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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.
Unit RateCalculation and comparison of rates where the second quantity is one unit. Applies division strategies to solve real-world problems involving constant speed, unit pricing, and measurement conversions.
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
Lesson
Ratio Lab Finale Teacher Guide
Ratio Lab Finale Assessment Worksheet

Ratio Lab Finale

A cumulative review and assessment of ratio and rate concepts through a 'Lab Challenge'.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Reasoning Teacher Guide
Ratio Reasoning Lab Card Worksheet

Ratio Reasoning Lab

Students solve complex, multi-step ratio problems using a variety of visual models.

D

dfredericks

Math Teacher
2/6
Lesson
Percent Problems Teacher Guide
Percent Proportion Blueprint Worksheet

Solving Percent Problems

Students find the whole given a part and the percent, or find the part given the whole and percent.

D

dfredericks

Math Teacher
2/6
Lesson
Percent Intro Teacher Guide
Century Squares Worksheet

Percent as Ratio

Students define percent as a rate per 100 and represent percents using 10x10 grids.

D

dfredericks

Math Teacher
2/6
Lesson
Speed and Distance Teacher Guide
Speed and Distance Log Worksheet

Speed and Distance

Students solve problems involving constant speed using unit rates and ratio reasoning.

D

dfredericks

Math Teacher
2/6
Lesson
Better Buy Teacher Guide
Better Buy Investigation Worksheet

Shopping with Rates

Students apply unit rate reasoning to find the 'better buy' in shopping scenarios.

D

dfredericks

Math Teacher
2/6
Lesson
Unit Rate Teacher Guide
Unit Rate Lab Report Worksheet

Unit Rate Intro

Students transition from ratios to unit rates, understanding the concept of 'per 1'.

D

dfredericks

Math Teacher
2/6
Lesson
Double Number Lines Teacher Guide
Double Number Line Map Worksheet

Double Number Lines

Students use double number lines to solve ratio problems involving distance, time, and scaling.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Tables Teacher Guide
Ratio Table Blueprint Worksheet

Ratio Table Tools

Students organize equivalent ratios into tables to identify patterns and solve problems.

D

dfredericks

Math Teacher
2/6
Lesson
Equivalent Ratios Teacher Guide
Equivalent Ratios Lab Card

Equivalent Ratios

Students explore equivalent ratios using simple multiplication and division strategies.

D

dfredericks

Math Teacher
2/6
Lesson
Tape Diagram Teacher Guide
Tape Diagram Masterplan Worksheet

Tape Diagram Mastery

Students use tape diagrams to represent part-to-part and part-to-whole relationships visually.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Basics Teacher Guide
Ratio Basics Blueprint

Ratio Basics

Students learn to use ratio language to describe a relationship between two quantities. Focus on "for every" language and identifying parts and wholes.

D

dfredericks

Math Teacher
2/6
Lesson
Marketplace Budgeting Worksheet
Ratio Simplifier Organizer
Ratio Racer Task Cards
Math Minute Warm-ups Worksheet
Teacher Mastery Guide

Money and Math Mastery

A comprehensive math lesson focusing on practical life skills: budgeting for multiple items and mastering ratio identification and simplification. This lesson integrates real-world shopping scenarios with structured mathematical organizers.

EE

Erin Esswein

Special Education Teacher
2/6
Lesson
Ratio Lab Finale Teacher Guide
Ratio Lab Finale Assessment Worksheet

Ratio Lab Finale

A cumulative review and assessment of ratio and rate concepts through a 'Lab Challenge'.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Reasoning Teacher Guide
Ratio Reasoning Lab Card Worksheet

Ratio Reasoning Lab

Students solve complex, multi-step ratio problems using a variety of visual models.

D

dfredericks

Math Teacher
2/6
Lesson
Percent Problems Teacher Guide
Percent Proportion Blueprint Worksheet

Solving Percent Problems

Students find the whole given a part and the percent, or find the part given the whole and percent.

D

dfredericks

Math Teacher
2/6
Lesson
Percent Intro Teacher Guide
Century Squares Worksheet

Percent as Ratio

Students define percent as a rate per 100 and represent percents using 10x10 grids.

