ALEX Classroom Resource

  

Place Value: Writing a Number in Expanded Form

  Classroom Resource Information  

Title:

Place Value: Writing a Number in Expanded Form

URL:

https://aptv.pbslearningmedia.org/resource/ik0y39rjbgq/place-value-3-khan-ik0y39rjbgq/

Content Source:

PBS
Type: Learning Activity

Overview:

To make the "expanded" form of a number, break it down to its ones, tens, hundreds, and other place values. Understanding how to break numbers down assist students in understanding various problem-solving strategies. This resource provides videos and practice problems that explore this skill.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 4
7. Read and write multi-digit whole numbers using standard form, word form, and expanded form.

Unpacked Content
Evidence Of Student Attainment:
Students:
  • When given a number in one form (base-ten numerals, words, expanded form), identify the number in another form.
Note: Expectations are limited to whole numbers less than or equal to 1,000,000.
Teacher Vocabulary:
  • Base-ten numerals
  • Expanded form
  • Expanded notation
  • Standard form
  • Word form
  • Place value
  • Thousands period
  • Ones period
Knowledge:
Students know:
  • the relationship among places in a number and place values.
Skills:
Students are able to:
  • Read numbers 1 to 1,000,000 based on place value understanding.
  • Write numbers using base-ten numerals.
  • Write numbers using expanded notation.
  • Write numbers in word form.
Understanding:
Students understand that:
  • The same quantity can be represented with mathematical models, words, and expanded form based on the place value of the digits.
  • The value of a digit in a multi-digit number depends on the place value position it holds.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.7.1: Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits using >, =, and < symbols to record the results of comparisons.
M.4.7.2: Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.
M.4.7.3: Convert a number written in expanded notation to standard form.

Prior Knowledge Skills:
  • Define greater than, less than and equal to.
  • Compare two two-digit numbers based on meanings of the tens and ones digits, recording the results of comparisons with the symbols >, =, and <.
  • Arrange two-digit numbers in order from greatest to least or least to greatest.
  • Identify zero as a place holder in two-digit and three-digit numbers.
  • Model using >, =, and < symbols to record the results of comparisons of two two-digit numbers.
  • Select numbers on a number line that are more than, less than or equal to a specified number.
  • Match the words greater than, equal to and less than to the symbols >, =, and <.
  • Determine the value of the digits in the ones and tens place.
  • Identify sets with more, less or equal objects.
  • Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.
  • Number & Operations in Base Ten.
  • Use place value understanding and properties of operations to add and subtract.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.6 Compare whole number values to 50 using symbols (e.g., <, >, =).


Mathematics
MA2019 (2019)
Grade: 4
8. Use place value understanding to compare two multi-digit numbers using >, =, and < symbols.
Unpacked Content
Evidence Of Student Attainment:
Students:
When given numerical comparisons,
  • Identify comparison using <, >, and = symbols to record the results of comparison.
  • Use reasoning based on place value understanding to explain the comparison.
Note: Expectations are limited to whole numbers less than or equal to 1,000,000.
Teacher Vocabulary:
  • Place value
  • Compare
  • Multi-digit
Knowledge:
Students know:
  • the relationship among positions of digits in a number and place value.
Skills:
Students are able to:
  • Compare numbers using place value understanding.
  • Use <, >, or = symbols to record the comparison.
Understanding:
Students understand that:
  • place value strategies can be used for comparing and ordering numbers.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.8.1: Use place value understanding to round whole numbers to the nearest 10 or 100.
M.4.8.2: Model rounding whole numbers to the nearest 100.
M.4.8.3: Round whole numbers from 100 to 999 using whole numbers from 10 to 99.
M.4.8.4: Model rounding whole numbers to the nearest 10.
M.4.8.5: Round whole numbers from 10 to 99 using whole numbers from 1 to 9.
M.4.8.6: Round whole numbers from 1 to 9 and model to show proficiency.

Prior Knowledge Skills:
  • Define rounding.
  • Round whole numbers from 100 to 999 using whole numbers from 10 to 99.
  • Model rounding whole numbers to the nearest 100.
  • Round whole numbers from 10 to 99 using whole numbers from 1 to 9.
  • Model rounding whole numbers to the nearest 10.
  • Identify the steps in rounding two- and three-digit numbers.
    Example: Identify the digit that may change and the number to the right.
  • Round whole numbers from 1 to 9 and model to show proficiency.
  • Understand that the two digits of a two-digit number represent amounts of tens and ones.
  • Match the number in the ones, tens, and hundreds position to a pictorial representation or manipulative of the value.
Tags: expanded form, multidigit numbers
License Type: Custom Permission Type
See Terms: https://www.pbslearningmedia.org/help/terms-of-use/#restrictions
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
Partnered Event: ALEX Resource Development Summit
Accessibility
Comments

2019 ALCOS

7. Read and write multi-digit whole numbers using standard form, word form, and expanded form.

  This resource provided by:  
Author: Michelle Frye
The event this resource created for:ALEX Resource Development Summit