Compose and decompose three-digit numbers in multiple ways using hundreds, tens and ones. Demonstrate each composition or decomposition with objects, drawings and expressions or equations.
The number 241 can be expressed as 2 hundreds + 4 tens + 1 one or as 24 tens + 1 one or as 241 ones.
| Name |
Description |
| Hundreds, and Tens, and Ones! Oh, My! | The students will extend their base-ten understanding to hundreds and represent 3-digit numbers in a variety of ways, using 3-digits, words, base-ten blocks, drawings, and equations. |
| Reading and Writing Numbers and Number Names | Students will demonstrate their understanding of how to read and write numbers to 1000 using base-ten blocks and word form. Students will compose and decompose three-digit numbers in multiple ways using hundreds, tens, and ones. |
| Place Value Representations | This lesson encompasses several activities for learning the place value of three-digit numbers. Students match cards with other students' various representations of the same number. Pairs of students use playing cards and determine the digits' place values. Students find a partner to query about place value after a musical interlude. |
| Shipping Hundreds, Tens, and Ones | In this lesson students use a toy factory scenario to better understand three-digit numbers. |
| Different Ways to Represent 3-Digit Numbers | In this lesson, students will demonstrate their understanding of how to read and write numbers to 1000 using base-ten blocks and expanded form. Students will also explore decomposing 3-digit numbers in multiple ways. |
| Bundles and Combos | This lesson will help students learn that a 3-digit number can be composed of different combinations of hundreds, tens and ones. |
| Odds and Evens | This resource helps students identify numbers as odd or even using a variety of methods including creating pairs, skip counting by two’s, using number lines, and arrays. It also leads them to understand that all even numbers can be written as a sum of equal addends and odds can be written as the sum of equal addends plus one.
This resource can be conducted as one lesson or can be spread over multiple mini sessions if needed as noted within this resource as Lesson 1 and Lesson 2.
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| Place Value - 3 Digit Numbers | Students will decompose numbers by place value and represent them using concrete and pictorial models. |
| Sweet Number Places | This lesson is a continuation of the Sweet Values CPALMS lesson Resource 46493 and is a different way of teaching place value, with a story that you can continue to use to also teach addition and subtraction to your second graders. In this lesson students will learn to numerically represent numbers in different ways and understand that the three digits in a three-digit number represent amounts of hundreds, tens, and ones. |
| Sweet Values | This lesson is a different way of teaching place value, with a story that you can continue to use to also teach addition and subtraction to your second graders. In this lesson students will learn to represent numbers in different ways and understand that the three digits in a three-digit number represent amounts of hundreds, tens, and ones. |
| Name |
Description |
| Three composing/decomposing problems | The purpose of this task is to help students understand composing and decomposing ones, tens, and hundreds. This task is meant to be used in an instructional setting and would only be appropriate to use if students actually have base-ten blocks on hand. |
| Ten $10s make $100 | The purpose of this task is for students to use currency to help better understand place value. |
| Boxes and Cartons of Pencils | This tasks uses school supplies in a problem to help students gain a better understanding of place value. |
| Regrouping | This task serves as a bridge between understanding place-value and using strategies based on place-value structure for addition. Place-value notation leaves a lot of information implicit. The way that the numbers are represented in this task makes this information explicit, which can help students transition to adding standard base-ten numerals. |
| Party Favors | The point of this task is to emphasize the grouping structure of the base-ten number system, and in particular the crucial fact that 10 tens make 1 hundred. Second graders should have been given opportunities to work with objects and pictures that represent the grouping structure of the base-ten number system, which would help prepare them for doing this task. |
| Bundling and Unbundling | Students determine the number of hundreds, tens and ones that are necessary to write equations when some digits are provided. Student must, in some cases, decompose hundreds to tens and tens to ones. The order of the summands does not always correspond to the place value, making these problems less routine than they might seem at first glance. |
| 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. |
| Counting Stamps | This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred. So each sheet contains 100 stamps. If students do not recall this fact readily, one way to review it is to have them draw a strip of ten stamps on graph paper (so they don't have to draw all the individual stamps) and then draw ten strips that are side-by-side to represent a sheet and ask how many stamps there are in one sheet. |
| Name |
Description |
| Three composing/decomposing problems: | The purpose of this task is to help students understand composing and decomposing ones, tens, and hundreds. This task is meant to be used in an instructional setting and would only be appropriate to use if students actually have base-ten blocks on hand. |
| Ten $10s make $100: | The purpose of this task is for students to use currency to help better understand place value. |
| Boxes and Cartons of Pencils: | This tasks uses school supplies in a problem to help students gain a better understanding of place value. |
| Regrouping: | This task serves as a bridge between understanding place-value and using strategies based on place-value structure for addition. Place-value notation leaves a lot of information implicit. The way that the numbers are represented in this task makes this information explicit, which can help students transition to adding standard base-ten numerals. |
| Party Favors: | The point of this task is to emphasize the grouping structure of the base-ten number system, and in particular the crucial fact that 10 tens make 1 hundred. Second graders should have been given opportunities to work with objects and pictures that represent the grouping structure of the base-ten number system, which would help prepare them for doing this task. |
| Bundling and Unbundling: | Students determine the number of hundreds, tens and ones that are necessary to write equations when some digits are provided. Student must, in some cases, decompose hundreds to tens and tens to ones. The order of the summands does not always correspond to the place value, making these problems less routine than they might seem at first glance. |
| 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. |
| Counting Stamps: | This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred. So each sheet contains 100 stamps. If students do not recall this fact readily, one way to review it is to have them draw a strip of ten stamps on graph paper (so they don't have to draw all the individual stamps) and then draw ten strips that are side-by-side to represent a sheet and ask how many stamps there are in one sheet. |
| Name |
Description |
| Three composing/decomposing problems: | The purpose of this task is to help students understand composing and decomposing ones, tens, and hundreds. This task is meant to be used in an instructional setting and would only be appropriate to use if students actually have base-ten blocks on hand. |
| Ten $10s make $100: | The purpose of this task is for students to use currency to help better understand place value. |
| Boxes and Cartons of Pencils: | This tasks uses school supplies in a problem to help students gain a better understanding of place value. |
| Regrouping: | This task serves as a bridge between understanding place-value and using strategies based on place-value structure for addition. Place-value notation leaves a lot of information implicit. The way that the numbers are represented in this task makes this information explicit, which can help students transition to adding standard base-ten numerals. |
| Party Favors: | The point of this task is to emphasize the grouping structure of the base-ten number system, and in particular the crucial fact that 10 tens make 1 hundred. Second graders should have been given opportunities to work with objects and pictures that represent the grouping structure of the base-ten number system, which would help prepare them for doing this task. |
| Bundling and Unbundling: | Students determine the number of hundreds, tens and ones that are necessary to write equations when some digits are provided. Student must, in some cases, decompose hundreds to tens and tens to ones. The order of the summands does not always correspond to the place value, making these problems less routine than they might seem at first glance. |
| 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. |
| Counting Stamps: | This is an instructional task related to deepening place-value concepts. The important piece of knowledge upon which students need to draw is that 10 tens is 1 hundred. So each sheet contains 100 stamps. If students do not recall this fact readily, one way to review it is to have them draw a strip of ten stamps on graph paper (so they don't have to draw all the individual stamps) and then draw ten strips that are side-by-side to represent a sheet and ask how many stamps there are in one sheet. |
