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# MAFS.5.NBT.1.4

Use place value understanding to round decimals to any place.

### 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 contain decimals to the thousandths with the greatest place value to the millions. The least place value a decimal may be rounded to is the hundredths place.
• Calculator :

No

• Context :

Allowable

### Sample Test Items (3)

• Test Item #: Sample Item 1
• Question:

Select all the numbers that round to 4.3 when rounded to the nearest tenth.

• Difficulty: N/A
• Type: MS: Multiselect

• Test Item #: Sample Item 3
• Question:

This question has two parts.

An unknown number is not equal to 3.6 but rounds to 3.6 when rounded to the nearest tenth.

Part A. What could be the unknown number?

Part B. What does the unknown number round to when rounded to the nearest whole?

• Difficulty: N/A
• Type: EE: Equation Editor

## 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.4a: Round decimals to the next whole number.
MAFS.5.NBT.1.AP.4b: Round decimals to the tenths place.
MAFS.5.NBT.1.AP.4c: Round decimals to the hundredths place.

## 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 2 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

## Educational Games

Ice Ice Maybe: An Operations Estimation Game:

This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents.

Various levels of difficulty make this game appropriate for multiple age and ability levels.

Multiplication/Division: The multiplication and addition of fractions and decimals.

Percentages: Identify the percentage of a whole number.

Fractions: Multiply and divde a whole number by a fraction, as well as apply properties of operations.

Type: Educational Game

Fractions Decimals Percents Jeopardy Game:

In this interactive Jeopardy game, students convert fractions to decimals and percents and convert percents to fractions and decimals. Up to four teams or individuals can play the game, and members of each team or individuals can pick which category and amount they would like to answer in order to score the most points.

Type: Educational Game

## Formative Assessments

Rounding To The Nearest Whole Number:

Students are given four numbers and asked to round each to the nearest whole number and to explain their reasoning.

Type: Formative Assessment

Rounding To The Thousandths Place:

Students are given four numbers and asked to round each to the nearest thousandth and to explain their reasoning.

Type: Formative Assessment

Rounding To The Tenths Place:

Students are given four numbers and asked to round each to the nearest tenth and to explain their reasoning.

Type: Formative Assessment

Shopping for Produce:

Students are asked to round numbers given in a context to the nearest hundredth.

Type: Formative Assessment

## Lesson Plans

Rounding Decimal Numbers - Lesson #3:

This is the final lesson in the Rounding Decimal Numbers Unit and will bring together the mathematical concepts in lesson 1 and 2. This lesson then bridges the computer science coding and mathematical thought process together as students dissect code that rounds decimal numbers as well as building their own code to make rounding an automated process.

Type: Lesson Plan

Rounding Decimal Numbers - Lesson #2:

This is lesson 2 of 3 in the Rounding Decimal Numbers unit. This lesson introduces Traditional Rounding method to determine an estimated value rounded to a specific place value. This lesson bridges the concepts of fractions to decimals and powers of ten as well expanded notation to rounding methods.

This lesson uses flowchart model to describe the method in which the rounding is performed. Rounded numbers are verified using a Scratch activity in this lesson.

Type: Lesson Plan

Beach on a Budget:

Topic Overview:This 5th grade MEA asks students to work in teams to determine from which store they will buy beach equipment for a new beach rental business, after considering several criteria. After the students have created a proposal based on given data, a twist is added which may vary their results.

Type: Lesson Plan

Which Cell Phone for Mia?:

This engaging MEA requires students to help a 5th grade student decide which cell phone she will ask her parents for as her birthday present. Students must use a chart to analyze information and make conclusions based upon their own ranking system within their cooperative group. They then must write a letter to the student justifying their conclusions.

Type: Lesson Plan

Which Sweets for the Bakery?:

This MEA gives students the opportunity to use real world data to rank proposed product lines from most likely to be profitable to least likely to be profitable. There are two sequential tasks; the second task adds a component of complexity to the original task. Students will apply multiplication and division skills in problem solving, write a procedure with grade-appropriate organization and conventions, and participate in group collaboration to complete this task.

