This worksheet asks a student to do two things with the same set of dots, stars, and crescent moons: write an addition problem for each group, and then go back and turn the repeated ones into multiplication. 

Not easy for a child who has challenges even identifying what “3” is, right?

Two-page educational math worksheet about repeated addition and equal groups. The left page asks students to write addition and multiplication problems based on groups of blue dots, stars, and curved shapes. The right page asks students to describe how many items are in each group, with examples such as “4 dots per group” and blank lines for answers.

What Is Repeated Addition?

We asked Randy Ewart how he'd introduce this worksheet (above) to a student for the first time, starting with the dot groups in the first two rows (upper left).

Randy's first move is to set aside the vocabulary entirely. "The addition symbol and the term 'addition' are not important at this level," he said. "What is important is the concept of pulling quantities together for a greater amount."

Start With Something a Student Can Hold

Before any worksheet, he starts with something a student can hold. "You could present 8 small cookies he can eat and separate them into groups of 3 and 5. Talk about 3 cookies, then 5 cookies. And show them this:

Educational math worksheet showing one group of three blue dots and one group of five blue dots. Below, the equation “3 + 5” is labeled “(this is not repeated addition),” illustrating unequal groups.

Walk Through the Worksheet, Row by Row

Once that concept is in place, the worksheet becomes a script. Row by row, walk through the dots, the stars, and the moons.

Educational diagram showing groups of blue dots in boxes. The top row contains groups of four dots labeled “4 dots per group,” while the bottom row shows groups of three dots with a blank line labeled “___ per group.

Then say: "I have 5 cookies (now dots) and 5 dots and 5 dots, that is 5 + 5 + 5," he said. This is “repeated addition.” 

Educational worksheet asking students to “Write an addition problem for each.” Three groups of five blue dots are shown, with the repeated addition equation “5 + 5 + 5” displayed below.

From there, he hands the pattern to the student. "Now you write out how many stars are in each box," he said, pointing to the first row. 

Educational math worksheet showing four separate groups, each containing three blue stars arranged in a row, illustrating equal groups for repeated addition.

Now do the next row. 

Educational math worksheet showing two groups of blue stars: four stars arranged in a square-like pattern on the left and three stars in a row on the right.

Now do the moons.

Educational math worksheet showing five separate groups, each containing two blue curved shapes, illustrating equal groups for a repeated addition or multiplication exercise.

Repeated vs. Not Repeated — The Whole Lesson in One Distinction

The row of moons above is where the worksheet's lesson shows up. "The 4 + 4 + 4 + 4 +4 is 'repeated addition' — it has 5 FOURS, so write 5 × 4," Randy said. 

"We do this for repeated. That doesn't work for 3 + 5 — it is not repeated."

That distinction — repeated versus not repeated — is the whole worksheet in one sentence. 4 + 4 + 4 + 4 + 4 turns into 4 × 5 because the same number shows up five times. 

This 4 + 3 stays addition because nothing repeats.

Educational math worksheet showing two groups of blue stars: four stars arranged in a square-like pattern on the left and three stars in a row on the right.

A student who can sort a page of dots and stars into those two buckets has the actual concept multiplication is built on, before a single times-table fact enters the picture.

Subscribe

Randy Ewart is an Autism Parent and Math specialist looking to math make accessible for all students. www.specialeducationmathservices.com

Keep Reading

© 2026 Lighthouse.
beehiivPowered by beehiiv