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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
Shadow Sleuths Poster Guide
Artful Proportions Art Guide
Similarity Showdown Presentation Guide
Project Master Rubric Teacher Guide
Similarity Blueprint Reference Sheet

Artful Geometry

Students explore geometric similarity through art and tessellations, applying ratios and proportional parts to create scaled masterpieces.

DE

Donia ElSayed

Math Teacher
4/28
Lesson
Relationship Review Worksheet
Relationship Review Answer Key
Relationship Review Practice Set
Relationship Review Practice Answer Key

Relationship Review

In-depth look at interpreting points on a proportional graph, specifically the unit rate (1, r) and the origin (0, 0).

AG

Anna Gomez

Other
4/28
Lesson
Proportional Plots Worksheet
Proportional Plots Answer Key
Proportional Site Practice Answer Key
Proportional Site Practice Set

Proportional Plots

Students identify the constant of proportionality from tables and translate proportional relationships onto coordinate planes.

AG

Anna Gomez

Other
4/28
Lesson
Equation Assembly Worksheet
Equation Assembly Answer Key
Equation Assembly Practice Set
Equation Assembly Practice Answer Key

Equation Assembly

Covers solving one-step and two-step equations using inverse operations and verifying solutions through substitution.

AG

Anna Gomez

Other
4/28
Lesson
Expression Engineering Worksheet
Expression Engineering Answer Key
Expression Site Practice Answer Key
Expression Site Practice Set

Expression Engineering

Focuses on identifying terms, combining like terms, and applying the distributive property to simplify algebraic expressions.

AG

Anna Gomez

Other
4/28
Lesson
Championship Milestone Assessment Student Copy
Championship Milestone Assessment Answer Key

Championship Milestone Assessment

A cumulative milestone assessment designed for students at Grade 6 proficiency (RIT 221-230). This assessment checks foundational understanding of ratios, expressions, and geometry needed for 8th-grade success.

AG

Anna Gomez

Other
4/28
Lesson
Data Dash Warm-Ups
Data Dash Practice Set
Data Dash Warm-Ups Answer Key
Data Dash Practice Set Answer Key

Data Dash

Week 7 analyzes bivariate data through scatter plots, interpreting lines of best fit, and using linear models to make predictions.

AG

Anna Gomez

Other
4/28
Lesson
Shape Shifters Warm-Ups
Shape Shifters Practice Set
Shape Shifters Warm-Ups Answer Key
Shape Shifters Practice Set Answer Key

Shape Shifters

Week 6 focuses on rigid transformations (translations, reflections, rotations) and similarity transformations (dilations).

AG

Anna Gomez

Other
4/28
Lesson
Geometry Gaps Warm-Ups
Geometry Gaps Practice Set
Geometry Gaps Warm-Ups Answer Key
Geometry Gaps Practice Set Answer Key

Geometry Gaps

Week 5 reviews the Pythagorean Theorem and volume formulas for cylinders, cones, and spheres.

AG

Anna Gomez

Other
4/28
Lesson
Power Play Warm-Ups
Power Play Practice Set
Power Play Warm-Ups Answer Key
Power Play Practice Set Answer Key

Power Play

Week 4 explores integer exponent rules, perfect squares and cubes, and distinguishing between rational and irrational numbers.

AG

Anna Gomez

Other
4/28
Lesson
Function Fuel Warm-Ups
Function Fuel Practice Set
Function Fuel Warm-Ups Answer Key
Function Fuel Practice Set Answer Key

Function Fuel

Week 3 defines, evaluates, and compares functions represented in different ways (tables, graphs, equations).

AG

Anna Gomez

Other
4/28
Lesson
Linear Landscapes Warm-Ups
Linear Landscapes Practice Set
Linear Landscapes Warm-Ups Answer Key
Linear Landscapes Practice Set Answer Key

Linear Landscapes

Week 2 covers proportional relationships, unit rates, and the slope-intercept form of linear equations.

AG

Anna Gomez

Other
4/28
Lesson
Equation Endurance Warm-Ups
Equation Endurance Practice Set
Equation Endurance Warm-Ups Answer Key
Equation Endurance Practice Set Answer Key

Equation Endurance

Week 1 focuses on solving multi-step equations, including those with variables on both sides, rational coefficients, and checking solutions.

AG

Anna Gomez

Other
4/28
Lesson
Final Push Daily Drills Worksheet
Final Push Power Practice Worksheet
Final Push Answer Key

The Final Stretch

Reviewing scale drawings, statistics, and probability to round out the comprehensive NYS Assessment preparation.

