# 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.

#### Objectives

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.

#### Prerequisites

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.

#### Exclusions

Students will not cover

• comparing or ordering numbers.