Math 1 · Lessons

Math 1 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

Multi-Step Geometric Problems

Modeling & Applications · Geometric Modeling & Measurement

Long-form lesson

Weighting distribution

20 categories

Mathematical Practices & Reasoning · Reasoning, Proof & Precision

11%

Mathematical Practices & Reasoning · Tools, Representations & Strategic Choice

Modeling & Applications · Modeling with Exponential Functions

Modeling & Applications · Modeling with Linear Functions

Statistics & Probability · Probability Foundations

Statistics & Probability · Univariate Data (Center & Spread)

Skills

The comprehensive taxonomy of math 1 — drill into a card to work its skills.

Modeling & Applications · Geometric Modeling & Measurement

5 core skills5% total weight

0/5 completed

5 skills to mastery

Multi-Step Geometric ProblemsRecommended

Long-form

Computing Missing MeasuresAvailable

Long-form

Geometric ModelingAvailable

Long-form

Dimension Changes & ScalingAvailable

Long-form

Coordinate Geometry ModelingAvailable

Long-form

Modeling & Applications · Modeling with Linear Functions

5 core skills7% total weight

0/5 completed

5 skills to mastery

Communicating Modeling SolutionsAvailable

Long-form

Building Linear Models from DataAvailable

Long-form

Defining Variables & Writing EquationsAvailable

Long-form

Interpreting Model ParametersAvailable

Long-form

Analyzing Model ReasonablenessAvailable

Long-form

Modeling & Applications · Modeling with Exponential Functions

5 core skills8% total weight

0/5 completed

5 skills to mastery

Predictions with Exponential ModelsAvailable

Long-form

Domain Limitations in ModelsAvailable

Long-form

Choosing Linear vs. ExponentialAvailable

Long-form

Exponential Growth/Decay ModelingAvailable

Long-form

Percent Change & Growth FactorsAvailable

Long-form

Algebra & Functions · Linear Equations & Inequalities

5 core skills4% total weight

0/5 completed

5 skills to mastery

Checking Solutions by SubstitutionAvailable

Long-form

No Solution & Infinite SolutionsAvailable

Long-form

Solving Linear InequalitiesAvailable

Long-form

Rewriting Linear EquationsAvailable

Long-form

Compound InequalitiesAvailable

Long-form

Algebra & Functions · Functions as Representations

5 core skills3% total weight

0/5 completed

5 skills to mastery

Average Rate of ChangeAvailable

Long-form

Constructing Functions from ContextAvailable

Long-form

Functions & Function NotationAvailable

Long-form

Evaluating & Interpreting FunctionsAvailable

Long-form

Comparing Function GrowthAvailable

Long-form

Algebra & Functions · Exponential Relationships

5 core skills3% total weight

0/5 completed

5 skills to mastery

Recognizing Exponential Growth/DecayAvailable

Long-form

Using Exponential ModelsAvailable

Long-form

Exponent RulesAvailable

Long-form

Comparing Linear vs. Exponential ModelsAvailable

Long-form

Interpreting Exponential ParametersAvailable

Long-form

Algebra & Functions · Linear Relationships & Rate of Change

6 core skills4% total weight

0/6 completed

6 skills to mastery

Linear vs. Non-Linear PatternsAvailable

Long-form

Interpreting Rate & Initial ValueAvailable

Long-form

Writing Linear EquationsAvailable

Long-form

Interpreting Slope & InterceptsAvailable

Long-form

Making Predictions from RateAvailable

Long-form

Slope as Rate of ChangeAvailable

Long-form

Algebra & Functions · Systems of Linear Equations & Inequalities

5 core skills4% total weight

0/5 completed

5 skills to mastery

Interpreting System SolutionsAvailable

Long-form

Solving Systems by EliminationAvailable

Long-form

Systems of Linear InequalitiesAvailable

Long-form

Solving Systems by GraphingAvailable

Long-form

Solving Systems by SubstitutionAvailable

Long-form

Algebra & Functions · Sequences & Recursive Thinking

5 core skills3% total weight

0/5 completed

5 skills to mastery

Arithmetic SequencesAvailable

Long-form

Recursive Rules for SequencesAvailable

Long-form

Modeling with Arithmetic SequencesAvailable

Long-form

Arithmetic Sequences & Linear FunctionsAvailable

Long-form

Interpreting Sequence ParametersAvailable

Long-form

Statistics & Probability · Bivariate Data & Linear Modeling

5 core skills4% total weight

0/5 completed

5 skills to mastery

Linear Regression ModelsAvailable

Long-form

Comparing Bivariate RelationshipsAvailable

Long-form

Scatterplots & AssociationAvailable

Long-form

Residuals & Model FitAvailable

Long-form

Correlation vs. CausationAvailable

Long-form

Statistics & Probability · Univariate Data (Center & Spread)

