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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
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
Math Blueprint Week 1 Booklet (NYS Aligned)
Math Blueprint Week 1 Key (NYS Aligned)
Math Blueprint Week 3 Booklet (NYS Aligned)
Math Blueprint Week 3 Key (NYS Aligned)
Math Blueprint Week 4 Booklet (NYS Aligned)
Math Blueprint Week 4 Key (NYS Aligned)
Math Blueprint Week 5 Booklet (NYS Aligned)
Math Blueprint Week 5 Key (NYS Aligned)
Math Blueprint Week 2 Booklet (NYS Aligned)
Math Blueprint Week 2 Key (NYS Aligned)
Math Blueprint Week 6 Booklet (NYS Aligned)
Math Blueprint Week 6 Key (NYS Aligned)
Math Blueprint Week 7 Booklet (NYS Aligned)
Math Blueprint Week 7 Key (NYS Aligned)

Week 3 Structural Support

Focusing on surface area (NY-6.G.4), GCF/LCM (NY-6.NS.4), and independent/dependent variables (NY-6.EE.9).

AG

Anna Gomez

Other
4/28
Lesson
Ratio Runner Warm Ups
Percent Pulse Exit Tickets

Ratio Runners

Introduction to ratios, unit rates, and proportions. Students will use multiplicative reasoning to solve rate problems and represent ratios in multiple forms.

Lenny Avatar
Lenny
4/28
Lesson
Exponent Expert Warm Ups

Power Plays

Mastery of prime factorization, numerical expressions with exponents, and the order of operations (PEMDAS/GEMS).

Lenny Avatar
Lenny
4/28
Lesson
Decimal Duel Warm Ups
Fraction Finish Exit Tickets

Decimal Fraction Duel

Intensive practice with multiplying and dividing decimals and fractions. Students will tackle real-world problems involving standard algorithms and reciprocal operations.

Lenny Avatar
Lenny
4/28
Lesson
Rational Realm Warm Ups
Integer Impact Exit Tickets
Number Navigator Slides

Rational Numbers Realm

Exploration of integers, absolute value, and the classification of rational numbers on number lines and Venn diagrams. Students will master the structure of the real number system.

Lenny Avatar
Lenny
4/28
Lesson
Numerical Power Checklist 211-220
Milestone Assessment Worksheet
Milestone Assessment Answer Key

Math Mastery 211-220

A specialized toolkit for navigating mathematical skills in the 211-220 RIT range, with a focus on foundational decimals, fractions, and place value relationships.

L

llocascio

Math Teacher
4/27
Lesson
Math Mastery Blueprint Checklist
Power Up Activities Worksheet
Instructional Impact Checklist
Numerical Power Checklist

Math Mastery 221-230

A comprehensive guide for parents and students to navigate the mathematical skills expected in the 221-230 NWEA MAP RIT range, featuring actionable checklists and home-based practice ideas.

L

llocascio

Math Teacher
4/27
Lesson
Arcade Arena Slides
Arcade Arena Worksheet
Arcade Arena Game Cards
Arcade Arena Answer Key

Arcade Arena Review

An all-in-one review lesson covering the five major 6th-grade math domains. Designed for IEP support with visual scaffolds and simplified 2-option choices.

CS

COURTNEY SCHERER

Special Education Teacher
4/24
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
Math Blueprint Week 1 Booklet (NYS Aligned)
Math Blueprint Week 1 Key (NYS Aligned)
Math Blueprint Week 3 Booklet (NYS Aligned)
Math Blueprint Week 3 Key (NYS Aligned)
Math Blueprint Week 4 Booklet (NYS Aligned)
Math Blueprint Week 4 Key (NYS Aligned)
Math Blueprint Week 5 Booklet (NYS Aligned)
Math Blueprint Week 5 Key (NYS Aligned)
Math Blueprint Week 2 Booklet (NYS Aligned)
Math Blueprint Week 2 Key (NYS Aligned)
Math Blueprint Week 6 Booklet (NYS Aligned)
Math Blueprint Week 6 Key (NYS Aligned)
Math Blueprint Week 7 Booklet (NYS Aligned)
Math Blueprint Week 7 Key (NYS Aligned)

Week 3 Structural Support

Focusing on surface area (NY-6.G.4), GCF/LCM (NY-6.NS.4), and independent/dependent variables (NY-6.EE.9).

AG

Anna Gomez

Other
4/28
Lesson
Ratio Runner Warm Ups
Percent Pulse Exit Tickets

Ratio Runners

Introduction to ratios, unit rates, and proportions. Students will use multiplicative reasoning to solve rate problems and represent ratios in multiple forms.

Lenny Avatar
Lenny
4/28
Lesson
Exponent Expert Warm Ups

Power Plays

Mastery of prime factorization, numerical expressions with exponents, and the order of operations (PEMDAS/GEMS).

Lenny Avatar
Lenny
4/28
Lesson
Decimal Duel Warm Ups
Fraction Finish Exit Tickets

Decimal Fraction Duel

Intensive practice with multiplying and dividing decimals and fractions. Students will tackle real-world problems involving standard algorithms and reciprocal operations.

Lenny Avatar
Lenny
4/28
Lesson
Rational Realm Warm Ups
Integer Impact Exit Tickets
Number Navigator Slides

Rational Numbers Realm

Exploration of integers, absolute value, and the classification of rational numbers on number lines and Venn diagrams. Students will master the structure of the real number system.

Lenny Avatar
Lenny
4/28
Lesson
Math Mastery Blueprint Checklist
Power Up Activities Worksheet
Instructional Impact Checklist
Numerical Power Checklist

Math Mastery 221-230

A comprehensive guide for parents and students to navigate the mathematical skills expected in the 221-230 NWEA MAP RIT range, featuring actionable checklists and home-based practice ideas.

L

llocascio

Math Teacher
4/27
Lesson
Arcade Arena Slides
Arcade Arena Worksheet
Arcade Arena Game Cards
Arcade Arena Answer Key

Arcade Arena Review

An all-in-one review lesson covering the five major 6th-grade math domains. Designed for IEP support with visual scaffolds and simplified 2-option choices.

CS

COURTNEY SCHERER

Special Education Teacher
4/24
Lesson
Scaling Reality Assessment
Assessment Teacher Key

Final Assessment Day 4

Comprehensive assessment of ratio and proportion skills, covering all algebraic complexities introduced in the unit.

KD

Karen Dhuyvetter

Math Teacher
4/23
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