Complete Addition & Subtraction by Partitioning | Grade 2

This worksheet provides focused practice for Grade 2 students on adding and subtracting two-digit numbers using the partitioning strategy. Through a series of carefully scaffolded problems, learners will break numbers into tens and ones, reinforcing their place value understanding and building a foundational strategy for mental math and multi-digit computation.

At a Glance

• Grade: 2 · Subject: Math
• Standard: CCSS.MATH.CONTENT.2.NBT.B.5 — Add and subtract within 100 using place value strategies.
• Skill Focus: Addition and Subtraction by Partitioning
• Format: 5 pages · 12 problems · Answer key included · PDF
• Best For: Guided practice, independent work, formative assessment
• Time: 20–30 minutes

What's Inside

This five-page PDF includes 12 problems that build skills in adding and subtracting by partitioning. The worksheet is split into an addition section and a subtraction section, followed by a mixed bonus challenge. Each problem provides clear visual scaffolds. A complete answer key is included on separate pages.

A Progression to Independence

This worksheet uses a gradual release model.

• Guided Practice: The first problem is a clear model, establishing the routine of splitting tens and ones.
• Supported Practice: The next seven problems continue this structured format for both addition and subtraction, building procedural fluency.
• Independent Practice: The final four "Bonus Challenge" problems require applying the strategy to mixed operations as a check for understanding.

This progression makes it a perfect resource to use after an initial direct instruction lesson.

Standards Alignment

This resource directly aligns with CCSS standard CCSS.MATH.CONTENT.2.NBT.B.5, which focuses on fluently adding and subtracting within 100 using place value strategies. Partitioning is a key strategy that directly supports this standard. It also supports CCSS.MATH.CONTENT.2.NBT.B.9 by helping students explain why their strategies work. Both standard codes can be copied directly into lesson plans or curriculum maps.

How to Use It

Use this versatile sheet for guided practice after a mini-lesson or as independent work in a math center. For a quick formative assessment, observe how students handle the subtraction problems. The clear format allows for focused observation. Most students will complete the 12 problems in a 20- to 30-minute session, making it a manageable and effective task.

Who It's For

Designed for second-graders, this sheet also works as an extension for advanced first graders or a review for third graders. To support learners, pair the worksheet with physical base-ten blocks to provide a concrete model of partitioning. It's an ideal follow-up to a direct instruction lesson on place value addition.

Developing flexible computational strategies based on place value is a critical component of number sense, a finding supported by extensive research synthesized in reports like the RAND AIRS (2024) analysis. This worksheet directly targets this need by focusing on partitioning, a method that helps students decompose numbers to make computation more manageable. By breaking down two-digit numbers into tens and ones, learners move beyond rote algorithms and develop a deeper understanding of how numbers work. This approach is aligned with CCSS.MATH.CONTENT.2.NBT.B.5, which emphasizes using place value strategies to add and subtract fluently within 100. The worksheet's structure provides the repeated, focused practice necessary for students to internalize this strategy, making it a valuable tool for building the conceptual foundation required for more complex, multi-digit arithmetic in later grades.