Lenny LearningLenny
Create
Explore
Workspace
LoginSign up
MathEnglish Language ArtsScience & EngineeringSocial StudiesGlobal LanguagesHealth & Physical EducationSpecial EducationCounseling & Life SkillsArts & CreativityESL
Lenny LearningLenny
Lenny Learning
About
Training
Pricing
Support
Contact
© 2026 Lenny Learning Inc.

Trigonometry

SequencesLessonsMaterialsVideos
  1. Math

Trigonometry

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

Right triangle ratios, unit circle definitions, and fundamental identities applied to angles and geometric relationships. Models periodic phenomena using trigonometric functions to analyze real-world cycles and waveforms.

Trigonometric Ratios Involving Right TrianglesSine, cosine, and tangent relationships defined within right-angled triangles. Applies these ratios to calculate unknown side lengths and angle measures in geometric and real-world contexts.
MathNumbers & CountingCounting ObjectsNumber NamesComparing NumbersNumber OperationsCounting SequenceNumbers 0-10Place Value Understanding and SystemAdd and Subtract Within 20Addition and Subtraction ConceptsAddition and Subtraction EquationsAddition and Subtraction ProblemsFoundations for MultiplicationMultiplication and Division PropertiesMultiply and Divide Within 100Multiplication and Division ProblemsFactors and MultiplesProperties of OperationsPatterns and RelationshipsGenerate and Analyze PatternsMulti-Digit ArithmeticPlace Value OperationsMulti-Digit and Decimal OperationsNumerical ExpressionsFour Operations and PatternsFour Operations Problem SolvingMeasurement & DataMeasurable AttributesMeasuring LengthsMeasure and Estimate Lengths in Standard UnitsRelate Addition and Subtraction to LengthClassifying and Counting ObjectsTime and MoneyArea Concepts and MeasurementPerimeter and Area MeasuresAngle Concepts and MeasurementTime, Volume, and MassMeasurement Unit ConversionsGeometryIdentifying ShapesShapes and AttributesShape Attributes and ReasoningShapes and CompositionClassifying 2D FiguresGeometric Figures and RelationshipsLines, Angles, and ShapesAngle, Area, and VolumeGeometric MeasurementVolume of 3D ShapesCoordinate Plane ApplicationsTransformations in the PlaneCongruence and SimilarityUnderstand congruence in terms of rigid motionsSimilarity and TransformationsProve Theorems Involving SimilarityPythagorean TheoremTrigonometry for General TrianglesMake Geometric ConstructionsProve Geometric TheoremsTheorems About CirclesFind Arc Lengths And Areas of Sectors of CirclesVolume FormulasRelationships Between Two-Dimensional and Three-Dimensional ObjectsProve Simple Geometric Theorems AlgebraicallyTranslate Between Geometric Description and Equation for Conic SectionApply Geometric Concepts in Modeling SituationsFractions & DecimalsFractions as NumbersBuilding FractionsFraction Equivalence and OrderingAdding and Subtracting FractionsMultiplying and Dividing FractionsDividing FractionsDecimal FractionsMulti-Digit Computation and FactorsAdd, Subtract, Multiply, and Divide Rational NumbersRational Number SystemIrrational Numbers and ApproximationsRatiosRatios and ProportionsProportional RelationshipsUnit RateAlgebraAlgebraic ExpressionsGenerate Equivalent ExpressionsQuantitative RelationshipsProportional Relationships and Linear EquationsEquations and InequalitiesEquation Solving and ReasoningLinear Equations and SystemsGraph Equations and InequalitiesSystems of EquationsReal-World Algebraic ProblemsQuantitative Reasoning with UnitsExpression StructureEquivalent Expression FormsRadicals and Integer ExponentsRational ExponentsRational and Irrational NumbersPolynomial OperationsPolynomial IdentitiesPolynomial Zeros and FactorsRational ExpressionsComplex Number OperationsComplex Numbers in PolynomialsComplex Numbers on PlaneStatistics & ProbabilityRepresent and Interpret DataData DistributionsStatistical VariabilityProbability ModelsCompound Event ProbabilitiesStatistical SamplingInterpret Categorical and Quantitative DataBivariate Data PatternsInterpret Linear ModelsComparing Two PopulationsRandom Processes in StatisticsIndependence and Conditional ProbabilityExpected ValuesProbability-Based Decision MakingStatistical Inference and ConclusionsFunctionsFunction Concepts and NotationDefine and Compare FunctionsInterpret Functions in ContextAnalyze Function RepresentationsModel Relationships with FunctionsIdentify Linear vs Exponential GrowthDistinguish Between Function TypesCompare Growth RatesInterpret Function ExpressionsBuild Functions from RelationshipsConstruct and Model FunctionsTransform and Combine FunctionsModel Comparison and SelectionSolve Exponential EquationsTrigonometryTrigonometric Ratios Involving Right TrianglesTrigonometric Functions and Unit CircleModel with Trigonometric FunctionsTrigonometric IdentitiesVectors & MatricesIntroduction to Vectors and MatricesVector QuantitiesVector OperationsMatrix OperationsCalculusLimits and ContinuityDerivative Concepts and NotationDerivative Rules and TechniquesApplications of DerivativesOptimization ProblemsRelated RatesCurve Sketching and AnalysisIntegration Concepts and NotationAntiderivatives and Indefinite IntegralsDefinite Integrals and AreaFundamental Theorem of CalculusIntegration TechniquesApplications of IntegrationDifferential EquationsSequences and SeriesParametric and Polar FunctionsVector-Valued Functions
Material
Code Breaker Exit Ticket

Code Breaker Exit Ticket

A concise exit ticket for students to demonstrate their ability to identify triangle sides after the lesson. Features a self-assessment scale and a single clear problem.

