# Standard 1: Understand place value for multi-digit numbers.

General Information
Number: MA.4.NSO.1
Title: Understand place value for multi-digit numbers.
Type: Standard
Subject: Mathematics (B.E.S.T.)
Strand: Number Sense and Operations

## Related Benchmarks

This cluster includes the following benchmarks.

## Related Access Points

This cluster includes the following access points.

## Access Points

MA.4.NSO.1.AP.1
Explore how the value of a digit in a multi-digit whole number changes if the digit moves one place to the left.
MA.4.NSO.1.AP.2
Read and generate numbers from 0 to 10,000 using standard form and expanded form.
MA.4.NSO.1.AP.3
Plot, order and compare multi-digit whole numbers up to 10,000.
MA.4.NSO.1.AP.4
Round whole numbers from 100 to 10,000 to the nearest 1,000 with visual support.
MA.4.NSO.1.AP.5
Using visual models, compare decimals less than one up to the hundredths.

## Related Resources

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

## Educational Game

Estimator Quiz:

In this activity, students are quizzed on their ability to estimate sums, products, and percentages. The student can adjust the difficulty of the problems and how close they have to be to the actual answer. This activity allows students to practice estimating addition, multiplication, or percentages of large numbers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

## Formative Assessments

Using Models to Compare Decimals:

Students are asked to compare decimals by drawing a visual model and record the comparison using the less than, greater than, or equal to symbol.

Type: Formative Assessment

Comparing Decimals in Context:

Students are asked to compare two pairs of decimals in the context of word problems and to record a comparison using an inequality symbol.

Type: Formative Assessment

Comparing Four Tenths:

Students are asked to consider two grids with different sized wholes and determine if both models show four-tenths.

Type: Formative Assessment

Compare Decimals:

Students are asked to compare four pairs of decimals using the less than, greater than, or equal to symbols.

Type: Formative Assessment

Comparing Amounts of Baseball Cards:

Students are asked to compare the value of the digit three in 35 baseball cards to the value of the digit three in 350 baseball cards.

Type: Formative Assessment

Base Ten Place Value:

Students are given opportunities to explain the relationship between place value and the power of ten in multiplying and dividing.

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

Students are asked to read aloud several numbers that are greater than one thousand.

Type: Formative Assessment

Rounding Numbers:

Students are asked to round four numbers to different places and explain their reasoning.

Type: Formative Assessment

Numbers In Expanded Form:

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

Type: Formative Assessment

Collections:

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

Type: Formative Assessment

Writing Number Names to a Million:

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

Type: Formative Assessment

Seven Hundred Seventy Seven:

Students are asked to consider the number 777 and how each of the digits in the number are related.

Type: Formative Assessment

Family Vacations:

Students are given three-digit numbers in the context of a word problem and are asked to tell how much greater the digit in the tens place is than the digit in the ones place.

Type: Formative Assessment

Using Word and Expanded Form:

Students compare two numbers, one given in word form and the other given in expanded form.

Type: Formative Assessment

Rounding to the Thousands Place:

Students are asked to round four numbers to the thousands place and explain their reasoning

Type: Formative Assessment

## Lesson Plans

Population Parity Lesson 3:

Students will find the sum of the populations of the counties in two congressional districts in Florida to determine why population is important when considering representation in the districts. Students will practice estimating sums to check their addition by rounding numbers to the nearest 1,000 in this integrated math lesson.

Type: Lesson Plan

Population Parity Lesson 2:

Students will plot the populations of Florida counties within two congressional districts in ascending order on a number line in this civics integrated math lesson.

Type: Lesson Plan

Order in the School Zone:

Students will learn about school zones, calculate enrollment for a school that is “overcrowded”, and discuss ideas for rezoning to balance enrollments by looking at vacancies in other schools in this integrated lesson plan.

Type: Lesson Plan

Population Parity:

In this integrated lesson plan, students will engage in discussion about a representative government in Florida. They will compare the Florida county map and the Florida Congressional map to predict the fairness of representation and consider why the representation in the district map doesn't match the Congressional map. They will investigate this question by comparing the population size in the counties of each district.