5 core skills6% total weight

0/5 completed

5 skills to mastery

Outlier Effects on CenterAvailable

Long-form

Measures of CenterAvailable

Long-form

Measures of SpreadAvailable

Long-form

Comparing DistributionsAvailable

Long-form

Distribution Shape & OutliersAvailable

Long-form

Statistics & Probability · Probability Foundations

5 core skills7% total weight

0/5 completed

5 skills to mastery

Simulating ProbabilitiesAvailable

Long-form

Simple Event ProbabilitiesAvailable

Long-form

Interpreting ProbabilityAvailable

Long-form

Evaluating Probability ModelsAvailable

Long-form

Compound Event ProbabilitiesAvailable

Long-form

Statistics & Probability · Categorical Data & Two-Way Tables

4 core skills3% total weight

0/4 completed

4 skills to mastery

Segmented Bar ChartsAvailable

Long-form

Conditional Relative FrequenciesAvailable

Long-form

Two-Way TablesAvailable

Long-form

Relative FrequenciesAvailable

Long-form

Geometry · Congruence & Triangle Reasoning

6 core skills4% total weight

0/6 completed

6 skills to mastery

Triangle InequalityAvailable

Long-form

Triangle Angle TheoremsAvailable

Long-form

Triangle Congruence CriteriaAvailable

Long-form

CPCTCAvailable

Long-form

Applying Congruence ReasoningAvailable

Long-form

Isosceles Triangles & CongruenceAvailable

Long-form

Geometry · Perimeter, Area & Volume

5 core skills4% total weight

0/5 completed

5 skills to mastery

Volume CalculationsAvailable

Long-form

Multi-Step Measurement ProblemsAvailable

Long-form

Perimeter & AreaAvailable

Long-form

Circle Area & CircumferenceAvailable

Long-form

Units & PrecisionAvailable

Long-form

Geometry · Coordinate Geometry

5 core skills4% total weight

0/5 completed

5 skills to mastery

Distance FormulaAvailable

Long-form

Parallel & Perpendicular LinesAvailable

Long-form

Midpoint FormulaAvailable

Long-form

Verifying Properties with CoordinatesAvailable

Long-form

Coordinate ProofsAvailable

Long-form

Geometry · Rigid Transformations & Symmetry

5 core skills3% total weight

0/5 completed

5 skills to mastery

Rigid TransformationsAvailable

Long-form

SymmetryAvailable

Long-form

Transformation SequencesAvailable

Long-form

Describing TransformationsAvailable

Long-form

Determining Congruence via TransformationsAvailable

Long-form

Geometry · Similarity Foundations

5 core skills5% total weight

0/5 completed

5 skills to mastery

Dilation & SimilarityAvailable

Long-form

Triangle SimilarityAvailable

Long-form

Scale Drawings & MapsAvailable

Long-form

Similarity & Parallel Line SlopesAvailable

Long-form

Scale Factors in Similar FiguresAvailable

Long-form

Mathematical Practices & Reasoning · Reasoning, Proof & Precision

5 core skills11% total weight

0/5 completed

5 skills to mastery

Precision in Mathematical WorkAvailable

Long-form

Critiquing Mathematical ReasoningAvailable

Long-form

Explaining Mathematical MethodsAvailable

Long-form

Justifying Solution PathsAvailable

Long-form

Using CounterexamplesAvailable

Long-form

Mathematical Practices & Reasoning · Tools, Representations & Strategic Choice

5 core skills9% total weight

0/5 completed

5 skills to mastery

Selecting Efficient StrategiesAvailable

Long-form

Using Technology ToolsAvailable

Long-form

Translating Between RepresentationsAvailable

Long-form

Estimating for ReasonablenessAvailable

Long-form

Choosing RepresentationsAvailable

Long-form