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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.

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 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.
Lesson
Doctors Notes Teacher Guide
Math Medics Slides
Case Files Packet
Triage Station Worksheet

Math Medics Review

A high-energy, medical-themed 50-minute review of proportional relationships, equations, and geometry for middle school students, featuring error analysis and state-test style practice.

Lenny Avatar
Lenny
3/4
Lesson
Proportion Power Slides
Ratio Lab Investigation
Scaling Secrets Teacher Guide

Proportion Power

A middle school math lesson exploring proportional reasoning through real-world scaling, mapping, and budgeting scenarios. Students use visual models and multiple pathways to solve authentic problems.

Lenny Avatar
Lenny
3/4
Lesson
Ratio Rebels Teacher Guide
Ratio Rebels Slides
Ratio Rebels Lab Activity
Ratio Rebels Solo Practice

Ratio Rebels

An inquiry-based exploration of proportional reasoning through recipe scaling, map navigation, and smart shopping for grades 6-8, aligned to Massachusetts curriculum frameworks.

Lenny Avatar
Lenny
3/4
Lesson
Cross Multiply Challenge Worksheet
Cross Multiply Challenge Answer Key

Cross Multiplication Mastery

Students practice solving rational equations by applying cross-multiplication to proportions. The lesson focuses on setting up the equation, distributing correctly, and isolating the variable.

MR

Mahuya Roy Chowdhury

Math Teacher
3/4
Lesson
Tournament Tactics Organizer
Hoops Logic Slides
Hoops Logic Teacher Guide

Hoops Logic

A March Madness-themed lesson that provides students with a strategic "Game Plan" for deconstructing and solving math word problems. Students use a basketball-themed graphic organizer to scout for data, draft a playbook, and execute their solution.

CS

Clara Simmons

Other
3/3
Lesson
Math Morning Sprint Worksheet
Math Morning Sprint Answer Key

Math Morning Sprint

A quick 5-question math morning work assignment for 7th grade students covering scale drawings, equations, percents, and proportionality.

SA

Samuelo Ayo

Math Teacher
3/3
Lesson
Mission Master Key Guide

Mission Master Key

A comprehensive answer key for teachers to quickly verify student work from all four mission days.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Final Extraction Report Worksheet

Final Extraction

The final day features a creative mission report and a detailed Mission Possible coloring page.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Equation Enigma Worksheet

Equation Enigma

Day three challenges agents with algebraic equations and geometry-based laser grid puzzles.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Ratio Reconnaissance Worksheet

Ratio Reconnaissance

Day two focuses on ratios, proportions, and word games to keep agents' minds sharp.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Operation Orientation Worksheet
Mission Packet Cover Page

Agent Orientation

The first day of the cooldown series focusing on logic puzzles and ELA context clues within a secret agent theme.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Winning Plate Anchor Chart
Diner Dash Slides
Championship Chew Worksheet

Rapid Ratios

A lesson focused on using ratio tables to solve real-world problems involving constant rates, specifically using a hot dog eating contest scenario to engage 6th-grade students.

KP

Karla Phillips

Elementary Teacher
3/2
Lesson
Speed Eater Anchor Chart
Competitive Crust Worksheet
Competitive Crust Answer Key

Speed Eater Ratios

A lesson focused on using ratio tables to solve real-world rate problems, specifically the Joey Chestnut hot dog eating record. Students will learn to set up tables, find unit rates, and scale values to find solutions.

KP

Karla Phillips

Elementary Teacher
3/2
Lesson
Shopping Spree Slides
Marketplace Math Worksheet
Quick Checkout Exit Ticket
Shopkeeper Secrets Teacher Guide

Percent Power Shopping

A practical, real-world math lesson where 7th graders master calculating sales tax, tips, and discounts through a 'Marketplace' theme. Students will learn to apply proportional relationships to everyday financial scenarios.

