Lesson Plan: Place Value of Numbers up to 1,000,000,000,000 Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to define place values in the billions; write numbers with 10, 11, and 12 digits in standard, expanded, and word forms; state the value of any digit; and decompose numbers in multiple ways.


Students will be able to

  • state the value of any digit in a number with 10, 11, or 12 digits,
  • decompose numbers up to a trillion using place value models and part–whole models,
  • write numbers with 10, 11, or 12 digits in word, standard, and expanded forms,
  • write numbers represented using part–whole models, place value tables, or abacuses.


Students should already be familiar with

  • the place value of numbers in the millions range,
  • writing large numbers in word, standard, unit, and expanded forms,
  • using models to represent larger numbers,
  • the idea that a digit’s place value is 10 times greater than the value of the place to its right and 10 times smaller than the value of the place to its left.


Students will not cover

  • comparing or ordering numbers.

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