Type: Lesson Plan

10X Bigger!:

In this lesson students will move from constructing concrete models of what happens to a number when you multiply the number by 10 into drawing their own pictorial representations of the same process with numbers up to 1,000. They will develop an understanding of the rule 'a digit in one place represents ten times what it represents in the place to its right' and apply this rule to a variety of situations.

Type: Lesson Plan

Round Me!:

This lesson uses benchmark numbers to help students round to the nearest 10, 100, 1000. This lesson incorporates visuals and the use of the number line in order to help students better understand the concept. Students play a game that reinforces the standard.

Type: Lesson Plan

What's My Value?:

This lesson will allow students to deepen their knowledge in place value. The teacher will use modeling, guided math groups, and independent practice to help students understand that the digit in one place represents ten times what it represents in the place to its right. Students will use base 10 blocks to build numbers and make general observations about the values of numbers. Students will also draw and label models, to make understanding concrete. In groups of 4-5, students will work together and discuss (using discussion questions) to deepen their knowledge on the topic.

Type: Lesson Plan

Terrific Tim’s Ten Tiny Toes:

Students will learn how a digit in one place represents ten times what it represents in the place to its right. Students will model and solve real-world problems on their own and with their friends using word problems, snacks, and their friends' toes!

Type: Lesson Plan

My Digit is Bigger than Your Digit! Comparing Multi-digit Numbers:

In this lesson, the students will explore place value using manipulatives to help them compare multi-digit numbers in the context of the book A Million Dots by Andrew Clements.

Type: Lesson Plan

Replaced Pitcher:

The students will use mathematical skills and problem solving skills to recommend which current starting pitcher will be replaced once one of the pitchers is back on the active roster for the Miami Marlins. They will write a letter on the computer and print it out to respond to the assistant coach's letter.

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 processes. 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 MEAs visit: https://www.cpalms.org/cpalms/mea.aspx

Type: Lesson Plan

Planet Hoppers, Inc: A Space Suit Design Company:

Students are asked to evaluate several space suit designs and select the best design based on given data. Students work in collaborative groups to develop a procedure for selecting the best design and share their ideas with the rest of the class. A twist is introduced and the groups are challenged to test the validity of their procedure.

Type: Lesson Plan

Slither Not in the Everglades! Python MEA:

This MEA will ask students to work in teams to help their client, The Florida Fish and Wildlife Conservation Commission, to decide which Burmese python traps manufacturing company to buy traps from. The traps will be placed along the Florida Keys and the Everglades to help prevent the growth of invasive Burmese Python population. The students will implement their knowledge of how plants, animals, and humans impact the environment, use mathematical and analytical problem-solving strategies, and be able report their finding in an organized, descriptive manner.

Type: Lesson Plan

Cell Phone Inquiry:

Students will determine what cell phone would be the best phone for their teacher to purchase for science class. Factors to consider are price, touch screen, camera, voice command, weight and display size. Students will need to compare decimals to determine how to order and rank the phone brands.

Type: Lesson Plan

Let's Make a Movie:

In this Model Eliciting Activity, MEA, students will add, subtract, and compare multi-digit numbers in order to help a new movie production company decide which genre they should make for their first movie.

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

Comparing and Ordering Decimals:

In this cooperative learning activity, students will have five sets of decimal cards to sort and put in order - least to greatest. The lesson starts with a short whole group activity and then breaks off in to structured groups. The teacher is free to interact with each of the groups and monitor progress, participation, and understanding.

Type: Lesson Plan

The Street Where Place Value Lives:

Students will apply their place value knowledge to connect place value to the millions by relating it to their communities. Students can discuss and write about place value, using their connections.

Type: Lesson Plan

Oh Where, Oh Where, Should I Put You?:

This highly engaging game is played after the unit on place value has been taught. It is designed to allow the student to think about the placement of a number before writing it down, in order to write the largest and/or smallest number.

Type: Lesson Plan

Fourth graders will help Cookies and Treats find cost-effective and eco-friendly packaging for its cookies. Students will organize data and compare prices using decimal notation in order to develop a procedure for choosing packaging for cookies.  Students will use multiplication and division of whole numbers to plan for how many packages to order.

Type: Lesson Plan

Just Hanging A-Round:

In this lesson, students will demonstrate knowledge of rounding up to the 10,000 place value with the aid of a number line.

