MathIsimple
Back to 6th Grade Math

Unit 1: Ratios & Proportional Relationships

Master the fundamental concepts of ratios and proportions through engaging real-world scenarios. Learn to compare quantities, calculate unit rates, work with scales, and solve complex proportional problems that you'll encounter in everyday life and future math courses.

Understanding Ratios

Learn ratio notation and meaning through juice mixing scenarios. Master part-to-part and part-to-whole relationships.

45-60 minutes Scenario: Juice Mixing
Ratio NotationPart-to-PartPart-to-WholeRatio TablesTape Diagrams
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Unit Rates

Calculate and compare unit rates to make smart shopping decisions and solve rate problems.

50-65 minutes Scenario: Supermarket Comparison
Unit Rate CalculationRate ComparisonShopping DecisionsSpeed ProblemsEfficiency Analysis
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Scale Applications

Apply scale factors to maps, blueprints, and models. Convert between actual and scaled measurements.

55-70 minutes Scenario: Map Navigation
Scale FactorsMap ReadingBlueprint AnalysisUnit ConversionProportional Scaling
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Ratios and Percentages

Convert ratios to percentages and solve problems involving voting, surveys, and statistical data.

50-65 minutes Scenario: Class Voting
Ratio-Percentage ConversionSurvey AnalysisStatistical InterpretationProportional ReasoningData Analysis
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Proportional Problem Solving

Solve complex proportional problems involving recipe scaling, cost calculations, and multi-step reasoning.

60-75 minutes Scenario: Baking Recipe Scaling
Multi-step ProblemsRecipe ScalingCost AnalysisProportional ReasoningProblem Verification
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Unit Learning Objectives

Key Concepts

  • Understand ratio notation and meaning
  • Calculate and compare unit rates
  • Apply scale factors to real situations
  • Convert between ratios and percentages

Real-World Applications

  • Recipe scaling and cooking
  • Shopping and price comparisons
  • Map reading and navigation
  • Survey data interpretation