The final step before the standard multiplication algorithm
The partial product multiplication algorithm is a foundational piece of math in the fourth and fifth grades. This is the “link” between an area model for multiplication made of decomposed numbers and the 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.
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Of course I provide a complete answer key.
Start off your lesson with my comprehensive PowerPoint
It walks students through the process step-by-step, including models as well as practice slides. I use this in my class during whiteboard math so students can follow along and practice every step on their own.
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.
- 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.
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!
Common Core Focus: Math
- 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.
- CCSS.Math.Content.5.NBT.B.5 Fluently multiply multi-digit whole numbers using the standard algorithm.