Lenny Avatar
Lenny
2/27
Lesson
Proportions Wild Slides
Proportions Wild Practice Worksheet
Park Planner Project Assessment
Proportions Wild Teacher Guide

Proportions in the Wild

A comprehensive 7th-grade math lesson exploring proportional relationships through real-world contexts like cooking, navigation, and shopping. Includes instructional slides, practice exercises, and a project-based assessment aligned to CA Common Core standards.

Lenny Avatar
Lenny
2/27
Lesson
Math Sprint Packet Spectrum
Math Sprint Answer Key

Grade 7 Math IA Prep Morning Work Packet

A comprehensive 5-page morning work packet designed to prepare 7th-grade students for the IA 3 assessment, focusing on Ratios and Proportional Relationships, Expressions and Equations, and The Number System.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 6 Worksheet

Mixed Practice Set 6

The final mixed-review set, providing a comprehensive final check across all interim standards to ensure assessment readiness.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 5 Worksheet

Mixed Practice Set 5

The fifth mixed-review set, challenging students with successive percent changes and complex multi-step rational number evaluation.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 4 Worksheet

Mixed Practice Set 4

The fourth mixed-review set, providing practice with percent increase/decrease, factoring expressions, and situational elevation problems.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 3 Worksheet

Mixed Practice Set 3

The third mixed-review set, focusing on solving equations with rational coefficients and interpreting points on a proportional graph.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Doctors Notes Teacher Guide
Math Medics Slides
Case Files Packet
Triage Station Worksheet

Math Medics Review

A high-energy, medical-themed 50-minute review of proportional relationships, equations, and geometry for middle school students, featuring error analysis and state-test style practice.

Lenny Avatar
Lenny
3/4
Lesson
Proportion Power Slides
Ratio Lab Investigation
Scaling Secrets Teacher Guide

Proportion Power

A middle school math lesson exploring proportional reasoning through real-world scaling, mapping, and budgeting scenarios. Students use visual models and multiple pathways to solve authentic problems.

Lenny Avatar
Lenny
3/4
Lesson
Ratio Rebels Teacher Guide
Ratio Rebels Slides
Ratio Rebels Lab Activity
Ratio Rebels Solo Practice

Ratio Rebels

An inquiry-based exploration of proportional reasoning through recipe scaling, map navigation, and smart shopping for grades 6-8, aligned to Massachusetts curriculum frameworks.

Lenny Avatar
Lenny
3/4
Lesson
Math Morning Sprint Worksheet
Math Morning Sprint Answer Key

Math Morning Sprint

A quick 5-question math morning work assignment for 7th grade students covering scale drawings, equations, percents, and proportionality.

SA

Samuelo Ayo

Math Teacher
3/3
Lesson
Winning Plate Anchor Chart
Diner Dash Slides
Championship Chew Worksheet

Rapid Ratios

A lesson focused on using ratio tables to solve real-world problems involving constant rates, specifically using a hot dog eating contest scenario to engage 6th-grade students.

KP

Karla Phillips

Elementary Teacher
3/2
Lesson
Speed Eater Anchor Chart
Competitive Crust Worksheet
Competitive Crust Answer Key

Speed Eater Ratios

A lesson focused on using ratio tables to solve real-world rate problems, specifically the Joey Chestnut hot dog eating record. Students will learn to set up tables, find unit rates, and scale values to find solutions.

KP

Karla Phillips

Elementary Teacher
3/2
Lesson
Shopping Spree Slides
Marketplace Math Worksheet
Quick Checkout Exit Ticket
Shopkeeper Secrets Teacher Guide

Percent Power Shopping

A practical, real-world math lesson where 7th graders master calculating sales tax, tips, and discounts through a 'Marketplace' theme. Students will learn to apply proportional relationships to everyday financial scenarios.

Lenny Avatar
Lenny
2/27
Lesson
Proportions Wild Slides
Proportions Wild Practice Worksheet
Park Planner Project Assessment
Proportions Wild Teacher Guide

Proportions in the Wild

A comprehensive 7th-grade math lesson exploring proportional relationships through real-world contexts like cooking, navigation, and shopping. Includes instructional slides, practice exercises, and a project-based assessment aligned to CA Common Core standards.

