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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

Ratios

SequencesLessonsMaterialsVideos
  1. Math

Ratios

SequencesLessonsMaterialsVideos
SequencesLessonsMaterialsVideos

Comparisons of quantities using unit rates and proportional reasoning. Connects tables, graphs, and equations to represent constant rates of change.

Ratios and ProportionsProportional relationships, unit rates, and constant of proportionality. Develops strategies for solving multi-step problems involving scale, percentages, and equivalent ratios.
Proportional RelationshipsAnalysis of equivalent ratios and the constant of proportionality across tables, graphs, and equations. Connects unit rates to linear relationships and real-world scaling applications.
Material
Pressure Point Exit Ticket

Pressure Point Exit Ticket

A formal exit ticket for inverse variation. Revised for single-page layout, better math rendering, and balanced work areas.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Inverse Investigators Slides

Inverse Investigators Slides

A sleek, high-contrast slide deck for inverse variation. Revised to fix math rendering, adjust viewport overflow, and correct the hyperbola graphic.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Variation Lab Handout

Variation Lab Handout

A student-facing handout containing the Warm Up, Guided Instruction, and Independent Practice for inverse variation. Revised for better page breaks, increased contrast, and added pedagogical scaffolding. Fixed math rendering and work areas.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Mission Brief Teacher Guide

Mission Brief Teacher Guide

A comprehensive teacher implementation guide for the Inverse Investigators lesson, including pacing, standards alignment, answer keys, and pedagogical tips. Revised for better page breaks and math rendering.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Similarity Blueprint Reference Sheet

Similarity Blueprint Reference Sheet

A student-friendly reference sheet for similarity concepts. Includes formulas for scale factor, similarity criteria (AAA, SSS, SAS), and a visual guide for shadow trigonometry.

DE

Donia ElSayed

Math Teacher
4/28
Material
Project Master Rubric Teacher Guide

Project Master Rubric Teacher Guide

A comprehensive teacher's rubric for the Similarity Superstars project. Covers poster, art, and presentation components with specific grading criteria for data, logic, and polish.

DE

Donia ElSayed

Math Teacher
4/28
Material
Similarity Showdown Presentation Guide

Similarity Showdown Presentation Guide

A digital slide presentation template and guide for students. Covers similarity criteria (AAA, SAS, SSS), presentation requirements, and slide layout templates.

DE

Donia ElSayed

Math Teacher
4/28
Material
Artful Proportions Art Guide

Artful Proportions Art Guide

A guide for students to create similarity-based art and tessellations. Includes sections for base shape design, scale factor definitions, and artistic requirements.

DE

Donia ElSayed

Math Teacher
4/28
Material
Shadow Sleuths Poster Guide

Shadow Sleuths Poster Guide

A project guide for students to conduct indirect measurement using shadows. Includes data collection tables, a ratio setup guide, and poster requirements.

DE

Donia ElSayed

Math Teacher
4/28
Material
Project Appraisal Rubric

Project Appraisal Rubric

Comprehensive scoring rubric for the Shadow Stalkers project, assessing field measurements, mathematical proportions, geometric proofs, diagram accuracy, and conceptual understanding.

DE

Donia ElSayed

Math Teacher
4/28
Material
Similarity Logic Worksheet

Similarity Logic Worksheet

Worksheet focusing on the geometric logic of similarity. Includes problems identifying similarity using AA, SAS, and SSS, verifying proportional sides for SSS, and a formal proof for nested triangles with parallel lines.

DE

Donia ElSayed

Math Teacher
4/28
Material
Sun Sighting Pack

Sun Sighting Pack

Student project packet for the Shadow Stalkers project. Includes a field log for measurements, calculation workspace for proportions and scale factors, and a formal two-column proof section to justify the use of AA similarity.

DE

Donia ElSayed

Math Teacher
4/28
Material
Shadow Stalkers Slides

Shadow Stalkers Slides

Introduction slides for the Shadow Stalkers project, covering the concept of indirect measurement, AA similarity postulate with the sun's rays, and the project requirements.

DE

Donia ElSayed

Math Teacher
4/28
Material
Math Mockup Worksheet

Math Mockup Worksheet

A mathematical planning worksheet for students to draft their triangle similarity calculations and real-world scenarios before final poster production.

DE

Donia ElSayed

Math Teacher
4/28
Material
Grading Grid Teacher Guide

Grading Grid Teacher Guide

A professional grading rubric for teachers to evaluate the Similar Triangles Infographic project, including feedback sections.

DE

Donia ElSayed

Math Teacher
4/28
Material
Math Mockup Worksheet

Math Mockup Worksheet

A mathematical planning worksheet for students to draft their triangle similarity calculations and real-world scenarios before final poster production.

DE

Donia ElSayed

Math Teacher
4/28
Material
Poster Blueprint Guide

Poster Blueprint Guide

Student instructions and requirements for the Similar Triangles Infographic project, styled as an architectural mission.

DE

Donia ElSayed

Math Teacher
4/28
Material
Scale Up Slides

Scale Up Slides

A comprehensive slide deck for launching the Similar Triangles Infographic project, covering similarity criteria (AA, SSS, SAS) and real-world shadow applications.

DE

Donia ElSayed

Math Teacher
4/28
Material
Linear Life Answer Key Project Solutions

Linear Life Answer Key Project Solutions

Revised answer key for the Linear Life project. Fixed mathematical notation, improved visual contrast, and ensured each task's solutions are contained on a single page for teacher ease of use.

