Multi-Step Algorithm

This worksheet provides scaffolded support for practicing multi-digit multiplication using a clear, step-by-step grid layout. Students work through the multiplication algorithm one digit at a time, recording partial products in aligned positions that reflect correct place-value shifts. Each step builds logically on the previous one, helping learners see the structure of the algorithm as it unfolds.

After completing all partial products, students combine them in a final addition section to determine the total product. This design emphasizes why the multiplication algorithm works, not just how to execute it. The worksheet is ideal for reinforcing systematic thinking, place-value precision, and computational accuracy, making it well suited for guided instruction, independent practice, or skill reinforcement.

Instructional Objectives

• Skill Focus (Grades 4-6)
  Accurately multiply multi-digit numbers using a structured, step-by-step algorithm.
• Conceptual Understanding (Grades 4-6)
  Understand how place-value shifts affect partial products during multiplication.
• Algebraic Reasoning (Grades 5-6)
  Analyze numerical structure and combine sequential results into a single solution.
• Curriculum Alignment (Grades 4-6)
  Support standards addressing multi-digit multiplication, place-value reasoning, and written algorithms.

Learning Benefits

• Reinforces correct execution of the multi-digit multiplication algorithm
• Highlights the role of place value and aligned partial products
• Builds accuracy through structured, sequential problem solving
• Strengthens conceptual understanding of why the algorithm works
• Supports confidence and independence with complex multiplication tasks

This worksheet is part of our Step Multiplication Worksheets collection.