Course title

Pre-requisite

Course description

We use the Beyond Textbooks Curriculum provided by the Vail School District in Tucson.

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

High school

School / district Address

School zip code

Requested competency code

Date submitted

Approved

Approved competency code

• MTH3
• 4 years of Math

Approved date

Online / Virtual