 # Standard 1 : Generalize place value understanding for multi-digit whole numbers. (Major Cluster) (Archived)

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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.

### General Information

Number: MAFS.4.NBT.1
Title: Generalize place value understanding for multi-digit whole numbers. (Major Cluster)
Type: Cluster
Subject: Mathematics - Archived
Domain-Subdomain: Number and Operations in Base Ten

#### Related Standards

This cluster includes the following benchmarks
 Code Description MAFS.4.NBT.1.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division. MAFS.4.NBT.1.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. MAFS.4.NBT.1.3: Use place value understanding to round multi-digit whole numbers to any place.

#### Related Access Points

This cluster includes the following access points.

#### Access Points

 Access Point Number Access Point Title MAFS.4.NBT.1.AP.1a: Compare the value of a digit when it is represented in a different place of two three-digit numbers (e.g., The digit 2 in 124 is ten times the digit 2 in 472). MAFS.4.NBT.1.AP.2a: Compare multi-digit numbers. MAFS.4.NBT.1.AP.2b: Write or select the expanded form for a multi-digit number. MAFS.4.NBT.1.AP.3a: Use a hundreds chart or number line to round to any place (i.e., ones, tens, hundreds, thousands). MAFS.4.NBT.1.AP.2c: Understand the role of commas to read and write numerals between 1,000 and 1,000,000.

#### Related Resources

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

#### Original Student Tutorials

 Name Description 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. 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! 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. 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. 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.

#### Educational Games

 Name Description 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. Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals. Multiplication/Division: The multiplication and addition of whole numbers. Percentages: Identify the percentage of a whole number. Fractions: Multiply and divide a whole number by a fraction, as well as apply properties of operations. 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!

#### Formative Assessments

 Name Description 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. Rounding To The Hundred Thousands Place: Students are asked to round four numbers to the hundred thousands place and explain their reasoning. Rounding To Ten Thousands Place: Students are asked to round four numbers to the ten thousands place and explain their reasoning. Base Ten Place Value: Students are given opportunities to explain the relationship between place value and the power of ten in multiplying and dividing. Reading Greater Numbers: Students are asked to read aloud several numbers that are greater than one thousand. Rounding Numbers: Students are asked to round four numbers to different places and explain their reasoning. Numbers In Expanded Form: Students are asked to write numbers in both standard form (as base ten numerals) and expanded form. 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. 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). Seven Hundred Seventy Seven: Students are asked to consider the number 777 and how each of the digits in the number are related. 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. Using Word and Expanded Form: Students compare two numbers, one given in word form and the other given in expanded form. Rounding to the Thousands Place: Students are asked to round four numbers to the thousands place and explain their reasoning

#### Lesson Plans

 Name Description Ordering 4-digit numbers: It is common for students to compare multi-digit numbers just by comparing the first digit, then the second digit, and so on. This task includes three-digit numbers with large hundreds digits and four-digit numbers with small thousands digits so that students must infer the presence of a 0 in the thousands place in order to compare. It also includes numbers with strategically placed zeros and an unusual request to order them from greatest to least in addition to the more traditional least to greatest.

#### Tutorials

 Name Description Regrouping Numbers: 4,500 = 3 thousands + ? hundreds: In this tutorial, you will look at regrouping a number by different place values. 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.

#### Student Resources

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

#### Original Student Tutorials

 Title Description 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. 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! 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. 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. 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.

#### Educational Games

 Title Description 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. Addition/Subtraction: The addition and subtraction of whole numbers, the addition and subtraction of decimals. Multiplication/Division: The multiplication and addition of whole numbers. Percentages: Identify the percentage of a whole number. Fractions: Multiply and divide a whole number by a fraction, as well as apply properties of operations. 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!

 Title Description Ordering 4-digit numbers: It is common for students to compare multi-digit numbers just by comparing the first digit, then the second digit, and so on. This task includes three-digit numbers with large hundreds digits and four-digit numbers with small thousands digits so that students must infer the presence of a 0 in the thousands place in order to compare. It also includes numbers with strategically placed zeros and an unusual request to order them from greatest to least in addition to the more traditional least to greatest.

#### Tutorials

 Title Description Regrouping Numbers: 4,500 = 3 thousands + ? hundreds: In this tutorial, you will look at regrouping a number by different place values. 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.

#### Parent Resources

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