Lenny Avatar
Lenny
2/27
Lesson
Math Sprint Packet Spectrum
Math Sprint Answer Key

Grade 7 Math IA Prep Morning Work Packet

A comprehensive 5-page morning work packet designed to prepare 7th-grade students for the IA 3 assessment, focusing on Ratios and Proportional Relationships, Expressions and Equations, and The Number System.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 6 Worksheet

Mixed Practice Set 6

The final mixed-review set, providing a comprehensive final check across all interim standards to ensure assessment readiness.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 5 Worksheet

Mixed Practice Set 5

The fifth mixed-review set, challenging students with successive percent changes and complex multi-step rational number evaluation.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 4 Worksheet

Mixed Practice Set 4

The fourth mixed-review set, providing practice with percent increase/decrease, factoring expressions, and situational elevation problems.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 3 Worksheet

Mixed Practice Set 3

The third mixed-review set, focusing on solving equations with rational coefficients and interpreting points on a proportional graph.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 2 Worksheet

Mixed Practice Set 2

The second mixed-review set, reinforcing multi-step word problems, unit rates with complex fractions, and equivalent expression identification.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 1 Worksheet

Mixed Practice Set 1

The first of six mixed-review homework sets covering Rational Number operations, Expressions and Equations, and Proportional Relationships. Perfect for daily retrieval practice.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Math Power Up Worksheet
Math Interim Practice Booklet
Math Practice Answer Key
Math Drill Prep Guide

Grade 7 Math Interim Practice

A comprehensive practice test for NYS 7th Grade Math, focusing on Ratios, Proportional Relationships, Expressions, and Equations, modeled after the Interim Assessment format.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Price Point Worksheet
Price Point Answer Key

Price Point Mastery

A comprehensive lesson on unit rates, focusing on calculation, comparison for best value, and real-world application in consumer contexts.

SF

Steven Flint

Math Teacher
2/25
Lesson
Slope Shift Teacher Guide
Slope Shift Review Handout
Slope Shift Practice Sheet Final

Slope Shift

An introductory lesson focusing on the anatomy of Point-Slope Form, comparing it to Slope-Intercept Form, and mastering the 'sign switch' when identifying coordinates.

D

david.marques

Math Teacher
2/24
Lesson
Circle Scholars Worksheet

Circle Scholars

Focuses on the relationships within circles, specifically calculating area and circumference given radius or diameter.

K

kyle.hill

Special Education Teacher
2/24
Lesson
Percent Professionals Worksheet

Percent Professionals

Reviews multi-step percent problems including tax, tip, commission, discounts, and percent increase/decrease.

K

kyle.hill

Special Education Teacher
2/24
Lesson
Doctors Notes Teacher Guide
Math Medics Slides
Case Files Packet
Triage Station Worksheet

Math Medics Review

A high-energy, medical-themed 50-minute review of proportional relationships, equations, and geometry for middle school students, featuring error analysis and state-test style practice.

Lenny Avatar
Lenny
3/4
Lesson
Proportion Power Slides
Ratio Lab Investigation
Scaling Secrets Teacher Guide

Proportion Power

A middle school math lesson exploring proportional reasoning through real-world scaling, mapping, and budgeting scenarios. Students use visual models and multiple pathways to solve authentic problems.

Lenny Avatar
Lenny
3/4
Lesson
Ratio Rebels Teacher Guide
Ratio Rebels Slides
Ratio Rebels Lab Activity
Ratio Rebels Solo Practice

Ratio Rebels

An inquiry-based exploration of proportional reasoning through recipe scaling, map navigation, and smart shopping for grades 6-8, aligned to Massachusetts curriculum frameworks.

