By Pamela Martin | Updated Aug 30, 2022
Once first graders grasp place value and basic addition, introducing two‑digit addition—both with and without regrouping—becomes straightforward. Using manipulatives and visual aids makes the transition smooth.
Begin with tangible tools such as counting cubes or craft sticks. Bundle ten sticks with a rubber band to represent a “10s” unit. For example, to solve 13 + 4, place a bundle of ten sticks, add three single sticks, then add four more. Count all sticks to find the sum. Mastery of this hands‑on method prepares students for more abstract work.
Write problems vertically to align the ones and tens columns. Create a T‑chart with “ones” on the right and “tens” on the left. Cover the chart with clear contact paper so you can reuse it. For 11 + 64, record the 1 in each column for 11, then write 4 in the ones column and 6 in the tens column below. This visual separation clarifies the addition process.
Cover the tens column and ask the student to add the ones column only, writing the result beneath the problem. Then uncover the tens column and add those digits in the same way. Demonstrating that two‑digit addition is simply two single‑digit operations helps students internalize the concept.
Repeat the concrete‑to‑abstract sequence, but this time illustrate regrouping with manipulatives. In the T‑chart, add the ones column first. For 17 + 27, 7 + 7 gives 14: write 4 in the ones column and carry the 1 into the tens column. Add the tens digits plus the carry—1 + 1 + 2 + 2 = 6—and record the final result. Show that the carried 10s can be written at the top of the chart, simplifying the addition.
These scaffolded strategies build confidence and ensure first‑grade students master two‑digit addition reliably.