Type: Lesson Plan

Getting Dry:

This MEA asks the students to compare hand drying products based on: initial cost, replacement cost and absorbency. Students will provide the "top choice" to the principal of the school and explain how they arrived at the solution. In the twist, students will be asked to consider the environmental impact of the products and reevaluate their conclusions.

Type: Lesson Plan

## Virtual Manipulative

Place Value Number Line:

With this interactive applet students can develop their understanding of place value and the relative position and magnitude of numbers in the base-10 number system. Users drag given numbers to their position on a number line, zooming in and out to increase precision. They can select from six levels of difficulty (Tens, Hundreds, Thousands, Millions, Billions, Decimals) and from 1 to 3 dots. There are three modes: Explore, Practice, Test.

Type: Virtual Manipulative

## STEM Lessons - Model Eliciting Activity

Beach on a Budget:

Topic Overview:This 5th grade MEA asks students to work in teams to determine from which store they will buy beach equipment for a new beach rental business, after considering several criteria. After the students have created a proposal based on given data, a twist is added which may vary their results.

Getting Dry:

This MEA asks the students to compare hand drying products based on: initial cost, replacement cost and absorbency. Students will provide the "top choice" to the principal of the school and explain how they arrived at the solution. In the twist, students will be asked to consider the environmental impact of the products and reevaluate their conclusions.

Which Cell Phone for Mia?:

This engaging MEA requires students to help a 5th grade student decide which cell phone she will ask her parents for as her birthday present. Students must use a chart to analyze information and make conclusions based upon their own ranking system within their cooperative group. They then must write a letter to the student justifying their conclusions.

Which Sweets for the Bakery?:

This MEA gives students the opportunity to use real world data to rank proposed product lines from most likely to be profitable to least likely to be profitable. There are two sequential tasks; the second task adds a component of complexity to the original task. Students will apply multiplication and division skills in problem solving, write a procedure with grade-appropriate organization and conventions, and participate in group collaboration to complete this task.

## MFAS Formative Assessments

Rounding To The Nearest Whole Number:

Students are given four numbers and asked to round each to the nearest whole number and to explain their reasoning.

Rounding To The Tenths Place:

Students are given four numbers and asked to round each to the nearest tenth and to explain their reasoning.

Rounding To The Thousandths Place:

Students are given four numbers and asked to round each to the nearest thousandth and to explain their reasoning.

Shopping for Produce:

Students are asked to round numbers given in a context to the nearest hundredth.

## Student Resources

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

## Educational Game

Ice Ice Maybe: An Operations Estimation Game:

This fun and interactive game helps practice estimation skills, using various operations of choice, including addition, subtraction, multiplication, division, using decimals, fractions, and percents.

Various levels of difficulty make this game appropriate for multiple age and ability levels.

Multiplication/Division: The multiplication and addition of fractions and decimals.

Percentages: Identify the percentage of a whole number.

Fractions: Multiply and divde a whole number by a fraction, as well as apply properties of operations.

Type: Educational Game

## Virtual Manipulative

Place Value Number Line:

With this interactive applet students can develop their understanding of place value and the relative position and magnitude of numbers in the base-10 number system. Users drag given numbers to their position on a number line, zooming in and out to increase precision. They can select from six levels of difficulty (Tens, Hundreds, Thousands, Millions, Billions, Decimals) and from 1 to 3 dots. There are three modes: Explore, Practice, Test.

Type: Virtual Manipulative

## Parent Resources

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

## Virtual Manipulative

Place Value Number Line:

With this interactive applet students can develop their understanding of place value and the relative position and magnitude of numbers in the base-10 number system. Users drag given numbers to their position on a number line, zooming in and out to increase precision. They can select from six levels of difficulty (Tens, Hundreds, Thousands, Millions, Billions, Decimals) and from 1 to 3 dots. There are three modes: Explore, Practice, Test.

Type: Virtual Manipulative