2.NBT.A.3 - About the Math, Learning Targets, and Increasing Rigor

Grade 2 Number Concepts

2.NBT.A.3

About the Math

Full Standard

Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

2nd Grade Students Learning 2nd Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

Report Card Measurement Topic: Demonstrates understanding of number concepts and relationships

  
1st Grade Students Learning 2nd Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

Report Card Measurement Topic: Demonstrates understanding of number concepts and relationships

  

 

About the Math

Skills and concepts below are learning goals for this standard.

  • Read and write numbers up to 1,000 using base-ten numerals (e.g., 234)
  • Read and write numbers up to 1,000 using number names (e.g., two hundred thirty-four).

Our base-ten system is the Hindu-Arabic numeration system that is a positional system which means there are place values. It is based on repeated groupings of ten. Therefore, the system is also known as base ten or decimal numeration system. For example, in the number 64 the 6 represents 6 tens but on the face value the 6 may appear to be 6 ones to students. Larger numbers are read by naming the period of each group. This refers to the hundreds, tens, and ones. 

  • Read and write numbers using expanded form (e.g., 200 + 30 + 4).
  • Decompose numbers using expanded form.

Students must know how to write numbers in expanded form. This understanding supports the development of flexible computation strategies. It will be specifically used for finding partial sums of two and three-digit numbers. 

  • Record number decompositions in various ways (i.e. 234 as 230 + 4, 199 + 35, 200 + 34, or 225 + 14)

There are an infinite number of ways to decompose numbers. Students should be comfortable decomposing numbers in various, useful ways. The examples noted above are some of the more useful. Students should also be able to note when certain decompositions might be more useful. For example, when adding 230 + 276 it's useful to think of 276 as 206 + 70 so that 230 + 276 can be thought of as 300 + 206.

Essential vocabulary for this standard includes  place value, expanded form, decomposition, base-ten numerals, digit , and numerals. 

 

 

Progression of Standard within Grade 2

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
  • Read and write numbers up to 1,000 using base-ten numerals (e.g., 234)
  • Read and write numbers up to 1,000 using number names (e.g., two hundred thirty-four).
  • Read and write numbers using expanded form (e.g., 200 + 30 + 4).
  • Decompose numbers using expanded form.
  • Record number decompositions in various ways (i.e. 234 as 230 + 4, 199 + 35, 200 + 34, or 225 + 14)
 *Revisit this standard throughout the year through routines, independent practice, discussions, and other activities. *Revisit this standard throughout the year through routines, independent practice, discussions, and other activities. *Revisit this standard throughout the year through routines, independent practice, discussions, and other activities.

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 1 Grade
  • Understand that the two digits of a two-digit number represent amounts of tens and ones (1.NBT.2)

This concept is not taught after Grade 2. Students are expected to apply the standard proficiently.

 

 

 

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Instructional Tasks

TASKS

These tasks can be used with small group or whole group instruction. 

  • Display a three-digit number in numeral form and have students state the number. Next, say a three-digit number and have students write the number in numeral form. This can be repeated by displaying a number in word form and having students write the number in numeral form.
  • Pick three digit cards. Create a three-digit number. Represent the three-digit number using base ten blocks (or another base ten manipulative). Record your number in expanded form. In upcoming turns, students could record the number in word form or draw a model.
  • Pose the number 47. Have students represent the number using base ten blocks (or another base ten manipulatives) two different ways. Write the different representations on the board. Ask what do you notice? Pose more two-digit numbers then use three-digit numbers as appropriate.
  • Show the representation of 382 using 3 hundreds, 8 tens, and 2 ones. Have students use base ten blocks (or another base ten manipulatives) to build it another way. Ask what do you notice?
  • Write 3 numbers where the digit in the tens place is 2 more than the ones place.
  • Write the expanded form for a number that is 10 more than 281.
  • Write the expanded form for a number that is 100 more than 546.
  • List all the different numbers you can make between 400 and 450 that have a 2 in the tens place.  With a 2 in the ones place?
  • Using the digits 8, 3, and 7, make the largest possible number. Make the smallest possible number.
  • A two-digit number has more ones than tens. What could the number be? Name five possibilities.

 

 

Slide-Based Tasks 

These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.

Module 2 • Place Value

Read, Write, and Represent Numbers to 1,000 in Different Forms:

Decompose Number to 1,000 Using Expanded Form:

Record Decompositions in Different Ways:

 

 

Additional Tasks 

These links provide instructional ideas connected to this standard. [NOTE: NCTM membership required for access to Illuminations lessons.]

 

Tasks From Print Resources

These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.

Print Resources
Book Thumbnail Book Title Grade Pages
Teaching Student-Centered Mathematics K-3 134 (Base-Ten Riddles, Activity 5.6)
140 (Say It/Press It, Activity 5.14)
140 (Show It/ Press It, Activity 5.15)
140 (Digit Change, Activity 5.16)

Hands-On Standards

 

 3-4 16-17 (Writing Numbers in Different Forms)
18-19 (Represent Numbers)

Groundworks Reasoning with Numbers

 2 56-63 (House Numbers)
7 (Mystery Number)

Brain Compatible Activities for Mathematics,

 2-3 2-3 (Jumping Jellybeans)
4-6 (Hundred Board-O)
14-17 (Stretching Out Numbers)
18-19 (Place Value Pause)
20-22 (Place Value Bingo)

Roads to Reasoning

 2 39 (Mystery Number)
35 (It's a Mystery)

Math In Practice

Teaching Second-Grade Math

 2 Module 4

 

 

 

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Independent Work

Centers

These print resources can be used during independent or center time. These resources could also be used as lesson seeds.

 

 

INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT

 These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.

 

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Assessment

Full Standard

Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

 

Measurement Topic

The standard is reported on the report card through these measurement topics. Expand the measurement topic for a description of what students who meet expectation are able to do.

 

2nd Grade Students Learning 2nd Grade Standards by Measurement Topic

Demonstrates understanding of number concepts and relationships

 Quarter 1

  • Read and write numbers up to 1,000 using base-ten numerals, number names, and expanded form.

 

1st Students Learning 2nd Grade Standards by Measurement Topic

Demonstrates understanding of number concepts and relationships

 Quarter 1

  • Read and write numbers up to 1,000 using base-ten numerals, number names, and expanded form.

 

2NBT3 Anecdotal Data Collection Tool Links to an external site.

Visit the SBIR (Standards Based Instruction and Reporting) page in Course Essentials for more information and clarification. 

 

Rubric (for thinking and reasoning evidence)

Use this rubric for observation and constructed responses (tasks that require explanation, justification, and/or representation).

Screenshot 2023-06-12 104305.png

Rubric for Tasks (pdf) Links to an external site.

 

Exemplars for this standard

Use the links below to access a task for this standard as well as student work samples that are examples of what it might look like for a student who MEETS EXPECTATIONS, is MAKING PROGRESS, and/or is MAKING LIMITED/NO PROGRESS.

2NBT3 Read Write Represent Three Digit Numbers Various Forms

 

 

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