# MA.2.NSO.1.3

Plot, order and compare whole numbers up to 1,000.

### Examples

The numbers 424, 178 and 475 can be arranged in ascending order as 178, 424 and 475.

### Clarifications

Clarification 1: When comparing numbers, instruction includes using a number line and using place values of the hundreds, tens and ones digits.

Clarification 2: Within this benchmark, the expectation is to use terms (e.g., less than, greater than, between or equal to) and symbols (<, > or =).

General Information
Subject Area: Mathematics (B.E.S.T.)
Strand: Number Sense and Operations
Status: State Board Approved

## Benchmark Instructional Guide

### Terms from the K-12 Glossary

• Cardinality Principle
• Natural Number

### Vertical Alignment

Previous Benchmarks

Next Benchmarks

### Purpose and Instructional Strategies

The purpose of this benchmark is to extend the place value work of plot, order and compare from grade 1 by increasing the number set to 1,000.
• Instruction includes the use of numbers presented in multiple ways and different forms.
• Instruction includes the understanding that the value of a digit is impacted by its position in a number.
• Instruction includes the use of place value charts, place value cards, place value disks, place value chips and base ten blocks (MTR.2.1).
• Instruction includes the use of number lines using benchmark numbers to support comparing.
• Instruction includes the understanding that numbers can be reordered in both ascending and descending order.

### Common Misconceptions or Errors

• Students may incorrectly plot a three-digit numbers in a number line.
• Students may not understand that a representation of a smaller portion of a number line (200 − 220) may have the same physical size as a representation of a larger number line (0 − 1,000).
• Students may have difficulty comparing two numbers that have the same digits in a different order (i.e., 852 and 582).

### Strategies to Support Tiered Instruction

• Instruction includes the use of a hundreds chart and base ten blocks. Teacher shares two numbers that have the same digits, but the numbers are in different places.
• For example, using numbers like 852 and 582, the students build the two numbers on place value charts. Teacher has students write the number under each of the base ten blocks representation. With the visual representation of the numbers available, ask which number is greater and which number has fewer of each of the base ten blocks. If students identify the incorrect number, teacher points out that there is a greater number of hundreds/flats in 852 than in 582.

Provide students with five numerals (i.e., 1, 8, 5, 4 and 0).
• Part A. Create four different three-digit numbers that have a 4 in the hundreds place.
• Part B. Arrange the numbers created in order from greatest to least. Explain why which number is the greatest.
• Part C. Using two of the numbers created from Part A, write a statement using > or < to compare.

### Instructional Items

Instructional Item 1

Use the number line below to plot the numbers 234, 247, 205.

Instruction Item 2

Use <, > or = to make the comparison statement 567 __ 576 true.

*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.
5012040: Mathematics - Grade Two (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7712030: Access Mathematics Grade 2 (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2022, 2022 and beyond (current))
5012005: Foundational Skills in Mathematics K-2 (Specifically in versions: 2019 - 2022, 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.2.NSO.1.AP.3: Plot, order and compare whole numbers up to 100.

## Related Resources

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

## Formative Assessments

Using Digits:

Students randomly pull five cards from a set of digit cards and use them to make the greatest and least three-digit numbers possible. They are also asked to use the greater than or less than symbols to compare the two numbers.

Type: Formative Assessment

Who Has More?:

Students are asked to compare two numbers used in a word problem and to write an inequality statement showing the relationship between the numbers.

Type: Formative Assessment

Inequalities Using Symbols:

Students are asked to compare numbers and then use the greater than, less than, or equal to symbols to complete inequality statements.

Type: Formative Assessment

Missing Digits:

Students are asked to compare numbers with missing digits and explain their reasoning.

Type: Formative Assessment

## Lesson Plans

Comparing Three-Digit Numbers Using Symbols:

In this lesson, students will use base ten blocks to model two and three-digit numbers and compare two-digit numbers to three-digit numbers and three-digit numbers to three-digit numbers using < and >.

Type: Lesson Plan

Pop, Pop, Pop!:

Students will research the effects of sugary drinks on their health.  They will interpret data on a variety of beverages presented in the form of bar graphs and decide which beverages should be included in school vending machines to ensure students have healthy drink options.

Type: Lesson Plan

Less Than, Equal to, or Greater Than?:

In this lesson, students move from comparing three-digit numbers built with base ten blocks to comparing three-digit numbers based on their place value. Students will use the greater than, less than, or equal sign to compare their values.

