Read and write numbers from 0 to 10,000 using standard form, expanded form and word form.

### Examples

The number two thousand five hundred thirty written in standard form is 2,530 and in expanded form is 2,000+500+30.General Information

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**3

**Strand:**Number Sense and Operations

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Benchmark Instructional Guide

### Connecting Benchmarks/Horizontal Alignment

### Terms from the K-12 Glossary

- Expression
- Whole number

### Vertical Alignment

Previous Benchmarks

Next Benchmarks

### Purpose and Instructional Strategies

The purpose of this benchmark is for students to express numbers in standard form, expanded form, and word form. This work extends from the Grade 2 expectation to read and write numbers within 1,000 using standard form, expanded form and word form (MA.2.NSO.2.1).- Students learn to express multi-digit whole numbers using the place value of digits to name them in words. For example,
*two thousand five hundred thirty*is named after the 2 in the*thousands*place, the 5 in the*hundreds*place, and the 3 in the*tens*place. - Students express multi-digit whole numbers by decomposing them by place value and showing them as an addition expression with the value of each nonzero digit. For example, 2,530 is decomposed as 2,000 + 500 + 30.
- Decomposing numbers in expanded form helps students understand how addition and subtraction algorithms work, as well as helps them use the distributive property when multiplying multi-digit numbers
*(MTR.2.1).* - Throughout instruction, teachers should ensure students have practice with problems that include both vertical and horizontal forms, including opportunities for students to apply the commutative and associative properties. This will provide students opportunities to explain their thinking and show their work by using place-value strategies and algorithms. In addition to verifying that their answer is reasonable
*(MTR.3.1, MTR.6.1).*

### Common Misconceptions or Errors

- When the value of a digit in a multi-digit whole number is 0, students can misunderstand that it represents 0 of that place value. For example, in the number 2,530, there are 0
*ones*. In the number 1,008, there are 0*hundreds*and 0*tens*.

### Strategies to Support Tiered Instruction

- Instruction includes using models and writing three- and four-digit 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 value of a digit in a multi-digit whole number is 0, it represents a 0 of that place value.
- For example, in the number 1,030 there are 0
*hundreds*(beyond the ten*hundreds*represented by the 1 in the*thousands*place) and 0*ones*(beyond the*ones*represented by the other digits).

- For example, in the number 1,030 there are 0

- For example, in the number 203, there are 0 tens.

### Instructional Tasks

*Instructional Task 1*

### Instructional Items

*Instructional Item 1*

- a. 300 + 70 + 9
- b. 3,000 + 70 + 9
- c. 3,000 + 70 + 90
- d. 3,000 + 700 + 90

**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.

5012050: Grade Three Mathematics (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 - 2024, 2024 and beyond (current))

7712040: Access Mathematics Grade 3 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))

5012055: Grade 3 Accelerated Mathematics (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))

5012015: Foundational Skills in Mathematics 3-5 (Specifically in versions: 2019 - 2022, 2022 - 2024, 2024 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

MA.3.NSO.1.AP.1: Read and generate numbers from 0 to 1,000 using standard form and expanded form.

## Related Resources

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

## Lesson Plan

## Tutorial

## Student Resources

Vetted resources students can use to 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

## Parent Resources

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

## Tutorial

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