Course title

Pre-requisite

Course description

This course is designed for college bound students in preparation of taking College Algebra at the post-secondary level. This course will include the following topics: sequences and series; conic sections; linear and non-linear (piecewise; quadratic; polynomial; rational; absolute value) systems; functions and trigonometry; conics; and exponential and logarithmic functions. This course will emphasize the application of these topics to real life situations. Scientific and graphing calculators will be used when appropriate.
Course Performance Expectations:
Solving Equations: Identify types of equations; Solve Linear; Quadratic; Polynomial; Radicals and Absolute Value
Functions; Equations and Graphs: Linear equations in 2 variables (slope to graph; slopes of lines; and write equations); Functions/Relations; Function Notation; Domain of Functions.
Library of Functions: Identify and Graph Linear; Quadratic; Cubic; Square Root
Shifting; Reflecting and Stretching Graphs: Vertical and Horizontal Shifts; Reflections of Graphs; Transformations to Sketch Graphs.
Right Triangle Trig: Evaluate Trig Functions of Acute Angles; Fundamental Trig Functions; Use Calculator to Evaluate Trig Functions.
Trig Functions: Unit Circle; Trig Functions and Unit Circle; Domain and Period to Evaluate Sine and Cosine; Calculator to Evaluate Trig.
Radian and Degree Measure: Describe Angles; Radian and Degree Measure; Use Angles to Model
Trig Functions of Any Angle: Trig Functions of Any Angle; Reference Angles; Evaluate Trig Functions.
Graph of Sine and Cosine: Amplitude and Period Sketch; Graphs of Sine and Cosine; Translations of Graphs; Sine and Cosine to Model.
Graph of Other Trig Functions: Sketch Graphs of Tangent/Cotangent and Secant/Cosecant.
Inverse Trig Functions: Inverse Trig Functions; Use Graph to Determine Inverse
Verifying Trig Identities: Verify Trig Identities
Law of Sines: AAS; ASA or SSA; Find Area of Oblique Triangles; Law of Sines
Law of Cosines: Law of Cosines (SSS or SAS); Heron’s Area Formula
Solving Trig Equations: Use Algebra to Solve Trig Equations; Solve Trig Equations of Quadratics; Solve Trig Equations of Multiple Angles; Use Inverse to Solve Trig
Exponential Functions and Graphs: Evaluate Exponential Functions; Graph Exponential Functions; Evaluate with Base e
Log Functions and Graphs: Log Functions; Graph Log; Natural Log; Use Log to Graph
Properties of Logs: Change Base Formula; Expand and Condense Log Functions; Use Log in Real Life.
Exponential and Log Equations: Solve Exponential and Log Functions
Conics: Introduction to Conics; Parabolas; Standard Form; Tangent Lines
Ellipses: Standard Form; Properties of Ellipses
Hyperbolas: Standard Form; Asymptotes; Properties; Classify Conics From General Equations.

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Requested competency code

Date submitted

Approved

Approved competency code

• MTHA
• 4 years of Math

Approved date

Online / Virtual