EE

Ezz Eldeen Ahmed

Math Teacher
4/28
Material
Linear Logic Rubric Project Evaluation

Linear Logic Rubric Project Evaluation

Revised grading rubric for the Linear Life project. Added Level 1 criteria, fixed math notation, and optimized layout to ensure the feedback section and grading block stay on one page.

EE

Ezz Eldeen Ahmed

Math Teacher
4/28
Material
Pressure Point Exit Ticket

Pressure Point Exit Ticket

A formal exit ticket for inverse variation. Revised for single-page layout, better math rendering, and balanced work areas.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Inverse Investigators Slides

Inverse Investigators Slides

A sleek, high-contrast slide deck for inverse variation. Revised to fix math rendering, adjust viewport overflow, and correct the hyperbola graphic.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Variation Lab Handout

Variation Lab Handout

A student-facing handout containing the Warm Up, Guided Instruction, and Independent Practice for inverse variation. Revised for better page breaks, increased contrast, and added pedagogical scaffolding. Fixed math rendering and work areas.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Mission Brief Teacher Guide

Mission Brief Teacher Guide

A comprehensive teacher implementation guide for the Inverse Investigators lesson, including pacing, standards alignment, answer keys, and pedagogical tips. Revised for better page breaks and math rendering.

AH

Ashley Hobbs

Math Teacher
4/28
Material
Similarity Blueprint Reference Sheet

Similarity Blueprint Reference Sheet

A student-friendly reference sheet for similarity concepts. Includes formulas for scale factor, similarity criteria (AAA, SSS, SAS), and a visual guide for shadow trigonometry.

DE

Donia ElSayed

Math Teacher
4/28
Material
Project Master Rubric Teacher Guide

Project Master Rubric Teacher Guide

A comprehensive teacher's rubric for the Similarity Superstars project. Covers poster, art, and presentation components with specific grading criteria for data, logic, and polish.

DE

Donia ElSayed

Math Teacher
4/28
Material
Similarity Showdown Presentation Guide

Similarity Showdown Presentation Guide

A digital slide presentation template and guide for students. Covers similarity criteria (AAA, SAS, SSS), presentation requirements, and slide layout templates.

DE

Donia ElSayed

Math Teacher
4/28
Material
Artful Proportions Art Guide

Artful Proportions Art Guide

A guide for students to create similarity-based art and tessellations. Includes sections for base shape design, scale factor definitions, and artistic requirements.

DE

Donia ElSayed

Math Teacher
4/28
Material
Shadow Sleuths Poster Guide

Shadow Sleuths Poster Guide

A project guide for students to conduct indirect measurement using shadows. Includes data collection tables, a ratio setup guide, and poster requirements.

DE

Donia ElSayed

Math Teacher
4/28
Material
Project Appraisal Rubric

Project Appraisal Rubric

Comprehensive scoring rubric for the Shadow Stalkers project, assessing field measurements, mathematical proportions, geometric proofs, diagram accuracy, and conceptual understanding.

DE

Donia ElSayed

Math Teacher
4/28
Material
Similarity Logic Worksheet

Similarity Logic Worksheet

Worksheet focusing on the geometric logic of similarity. Includes problems identifying similarity using AA, SAS, and SSS, verifying proportional sides for SSS, and a formal proof for nested triangles with parallel lines.

DE

Donia ElSayed

Math Teacher
4/28
Material
Sun Sighting Pack

Sun Sighting Pack

Student project packet for the Shadow Stalkers project. Includes a field log for measurements, calculation workspace for proportions and scale factors, and a formal two-column proof section to justify the use of AA similarity.

DE

Donia ElSayed

Math Teacher
4/28
Material
Shadow Stalkers Slides

Shadow Stalkers Slides

Introduction slides for the Shadow Stalkers project, covering the concept of indirect measurement, AA similarity postulate with the sun's rays, and the project requirements.

DE

Donia ElSayed

Math Teacher
4/28
Material
Math Mockup Worksheet

Math Mockup Worksheet

A mathematical planning worksheet for students to draft their triangle similarity calculations and real-world scenarios before final poster production.

DE

Donia ElSayed

Math Teacher
4/28
Material
Grading Grid Teacher Guide

Grading Grid Teacher Guide

A professional grading rubric for teachers to evaluate the Similar Triangles Infographic project, including feedback sections.

DE

Donia ElSayed

Math Teacher
4/28
Material
Math Mockup Worksheet

Math Mockup Worksheet

A mathematical planning worksheet for students to draft their triangle similarity calculations and real-world scenarios before final poster production.

DE

Donia ElSayed

Math Teacher
4/28
Material
Poster Blueprint Guide

Poster Blueprint Guide

Student instructions and requirements for the Similar Triangles Infographic project, styled as an architectural mission.

DE

Donia ElSayed

Math Teacher
4/28
Material
Scale Up Slides

Scale Up Slides

A comprehensive slide deck for launching the Similar Triangles Infographic project, covering similarity criteria (AA, SSS, SAS) and real-world shadow applications.

DE

Donia ElSayed

Math Teacher
4/28
Material
Scale Master Key

Scale Master Key

Answer key for the 'Scale Master Worksheet'. Revised with 'break-inside-avoid' for all problems, improved text contrast for labels, and clear step-by-step solution paths.

DE

Donia ElSayed

Math Teacher
4/28
Material
Shrink Guide Teacher Resource

Shrink Guide Teacher Resource

Teacher resource for 'The Great Shrink'. Revised with balanced content, larger font sizes for tips, and robust math notation rendering.

DE

Donia ElSayed

Math Teacher
4/28