• # I am not teaching PreCalc this school year 2019-2020

Below are your reference from last year

# Math Art (2018-2019)

Click on the link will open desmos page of student's art work:

Celena Pham                   Geedi Ali                  John Anthony

Kyle Nguyen                    Nathan Berres   2      Phi Nguyen

# (Piecewise function and Continuous Properties - Limit )

Solomon Blaze                 Sydney Pfenning        Trinity Webber

# Pre Calculus: List of Topics

## Unit 1: Relations and Functions

Target 1   HW1

Function Basics

Working with Functions

Function Domain and Range

Equations of a Line

Graphing Functions

Target 2  HW 2

Quadratic Functions: The Vertex

Manipulating Graphs: Shifts and Stretches

Manipulating Graphs: Symmetry and Reflections

Target 3   HW 3

Composite Functions

Circles

## Unit 2: Polynomial and Rational Functions

Target 4   HW 4

Polynomials:  Long Division

Polynomials:  Synthetic Division

The Remainder Theorem

The Factor Theorem

The Rational Zero Theorem

Zeros of Polynomials

Graphing Simple Polynomial Functions

Target 5  HW 5

Simplify Rational Expression

Rational Functions / Asymptotes

Graphing Rational Functions

Inequalities: Rational and Radicals

## Unit 3: Exponential and Logarithmic Functions

Target 6

Function Inverses

Finding Function Inverses

Target 7

Exponential Functions

Applying Exponential Functions

Logarithmic Functions

Properties and Graphs of Logarithms

Evaluating and Applying Logarithms

Solving Exponential and Logarithmic Equations

Applying Exponents and Logarithms

## Unit 4: Special Topics

Target 8

Conic Sections: Parabolas

Conic Sections: Ellipses

Conic Sections: Hyperbolas

Identifying Conic Sections

Target 9

Sequences and Series

Induction

Target 10

Binomial Coefficients and the Binomial Theorem

Combinations, Permutations and Probability

## Unit 5: Systems of Equations and Matrices

Solving linear system by subtitution

Linear Systems of Equations in Three Variables

Linear Programming

Operations with Matrices

Using Reduced Row Echelon Form to Solve Linear Systems

Evaluating and Applying Determinants

Using Inverses of Matrices to Solve Linear Systems

Solving Nonlinear Systems

Partial Fractions

#### Test on Systems of Equations and Matrices

## Unit 6: The Trigonometric Functions

Target 14

Angles, Radian Measure, and Arc Length

Right Angle Trigonometry

The Trigonometric Functions

Extra Credit:  More on basic trig

Target 15

Graphing Sine and Cosine

Graphing Sine and Cosine Functions with Vertical and Horizontal Shifts

Graphing Other Trigonometric Functions

## Unit 7: Trigonometric Identities

Basic Trigonometric Identities

Simplifying Trigonometric Expressions

Proving Trigonometric Identities

Inverse Trigonometric Functions

Solving Trigonometric Equations

The Sum and Difference Identities

Double-Angle Identities

Target 17

The Law of Sines

The Law of Cosines

Vectors: Operations and Applications

Components of Vectors and Unit Vectors

Complex Numbers in Trigonometric Form

Using DeMoivre's Theorem to find Powers and Roots of Complex Numbers

## Unit 8: Topics in Pre Calc

Target 18

Rotation of Conics

Parametric Equations

Graphs of Polar Equations

Functions in Polar Coordinates and their Graphs

Polar Equations of Conics.

Target 19

The Concept of a Limit and Finding Limits Graphically

Target 20

The Limit Laws

Evaluating Limits

Continuity and Discontinuity

# Home work  10%

Online at  www.deltamath.com

# Assessment / Test    45%

Assessment is at the end of Target.

Test is at the end of Unit

Portfolio / Exam are at the end of Semsester

# Participate     5%

### Text book:

Although I do not follow the sequence of the textbook here, students can always (and welcome to) use it as a resources of info   Click for e-textbook

Using PPS Total Points (A-F) with D structure

Activity:  Trig Tactile                  Students' work

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Here is some desmos for your reference

(Click will open in desmos.com)