AG

Anna Gomez

Other
4/28
Lesson
Inequalities Daily Drills Worksheet
Inequalities Power Practice Worksheet
Inequalities Answer Key

Inequality Investigators

Solving and graphing linear inequalities and applying them to real-world NYS assessment scenarios.

AG

Anna Gomez

Other
4/28
Lesson
Expressions Daily Drills Worksheet
Expressions Power Practice Worksheet
Expressions Answer Key

Expression Experts

Simplifying linear expressions and solving multi-step equations using properties of operations.

AG

Anna Gomez

Other
4/28
Lesson
Percents Two Daily Drills Worksheet
Percents Two Power Practice Worksheet
Percents Two Answer Key

Percent Progress

Advanced percent problems including simple interest, percent change (increase/decrease), and percent error.

AG

Anna Gomez

Other
4/28
Lesson
Percents One Daily Drills Worksheet
Percents One Power Practice Worksheet
Percents One Answer Key

Percent Power

Practical applications of percents, including calculating tax, tip, commissions, discounts, and markups.

AG

Anna Gomez

Other
4/28
Lesson
Graphs Daily Drills Worksheet
Graphs Power Practice Worksheet
Graphs Answer Key

Graphing the Empire

Analyzing graphs of proportional relationships, finding the constant of proportionality, and writing equations in the form y = kx.

AG

Anna Gomez

Other
4/28
Lesson
Proportions Daily Drills Worksheet
Proportions Power Practice Worksheet
Proportions Answer Key

Proportional Proportions

Review of ratios, unit rates with fractions, and identifying proportional relationships in tables and context.

AG

Anna Gomez

Other
4/28
Lesson
Shadow Sleuths Poster Guide
Artful Proportions Art Guide
Similarity Showdown Presentation Guide
Project Master Rubric Teacher Guide
Similarity Blueprint Reference Sheet

Artful Geometry

Students explore geometric similarity through art and tessellations, applying ratios and proportional parts to create scaled masterpieces.

DE

Donia ElSayed

Math Teacher
4/28
Lesson
Relationship Review Worksheet
Relationship Review Answer Key
Relationship Review Practice Set
Relationship Review Practice Answer Key

Relationship Review

In-depth look at interpreting points on a proportional graph, specifically the unit rate (1, r) and the origin (0, 0).

AG

Anna Gomez

Other
4/28
Lesson
Proportional Plots Worksheet
Proportional Plots Answer Key
Proportional Site Practice Answer Key
Proportional Site Practice Set

Proportional Plots

Students identify the constant of proportionality from tables and translate proportional relationships onto coordinate planes.

AG

Anna Gomez

Other
4/28
Lesson
Equation Assembly Worksheet
Equation Assembly Answer Key
Equation Assembly Practice Set
Equation Assembly Practice Answer Key

Equation Assembly

Covers solving one-step and two-step equations using inverse operations and verifying solutions through substitution.

AG

Anna Gomez

Other
4/28
Lesson
Expression Engineering Worksheet
Expression Engineering Answer Key
Expression Site Practice Answer Key
Expression Site Practice Set

Expression Engineering

Focuses on identifying terms, combining like terms, and applying the distributive property to simplify algebraic expressions.

AG

Anna Gomez

Other
4/28
Lesson
Championship Milestone Assessment Student Copy
Championship Milestone Assessment Answer Key

Championship Milestone Assessment

A cumulative milestone assessment designed for students at Grade 6 proficiency (RIT 221-230). This assessment checks foundational understanding of ratios, expressions, and geometry needed for 8th-grade success.

AG

Anna Gomez

Other
4/28
Lesson
Data Dash Warm-Ups
Data Dash Practice Set
Data Dash Warm-Ups Answer Key
Data Dash Practice Set Answer Key

Data Dash

Week 7 analyzes bivariate data through scatter plots, interpreting lines of best fit, and using linear models to make predictions.

AG

Anna Gomez

Other
4/28
Lesson
Shape Shifters Warm-Ups
Shape Shifters Practice Set
Shape Shifters Warm-Ups Answer Key
Shape Shifters Practice Set Answer Key

Shape Shifters

Week 6 focuses on rigid transformations (translations, reflections, rotations) and similarity transformations (dilations).

AG

Anna Gomez

Other
4/28
Lesson
Geometry Gaps Warm-Ups
Geometry Gaps Practice Set
Geometry Gaps Warm-Ups Answer Key
Geometry Gaps Practice Set Answer Key

Geometry Gaps

Week 5 reviews the Pythagorean Theorem and volume formulas for cylinders, cones, and spheres.

