangle trig determine distance and angle
relations in context?
5. How do Pythagorean identities and the Unit Circle simplify to create
expressions?
6. How do conics relate three dimensional shapes to two dimensional
functions and equations?

7. How do parametric, polar, and vectors relate inputs and outputs?

8. How can predictions be made about patterns?

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University of Kansas Center for Research on Learning 2006
 Course Map This Course:
PreCalculus Honors Student:

includes

Community Performance
Principles
Learning Rituals Options
1) Be Responsible Notebook Copy Me Teach CUBES CUBES
2) Be Respectful Jigsaw P-I-G Practice Text & Tasks Error Analysis
3) Be Accountable Gallery Walk Challenge Questions Think Tanks Course Organizer
4) Learn from your Assessments Little Slips Guided Notes Unit Organizer
mistakes Guided Practice Graphic Organizer Projects
Kahoots Exit Tickets Do Nows

Critical Concepts Unit 9 (extra)

Intro to Calculus
Unit 1 Parent f(x) Arithmetic, Geo Sequences & Series & Limits
Building Functions Transformations Trigonometric Functions & Identities
- Limits
- Function Notation Unit 2
Polynomial f(x) Analytic Geometry & Conics
- Dividing out Unit 8
Rational f(x) Vectors, Parametric, & Polar f(x) - Evaluating one- Sequences &
- Domain, Range Polynomial, Power,
- End Behavior Linear & Nonlinear Regression Analytic Trigonometry sided limits Series
& Rational
- 9 Parent Functions Functions
Limits Special Triangles & Unit Circle - Limits of
- Composition and Function Modeling & Application sequences - Geometric
Combination of F(x) - Polynomial - Convergent vs. - Arithmetic
- Domain - Even, Odd Divergent - Writing terms
restrictions behavior Unit 3 Learned in these - Predicting terms
- Transformations of Unit 7 - Finding sums
Parent functions
-
-
X intercepts Exponential, Log,
Y intercepts & Logistic
Units Vectors, Parametric, - Convergent
- Global Max/Min - Factoring Functions Unit 4 & Polar - Divergent
- Absolute Max/Min polynomials Trigonometric Unit 5 Unit 6 - Explicit
- Increasing - Graphing - Growth Functions Analytic Trig Analytic Geometry - Vectors in the plane Functions
Intervals Rational - Decay & Conics - Vectors and Dot - Recursive
- Decreasing Functions - Compounding - SOHCAHTOA - Reciprocal IDs Products Functions
Intervals - Horizontal Interest - Inverse Trig to - Quotient IDs - Circles - Parametric - Writing equations
- Neutral Intervals Asymptotes - Solving for solve for angles - Pythagorean - Parabolas - Sketching Parametric
- Vertical time using - Radian > Degree IDs (vertex form) - Eliminating the
Asymptotes Logarithms - Interior Angles - Right Triangle - Ellipses parameter
- Intersecting - Graphing Theorem on Unit Circle - Hyperbolas - Polar coordinates
functions Logistic - Special Cases - Double Angle - Classifying - Polar equations of
Functions using - Angle of - Solving equations conics
calculator Elevation, complex trig
- Interpreting Depression equations
Maximums - Law of Sines
- Law of Cosines
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University of Kansas Center for Research on Learning 2006