Expanded Path
About This Worksheet
Expanded Path is a second grade addition activity that helps students solve regrouping problems by breaking each addend into tens and ones. Each problem gives two two-digit numbers and space to rewrite them in expanded form before finding the sum. Students add the tens, add the ones, regroup when the ones total 10 or more, and then combine the parts. For example, 47 + 26 can be written as 40 + 7 and 20 + 6 before the partial sums are combined. This gives children a clear written strategy for seeing how place value drives regrouping.
Curriculum and Grade Alignment
This worksheet is intended for second grade learners who are strengthening regrouping through expanded-form reasoning. The main goal is to help students decompose both addends accurately and use the parts to find a total. Before beginning, your child should understand expanded form and know that 10 ones can be regrouped into 1 ten. The next step is using the same place-value thinking more mentally or within the standard algorithm. This activity supports decomposition, partial sums, regrouping, and place-value understanding.
Student Tasks
On this worksheet, students will solve six two-digit addition problems. For each one, they rewrite both numbers as tens plus ones, such as 36 = 30 + 6. They then add the place-value parts and write the final sum. Problems include 36 + 18, 47 + 26, 58 + 17, 29 + 35, 64 + 18, and 39 + 27. Each large box gives students room to show the expanded-form work clearly.
Common Challenges and Misconceptions
Some students may decompose a number incorrectly, such as writing 58 as 5 + 8 instead of 50 + 8. Others may add the tens correctly but lose track when the ones total more than 9. A child may also forget to combine the tens and ones partial sums at the end. Encourage your child to label each part with its place value and say the expanded form aloud. This helps keep the structure of the number clear throughout the problem.
Implementation Guidance
Teachers can use this worksheet after students have practiced regrouping with base-ten models and before expecting full independence with vertical addition. It works well for students who benefit from seeing every place-value step written out. Parents can ask the child to break apart each number before doing any addition. If regrouping occurs, have them rewrite the ones total as a ten and leftover ones. This makes the transition from expanded form to the final sum more understandable.
Details and Features
This worksheet includes six large addition boxes with spaces for expanded form and final totals. The green grid gives students plenty of room to show work without crowding. Every problem involves two-digit addition and encourages decomposition rather than a memorized shortcut. The focused format makes the worksheet useful for strategy practice and intervention. The printable supports expanded form, partial sums, place value, and regrouping.