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# MAFS.5.NBT.1.1

Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

### Clarifications

Examples of Opportunities for In-Depth Focus

The extension of the place value system from whole numbers to decimals is a major intellectual accomplishment involving understanding and skill with base-ten units and fractions.

### General Information

Subject Area: Mathematics
Domain-Subdomain: Number and Operations in Base Ten
Cluster: Level 1: Recall
Cluster: Understand the place value system. (Major Cluster) -

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

### Test Item Specifications

• Assessment Limits :
Items may require a comparison of the values of digits across multiple place values, including whole numbers and decimals from millions to thousandths.
• Calculator :

No

• Context :

Allowable

### Sample Test Items (4)

• Test Item #: Sample Item 1
• Question:

What is the missing value in the equation shown? • Difficulty: N/A
• Type: EE: Equation Editor

• Test Item #: Sample Item 2
• Question:

What is the value of the missing number in the following equation? • Difficulty: N/A
• Type: MC: Multiple Choice

## Related Courses

This benchmark is part of these courses.
5012070: Mathematics - Grade Five (Specifically in versions: 2014 - 2015, 2015 and beyond (current))
7712060: Access Mathematics Grade 5 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 and beyond (current))
5012065: Accelerated Mathematics Plan Grade 4 (Specifically in versions: 2019 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MAFS.5.NBT.1.AP.1a: Compare the value of a number when it is represented in different place values of two three-digit numbers.

## Related Resources

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

## Assessments

Sample 4 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

Sample 3 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

## Formative Assessments

The Odometer:

Given an odometer reading, students are asked to discuss the value of each digit and explain how a digit in one place represents 10 times as much as the same digit to its right, and one-tenth as much as the same digit to its left.

Type: Formative Assessment

Dylan’s Baseball Card Collection:

Students are asked to find of 500 and are assessed on the use of their knowledge of the base-ten number system.

Type: Formative Assessment

Five Tenths:

Students are asked to consider how much larger five is than five tenths.

Type: Formative Assessment

Walking to School:

Students are presented with two decimals in the context of a distance word problem and asked to tell how many times longer one distance is than the other.

Type: Formative Assessment

## Lesson Plans

Place Value: From Models to Numbers:

This is an introductory lesson on place value and decimals. Students will use base-ten models, illustrations, and numbers to show that a digit in the hundredths place is one-tenth (1/10) of the value of the digit in the tenths place.

Type: Lesson Plan

Predicting Place Value Patterns!:

In this lesson, students will use guided notes to assist them in identifying and analyzing patterns among place value positions. Students will also watch an educational video to help them to draw conclusions, make connections and provide practice of the skill.

Type: Lesson Plan

Wire We All Wet?:

A fire caused by faulty wiring set off a sprinkler system, which damaged a school. The school must be remodeled and the electrical wiring must be replaced. Students will use newspaper accounts to solve the mystery of how the fire happened. Then they become engineers and decide which materials to use to as conductors and which to use as insulators. In order to complete this task, students will learn about insulators and conductors, and practice reading nonfiction text and ordering decimals.

Type: Lesson Plan

Understanding Place Value:

This lesson is designed to help students understand the 10 to 1 relationship among place value positions and the mathematical patterns when calculating place value.

Type: Lesson Plan

"Shift the Place, Shift the Value" - Understanding Adjacent Places in the Base-ten System:

In this lesson students will be challenged to discover the relationship between values of adjacent places in the base-ten system. After an introduction to the concept by the teacher, pairs of students will play a place value game with digit cards, then they will individually complete a written summative assessment.

Type: Lesson Plan

The Dazzling Painting Co.:

ResourceID: 49826

Type: Lesson Plan

Intro to Multiplying Decimals by 10, 100, 1000:

In this lesson, students are introduced to multiplying decimals by 10, 100, and 1000, in which students begin by creatively solving word problems. Students will analyze the number sentences used to solve the word problems, looking for and recording patterns and discovering that each place value has a value ten times as much as the place to its right, which is why each time a number is multiplied by 10, the digits move one place to the left.

Type: Lesson Plan

## Lesson Study Resource Kit

Number Structure:

In this Lesson Study Resource Kit, teams will be provided with research on content & pedagogy, as well as a teaching-learning plan for a grade 3-5 unit of instruction on place value. Included in this resource kit are a battery of released assessment items relevant to understanding place value at grade 4 from the National Assessment of Educational Progress (NAEP) and the Trends in Mathematics and Science Study (TIMSS).

Type: Lesson Study Resource Kit

## Original Student Tutorial

Flying From Place To Place:

Take flight as you learn to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right with this interactive tutorial.

Type: Original Student Tutorial

## STEM Lessons - Model Eliciting Activity

The Dazzling Painting Co.:

ResourceID: 49826

Wire We All Wet?:

A fire caused by faulty wiring set off a sprinkler system, which damaged a school. The school must be remodeled and the electrical wiring must be replaced. Students will use newspaper accounts to solve the mystery of how the fire happened. Then they become engineers and decide which materials to use to as conductors and which to use as insulators. In order to complete this task, students will learn about insulators and conductors, and practice reading nonfiction text and ordering decimals.

## MFAS Formative Assessments

Dylan’s Baseball Card Collection:

Students are asked to find of 500 and are assessed on the use of their knowledge of the base-ten number system.

Five Tenths:

Students are asked to consider how much larger five is than five tenths.

The Odometer:

Given an odometer reading, students are asked to discuss the value of each digit and explain how a digit in one place represents 10 times as much as the same digit to its right, and one-tenth as much as the same digit to its left.

Walking to School:

Students are presented with two decimals in the context of a distance word problem and asked to tell how many times longer one distance is than the other.

## Original Student Tutorials Mathematics - Grades K-5

Flying From Place To Place:

Take flight as you learn to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right with this interactive tutorial.

## Student Resources

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

## Original Student Tutorial

Flying From Place To Place:

Take flight as you learn to recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right with this interactive tutorial.

Type: Original Student Tutorial

## Parent Resources

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