L

lcheong

Paraprofessional
3/2
Material
Evidence Practice Answer Key

Evidence Practice Answer Key

An answer key for the Evidence Practice Worksheet, providing clear identifications for the hypotenuse, opposite, and adjacent sides of each triangle problem.

L

lcheong

Paraprofessional
3/2
Material
Evidence Practice Worksheet

Evidence Practice Worksheet

A scaffolded practice worksheet for identifying the hypotenuse, opposite, and adjacent sides of right triangles. Includes multiple orientations and clear, labeled diagrams to support student learning.

L

lcheong

Paraprofessional
3/2
Material
Detective Handbook Reference

Detective Handbook Reference

A high-support reference sheet (anchor chart) for identifying the hypotenuse, opposite, and adjacent sides of a right triangle. Uses color coding, large fonts, and simplified visual mnemonic aids.

L

lcheong

Paraprofessional
3/2
Material
Triangle Case Files Slides

Triangle Case Files Slides

A visually engaging slide deck that uses a detective theme to teach students how to identify the hypotenuse, opposite, and adjacent sides of a right triangle. Features high contrast, large text (28pt+), and color-coded diagrams.

L

lcheong

Paraprofessional
3/2
Material
Chief Briefing Teacher Guide

Chief Briefing Teacher Guide

A teacher guide for a simplified geometry lesson on identifying triangle sides. It includes instructional strategies, color-coding tips, and a pacing guide tailored for cross-categorical special education classrooms.

L

lcheong

Paraprofessional
3/2
Material
Polygon Precision Answer Key

Polygon Precision Answer Key

A step-by-step answer key for the updated Polygon Precision worksheet, featuring calculations for a pentagon (side 8), hexagon (perimeter 72), and septagon (radius 4).

KC

Katelyn Coleman

Math Teacher
3/2
Material
Polygon Precision Worksheet

Polygon Precision Worksheet

A student worksheet for calculating the area of a regular pentagon (side 8in), hexagon (perimeter 72cm), and septagon (radius 4ft) using trigonometry.

KC

Katelyn Coleman

Math Teacher
3/2
Material
Polygon Precision Slides

Polygon Precision Slides

A presentation slide deck introducing the concept of regular polygon area calculation using decomposition and trigonometric ratios.

KC

Katelyn Coleman

Math Teacher
3/2
Material
Angle Hunter Answer Key

Angle Hunter Answer Key

Teacher answer key for the Angle Hunter Exit Ticket, providing reference angles, quadrant sign identification, and final trigonometric value calculations.

Lenny Avatar
Lenny
2/12
Material
Trig Blueprint Answer Key

Trig Blueprint Answer Key

Teacher answer key for the Trig Blueprint Worksheet, providing exact values, reference angles, and quadrant identification for all student exercises.

Lenny Avatar
Lenny
2/12
Material
Architect Guide Teacher Resource

Architect Guide Teacher Resource

A comprehensive teacher resource providing a lesson delivery framework for the Triangle Blueprint intervention. Includes learning objectives, scaffolded questioning prompts, a pacing guide, differentiation strategies, and a detailed answer key for all worksheet problems.

Lenny Avatar
Lenny
2/12
Material
Mission Briefing Worksheet

Mission Briefing Worksheet

A scaffolded practice worksheet for the Triangle Navigator lesson, featuring identification, setup, and solving levels to support tiered instruction.

Lenny Avatar
Lenny
2/12
Material
Builder Checkpoints Progress Tracker

Builder Checkpoints Progress Tracker

A teacher-facing progress monitoring tool designed for small group Tier 2 instruction. It includes a sub-skill rubric, student tracking table, and a misconception watchlist to help educators identify and address specific gaps in right triangle problem-solving.

Lenny Avatar
Lenny
2/12
Material
Plot Twists Exit Ticket

Plot Twists Exit Ticket

A short, focused exit ticket for progress monitoring. Asks students to identify matching ratios, solve a complementary angle problem, and explain the conceptual reasoning behind the relationship.

Lenny Avatar
Lenny
2/12
Material
Sine Area Check Exit Ticket

Sine Area Check Exit Ticket

A quick exit ticket for progress monitoring, featuring one computation problem, one conceptual explanation, and a student self-reflection scale.

Lenny Avatar
Lenny
2/12
Material
Trig Check Exit Ticket

Trig Check Exit Ticket

A quick 3-question progress monitoring tool for the end of the lesson, covering side labeling, ratio setup, and a conceptual check on ratio consistency.

Lenny Avatar
Lenny
2/12
Material
Final Inspection Exit Ticket

Final Inspection Exit Ticket

A quick progress monitoring tool to assess student mastery of Pythagorean Theorem and trigonometric ratios in applied contexts, featuring a self-reflection section.

Lenny Avatar
Lenny
2/12
Material
Snapshot Check Exit Ticket

Snapshot Check Exit Ticket

A concise exit ticket for progress monitoring, assessing conceptual understanding of the Law of Cosines as a generalization and procedural application.

Lenny Avatar
Lenny
2/12
Material
Intervention Facilitation Guide

Intervention Facilitation Guide

Facilitation guide for teachers delivering the triangle area intervention. Includes instructional scripts, common student pitfalls, and a progress monitoring framework.

Lenny Avatar
Lenny
2/12