MathIsimple
Back to 7th Grade Math

Unit 2: Advanced Ratios & Proportions

Master advanced applications of ratios and proportions in real-world contexts. Learn to calculate percentages, convert units, work with similar figures, and understand direct and inverse proportional relationships through engaging scenarios involving shopping, travel, maps, and work efficiency.

Percentage Applications

Master tax calculations, discounts, and commissions through shopping and business scenarios.

55-70 minutes Scenario: Shopping & Business
Tax CalculationsDiscount ApplicationsCommission CalculationsPercentage ConversionsShopping Math
Start Lesson

Unit Conversions & Proportions

Convert between measurement systems and solve proportion problems through international travel scenarios.

60-75 minutes Scenario: International Travel
Unit ConversionsMetric SystemImperial SystemProportion SolvingTravel Applications
Start Lesson

Similar Figures & Scale Factors

Work with similar triangles, scale factors, and proportional relationships through maps and models.

65-80 minutes Scenario: Maps & Models
Similar FiguresScale FactorsMap ReadingModel BuildingProportional Relationships
Start Lesson

Direct & Inverse Proportions

Understand and apply direct and inverse proportional relationships through work efficiency and speed scenarios.

60-75 minutes Scenario: Work Efficiency & Speed
Direct ProportionsInverse ProportionsRate CalculationsGraph AnalysisReal-world Applications
Start Lesson

Unit Learning Objectives

Key Concepts

  • Calculate percentages, taxes, and discounts
  • Convert between different measurement systems
  • Work with similar figures and scale factors
  • Distinguish between direct and inverse proportions

Real-World Applications

  • Shopping and financial calculations
  • International travel and unit conversions
  • Map reading and model building
  • Work efficiency and rate calculations