Type: Lesson Plan

Water Parks Galore!:

In this Model Eliciting Activity, MEA, students will devise a procedure, and justify it, in order to determine the best features of a water park. Students will use problem-solving skills and data sets presented in a bar graph and table. In a “twist,” students will be given new information and asked to determine whether their procedure still works. Students will create a bar graph representing the new data.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Class Pets:

In this Model Eliciting Activity, MEA, students will devise a plan for ranking, and justify it, in order to choose the best class pet. Students will use problem-solving skills, interpret data presented in tables, add two-digit numbers, compare two and three-digit numbers, and create bar graphs.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Crazy Crayons!:

In teams, students will make a decision on how to select the best crayons for a school supply store based on various crayon characteristics such as cost, transfer to paper, vibrancy of color, color residue, and breakage.

Type: Lesson Plan

Cellular Satisfaction:

In this Model Eliciting Activity, MEA, a client is searching for the best cell phone carrier. Students will determine a procedure for ranking the companies based on votes for the favorite company and fees. The data is given in a scaled bar graph and a table. In a “twist,” the client provides more data, presented in a scaled pictograph, for the students to consider.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

In this Model Eliciting Activity, MEA, students have been selected by the cafeteria manager to help rank healthy meal options that have been proposed to be added to the school cafeteria. The students will use information about the food and drink included in the meal, total calories, sodium content, calories from saturated fat, and calories from sugar to come up with a procedure for ranking the meal options. Then students will have to use or adapt their original procedures to include two more meal options in the rankings.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Chocolate Delight:

In this Model Eliciting Activity, MEA, Chocolate Delight, a chocolate bar company, wants to improve its sales to elementary students by creating a healthy chocolate bar. They have tested 5 new recipes and need to determine which candy bar is best for children. The students will determine a procedure for ranking the recipes from best to worst based on the following criteria: healthiness, taste, and nut allergies and make a recommendation of the healthiest recipe to Chocolate Delight.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Best Classroom Pet:

In this Model Eliciting Activity, MEA, the students will work in teams to use data to determine which classroom pet teachers should get for their classrooms based on several characteristics.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Symbol Spin:

This lesson puts a spin on comparing three-digit numbers! The students will work cooperatively to compare two three-digit numbers based on the hundreds, tens, and ones place values. The students are encouraged to verbally explain their logic during the game. This is a lesson that will engage your students and can last all week long!

Type: Lesson Plan

Less Could Be More!:

This lesson helps teachers introduce the concept of comparing two numbers up to 1,000 using the terms Greater than, Less than, Equal to, and the symbols >, <, =.

Type: Lesson Plan

How Can You Compare Two 3-Digit Numbers?:

Students will use base-ten blocks, drawings, or place value charts to compare two 3-digit numbers Students will use the <,>, = symbols correctly when comparing numbers.

Type: Lesson Plan

Comparing Two 3-Digit Numbers:

This whole-class lesson will reinforce the concept of comparing two 3-digit numbers as well as provide practice for students to become comparing experts. Students will use playing cards to practice their skills.

Type: Lesson Plan

Comparing Three-Digit Numbers:

The students use place value to compare two three-digit numbers and write the appropriate symbol >, =, <.

Type: Lesson Plan

How Many Inches, Feet, and Yards?:

Students will measure the length of given objects using various measuring tools. The students will record their measurements using different units including inches, feet, and yards to the nearest whole unit. Students will also estimate and measure the lengths of objects, then compare their estimations to their measurements to find the difference.

Type: Lesson Plan

Number Chompers:

In this lesson, students will compare whole numbers up to 1,000, use the appropriate symbol, and read the comparison correctly.

Type: Lesson Plan

## Original Student Tutorial

Tale of the Tallest Skyscraper:

Learn how to compare three-digit numbers using place value models, number lines and place value charts in this interactive tutorial.

Type: Original Student Tutorial

Comparisons 2:

The purpose of this task if for students to gain a better understanding of <,=,> with the help of number sentences.

</,=,>

Digits 2-5-7:

Students who are struggling to build an understanding of the relationship between digit placement and the value of the number may still need concrete manipulatives such as grid paper and Base Ten Blocks. As a classroom extension, after students have worked independently or in small groups to solve the problem, the teacher can ask students to share their numbers, until all six possibilities are listed. Then, independently or as a whole group, students can order the six numbers from smallest to largest (or largest to smallest).

Ordering 3-digit numbers:

The purpose of this task is for students to gain a better understanding of 3-digit numbers and their place value.

Comparisons 1:

This task requires students to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers. Some students might need to write the equivalent numeral as an intermediate step to solving the problem.

