Partial Products

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

4

Overview

This visual tool illustrates how to decompose numbers and find four different products. As students' skills improve, they will move from this pictorial model into a concrete method called partial products. 

Mathematics (2019) Grade(s): 4

MA19.4.11

Find the product of two factors (up to four digits by a one-digit number and two two-digit numbers), using strategies based on place value and the properties of operations.

UP:MA19.4.11

Vocabulary

  • Product
  • Factor
  • Compose
  • Decompose
  • Digit
  • Strategy
  • Place value
  • Properties of operations
  • Equation
  • Rectangular array
  • Area model
  • Partial product
  • Multiple of 10

Knowledge

Students know:
  • How to compose and decompose numbers in a variety of ways using place value and the properties of operations.
  • How to represent the product of two factors using an area model.
  • Use strategies based on place value (partial products), the properties of operations, arrays and area models to represent a two digit factor times a two digit factor.

Skills

Students are able to:
  • Use strategies based on place value and the properties of operations to find products.
  • Illustrate the product of two factors using rectangular arrays and area models.
  • Explain the product of two factors using equations.
  • Make connections between models and equations.

Understanding

Students understand that:
  • arrays, area models, place value strategies, and the properties of operations can be used to find products of a single digit factor by a multi-digit factor and products of two two-digit factors.

Resource Provider

PBS

License Type

Custom

Accessibility

Text Resources: Content is organized under headings and subheadings
Video resources: includes closed captioning or subtitles
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