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MAFS.5.NBT.1.3

Read, write, and compare decimals to thousandths.
  1. Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
  2. Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

General Information

Subject Area: Mathematics
Grade: 5
Domain-Subdomain: Number and Operations in Base Ten
Cluster: Level 2: Basic Application of Skills & Concepts
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 Adopted or Revised: 02/14
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.
  • Calculator :

    No

  • Context :

    Allowable

Sample Test Items (5)





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.3a: Read, write, or select a decimal to the hundredths place.
MAFS.5.NBT.1.AP.3b: Compare two decimals to the hundredths place, whose values are less than 1.

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

Sample 2 - Fifth Grade Math State Interim Assessment:

This is a State Interim Assessment for fifth grade.

Type: Assessment

Educational Games

Flower Power: An Ordering of Rational Numbers 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

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

Decimals in Expanded Form:

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

Type: Formative Assessment

Comparing Decimals:

In the context of two word problems student are asked to compare decimals using the less than, equal to, and greater than symbols.

Type: Formative Assessment

Decimals in Number Name:

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

Type: Formative Assessment

Decimals in Word and Expanded Form:

Students compare pairs of decimals, one in word form to one in expanded form.

Type: Formative Assessment

Writing and Reading Decimals:

Students are read aloud three 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.

Type: Formative Assessment

Lesson Plans

Just Right Goldilocks’ Café: Temperature:

This is lesson 1 of 3 in the Just Right Goldilocks’ Café unit. This lesson focuses on systematic investigation on getting a cup of coffee to be the “just right” temperature. Students will use temperature probes and code using ScratchX during their investigation.

 

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

Solar Cooking:

This is a 5th grade MEA designed to have students compare different types of solar cookers based on temperature, cook time, dimensions, weight, and customer reviews.

Type: Lesson Plan

Camping Supply Innovators MEA:

Help CSI determine the best canteen model to use by applying an understanding of comparing decimals.

Type: Lesson Plan

Where's Your Place In the Kingdom of Decimals?:

This lesson has activities to review place value to the thousandths place. The teacher creates a kingdom of decimals in the classroom and opposing knights duel with their digits while reviewing the meaning of place value.

Type: Lesson Plan

X-treme Roller Coasters:

This MEA asks students to assist Ms. Joy Ride who is creating a virtual TV series about extreme roller coasters. They work together to determine which roller coaster is most extreme and should be featured in the first episode. Students are presented with research of five extreme roller coasters and they must use their math skills to convert units of measurements while learning about force and motion.

Type: Lesson Plan

Building a Better Baseball Team:

In this MEA activity, students will be comparing and contrasting whole and decimal numbers in order to recruit a baseball player(s).

Type: Lesson Plan

Decimals Have a Point!:

This 5E lesson provides a framework for students to manipulate and understand the relationships between decimal place values through the thousandths. Students will have the opportunity to work with a concrete model that they will then use in a pictorial sense. This lesson is designed to be spread over 2, 45-minute sessions.

Type: Lesson Plan

Batting a Thousand(th):

This 5E lesson emphasizes the framework created in the lesson "Decimals Have a Point!" (ID: 30766) in which students to manipulate and understand the relationships between decimal place values through the thousandths. Students will have the opportunity to reference the pictorial model (see attached) to compare two decimals up to thousandths. This lesson is designed to be done in a 60 minute block.

Type: Lesson Plan

Secret Number-Place Value Game:

Students will be able to use decimals through the thousandths place to name numbers between whole numbers through the use of number generators and critically thinking about where to place numbers on a place value chart.

Type: Lesson Plan

Predicting the decimal equivalent for a fraction - terminating or repeating?:

This lesson encourages students to make an important discovery. Will a given fraction yield a terminating or repeating decimal? Discussion includes why knowing this is important. The lesson is structured to allow exploration, discovery, and summarization.

Type: Lesson Plan

Tacking on Decimals:

This lesson involves writing, reading and comparing decimals. It is a review of place value, and a Swat game at the end for skills practice.

Type: Lesson Plan

Vending Machine Snacks:

In this MEA, students are challenged to choose the snacks that will be in a vending machine in a school. Students will need to multiply and divide whole numbers and decimal numbers as well as compare fractions and decimal numbers. Students will work in groups to solve the problem and write a letter to the client explaining their thinking.

Type: Lesson Plan

Original Student Tutorial

Cracking the Decimal Code:

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

Tutorial

Comparing Two Decimals to Thousandths:

This Khan Academy tutorial video presents using place-value to compare two decimals expressed to thousandths.

Type: Tutorial

STEM Lessons - Model Eliciting Activity

Building a Better Baseball Team:

In this MEA activity, students will be comparing and contrasting whole and decimal numbers in order to recruit a baseball player(s).

Camping Supply Innovators MEA:

Help CSI determine the best canteen model to use by applying an understanding of comparing decimals.

Solar Cooking:

This is a 5th grade MEA designed to have students compare different types of solar cookers based on temperature, cook time, dimensions, weight, and customer reviews.

Vending Machine Snacks:

In this MEA, students are challenged to choose the snacks that will be in a vending machine in a school. Students will need to multiply and divide whole numbers and decimal numbers as well as compare fractions and decimal numbers. Students will work in groups to solve the problem and write a letter to the client explaining their thinking.

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.

X-treme Roller Coasters:

This MEA asks students to assist Ms. Joy Ride who is creating a virtual TV series about extreme roller coasters. They work together to determine which roller coaster is most extreme and should be featured in the first episode. Students are presented with research of five extreme roller coasters and they must use their math skills to convert units of measurements while learning about force and motion.

MFAS Formative Assessments

Comparing Decimals:

In the context of two word problems student are asked to compare decimals using the less than, equal to, and greater than symbols.

Decimals in Expanded Form:

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

Decimals in Number Name:

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

Decimals in Word and Expanded Form:

Students compare pairs of decimals, one in word form to one in expanded form.

Writing and Reading Decimals:

Students are read aloud three 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

Cracking the Decimal Code:

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

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

Original Student Tutorial

Cracking the Decimal Code:

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

Flower Power: An Ordering of Rational Numbers 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

Tutorial

Comparing Two Decimals to Thousandths:

This Khan Academy tutorial video presents using place-value to compare two decimals expressed to thousandths.

Type: Tutorial

Parent Resources

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