Expanded Grids

This worksheet uses a full step-grid format to break multi-digit multiplication into a clear, predictable visual sequence. Students multiply each digit of one factor by every digit of the other, recording partial products in carefully aligned grid boxes. This structure reduces common alignment errors and supports mastery of the standard multiplication algorithm.

After completing the grid, students combine all partial products in a final addition row to determine the overall product. Through repeated, structured practice, learners build accuracy, confidence, and a deeper conceptual understanding of how multiplication expands across multiple place values. This worksheet is ideal for guided instruction, independent reinforcement, or intervention when students need strong visual and procedural support.

Instructional Objectives

• Skill Focus (Grades 4-6)
  Accurately multiply multi-digit numbers using a structured grid and partial products.
• Conceptual Understanding (Grades 4-6)
  Understand how each digit contributes to the total product across place values.
• Algebraic Reasoning (Grades 5-6)
  Analyze numerical structure and combine multiple partial results into a single solution.
• Curriculum Alignment (Grades 4-6)
  Support standards addressing multi-digit algorithms, place-value reasoning, and written multiplication.

Learning Benefits

• Makes partial products visible and concrete
• Strengthens place-value alignment and organized computation
• Reduces common errors in multi-digit multiplication
• Builds confidence through predictable, step-by-step structure
• Reinforces conceptual understanding of expanded multiplication

This worksheet is part of our Step Multiplication Worksheets collection.