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 systems; functions and trigonometry; conics; and exponential and logarithmic functions. Scientific and graphing calculators will be used when appropriate.

Prerequisite: Successful completion of Algebra 2 or Honors Algebra 2.

Algebra 3
Class Description

Quarter 1:

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.

Inverse Functions: Explore Inverse Functions; Use Graphs to Determine Inverses; Horizontal Line Test.

Quarter 2:

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
Quarter 3:

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

Sum and Difference Formulas: Use the Sum and Difference Formulas

Multiple-Angle and Product to Sum Formulas: Multiple Angle Formulas; Half-Angle Formulas; Product to Sum Formulas; and Sum to Product Formulas.

Quarter 4:

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.

School country

School state

School city

School / district Address

School zip code

Requested competency code

Date submitted

Approved

Approved competency code

• MTH3
• 4 years of Math

Approved date

Online / Virtual