D

dfredericks

Math Teacher
2/6
Lesson
Speed and Distance Teacher Guide
Speed and Distance Log Worksheet

Speed and Distance

Students solve problems involving constant speed using unit rates and ratio reasoning.

D

dfredericks

Math Teacher
2/6
Lesson
Better Buy Teacher Guide
Better Buy Investigation Worksheet

Shopping with Rates

Students apply unit rate reasoning to find the 'better buy' in shopping scenarios.

D

dfredericks

Math Teacher
2/6
Lesson
Unit Rate Teacher Guide
Unit Rate Lab Report Worksheet

Unit Rate Intro

Students transition from ratios to unit rates, understanding the concept of 'per 1'.

D

dfredericks

Math Teacher
2/6
Lesson
Double Number Lines Teacher Guide
Double Number Line Map Worksheet

Double Number Lines

Students use double number lines to solve ratio problems involving distance, time, and scaling.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Tables Teacher Guide
Ratio Table Blueprint Worksheet

Ratio Table Tools

Students organize equivalent ratios into tables to identify patterns and solve problems.

D

dfredericks

Math Teacher
2/6
Lesson
Equivalent Ratios Teacher Guide
Equivalent Ratios Lab Card

Equivalent Ratios

Students explore equivalent ratios using simple multiplication and division strategies.

D

dfredericks

Math Teacher
2/6
Lesson
Tape Diagram Teacher Guide
Tape Diagram Masterplan Worksheet

Tape Diagram Mastery

Students use tape diagrams to represent part-to-part and part-to-whole relationships visually.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Basics Teacher Guide
Ratio Basics Blueprint

Ratio Basics

Students learn to use ratio language to describe a relationship between two quantities. Focus on "for every" language and identifying parts and wholes.

D

dfredericks

Math Teacher
2/6
Lesson
Navigators Final Frontier Slides
Navigators Final Frontier Mission Worksheet

Navigators Final Frontier

A culminating session where students apply flexible thinking to solve multi-step 'Navigator' challenges.

D

dfredericks

Math Teacher
2/5
Lesson
Ratio Navigator Basics Slides
Ratio Navigator Worksheet

Ratio Navigator Basics

Introduce the concept of ratios as a comparison of two quantities, built on fractional foundations.

D

dfredericks

Math Teacher
2/5
Lesson
Magnitude Marathon Slides
Magnitude Marathon Worksheet

Magnitude Marathon Challenge

Synthesize understanding by comparing fractions, decimals, and percents in real-world contexts.

D

dfredericks

Math Teacher
2/5
Lesson
Parts of Parts Scaling Slides
Scaling Lab Worksheet

Parts of Parts Scaling

Understand fraction multiplication as 'taking a part of a part' through visual area models.

D

dfredericks

Math Teacher
2/5
Lesson
The Decimal Fraction Bridge Slides
The Bridge Crossing Worksheet

The Decimal Fraction Bridge

Bridge the gap between fractions and decimals by exploring 'Power of 10' denominators (1/10, 1/100).

D

dfredericks

Math Teacher
2/5
Lesson
Fraction Fusion Slides
Fusion Lab Worksheet

Fraction Fusion Strategies

Use benchmark fractions and visual models to add and subtract fractions with unlike denominators.

D

dfredericks

Math Teacher
2/5
Lesson
Common Ground Slides
Common Ground Partitioning Worksheet

Common Ground Partitions

Learn to find common denominators by 'partitioning' visual models, moving from concrete to abstract.

D

dfredericks

Math Teacher
2/5
Lesson
Ratio Lab Finale Teacher Guide
Ratio Lab Finale Assessment Worksheet

Ratio Lab Finale

A cumulative review and assessment of ratio and rate concepts through a 'Lab Challenge'.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Reasoning Teacher Guide
Ratio Reasoning Lab Card Worksheet

Ratio Reasoning Lab

Students solve complex, multi-step ratio problems using a variety of visual models.

D

dfredericks

Math Teacher
2/6
Lesson
Percent Problems Teacher Guide
Percent Proportion Blueprint Worksheet

Solving Percent Problems

Students find the whole given a part and the percent, or find the part given the whole and percent.

D

dfredericks

Math Teacher
2/6
Lesson
Percent Intro Teacher Guide
Century Squares Worksheet

Percent as Ratio

Students define percent as a rate per 100 and represent percents using 10x10 grids.