## STEM Lessons - Model Eliciting Activity

Best Classroom Pet:

In this Model Eliciting Activity, MEA, the students will work in teams to use data to determine which classroom pet teachers should get for their classrooms based on several characteristics.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Cellular Satisfaction:

In this Model Eliciting Activity, MEA, a client is searching for the best cell phone carrier. Students will determine a procedure for ranking the companies based on votes for the favorite company and fees. The data is given in a scaled bar graph and a table. In a “twist,” the client provides more data, presented in a scaled pictograph, for the students to consider.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Chocolate Delight:

In this Model Eliciting Activity, MEA, Chocolate Delight, a chocolate bar company, wants to improve its sales to elementary students by creating a healthy chocolate bar. They have tested 5 new recipes and need to determine which candy bar is best for children. The students will determine a procedure for ranking the recipes from best to worst based on the following criteria: healthiness, taste, and nut allergies and make a recommendation of the healthiest recipe to Chocolate Delight.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Class Pets:

In this Model Eliciting Activity, MEA, students will devise a plan for ranking, and justify it, in order to choose the best class pet. Students will use problem-solving skills, interpret data presented in tables, add two-digit numbers, compare two and three-digit numbers, and create bar graphs.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Crazy Crayons!:

In teams, students will make a decision on how to select the best crayons for a school supply store based on various crayon characteristics such as cost, transfer to paper, vibrancy of color, color residue, and breakage.

Pop, Pop, Pop!:

Students will research the effects of sugary drinks on their health.  They will interpret data on a variety of beverages presented in the form of bar graphs and decide which beverages should be included in school vending machines to ensure students have healthy drink options.

In this Model Eliciting Activity, MEA, students have been selected by the cafeteria manager to help rank healthy meal options that have been proposed to be added to the school cafeteria. The students will use information about the food and drink included in the meal, total calories, sodium content, calories from saturated fat, and calories from sugar to come up with a procedure for ranking the meal options. Then students will have to use or adapt their original procedures to include two more meal options in the rankings.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

Water Parks Galore!:

In this Model Eliciting Activity, MEA, students will devise a procedure, and justify it, in order to determine the best features of a water park. Students will use problem-solving skills and data sets presented in a bar graph and table. In a “twist,” students will be given new information and asked to determine whether their procedure still works. Students will create a bar graph representing the new data.

Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. MEAs resemble engineering problems and encourage students to create solutions in the form of mathematical and scientific models. Students work in teams to apply their knowledge of science and mathematics to solve an open-ended problem, while considering constraints and tradeoffs. Students integrate their ELA skills into MEAs as they are asked to clearly document their thought process. MEAs follow a problem-based, student centered approach to learning, where students are encouraged to grapple with the problem while the teacher acts as a facilitator. To learn more about MEA’s visit: https://www.cpalms.org/cpalms/mea.aspx

## MFAS Formative Assessments

Inequalities Using Symbols:

Students are asked to compare numbers and then use the greater than, less than, or equal to symbols to complete inequality statements.

Missing Digits:

Students are asked to compare numbers with missing digits and explain their reasoning.

Using Digits:

Students randomly pull five cards from a set of digit cards and use them to make the greatest and least three-digit numbers possible. They are also asked to use the greater than or less than symbols to compare the two numbers.

Who Has More?:

Students are asked to compare two numbers used in a word problem and to write an inequality statement showing the relationship between the numbers.

## Original Student Tutorials Mathematics - Grades K-5

Tale of the Tallest Skyscraper:

Learn how to compare three-digit numbers using place value models, number lines and place value charts in this interactive tutorial.

## Student Resources

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

## Original Student Tutorial

Tale of the Tallest Skyscraper:

Learn how to compare three-digit numbers using place value models, number lines and place value charts in this interactive tutorial.

Type: Original Student Tutorial

Comparisons 2:

The purpose of this task if for students to gain a better understanding of <,=,> with the help of number sentences.

</,=,>

Digits 2-5-7:

Students who are struggling to build an understanding of the relationship between digit placement and the value of the number may still need concrete manipulatives such as grid paper and Base Ten Blocks. As a classroom extension, after students have worked independently or in small groups to solve the problem, the teacher can ask students to share their numbers, until all six possibilities are listed. Then, independently or as a whole group, students can order the six numbers from smallest to largest (or largest to smallest).

Ordering 3-digit numbers:

The purpose of this task is for students to gain a better understanding of 3-digit numbers and their place value.

Comparisons 1:

This task requires students to compare numbers that are identified by word names and not just digits. The order of the numbers described in words are intentionally placed in a different order than their base-ten counterparts so that students need to think carefully about the value of the numbers. Some students might need to write the equivalent numeral as an intermediate step to solving the problem.

## Parent Resources

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

Comparisons 2:

The purpose of this task if for students to gain a better understanding of <,=,> with the help of number sentences.

</,=,>

Digits 2-5-7:

Students who are struggling to build an understanding of the relationship between digit placement and the value of the number may still need concrete manipulatives such as grid paper and Base Ten Blocks. As a classroom extension, after students have worked independently or in small groups to solve the problem, the teacher can ask students to share their numbers, until all six possibilities are listed. Then, independently or as a whole group, students can order the six numbers from smallest to largest (or largest to smallest).