Math 3 · Lessons

Math 3 lessons

5 sections · 101 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

Practice 101 skills across this outline.

Recommended next

Connecting Representations

Mathematical Practices & Reasoning

Long-form lesson

Weighting distribution

18 categories

Mathematical Practices & Reasoning

20%

Modeling & Applications · Solving & Interpreting Applied Equations

Modeling & Applications · Modeling with Function Families

Statistics & Probability · Simulation, Margin of Error & Inference

Statistics & Probability · Normal Distribution & Standardization

Geometry · Coordinate Geometry & Proof

Skills

The comprehensive taxonomy of math 3 — drill into a card to work its skills.

Mathematical Practices & Reasoning

4 core skills20% total weight

0/4 completed

4 skills to mastery

Connecting RepresentationsRecommended

Long-form

Critiquing & Refining ModelsAvailable

Long-form

Constructing Mathematical ArgumentsAvailable

Long-form

Strategic Tool UseAvailable

Long-form

Algebra & Functions · Trigonometric Functions

5 core skills3% total weight

0/5 completed

5 skills to mastery

Trigonometric IdentitiesAvailable

Long-form

Solving Trig EquationsAvailable

Long-form

Graphing Sine & CosineAvailable

Long-form

Unit Circle: Sine & CosineAvailable

Long-form

Degrees & RadiansAvailable

Long-form

Algebra & Functions · Solving Advanced Equations

6 core skills3% total weight

0/6 completed

6 skills to mastery

Compound Inequalities with RationalsAvailable

Long-form

Solving Absolute Value EquationsAvailable

Long-form

Solving Radical EquationsAvailable

Long-form

Explaining Extraneous SolutionsAvailable

Long-form

Choosing Equation-Solving StrategiesAvailable

Long-form

Solving Rational EquationsAvailable

Long-form

Algebra & Functions · Rational Expressions & Rational Functions

6 core skills4% total weight

0/6 completed

6 skills to mastery

Rational Function FeaturesAvailable

Long-form

Rewriting Rational ExpressionsAvailable

Long-form

Simplifying Rational ExpressionsAvailable

Long-form

Domain & DiscontinuitiesAvailable

Long-form

Rational Function ModelingAvailable

Long-form

Rational Expression OperationsAvailable

Long-form

Algebra & Functions · Polynomial Functions

6 core skills3% total weight

0/6 completed

6 skills to mastery

Remainder TheoremAvailable

Long-form

Building Polynomials from ZerosAvailable

Long-form

Interpreting Polynomial GraphsAvailable

Long-form

Factor TheoremAvailable

Long-form

Polynomial DivisionAvailable

Long-form

Zero Multiplicity & Graph BehaviorAvailable

Long-form

Algebra & Functions · Functions: Composition, Inverses & Transformations

6 core skills4% total weight

0/6 completed

6 skills to mastery

Composite FunctionsAvailable

Long-form

Comparing Function FamiliesAvailable

Long-form

Function Graph TransformationsAvailable

Long-form

Finding & Verifying Inverse FunctionsAvailable

Long-form

Interpreting Inverse RelationshipsAvailable

Long-form

One-to-One FunctionsAvailable

Long-form

Algebra & Functions · Exponential & Logarithmic Functions

6 core skills4% total weight

0/6 completed

6 skills to mastery

Exponential-Logarithmic Inverse RelationshipAvailable

Long-form

Logarithm PropertiesAvailable

Long-form

Exponential Functions with Real ExponentsAvailable

Long-form

Solving with LogarithmsAvailable

Long-form

Exponential & Logarithmic ModelingAvailable

Long-form

Comparing Exponential vs. LogarithmicAvailable

Long-form

Statistics & Probability · Study Design & Data Collection

5 core skills5% total weight

0/5 completed

5 skills to mastery

Random Sampling & AssignmentAvailable

Long-form

Sampling BiasAvailable

Long-form

Designing Studies & SurveysAvailable

Long-form

Evaluating Study ConclusionsAvailable

Long-form

Observational Studies vs. ExperimentsAvailable

Long-form

Statistics & Probability · Simulation, Margin of Error & Inference