AG

Anna Gomez

Other
4/28
Lesson
Power Play Warm-Ups
Power Play Practice Set
Power Play Warm-Ups Answer Key
Power Play Practice Set Answer Key

Power Play

Week 4 explores integer exponent rules, perfect squares and cubes, and distinguishing between rational and irrational numbers.

AG

Anna Gomez

Other
4/28
Lesson
Function Fuel Warm-Ups
Function Fuel Practice Set
Function Fuel Warm-Ups Answer Key
Function Fuel Practice Set Answer Key

Function Fuel

Week 3 defines, evaluates, and compares functions represented in different ways (tables, graphs, equations).

AG

Anna Gomez

Other
4/28
Lesson
Linear Landscapes Warm-Ups
Linear Landscapes Practice Set
Linear Landscapes Warm-Ups Answer Key
Linear Landscapes Practice Set Answer Key

Linear Landscapes

Week 2 covers proportional relationships, unit rates, and the slope-intercept form of linear equations.

AG

Anna Gomez

Other
4/28
Lesson
Equation Endurance Warm-Ups
Equation Endurance Practice Set
Equation Endurance Warm-Ups Answer Key
Equation Endurance Practice Set Answer Key

Equation Endurance

Week 1 focuses on solving multi-step equations, including those with variables on both sides, rational coefficients, and checking solutions.

AG

Anna Gomez

Other
4/28
Lesson
Final Push Daily Drills Worksheet
Final Push Power Practice Worksheet
Final Push Answer Key

The Final Stretch

Reviewing scale drawings, statistics, and probability to round out the comprehensive NYS Assessment preparation.

AG

Anna Gomez

Other
4/28
Lesson
Inequalities Daily Drills Worksheet
Inequalities Power Practice Worksheet
Inequalities Answer Key

Inequality Investigators

Solving and graphing linear inequalities and applying them to real-world NYS assessment scenarios.

AG

Anna Gomez

Other
4/28
Lesson
Expressions Daily Drills Worksheet
Expressions Power Practice Worksheet
Expressions Answer Key

Expression Experts

Simplifying linear expressions and solving multi-step equations using properties of operations.

AG

Anna Gomez

Other
4/28
Lesson
Percents Two Daily Drills Worksheet
Percents Two Power Practice Worksheet
Percents Two Answer Key

Percent Progress

Advanced percent problems including simple interest, percent change (increase/decrease), and percent error.

AG

Anna Gomez

Other
4/28
Lesson
Percents One Daily Drills Worksheet
Percents One Power Practice Worksheet
Percents One Answer Key

Percent Power

Practical applications of percents, including calculating tax, tip, commissions, discounts, and markups.

AG

Anna Gomez

Other
4/28
Lesson
Graphs Daily Drills Worksheet
Graphs Power Practice Worksheet
Graphs Answer Key

Graphing the Empire

Analyzing graphs of proportional relationships, finding the constant of proportionality, and writing equations in the form y = kx.

AG

Anna Gomez

Other
4/28
Lesson
Proportions Daily Drills Worksheet
Proportions Power Practice Worksheet
Proportions Answer Key

Proportional Proportions

Review of ratios, unit rates with fractions, and identifying proportional relationships in tables and context.

AG

Anna Gomez

Other
4/28
Lesson
Relationship Review Worksheet
Relationship Review Answer Key
Relationship Review Practice Set
Relationship Review Practice Answer Key

Relationship Review

In-depth look at interpreting points on a proportional graph, specifically the unit rate (1, r) and the origin (0, 0).

AG

Anna Gomez

Other
4/28
Lesson
Proportional Plots Worksheet
Proportional Plots Answer Key
Proportional Site Practice Answer Key
Proportional Site Practice Set

Proportional Plots

Students identify the constant of proportionality from tables and translate proportional relationships onto coordinate planes.

AG

Anna Gomez

Other
4/28
Lesson
Equation Assembly Worksheet
Equation Assembly Answer Key
Equation Assembly Practice Set
Equation Assembly Practice Answer Key

Equation Assembly

Covers solving one-step and two-step equations using inverse operations and verifying solutions through substitution.

AG

Anna Gomez

Other
4/28
Lesson
Expression Engineering Worksheet
Expression Engineering Answer Key
Expression Site Practice Answer Key
Expression Site Practice Set

Expression Engineering

Focuses on identifying terms, combining like terms, and applying the distributive property to simplify algebraic expressions.

AG

Anna Gomez

Other
4/28
Lesson
Championship Milestone Assessment Student Copy
Championship Milestone Assessment Answer Key

Championship Milestone Assessment

A cumulative milestone assessment designed for students at Grade 6 proficiency (RIT 221-230). This assessment checks foundational understanding of ratios, expressions, and geometry needed for 8th-grade success.

