 Mathematics Grade 2

Strand: NUMBER AND OPERATIONS IN BASE TEN (2.NBT)

Understand place value (Standards 2.NBT.1�4). They use place value understanding and properties of operations to add and subtract (Standards 2.NBT.5�9).

Standard 2.NBT.1

Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; for example, 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:

• Boxes and Cartons of Pencils
In this task students are given information about quantities of pencils packed in boxes and cartons and asked to solve problems such as "Jem has 1 carton and 4 boxes. How many pencils does Jem have all together?"
• Bundling and Unbundling
In this task students determine the number of hundreds, tens and ones that are necessary to write equations when some digits are provided. The student must, in some cases, decompose hundreds to tens and tens to ones.
• 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.
• Grade 2 Math Module 3: Place Value, Counting, and Comparison of Numbers to 1,000 (EngageNY)
In this 25-day Grade 2 module, students expand their skill with and understanding of units by bundling ones, tens, and hundreds up to a thousand with straws. Unlike the length of 10 centimeters in Module 2, these bundles are discrete sets. One unit can be grabbed and counted just like a banana-1 hundred, 2 hundred, 3 hundred, etc. A number in Grade 1 generally consisted of two different units, tens and ones. Now, in Grade 2, a number generally consists of three units: hundreds, tens, and ones. The bundled units are organized by separating them largest to smallest, ordered from left to right. Over the course of the module, instruction moves from physical bundles that show the proportionality of the units to non-proportional place value disks and to numerals on the place value chart.
• Grade 2 Unit 1: Extending Base Ten Understanding (Georgia Standards)
In this unit, students will understand the value placed on the digits within a three-digit number, recognize that a hundred is created from ten groups of ten, use skip counting strategies to skip count by 5s, 10s, and 100s within 1,000 and represent numbers to 1,000 by using numbers, number names, and expanded form, compare two-digit number using >, =, <.
• Largest Number Game
In this task students are told "Dona had cards with the numbers 0 to 9 written on them. She flipped over three of them. Her teacher said: 'If those three numbers are the digits in another number, what is the largest three-digit number you can make?'" Students should be asked to think through possibilities and then draw on their ability to compare three digit numbers to complete the task.
• Looking at Numbers Every Which Way
This task gives students the opportunity to work with multiple representations of base-ten numbers. The standard asks students to read and write numbers to 1000 using base-ten numerals, number names, and expanded form. This task addresses all of these and extends it by asking students to represent the numbers with pictures and on the number line.
• Making 124
Not all students have seen base-ten blocks. This task should only be used with students who know what they are or have some on-hand to use themselves. Students are asked explain how they found all the possible ways to make 124 using base-ten blocks.
• Number and Operations in Base Ten (2.NBT) - Second Grade Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for Second Grade Mathematics - Number and Operations in Base Ten (2.NBT)
• One, Ten, and One Hundred More and Less
This task acts as a bridge between understanding place value and using strategies based on place value for addition and subtraction. Within the classroom context, this activity can be differentiated using numbers that are either simpler or more difficult to manipulate across tens and hundreds.
• 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.
• 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.
• Ten \$10s make \$100
This task uses one, ten, and one-hundred dollar bills to help students think about bundling by ten.
• 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. http://www.uen.org - in partnership with Utah State Board of Education (USBE) and Utah System of Higher Education (USHE).  Send questions or comments to USBE Specialist - Tricia French and see the Mathematics - Elementary website. For general questions about Utah's Core Standards contact the Director - Jennifer Throndsen.

These materials have been produced by and for the teachers of the State of Utah. Copies of these materials may be freely reproduced for teacher and classroom use. When distributing these materials, credit should be given to Utah State Board of Education. These materials may not be published, in whole or part, or in any other format, without the written permission of the Utah State Board of Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah 84114-4200.