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Algebra 2 · Lessons

Algebra 2 lessons

22 sections · 59 skills · work through the full outline skill by skill — read the long-form lesson or flip through the slide-style version.
Long-form lessonsSlide-style lessons

Algebra 2

Practice 59 skills across this outline.

Recommended next
Exponents, Logarithms, and Their Inverse Relationship
Function Concepts & Notation
Long-form lesson
Weighting distribution
28 categories
Function Concepts & Notation
5%
Seeing Structure in Expressions
5%
Polynomial Identities
5%
Zeros & Factors of Polynomials
5%
Model Relationships with Functions
5%
Rational Expressions
5%

Skills

The comprehensive taxonomy of algebra 2 — drill into a card to work its skills.

Function Concepts & Notation

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Exponents, Logarithms, and Their Inverse RelationshipRecommended
Long-form

Seeing Structure in Expressions

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Interpret parts of an expression, such as terms, factors, and coefficients.Available
Long-form

Analyze Functions · Graphing Functions

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Graph Exponential, Logarithmic, and Trig FunctionsAvailable
Long-form
2
Graph Polynomial Functions and End BehaviorAvailable
Long-form
3
Graph Rational Functions and Identify AsymptotesAvailable
Long-form

Analyze Functions · General Skills

1 core skills1% total weight
0/1 completed
1 skill to mastery
1
Comparing Functions Represented in Different WaysAvailable
Long-form

Polynomial Identities

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Applying the Binomial TheoremAvailable
Long-form
2
Proving and Applying Polynomial IdentitiesAvailable
Long-form

Zeros & Factors of Polynomials

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Applying the Remainder TheoremAvailable
Long-form
2
Zeros of Polynomials to Construct GraphsAvailable
Long-form
3
Rational Zeros TheoremAvailable
Long-form

Model Relationships with Functions

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Arithmetic and Geometric Sequences as FunctionsAvailable
Long-form

Rational Expressions

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Operating with Rational ExpressionsAvailable
Long-form
2
Rewriting Rational ExpressionsAvailable
Long-form

Expression Structure · Interpreting Expressions In Context

1 core skills2% total weight
0/1 completed
1 skill to mastery
1
Deconstructing Complicated ExpressionsAvailable
Long-form

Expression Structure · Interpreting Parts of An Expression

1 core skills1% total weight
0/1 completed
1 skill to mastery
1
Terms, Factors, & CoefficientsAvailable
Long-form

Expression Structure · General Skills

1 core skills1% total weight
0/1 completed
1 skill to mastery
1
Using Structure to Rewrite ExpressionsAvailable
Long-form

Construct & Compare Functions · Modeling with Linear and Exponential Functions

3 core skills2% total weight
0/3 completed
3 skills to mastery
1
Compare Linear and Exponential GrowthAvailable
Long-form
2
Recognize Constant Rate ChangesAvailable
Long-form
3
Recognize Percent Growth or DecayAvailable
Long-form

Construct & Compare Functions · General Skills

3 core skills2% total weight
0/3 completed
3 skills to mastery
1
Comparing Linear, Quadratic, Polynomial, Exponential GrowthAvailable
Long-form
2
Constructing Linear and Exponential FunctionsAvailable
Long-form
3
Solving Exponential Equations with LogarithmsAvailable
Long-form

Complex Numbers on the Plane

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Complex Numbers in Rectangular, Polar FormAvailable
Long-form
2
Distance Midpoints in the Complex PlaneAvailable
Long-form
3
Geometric Representations of Complex NumbersAvailable
Long-form

One-Variable Equations & Inequalities

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Complete the Square to Find SolutionsAvailable
Long-form
2
Solve Quadratics by Multiple MethodsAvailable
Long-form

Create Equations & Relationships

4 core skills5% total weight
0/4 completed
4 skills to mastery
1
Creating/Solving One Variable Equations/InequalitiesAvailable
Long-form
2
Creating and Graphing Two Variable EquationsAvailable
Long-form
3
Modeling with Equation/InequalityConstraintsAvailable
Long-form
4
Rearranging Formulas to Highlight QuantitiesAvailable
Long-form

Equivalent Expressions · General Skills

2 core skills3% total weight
0/2 completed
2 skills to mastery
1
Deriving/Applying the Geometric Series FormulaAvailable
Long-form
2
Using Logarithm PropertiesAvailable
Long-form

Equivalent Expressions · Revealing Properties by Rewriting Expressions

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
Factor Quadratics to Find ZerosAvailable
Long-form
2
Rewrite Exponential Expressions Using ExponentsAvailable
Long-form

Geometry & Conic Sections

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Derive the Equation of a CircleAvailable
Long-form

Complex Numbers in Polynomials

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Extending Polynomial Identities to Complex NumbersAvailable
Long-form
2
Fundamental Theorem of Algebra for QuadraticsAvailable
Long-form

Interpret Function Models

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Interpreting Parameters in Linear/Exponential ModelsAvailable
Long-form
2
Modeling with Exponential/Logarithmic EquationsAvailable
Long-form

Interpret Functions in Context

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Interpreting/Sketching Key Features of FunctionsAvailable
Long-form
2
Relating Domain to Context and GraphsAvailable
Long-form
3
Sequences as Functions and RecursionAvailable
Long-form

Complex Number Operations

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Operations with Complex NumbersAvailable
Long-form
2
Using Conjugates with Complex NumbersAvailable
Long-form
3
Understanding Complex NumbersAvailable
Long-form

Systems of Equations

4 core skills5% total weight
0/4 completed
4 skills to mastery
1
Representing Linear Systems with MatricesAvailable
Long-form
2
Solving Linear–Quadratic SystemsAvailable
Long-form
3
Solving Systems Using Matrix InversesAvailable
Long-form
4
Solving Systems of Linear EquationsAvailable
Long-form

Building Functions · Finding and Verifying Inverse Functions

4 core skills3% total weight
0/4 completed
4 skills to mastery
1
Read Inverses from Graphs or TablesAvailable
Long-form
2
Restrict Domain to Make InvertibleAvailable
Long-form
3
Verify Functions Are InversesAvailable
Long-form
4
Find and Write an Inverse FunctionAvailable
Long-form

Building Functions · General Skills

1 core skills1% total weight
0/1 completed
1 skill to mastery
1
Transformations of Functions and GraphsAvailable
Long-form

Graphing Equations & Inequalities

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Using Intersections to Solve Equivalent FunctionsAvailable
Long-form

Polynomial Operations

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Synthetic DivisionAvailable
Long-form
2
Understanding and Operating with PolynomialsAvailable
Long-form