Algebra II Honors

Avon Lake City Schools 

Curriculum Framework

Honors Algebra II

Course Overview:

Algebra II Honors (10) - 2 semesters - .50 credit each semester. This course is designed to give students insight into the nature of mathematical thought as well as to prepare them to perform manipulations with facility. Included in the text are chapters devoted to complex numbers, logarithms and modeling written with a more rigorous approach than usually appears at this level. The material emphasizes structure of mathematics in its approach. A graphing calculator is required (TI-83 or TI-84, approximate cost: $100-$110). Prerequisite: Geometry Honors or recommendation of instructor. This class meets for one period daily for ½ unit of credit for each semester

Textbook (Title and Publishing Company): 

Big Ideas Math Algebra 2

Online/Supplemental Materials:

DeltaMath

Desmos

Assessments: 

Common assessments will be given among all honors Algebra II courses.  

 

Content/Topics/Learning Goals

Subject to Pacing and Schedules

1st Quarter- 

  • Factoring

    • Review of all types covered in Algebra 1 

    • Factoring the sum and difference of two cubes

    • Factoring by grouping with more than 4 terms

  • Simplifying radicals

    • This includes restricting the domain when needed

  • Graphing parabolas

  • Quadratic modeling

  • Solving quadratics

  • Complex numbers

  • Quadratic applications

  • Nonlinear systems of equations

  • Piecewise functions

  • Quadratic inequalities

2nd Quarter- 

  • Polynomials

    • End behavior

    • Graphing using a table and using graphing calculators

    • Long division

    • Synthetic division

    • Pascal's triangle

    • Factoring using synthetic division

    • Rational root theorem

    • Descartes rule of signs

    • Complex conjugate theorem

  • Rational Exponents

    • Nth roots

    • Solving equations

    • Graphs

    • Radical equations

    • Radical inequalities

3rd Quarter- 

  • Functions

    • Function operations

    • Inverse functions

    • Composite functions

  • Rational Expressions

    • Multiplying and dividing rational expressions

    • Adding and Subtracting rational expressions

    • Complex fractions

    • Solving rational expressions

    • Solving rational inequalities

    • Graphing rational functions

    • Rational constraints

  • Exponentials

    • Graphing exponentials

    • Solving exponential

  • Logarithms

    • Evaluating logs

    • Converting from logs to exponentials

    • Solving logarithmic equations

    • Properties of logarithms

  • Exponential and logarithmic applications

  • Compound absolute value inequalities

4th Quarter -  

  • Trigonometry

    • Unit circle

    • Radians

    • Reference and coterminal

  • Angles

    • Trig properties and ID’s

    • Simplifying trig expressions

    • Trig proofs

    • Graphing sine, cosine, and tangent

  • Matrices or Sequences and series (based off time left in the course)

  • Advanced topics in exponents/statistics if time allows

Last Updated:

September, 2023