Partial Product Multiplication Lesson and Worksheets

The final step before the standard algorithm

The Partial Product Multiplication Algorithm is a foundational piece of math in the fourth and fifth grade. This is where we move from an area model for multiplication made of decomposed numbers to a traditional algorithm.

The partial product algorithm is a way for students to deepen their understanding of place value while multiplying. Once this is mastered, students are ready for the standard algorithm for multiplication.

This download contains a PowerPoint presentation that walks students through the Partial Product Algorithm. It provides step-by-step models as well as practice slides. I use this in my class during Whiteboard Math so students can follow along and practice every step. 

Plus, you get three PDF worksheets with 12 items each: 

  • Worksheet 1 has simpler numbers to multiply and maintains all columns and rows to support students as they learn the pattern for solving these multiplication algorithms. 
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Partial product multiplication lesson and worksheets
  • Worksheet 2 is the same as worksheet 1 except the numbers are a little more challenging. 
  • Worksheet 3 removes some of the scaffolds for students as they grow toward mastery. 

Answer key included for every page!

My students always enjoy partial product multiplication because it makes sense to them. They have mastered their basic facts and they are ready to tackle larger numbers. Kids like following a pattern and partial product multiplication algorithms fill that bill!

~ Download a sample, or see more details below ~


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Answer key included

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Partial product multiplication lesson and worksheets sample
Partial product multiplication lesson and worksheets sample
Partial product multiplication lesson and worksheets sample

Product Details

  • Resource Type: Lesson Plan, Worksheets, PowerPoint
  • K-12 Subjects: Math, Multiplication
  • Grade Levels: 4th, 5th
  • Teaching Duration: 1 Hour
  • Answer Key: Included
  • Pages: 16
  • Download Type: Zip file
  • File Type: PDF

Common Core Focus: Multiplication

4th Grade

  • Key Ideas and Details
  • Number and Operations in Base Ten
  • Use place value understanding and properties of operations to perform multi-digit arithmetic

CCSS.Math.Content.4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5th Grade

  • Key Ideas and Details
  • Number and Operations in Base Ten
  • Perform operations with multi-digit whole numbers and with decimals to the hundredths

CCSS.Math.Content.5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.


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