Addition with Packed Blocks - With Regrouping

Practicing addition with packed blocks is extremely valuable for students, because it helps them see how the traditional algorithm works and helps them build confidence in executing the algorithm. The following example has regrouping. Students must be comfortable with addition problems with and without regrouping.

Let’s start with the problem 27 + 18. The first step is to build both numbers with packed blocks.

Next, we must join the two sets of blocks and organize them.

To organize the blocks, we start by packing them as much as possible.

Here we see that we can pack the single blocks to make a new block-of-10.

Now that we are done packing, we organize the blocks according to size and find the digits.