Decimals: Relate Multiplication to Area

Topics

  • Multiplication
  • Decimals
  • Area Model
  • Factors
  • Partial Products

Description

Build rectangles of various sizes and relate multiplication to area. Partition a rectangle into smaller areas and discover new strategies for multiplying decimals!

Sample Learning Goals

  • Recognize that area represents the product of two numbers and is additive.
  • Develop and justify a strategy that uses the area model to simplify a decimal multiplication problem.
  • Devise a strategy to determine the product of two rational numbers (or an integer and a rational number) by representing the product as an area or the sum of areas.
  • Use an area model to understand why multiplying a given number by a decimal less than 1 results in a product smaller than the given number.
  • Interpret the product of two rational numbers using base-ten tiles

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