### Examples

The number sixty-seven and three hundredths written in standard form is 67.03 and in expanded form is 60+7+0.03 or .**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**5

**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

- NA

### Vertical Alignment

Previous Benchmarks

Next Benchmarks

### Purpose and Instructional Strategies

The purpose of this benchmark is for students to read numbers appropriately and to write numbers in all forms. Utilizing place value, students are expected to understand the value of tenths, hundredths, and thousandths, extending from their work to read and write whole numbers in any form in grade 4 (MA.4.NSO.1.2). Writing numbers in expanded form can help students see the relationship between decimals and fractions (MTR.5.1). Translating from written form to symbolic form builds the foundation for moving from written to algebraic form in grade 6 (MA.6.AR.1.1).- Representing numbers in flexible ways will help students name, order, compare and operate with decimals (MTR.3.1).
- During instruction, teachers should relate all three forms using place value charts and base ten manipulatives (e.g., blocks) (MTR.3.1, MTR.4.1, MTR.5.1).

### Common Misconceptions or Errors

- Students may incorrectly read and write from expanded form if one of the digits is 0, like in the number 67.03 as used in the benchmark example. A common mistake that students make is to name the number as 67.3 because they do not see that 3 is the value of hundredths.

### Strategies to Support Tiered Instruction

- Instruction includes the use of place value understanding, models such as place value disks and decimal fractions to read and write multi-digit numbers with decimals to the thousandths using standard form, word form and expanded form when one of the digits in the decimal place values is 0.
- For example, write 2.054 in standard form, word form and expanded form using a place value chart.

- $\frac{\text{54}}{\text{1,000}}$ and explaining that doing so helps us to read the decimal correctly. Also, the teacher explains that the word “and” is used for a portion of a number, decimal or fraction. Next, the teacher and students write 2.054 as 2 $\frac{\text{54}}{\text{1,000}}$ and read the number as “two and fifty-four thousandths.”
- For example, write 6.03 in standard form, word form and expanded form using a place value chart.

- For example, the teacher uses decimal fractions and a place value chart to help students read 6.03, while modeling how to write the decimal portion of the number as a fraction, $\frac{\text{3}}{\text{100}}$ and explaining that doing so helps us to read the decimal correctly. Also, the teacher explains that the word “and” is used for a portion of a number, decimal or fraction. Next, write 6.03 as 6 $\frac{\text{3}}{\text{100}}$ and read the number as “six and three hundredths.”

### Instructional Tasks

*Instructional Task 1 *

### Instructional Items

*Instructional Item 1*

(7 ×100)+(2×1)+(5× $\frac{\text{1}}{\text{10}}$)+(9× $\frac{\text{1}}{\text{1000}}$)

- a.
*Seventy*−*two and fifty*−*nine thousands* - b.
*Seven hundred two and fifty*−*nine hundredths* - c.
*Seven hundred two and five hundred nine thousandths* - d.
*Seventy*−*two and five hundred nine thousandths*

*Instructional Item 2*

*eight*

*thousand*and 2

*hundredths*in standard form.

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

## Related Courses

## Related Access Points

## Related Resources

## Educational Game

## Formative Assessments

## Lesson Plans

## Original Student Tutorial

## MFAS Formative Assessments

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

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

Students are read aloud four numbers and are asked to write the numbers using decimal notation. Then students are shown a number containing a decimal and asked to read it aloud.

## Original Student Tutorials Mathematics - Grades K-5

By the end of this tutorial, you will be able to read and write decimals to the thousandths using base-ten numerals, number names, and expanded form.

## Student Resources

## Original Student Tutorial

By the end of this tutorial, you will be able to read and write decimals to the thousandths using base-ten numerals, number names, and expanded form.

Type: Original Student Tutorial

## Educational Game

This is a fun and interactive game that helps students practice ordering rational numbers, including decimals, fractions, and percents. You are planting and harvesting flowers for cash. Allow the bee to pollinate, and you can multiply your crops and cash rewards!

Type: Educational Game