Lenny Avatar
Lenny
3/4
Lesson
Math Morning Sprint Worksheet
Math Morning Sprint Answer Key

Math Morning Sprint

A quick 5-question math morning work assignment for 7th grade students covering scale drawings, equations, percents, and proportionality.

SA

Samuelo Ayo

Math Teacher
3/3
Lesson
Mission Master Key Guide

Mission Master Key

A comprehensive answer key for teachers to quickly verify student work from all four mission days.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Final Extraction Report Worksheet

Final Extraction

The final day features a creative mission report and a detailed Mission Possible coloring page.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Equation Enigma Worksheet

Equation Enigma

Day three challenges agents with algebraic equations and geometry-based laser grid puzzles.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Ratio Reconnaissance Worksheet

Ratio Reconnaissance

Day two focuses on ratios, proportions, and word games to keep agents' minds sharp.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Operation Orientation Worksheet
Mission Packet Cover Page

Agent Orientation

The first day of the cooldown series focusing on logic puzzles and ELA context clues within a secret agent theme.

CW

Cheyenne Watkins

Math Teacher
3/2
Lesson
Winning Plate Anchor Chart
Diner Dash Slides
Championship Chew Worksheet

Rapid Ratios

A lesson focused on using ratio tables to solve real-world problems involving constant rates, specifically using a hot dog eating contest scenario to engage 6th-grade students.

KP

Karla Phillips

Elementary Teacher
3/2
Lesson
Speed Eater Anchor Chart
Competitive Crust Worksheet
Competitive Crust Answer Key

Speed Eater Ratios

A lesson focused on using ratio tables to solve real-world rate problems, specifically the Joey Chestnut hot dog eating record. Students will learn to set up tables, find unit rates, and scale values to find solutions.

KP

Karla Phillips

Elementary Teacher
3/2
Lesson
Proportions Wild Slides
Proportions Wild Practice Worksheet
Park Planner Project Assessment
Proportions Wild Teacher Guide

Proportions in the Wild

A comprehensive 7th-grade math lesson exploring proportional relationships through real-world contexts like cooking, navigation, and shopping. Includes instructional slides, practice exercises, and a project-based assessment aligned to CA Common Core standards.

Lenny Avatar
Lenny
2/27
Lesson
Math Sprint Packet Spectrum
Math Sprint Answer Key

Grade 7 Math IA Prep Morning Work Packet

A comprehensive 5-page morning work packet designed to prepare 7th-grade students for the IA 3 assessment, focusing on Ratios and Proportional Relationships, Expressions and Equations, and The Number System.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 6 Worksheet

Mixed Practice Set 6

The final mixed-review set, providing a comprehensive final check across all interim standards to ensure assessment readiness.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 5 Worksheet

Mixed Practice Set 5

The fifth mixed-review set, challenging students with successive percent changes and complex multi-step rational number evaluation.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 4 Worksheet

Mixed Practice Set 4

The fourth mixed-review set, providing practice with percent increase/decrease, factoring expressions, and situational elevation problems.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 3 Worksheet

Mixed Practice Set 3

The third mixed-review set, focusing on solving equations with rational coefficients and interpreting points on a proportional graph.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 2 Worksheet

Mixed Practice Set 2

The second mixed-review set, reinforcing multi-step word problems, unit rates with complex fractions, and equivalent expression identification.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Mixed Practice 1 Worksheet

Mixed Practice Set 1

The first of six mixed-review homework sets covering Rational Number operations, Expressions and Equations, and Proportional Relationships. Perfect for daily retrieval practice.

CW

Cheyenne Watkins

Math Teacher
2/26
Lesson
Math Power Up Worksheet
Math Interim Practice Booklet
Math Practice Answer Key
Math Drill Prep Guide

Grade 7 Math Interim Practice

A comprehensive practice test for NYS 7th Grade Math, focusing on Ratios, Proportional Relationships, Expressions, and Equations, modeled after the Interim Assessment format.

CW

Cheyenne Watkins

Math Teacher
2/26