Type: Lesson Plan

## Original Student Tutorials

Rounding Larger Numbers with Endangered Animals:

Learn how to round larger whole numbers to any place value while exploring endangered species in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills.

Type: Original Student Tutorial

Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial.

Type: Original Student Tutorial

Who's Top Dog, Now? Comparing Numbers:

Learn how to compare numbers using the greater than and less than symbols in this interactive tutorial that compares some pretty cool things!

Type: Original Student Tutorial

Candy Engineer: Place Value:

Read and write multi-digit whole numbers using base-ten numerals and number names using the Base 10 place value system in this interactive tutorial.

Note: this tutorial exceeds the number limits of the benchmark.

Type: Original Student Tutorial

Candy Sales Are Booming! Expanded Notation:

Learn how to write numbers using place value in different forms like standard, word, and expanded notation in this interactive tutorial.

Type: Original Student Tutorial

The Treasure of Aryabhata: Place Value Comparison:

Help solve mysteries built on patterns of ten to discover the treasure of our number system in this interactive student tutorial.

Type: Original Student Tutorial

## Perspectives Video: Teaching Idea

Estimating Decimal Multiplication:

Unlock an effective teaching strategy for teaching decimal multiplication in this Teacher Perspectives video for educators.

Type: Perspectives Video: Teaching Idea

Using Place Value:

Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.

## Tutorials

Regrouping Numbers: 4,500 = 3 thousands + ? hundreds:

In this tutorial, you will look at regrouping a number by different place values.

Type: Tutorial

Comparing Two Decimals with a Visual Model:

In this Khan Academy tutorial video two decimals are compared using grid diagrams.

Type: Tutorial

How to use an abacus (to represent multi-digit numbers):

In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right.

Type: Tutorial

## Student Resources

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

## Original Student Tutorials

Rounding Larger Numbers with Endangered Animals:

Learn how to round larger whole numbers to any place value while exploring endangered species in this interactive tutorial.

Note: this tutorial exceeds clarification limits and is meant as enrichment for students who met the standards to increase problem-solving skills.

Type: Original Student Tutorial

Learn how to locate decimals on a number line and compare decimals to save the Decis from a wizard's spell in this interactive tutorial.

Type: Original Student Tutorial

Who's Top Dog, Now? Comparing Numbers:

Learn how to compare numbers using the greater than and less than symbols in this interactive tutorial that compares some pretty cool things!

Type: Original Student Tutorial

Candy Engineer: Place Value:

Read and write multi-digit whole numbers using base-ten numerals and number names using the Base 10 place value system in this interactive tutorial.

Note: this tutorial exceeds the number limits of the benchmark.

Type: Original Student Tutorial

Candy Sales Are Booming! Expanded Notation:

Learn how to write numbers using place value in different forms like standard, word, and expanded notation in this interactive tutorial.

Type: Original Student Tutorial

The Treasure of Aryabhata: Place Value Comparison:

Help solve mysteries built on patterns of ten to discover the treasure of our number system in this interactive student tutorial.

Type: Original Student Tutorial

## Educational Game

Estimator Quiz:

In this activity, students are quizzed on their ability to estimate sums, products, and percentages. The student can adjust the difficulty of the problems and how close they have to be to the actual answer. This activity allows students to practice estimating addition, multiplication, or percentages of large numbers. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.

Type: Educational Game

Using Place Value:

Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.

## Tutorials

Regrouping Numbers: 4,500 = 3 thousands + ? hundreds:

In this tutorial, you will look at regrouping a number by different place values.

Type: Tutorial

Comparing Two Decimals with a Visual Model:

In this Khan Academy tutorial video two decimals are compared using grid diagrams.

Type: Tutorial

How to use an abacus (to represent multi-digit numbers):

In this tutorial video from Khan Academy, learn to use an abacus to represent multi-digit numbers. This video will explain how the beads on an abacus can each represent ten times the value of the bead to its right.

Type: Tutorial

## Parent Resources

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

Using Place Value:

Each part of this task highlights a slightly different aspect of place value as it relates to decimal notation. More than simply being comfortable with decimal notation, the point is for students to be able to move fluidly between and among the different ways that a single value can be represented and to understand the relative size of the numbers in each place.