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Unit 1 of 7

Multi-Digit Multiplication & Division

🚀 Master advanced multiplication and division with two and three-digit numbers. Learn powerful strategies like decomposition, area models, and long division that make complex problems easy to solve!

5
Lessons
22
Activities
3-4
Hours
●●●
Challenging
Learning Objectives

What You'll Master in This Unit

Build essential multiplication and division skills that form the foundation for advanced mathematics

Two-Digit Multiplication Mastery

Multiply two-digit numbers using decomposition and area model methods with and without regrouping

Long Division Skills

Divide three-digit numbers by one-digit divisors using the long division algorithm step by step

Remainder Understanding

Work with and interpret remainders in division problems and real-world contexts

Estimation Strategies

Use rounding and compatible numbers to estimate products and quotients for reasonableness

Verification Methods

Check multiplication and division answers using inverse operations and estimation

Real-World Applications

Solve practical problems involving money, measurements, and everyday scenarios

5 Interactive Lessons

Your Learning Journey

Progress through these carefully designed lessons to build mastery step by step

1

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

Medium

Learn to multiply two-digit numbers without regrouping using the decomposition method and area models. Master place value understanding with real-world examples.

Topics Covered:

Decomposition Method
Area Models
Place Value
No Regrouping
40-45 min
4 Activities
2

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

Hard

Master multiplication with regrouping using area models and the standard algorithm. Practice multi-step regrouping with challenging problems.

Topics Covered:

Regrouping Process
Standard Algorithm
Area Models
Complex Calculations
40-45 min
5 Activities
3

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

Medium

Learn long division with three-digit dividends and one-digit divisors. Practice step-by-step decomposition and verification strategies.

Topics Covered:

Long Division Steps
Place Value Division
Verification
Quotient Finding
40-45 min
4 Activities
4

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

Hard

Master division with remainders and learn to interpret them in real-world contexts. Verify answers using multiplication and addition.

Topics Covered:

Remainders
Division Verification
Real-World Applications
Interpretation
40-45 min
5 Activities
5

Lesson 5: Estimation & Applications

Medium

Apply estimation strategies to solve real-world problems. Learn rounding techniques and verify reasonableness of answers in complex scenarios.

Topics Covered:

Rounding Strategies
Compatible Numbers
Mental Estimation
Problem Solving
40-45 min
4 Activities

Study Tips for Success

Multiplication Mastery

  • ●Practice multiplication facts (1-12) daily to build speed and confidence
  • ●Use area models to visualize how multiplication works with larger numbers
  • ●Break down problems into smaller steps using the decomposition method
  • ●Always estimate your answer first to check if your final answer makes sense

Division Success

  • ●Learn the long division steps: Divide, Multiply, Subtract, Bring Down
  • ●Remember that remainders must always be smaller than the divisor
  • ●Verify your division answers: Quotient × Divisor + Remainder = Dividend
  • ●Practice with real-world problems to understand when to use division
🚀

Ready to Begin?

Start with Lesson 1 and work your way through all five lessons to master multi-digit multiplication and division!

Start Lesson 1