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Algebra · Lessons

Algebra lessons

20 sections · 51 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

Practice 51 skills across this outline.

Recommended next
Recognize Constant Rate Changes
Construct & Compare Functions · Modeling with Linear and Exponential Functions
Long-form lesson
Weighting distribution
28 categories
Interpret Functions in Context
5%
Graphing Equations & Inequalities
5%
Rational Expressions
5%
Reasoning in Solving Equations
5%
Polynomial Operations
5%
Function Concepts & Notation
5%

Skills

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

Construct & Compare Functions · Modeling with Linear and Exponential Functions

2 core skills3% total weight
0/2 completed
2 skills to mastery
1
Recognize Constant Rate ChangesRecommended
Long-form
2
Recognize Percent Growth or DecayAvailable
Long-form

Construct & Compare Functions · General Skills

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
Comparing Linear, Quadratic, Polynomial, Exponential GrowthAvailable
Long-form
2
Constructing Linear and Exponential FunctionsAvailable
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 skills2% total weight
0/1 completed
1 skill to mastery
1
Terms, Factors, & CoefficientsAvailable
Long-form

Expression Structure · General Skills

1 core skills2% total weight
0/1 completed
1 skill to mastery
1
Using Structure to Rewrite ExpressionsAvailable
Long-form

Model Relationships with Functions · General Skills

1 core skills1% total weight
0/1 completed
1 skill to mastery
1
Arithmetic and Geometric Sequences as FunctionsAvailable
Long-form

Model Relationships with Functions · Writing Functions to Model Relationships

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Combine Different Function TypesAvailable
Long-form
2
Compose Two FunctionsAvailable
Long-form
3
Write Explicit or Recursive FunctionsAvailable
Long-form

Interpret Functions in Context

4 core skills5% total weight
0/4 completed
4 skills to mastery
1
Average Rate of ChangeAvailable
Long-form
2
Interpreting/Sketching Key Features of FunctionsAvailable
Long-form
3
Relating Domain to Context and GraphsAvailable
Long-form
4
Sequences as Functions and RecursionAvailable
Long-form

Graphing Equations & Inequalities

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Graphing Linear Inequalities and SystemsAvailable
Long-form
2
Graphs as Sets of SolutionsAvailable
Long-form

Equivalent Expressions · Revealing Properties by Rewriting Expressions

3 core skills4% total weight
0/3 completed
3 skills to mastery
1
Complete the Square to Find ExtremaAvailable
Long-form
2
Factor Quadratics to Find ZerosAvailable
Long-form
3
Rewrite Exponential Expressions Using ExponentsAvailable
Long-form

Equivalent Expressions · General Skills

1 core skills1% total weight
0/1 completed
1 skill to mastery
1
Deriving/Applying the Geometric Series FormulaAvailable
Long-form

Rational Expressions

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

Reasoning in Solving Equations

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Explaining and Justifying Equation Solving StepsAvailable
Long-form
2
Solving Rational and Radical EquationsAvailable
Long-form

Polynomial Operations

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Understanding and Operating with PolynomialsAvailable
Long-form

Function Concepts & Notation

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Understanding Functions, Domain, and RangeAvailable
Long-form
2
Function Notation and EvaluationAvailable
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

Analyze Functions · Graphing Functions

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
Graph Linear and Quadratic FunctionsAvailable
Long-form
2
Graph Square Root and Piecewise FunctionsAvailable
Long-form

Analyze Functions · Rewriting Functions to Reveal Properties

2 core skills2% total weight
0/2 completed
2 skills to mastery
1
Use Factoring, Squares to Analyze GraphsAvailable
Long-form
2
Interpret Exponential Functions and Growth RateAvailable
Long-form

One-Variable Equations & Inequalities · Solving Quadratic Equations in One Variable

2 core skills3% 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

One-Variable Equations & Inequalities · General Skills

1 core skills2% total weight
0/1 completed
1 skill to mastery
1
Solving One Variable Linear Equations/InequalitiesAvailable
Long-form

Create Equations & Relationships

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

Quantitative Reasoning & Units

3 core skills5% total weight
0/3 completed
3 skills to mastery
1
Choosing Appropriate Levels of AccuracyAvailable
Long-form
2
Defining Quantities for Descriptive ModelingAvailable
Long-form
3
Using Units in Problem Solving, ModelingAvailable
Long-form

Rational & Irrational Numbers

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Rational and Irrational Number OperationsAvailable
Long-form

Interpret Function Models

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Interpreting Parameters in Linear/Exponential ModelsAvailable
Long-form

Zeros & Factors of Polynomials

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Zeros of Polynomials to Construct GraphsAvailable
Long-form

Rational Exponents

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Rewriting Expressions with Radicals, Rational ExponentsAvailable
Long-form
2
Understanding Rational Exponents and RadicalsAvailable
Long-form

Systems of Equations

2 core skills5% total weight
0/2 completed
2 skills to mastery
1
Solving Linear–Quadratic SystemsAvailable
Long-form
2
Solving Systems of Linear EquationsAvailable
Long-form

Complex Numbers in Polynomials

1 core skills5% total weight
0/1 completed
1 skill to mastery
1
Solving Quadratic Equations with Complex SolutionsAvailable
Long-form