Algebra II Curriculum
(written fall 2012)
Take note that the following curriculum was written as a “working curriculum” in conjunction
with the Connecticut Common Core State Standards. The CCCSS for 9-12 mathematics is
included in the reference. Each unit will be modified as needed. Assessments and activities will
be designed (collaboratively) based on the written curriculum and the needs of the classroom.
They can then be included as a part of the curriculum. Note that pacing may differ based on the
needs of the class (Honors v. Standard)
The following pages contain the course outline based on the Larsen text: Algebra 2.
Algebra 2 – Course Outline
Algebra Ready Pretest/Expectations
Unit 1a – Linear Functions: Piecewise Functions
Generating Linear Equations
Reviewing Domain and Range
Piecewise Functions and Domain and Range
Modeling with Piecewise Functions: Making it Real
Unit 1 – Quadratic Functions and Factoring
Graphing Quadratic Functions in Standard Form

Focus on 𝑥 = −
𝑏
2𝑎
and numerical approach
Graphing Quadratic Functions in Vertex or Intercept Form
 Connections to Transformations
Solve ax2 + bx + c = 0 for all a by Graphing and Factoring
Solve Quadratic Equations by Finding Square Roots
Perform Operations with Complex Numbers
Completing the Square and Its Purpose
Use the Quadratic Formula and the Discriminant
Graph and Solve Quadratic Inequalities
Unit 2 – Polynomial and Polynomial Functions
Use Properties of Exponents
Evaluate and Graph Polynomial Functions
 Use transformations on simple cubic (y = x3)
Add, Subtract, and Multiply Polynomials
Apply Remainder and Factor Theorems
Find Rational Zeros
Apply the Fundamental Theorem of Algebra
Analyze Graphs of Polynomial Functions
Unit 3 – Rational Exponents and Radical Functions
Evaluate nth Roots and Use Rational Exponents
Apply Properties of Rational Exponents
Perform Function Operations and Composition
Use Inverse Functions
Graph Square Root and Cube Root Functions
 Apply transformations to simple square and cube root functions
Solve Radical Equations
Unit 4 – Exponential and Logarithmic Functions
Graph Exponential Growth and Decay Functions
Use Functions Involving e
Evaluate Logarithms and Logarithmic Functions
Apply Properties of Logarithms
Solve Exponential and Logarithmic Equations
Write and Apply Exponential and Power Functions
 Apply transformations to simple exponential and power functions.
 Make connections to exponent rules.
Unit 5 – Rational Functions
Model Inverse and Joint Variation
Graph Simple Rational Functions
Graph General Rational Functions
 Apply transformations to simple rational functions.
 Make connections to mixed expressions and rational expressions.
Multiply and Divide Rational Expressions
Add and Subtract Rational Expressions
Solve Rational Expressions
Describe and Compare Function Characteristics
Unit 6 – Trigonometric Ratios and Functions (Chapter 9 in text)
Use Trigonometry with Right Triangles
Define Central Angles and Use Radian Measure
Evaluate Trigonometric Functions of Any Angle
Evaluate Inverse Trigonometric Functions
Unit 7 – Trigonometric Graphs, Identities, and Equations (Chapter 10 in text)
Graph Sine, Cosine, and Tangent Functions
Translate and Reflect Trigonometric Functions
Verify Trigonometric Identities
 Focus on Reciprocal, Quotient, Co-function and Negative Angle and Pythagorean
Solve Trigonometric Equations
Write Trigonometric Functions and Models
Apply Sum and Difference Formulas
Unit 8 – Data Analysis and Statistics (Chapter 6 in text)
Use Combinations and Binomial Theorem
Construct and Interpret Binomial Distribution
Use Normal Distribution
Select and Draw Conclusions from Samples
Compare Surveys, Experiments, and Observational Studies