5 core skills6% total weight

0/5 completed

5 skills to mastery

Sampling Distributions via SimulationAvailable

Long-form

Comparing Groups via SimulationAvailable

Long-form

Communicating Statistical ConclusionsAvailable

Long-form

Evaluating Data-Based ClaimsAvailable

Long-form

Margin of ErrorAvailable

Long-form

Statistics & Probability · Probability & Expected Value

5 core skills4% total weight

0/5 completed

5 skills to mastery

Simulating Expected ValueAvailable

Long-form

Computing ProbabilitiesAvailable

Long-form

Comparing Options with Expected ValueAvailable

Long-form

Expected ValueAvailable

Long-form

Multi-Step Probability ProblemsAvailable

Long-form

Statistics & Probability · Normal Distribution & Standardization

5 core skills6% total weight

0/5 completed

5 skills to mastery

Interpreting Normal Model ResultsAvailable

Long-form

Normal Curve ProportionsAvailable

Long-form

Normal Model AppropriatenessAvailable

Long-form

Using z-ScoresAvailable

Long-form

Standard Deviation & DistributionsAvailable

Long-form

Geometry · Similarity/Trigonometry Connections

6 core skills5% total weight

0/6 completed

6 skills to mastery

Similarity & Trig for MeasurementAvailable

Long-form

Ambiguous Trig SolutionsAvailable

Long-form

Choosing Triangle MethodsAvailable

Long-form

Deriving Trig from SimilarityAvailable

Long-form

Law of Sines & CosinesAvailable

Long-form

Non-Right Triangle ModelingAvailable

Long-form

Geometry · Geometric Modeling, Volume & Cross-Sections

6 core skills5% total weight

0/6 completed

6 skills to mastery

Scaling Effects on Area & VolumeAvailable

Long-form

3D Solid VolumesAvailable

Long-form

Composite Solid ModelingAvailable

Long-form

Cross-Sections of SolidsAvailable

Long-form

Density & Volume ModelingAvailable

Long-form

Multi-Step Volume ProblemsAvailable

Long-form

Geometry · Circle Geometry & Measurement

6 core skills4% total weight

0/6 completed

6 skills to mastery

Arc Length & Sector AreaAvailable

Long-form

Chord, Secant & Tangent RelationshipsAvailable

Long-form

Circle Angle RelationshipsAvailable

Long-form

Completing Square for CirclesAvailable

Long-form

Circle Measure ApplicationsAvailable

Long-form

Circle EquationsAvailable

Long-form

Geometry · Coordinate Geometry & Proof

6 core skills6% total weight

0/6 completed

6 skills to mastery

Justifying Coordinate ProofsAvailable

Long-form

Algebraic Constraints & LociAvailable

Long-form

Critiquing Coordinate ProofsAvailable

Long-form

Coordinate ProofsAvailable

Long-form

Writing Equations from GeometryAvailable

Long-form

Vectors for Geometric ReasoningAvailable

Long-form

Modeling & Applications · Trigonometric & Geometric Modeling

6 core skills5% total weight

0/6 completed

6 skills to mastery

Scaling Relationships in ModelsAvailable

Long-form

Sinusoidal ModelingAvailable

Long-form

3D Volume ModelingAvailable

Long-form

Circle & Arc ModelingAvailable

Long-form

Error Sources in ModelingAvailable

Long-form

Trig Measurement ModelingAvailable

Long-form

Modeling & Applications · Solving & Interpreting Applied Equations

6 core skills8% total weight

0/6 completed

6 skills to mastery

Sensitivity AnalysisAvailable

Long-form

Solving & Explaining StepsAvailable

Long-form

Interpreting & Discarding SolutionsAvailable

Long-form

Translating Context to EquationsAvailable

Long-form

Units & Precision in AnswersAvailable

Long-form

Verifying Solutions with TechnologyAvailable

Long-form

Modeling & Applications · Modeling with Function Families

6 core skills7% total weight

0/6 completed

6 skills to mastery

Choosing Function FamiliesAvailable

Long-form

Comparing ModelsAvailable

Long-form

Communicating Modeling SolutionsAvailable

Long-form

Domain & Range in ModelsAvailable

Long-form

Model Limitations & UncertaintyAvailable

Long-form

Fitting Models to DataAvailable

Long-form