Unit 1: Multi-Digit Multiplication & Division

Master advanced multiplication and division with two and three-digit numbers. Learn powerful strategies for solving complex problems and real-world applications!

Unit Overview

What You'll Learn

Multiply two-digit numbers using decomposition and area models
Divide three-digit numbers by one-digit numbers with and without remainders
Use estimation to check reasonableness of answers
Solve real-world problems involving large numbers

Key Skills

Decomposition MethodArea ModelsLong DivisionRegroupingEstimationProblem SolvingVerificationReal-world Applications

Learning Objectives

Multiplication Mastery

• Use decomposition method for 2-digit × 2-digit
• Apply area models to visualize multiplication
• Master regrouping in multiple steps
• Understand place value relationships

Division Skills

• Perform long division with 3-digit dividends
• Handle division with and without remainders
• Verify answers using multiplication
• Understand remainder rules and applications

Problem Solving

• Use estimation to check reasonableness
• Apply operations to real-world situations
• Choose appropriate strategies for different problems
• Communicate mathematical thinking clearly

Lessons in This Unit

Lesson 1: Two-Digit by Two-Digit Multiplication (No Regrouping)

60-75 minutes

Learn to multiply two-digit numbers without regrouping using the decomposition method and vertical algorithm.

Decomposition methodVertical algorithmPlace value understanding+1 more

School Uniform Ordering

Lesson 2: Two-Digit by Two-Digit Multiplication (With Regrouping)

60-75 minutes

Master multiplication with regrouping using area models and practice multiple regrouping steps.

Area modelRegroupingMultiple steps+1 more

Library Book Purchase

Lesson 3: Three-Digit by One-Digit Division (No Remainder)

60-75 minutes

Learn long division with three-digit dividends and one-digit divisors using step-by-step decomposition.

Long divisionStep-by-step methodPlace value+1 more

Candy Gift Box Distribution

Lesson 4: Three-Digit by One-Digit Division (With Remainder)

60-75 minutes

Master division with remainders and learn to verify answers using multiplication and addition.

Division with remainderVerificationRemainder rules+1 more

Class Group Formation

Lesson 5: Multiplication & Division Estimation & Applications

60-75 minutes

Apply estimation strategies to solve real-world problems and verify reasonableness of answers.

EstimationRoundingReal-world problems+1 more

Travel Budget Planning

Prerequisites

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

Basic Operations

• Single-digit multiplication tables (1-12)
• Two-digit addition and subtraction
• Basic division facts
• Place value understanding (hundreds, tens, ones)

Concepts

• Understanding regrouping in addition and subtraction
• Basic problem-solving strategies
• Estimation and rounding
• Reading and interpreting word problems

Success Tips

Multiplication Strategies

•Practice multiplication facts daily for speed and accuracy
•Use area models to visualize the multiplication process
•Break down large problems into smaller, manageable steps
•Always check your work using estimation

Division Mastery

•Master the long division algorithm step by step
•Understand that remainders must be less than the divisor
•Verify your answers using: Quotient × Divisor + Remainder = Dividend
•Practice with real-world problems to understand applications

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