Unit 1: Fraction Multiplication & Division

Master fraction operations with integers and other fractions through engaging real-world scenarios!

Unit Overview

What You'll Learn

Multiply fractions by integers using repeated addition and area models
Multiply fractions by fractions with proper simplification techniques
Divide fractions by integers using fair sharing concepts
Divide fractions by fractions using the reciprocal method
Apply all operations in complex real-world problem-solving scenarios

Key Skills

Fraction OperationsArea ModelsRepeated AdditionReciprocal MethodSimplificationReal-world ApplicationsProblem SolvingAlgorithm Development

Learning Objectives

Multiplication Mastery

• Use repeated addition for fraction × integer
• Apply area models for fraction × fraction
• Develop efficient algorithms
• Simplify results when possible

Division Understanding

• Use fair sharing for fraction ÷ integer
• Apply reciprocal method for fraction ÷ fraction
• Connect division to multiplication
• Verify results with models

Real-world Application

• Solve practical problems
• Choose appropriate operations
• Work with multi-step scenarios
• Verify answers make sense

Lessons in This Unit

Lesson 1: Fraction × Integer

45-60 minutes

Learn to multiply fractions by whole numbers using repeated addition and area models.

Repeated AdditionArea ModelsAlgorithm Development+1 more

Baking Cookies

Lesson 2: Fraction × Fraction

50-65 minutes

Master multiplying fractions by fractions using area models and simplification techniques.

Area ModelsCross MultiplicationSimplification+1 more

Fabric Cutting

Lesson 3: Fraction ÷ Integer

40-55 minutes

Understand dividing fractions by whole numbers using fair sharing and reciprocal concepts.

Fair SharingReciprocal MultiplicationError Correction+1 more

Fruit Salad Sharing

Lesson 4: Fraction ÷ Fraction

55-70 minutes

Master dividing fractions by fractions using the reciprocal method and measurement division.

Reciprocal MethodMeasurement DivisionAlgorithm Development+1 more

Watering Plants

Lesson 5: Mixed Fraction Operations

60-75 minutes

Apply all fraction operations in complex real-world scenarios with multi-step problems.

Multi-step ProblemsOperation IntegrationOrder of Operations+1 more

Community Service

Prerequisites

Before starting this unit, make sure you're comfortable with:

Basic Fraction Concepts

• Understanding numerator and denominator
• Equivalent fractions and simplification
• Adding and subtracting fractions with like denominators
• Converting between mixed numbers and improper fractions

Multiplication & Division

• Basic multiplication and division facts
• Multi-digit multiplication and division
• Understanding of repeated addition
• Problem-solving strategies

Success Tips

Fraction Operations

•Always simplify your answers when possible
•Use visual models to understand the concepts
•Practice with real-world examples
•Check your work by working backwards

Problem Solving

•Read problems carefully and identify the operation needed
•Draw diagrams or use models to visualize the problem
•Work step by step and show all your work
•Ask yourself: "Does this answer make sense?"

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