Course title

Algebra III

Pre-requisite

Algebra II, Honors Algebra II, or Accelerated Algebra II/Pre-Calculus

Course description

This course is designed to prepare students for a collegiate level Algebra course. The purpose of this course is to reinforce mathematical symbols; operations; functions and graphing concepts necessary to be successful in higher math courses. This includes (1) a study of functions and graphs (2) properties of polynomials; rational; exponential; and logarithmic functions; and (3) a study of trigonometric functions and applications.

Quarter 1:Solving Equations: Identify types of equations; Solve Linear; Quadratic; Polynomial; Radicals and Absolute ValueFunctions; 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 RootShifting; 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 ModelTrig 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 IdentitiesLaw of Sines: AAS; ASA or SSA; Find Area of Oblique Triangles; Law of SinesLaw of Cosines: Law of Cosines (SSS or SAS); Heron’s Area FormulaSolving Trig Equations: Use Algebra to Solve Trig Equations; Solve Trig Equations of Quadratics; Solve Trig Equations of Multiple Angles; Use Inverse to Solve TrigSum and Difference Formulas: Use the Sum and Difference FormulasMultiple-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 eLog Functions and Graphs: Log Functions; Graph Log; Natural Log; Use Log to GraphProperties of Logs: Change Base Formula; Expand and Condense Log Functions; Use Log in Real Life.Exponential and Log Equations: Solve Exponential and Log FunctionsConics: Introduction to Conics; Parabolas; Standard Form; Tangent LinesEllipses: Standard Form; Properties of EllipsesHyperbolas: Standard Form; Asymptotes; Properties; Classify Conics From General Equations.

School country

United States

School state

Arizona

School city

Avondale

School / district Address

1481 N Eliseo Felix Jr. Way

School zip code

85323

Requested competency code

Math

Date submitted

02/12/2019

Approved

Yes

Approved competency code

• MTHA
• 4 years of Math

Approved date

02/27/2019

Online / Virtual

No