D

dfredericks

Math Teacher
2/6
Lesson
Speed and Distance Teacher Guide
Speed and Distance Log Worksheet

Speed and Distance

Students solve problems involving constant speed using unit rates and ratio reasoning.

D

dfredericks

Math Teacher
2/6
Lesson
Better Buy Teacher Guide
Better Buy Investigation Worksheet

Shopping with Rates

Students apply unit rate reasoning to find the 'better buy' in shopping scenarios.

D

dfredericks

Math Teacher
2/6
Lesson
Unit Rate Teacher Guide
Unit Rate Lab Report Worksheet

Unit Rate Intro

Students transition from ratios to unit rates, understanding the concept of 'per 1'.

D

dfredericks

Math Teacher
2/6
Lesson
Double Number Lines Teacher Guide
Double Number Line Map Worksheet

Double Number Lines

Students use double number lines to solve ratio problems involving distance, time, and scaling.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Tables Teacher Guide
Ratio Table Blueprint Worksheet

Ratio Table Tools

Students organize equivalent ratios into tables to identify patterns and solve problems.

D

dfredericks

Math Teacher
2/6
Lesson
Equivalent Ratios Teacher Guide
Equivalent Ratios Lab Card

Equivalent Ratios

Students explore equivalent ratios using simple multiplication and division strategies.

D

dfredericks

Math Teacher
2/6
Lesson
Tape Diagram Teacher Guide
Tape Diagram Masterplan Worksheet

Tape Diagram Mastery

Students use tape diagrams to represent part-to-part and part-to-whole relationships visually.

D

dfredericks

Math Teacher
2/6
Lesson
Ratio Basics Teacher Guide
Ratio Basics Blueprint

Ratio Basics

Students learn to use ratio language to describe a relationship between two quantities. Focus on "for every" language and identifying parts and wholes.

D

dfredericks

Math Teacher
2/6
Lesson
Mission Proportion Bilan Evaluation

Le Grand Defi Final

Évaluation sommative finale pour valider les compétences sur la proportionnalité, les tableaux, les échelles et les pourcentages.

MM

Maëlys Metge

Math Teacher
2/4
Lesson
Magie des Pourcentages Slides
Grimoire Pourcentages Exercices

La Magie des Pourcentages

Comprendre les pourcentages comme un cas particulier de la proportionnalité et apprendre à calculer une valeur ou un taux.

MM

Maëlys Metge

Math Teacher
2/4
Lesson
Mondes Miniatures Slides
Cartographe en Mission Fiche Exercices

Mondes Miniatures

Comprendre et utiliser les échelles pour calculer des distances réelles ou sur un plan, en lien avec la proportionnalité.

MM

Maëlys Metge

Math Teacher
2/4
Lesson
Marche des Proportions Activite
Fondations Proportions Slides
Mission Proportion Lecon Synthese
Mission Proportion Guide Pedagogique

L'Equilibre du Marche

Introduction à la proportionnalité : reconnaître une situation de proportionnalité et utiliser des tableaux avec le coefficient de proportionnalité.

MM

Maëlys Metge

Math Teacher
2/4
Lesson
Rate Race Teacher Guide
Rate Race Scorecard
Rate Race Presentation

Rate Race Olympics

An active, competitive lesson where students perform physical tasks to collect data, then calculate and compare ratios and unit rates to determine the 'Rate Race' champions.

H

haley

Other
2/2
Lesson
Tycoon Graduation Challenge
Factory Finale Slides
Factory Finale Script

Tycoon Challenge

Students will apply their knowledge of comparisons and tables to solve multi-step real-world factory production problems.

JJ

Jessica James

Elementary Teacher
2/2
Lesson
Table Detective Practice
Rule Finder Slides
Rule Finder Script

Secret Rule Sleuths

Students will identify and describe relationships between number pairs in a table using multiplication and addition rules.

JJ

Jessica James

Elementary Teacher
2/2
Lesson
Comparison Machine Practice
Comparison Machine Slides
Comparison Machine Script

Comparison Machine

Students will learn to describe multiplication expressions as comparisons (e.g., 3 times as much as 5) using visual bar models and factory scenarios.

JJ

Jessica James

Elementary Teacher
2/2