MathIsimple
Back to 7th Grade Math

Unit 1: Operations with Rational Numbers

Master the fundamental operations with integers, fractions, and decimals through engaging real-world scenarios. Learn to work with positive and negative numbers, understand order of operations, and apply these skills to solve complex problems in banking, travel, cooking, and scientific measurements.

Integer Addition & Subtraction

Master integer operations using number line models through altitude change scenarios.

50-65 minutes Scenario: Altitude Changes
Number Line ModelsInteger AdditionInteger SubtractionAltitude ChangesTemperature Variations
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Integer Multiplication & Division

Learn multiplication and division rules through banking and temperature scenarios.

55-70 minutes Scenario: Banking & Temperature
Sign RulesInteger MultiplicationInteger DivisionBanking ApplicationsRate Calculations
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Fraction & Decimal Operations

Master mixed operations with fractions and decimals through baking and measurement scenarios.

60-75 minutes Scenario: Baking & Measurements
Fraction OperationsDecimal OperationsMixed CalculationsRecipe ScalingMeasurement Problems
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Complex Operations with Parentheses

Master order of operations and absolute value through temperature and elevation problems.

55-70 minutes Scenario: Temperature Fluctuations
Order of OperationsAbsolute ValueParenthesesTemperature CalculationsElevation Problems
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Comprehensive Applications

Apply all rational number operations to solve complex real-world problems.

65-80 minutes Scenario: Hiking & Financial Planning
Multi-step ProblemsFinancial ApplicationsTravel CalculationsProblem IntegrationSolution Verification
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Unit Learning Objectives

Key Concepts

  • Master integer operations with number line models
  • Apply sign rules for multiplication and division
  • Perform mixed operations with fractions and decimals
  • Understand order of operations and absolute value

Real-World Applications

  • Banking and financial calculations
  • Temperature and altitude measurements
  • Recipe scaling and cooking measurements
  • Travel and distance calculations