AG

Anna Gomez

Other
4/28
Lesson
Data Dash Warm-Ups
Data Dash Practice Set
Data Dash Warm-Ups Answer Key
Data Dash Practice Set Answer Key

Data Dash

Week 7 analyzes bivariate data through scatter plots, interpreting lines of best fit, and using linear models to make predictions.

AG

Anna Gomez

Other
4/28
Lesson
Shape Shifters Warm-Ups
Shape Shifters Practice Set
Shape Shifters Warm-Ups Answer Key
Shape Shifters Practice Set Answer Key

Shape Shifters

Week 6 focuses on rigid transformations (translations, reflections, rotations) and similarity transformations (dilations).

AG

Anna Gomez

Other
4/28
Lesson
Geometry Gaps Warm-Ups
Geometry Gaps Practice Set
Geometry Gaps Warm-Ups Answer Key
Geometry Gaps Practice Set Answer Key

Geometry Gaps

Week 5 reviews the Pythagorean Theorem and volume formulas for cylinders, cones, and spheres.

AG

Anna Gomez

Other
4/28
Lesson
Power Play Warm-Ups
Power Play Practice Set
Power Play Warm-Ups Answer Key
Power Play Practice Set Answer Key

Power Play

Week 4 explores integer exponent rules, perfect squares and cubes, and distinguishing between rational and irrational numbers.

AG

Anna Gomez

Other
4/28
Lesson
Function Fuel Warm-Ups
Function Fuel Practice Set
Function Fuel Warm-Ups Answer Key
Function Fuel Practice Set Answer Key

Function Fuel

Week 3 defines, evaluates, and compares functions represented in different ways (tables, graphs, equations).

AG

Anna Gomez

Other
4/28
Lesson
Linear Landscapes Warm-Ups
Linear Landscapes Practice Set
Linear Landscapes Warm-Ups Answer Key
Linear Landscapes Practice Set Answer Key

Linear Landscapes

Week 2 covers proportional relationships, unit rates, and the slope-intercept form of linear equations.

AG

Anna Gomez

Other
4/28
Lesson
Equation Endurance Warm-Ups
Equation Endurance Practice Set
Equation Endurance Warm-Ups Answer Key
Equation Endurance Practice Set Answer Key

Equation Endurance

Week 1 focuses on solving multi-step equations, including those with variables on both sides, rational coefficients, and checking solutions.

AG

Anna Gomez

Other
4/28
Lesson
Final Push Daily Drills Worksheet
Final Push Power Practice Worksheet
Final Push Answer Key

The Final Stretch

Reviewing scale drawings, statistics, and probability to round out the comprehensive NYS Assessment preparation.

AG

Anna Gomez

Other
4/28
Lesson
Inequalities Daily Drills Worksheet
Inequalities Power Practice Worksheet
Inequalities Answer Key

Inequality Investigators

Solving and graphing linear inequalities and applying them to real-world NYS assessment scenarios.

AG

Anna Gomez

Other
4/28
Lesson
Expressions Daily Drills Worksheet
Expressions Power Practice Worksheet
Expressions Answer Key

Expression Experts

Simplifying linear expressions and solving multi-step equations using properties of operations.

AG

Anna Gomez

Other
4/28
Lesson
Percents Two Daily Drills Worksheet
Percents Two Power Practice Worksheet
Percents Two Answer Key

Percent Progress

Advanced percent problems including simple interest, percent change (increase/decrease), and percent error.

AG

Anna Gomez

Other
4/28
Lesson
Percents One Daily Drills Worksheet
Percents One Power Practice Worksheet
Percents One Answer Key

Percent Power

Practical applications of percents, including calculating tax, tip, commissions, discounts, and markups.

AG

Anna Gomez

Other
4/28
Lesson
Graphs Daily Drills Worksheet
Graphs Power Practice Worksheet
Graphs Answer Key

Graphing the Empire

Analyzing graphs of proportional relationships, finding the constant of proportionality, and writing equations in the form y = kx.

AG

Anna Gomez

Other
4/28
Lesson
Proportions Daily Drills Worksheet
Proportions Power Practice Worksheet
Proportions Answer Key

Proportional Proportions

Review of ratios, unit rates with fractions, and identifying proportional relationships in tables and context.

AG

Anna Gomez

Other
4/28
Lesson
Olympic Incline Slides
Podium Pace Project
Gold Medal Guide Teacher Guide

Olympic Incline

A math project where students analyze Olympic athlete performance and track difficulty using unit rates and slope concepts to determine who is the fastest and which courses are the steepest.

EE

Ezz Eldeen Ahmed

Math Teacher
4/28