# MA.4.NSO.1.2

Read and write multi-digit whole numbers from 0 to 1,000,000 using standard form, expanded form and word form.

### Examples

The number two hundred seventy-five thousand eight hundred two written in standard form is 275,802 and in expanded form is 200,000+70,000+5,000+800+2 or (2×100,000)+(7×10,000)+(5×1,000)+(8×100)+(2×1).
General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Number Sense and Operations
Status: State Board Approved

## Benchmark Instructional Guide

• Whole Number

### Vertical Alignment

Previous Benchmarks

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### Purpose and Instructional Strategies

The purpose of this benchmark is for students to read numbers appropriately and to write numbers in all forms and have flexibility with the different forms. This benchmark builds on the work in grade 3 of reading and writing numbers in multiple ways to 10,000 (MA.3.NSO.1.1)
• Students should also have opportunities to explore the idea that 285 could also be 28 tens plus 5 ones or 1 hundred, 18 tens and 5 ones.
• Decomposing numbers flexibly helps students reason through multiplication and division strategies. Multiple representations of the number (MTR.2.1) allow for opportunities to apply the commutative and associative properties. This will allow students to explain their thinking and show their work using place-value strategies and algorithms, in addition to verifying that their answer is reasonable.

### Common Misconceptions or Errors

• Students may have misconceptions when translating word form to standard form. Numbers like one thousand often do not cause a problem; however, a number like three thousand four can cause problems for students. Many students will understand the 3,000 and the 4 but then instead of placing the 4 in the ones place, students will write the numbers as they hear them, 30,004, not understanding that this number represents more than 3,004.

### Strategies to Support Tiered Instruction

• Instruction includes opportunities to model and write numbers with a zero in various place values. A place value chart and models such as base-ten blocks or place value disks can be used to help students understand that when the digit in a multi-digit whole number is 0, it represents a 0 of that place value. Extend this understanding to include writing numbers in word and expanded form.
• For example, in the number 40,607 there are 0 thousands and 0 tens

• For example, in the number 1,002, there are 0 hundreds and 0 tens.

Write each number in standard form and in expanded form.
• a. Eight hundred two thousand five hundred fifty
• b. Twenty thousand three
• c. One thousand four hundred fifty
• d. Seven hundred nineteen thousand two hundred forty - eight
• e. Three thousand eighty - one

### Instructional Items

Instructional Item 1

Select all the ways to rename the number 2,340.
• a. 234 tens
• b. 2,340 ones
• c. 234 thousands
• d. 2 hundreds and 34 ones
• e. 2 thousands and 34 tens
• f. 2 thousands and 34 ones
• g. 2 thousands and 34 hundreds

*The strategies, tasks and items included in the B1G-M are examples and should not be considered comprehensive.

## Related Courses

This benchmark is part of these courses.
5012060: Mathematics - Grade Four (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712050: Access Mathematics Grade 4 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 and beyond (current))
5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.4.NSO.1.AP.2: Read and generate numbers from 0 to 10,000 using standard form and expanded form.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Formative Assessments

Students are asked to read aloud several numbers that are greater than one thousand.

Type: Formative Assessment

Numbers In Expanded Form:

Students are asked to write numbers in both standard form (as base ten numerals) and expanded form.

Type: Formative Assessment

Writing Number Names to a Million:

Students will write the number name (word form) of a number when given the base-ten numeral (standard form).

Type: Formative Assessment

Using Word and Expanded Form:

Students compare two numbers, one given in word form and the other given in expanded form.

Type: Formative Assessment

## Lesson Plans

Planet Hoppers, Inc: A Space Suit Design Company:

Students are asked to evaluate several space suit designs and select the best design based on given data. Students work in collaborative groups to develop a procedure for selecting the best design and share their ideas with the rest of the class. A twist is introduced and the groups are challenged to test the validity of their procedure.

Type: Lesson Plan

Let's Make a Movie:

In this Model Eliciting Activity, MEA, students will add, subtract, and compare multi-digit numbers in order to help a new movie production company decide which genre they should make for their first movie.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

The Street Where Place Value Lives:

Students will apply their place value knowledge to connect place value to the millions by relating it to their communities. Students can discuss and write about place value, using their connections.

Type: Lesson Plan

Oh Where, Oh Where, Should I Put You?:

This highly engaging game is played after the unit on place value has been taught. It is designed to allow the student to think about the placement of a number before writing it down, in order to write the largest and/or smallest number.

Type: Lesson Plan

## Original Student Tutorials

Candy Engineer: Place Value:

Read and write multi-digit whole numbers using base-ten numerals and number names using the Base 10 place value system in this interactive tutorial.

Note: this tutorial exceeds the number limits of the benchmark.

Type: Original Student Tutorial

Candy Sales Are Booming! Expanded Notation:

Learn how to write numbers using place value in different forms like standard, word, and expanded notation in this interactive tutorial.

Type: Original Student Tutorial

## Tutorials

Regrouping Numbers: 4,500 = 3 thousands + ? hundreds:

In this tutorial, you will look at regrouping a number by different place values.

Type: Tutorial

How to use an abacus (to represent multi-digit numbers):

In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right.

Type: Tutorial

## STEM Lessons - Model Eliciting Activity

Let's Make a Movie:

In this Model Eliciting Activity, MEA, students will add, subtract, and compare multi-digit numbers in order to help a new movie production company decide which genre they should make for their first movie.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student-centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Planet Hoppers, Inc: A Space Suit Design Company:

Students are asked to evaluate several space suit designs and select the best design based on given data. Students work in collaborative groups to develop a procedure for selecting the best design and share their ideas with the rest of the class. A twist is introduced and the groups are challenged to test the validity of their procedure.

## MFAS Formative Assessments

Numbers In Expanded Form:

Students are asked to write numbers in both standard form (as base ten numerals) and expanded form.

Students are asked to read aloud several numbers that are greater than one thousand.

Using Word and Expanded Form:

Students compare two numbers, one given in word form and the other given in expanded form.

Writing Number Names to a Million:

Students will write the number name (word form) of a number when given the base-ten numeral (standard form).

## Original Student Tutorials Mathematics - Grades K-5

Candy Engineer: Place Value:

Read and write multi-digit whole numbers using base-ten numerals and number names using the Base 10 place value system in this interactive tutorial.

Note: this tutorial exceeds the number limits of the benchmark.

Candy Sales Are Booming! Expanded Notation:

Learn how to write numbers using place value in different forms like standard, word, and expanded notation in this interactive tutorial.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Original Student Tutorials

Candy Engineer: Place Value:

Read and write multi-digit whole numbers using base-ten numerals and number names using the Base 10 place value system in this interactive tutorial.

Note: this tutorial exceeds the number limits of the benchmark.

Type: Original Student Tutorial

Candy Sales Are Booming! Expanded Notation:

Learn how to write numbers using place value in different forms like standard, word, and expanded notation in this interactive tutorial.

Type: Original Student Tutorial

## Tutorials

Regrouping Numbers: 4,500 = 3 thousands + ? hundreds:

In this tutorial, you will look at regrouping a number by different place values.

Type: Tutorial

How to use an abacus (to represent multi-digit numbers):

In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right.

Type: Tutorial

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

## Tutorial

How to use an abacus (to represent multi-digit numbers):

In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right.

Type: Tutorial