Build equal groups
Check that each row contains the same number of counters. Three rows of four is not the same arrangement as three counters plus four counters.
Third grade · AT YOUR OWN PACE
An array makes multiplication visible. Children build equal rows of counters, connect the picture to repeated addition, and choose the total. Array Garden focuses on this model; the broader third-grade math route adds division, fractions, measurement, and other skills.
Open Array Garden →Free to play · No required login · Phone, tablet, or computer

Open Array Garden and start an activity. Use the row and counter controls to match the story, then choose the total. The specialist game has eight array challenges. To explore the mixed 100-activity route, use the third-grade math link below.
Check that each row contains the same number of counters. Three rows of four is not the same arrangement as three counters plus four counters.
For three rows of four, count 4 + 4 + 4 = 12 and connect that to 3 × 4 = 12. Say what each number describes in the story.
Turn the array to see four rows of three. The layout changes but the total does not. Ask the child to explain that using the counters, not only by repeating a fact.
There are 3 equal rows. Each row contains 4 counters. Count by fours: 4, 8, 12. The total is 12, so 3 × 4 = 12. Adding 3 + 4 would count the dimensions, not all the counters.
TAKE THE IDEA OFF SCREEN
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5 + 5 = 10 and 2 × 5 = 10; 4 × 3 = 12; possible arrays include 3 × 4, 2 × 6, or 1 × 12.
Practice from Pip’s Classroom · pipsclassroom.com/multiplication-games-for-third-grade/
If the total is incorrect, check the row sizes before asking for a faster answer. Use real counters or draw circles. Once the structure makes sense, practice recalling facts without removing the option to use a model.
Keep the experience flexible. Listen reads fixed instructions; it does not record a child. Help and models offer support, and there is no answer timer. Stars celebrate participation. They do not certify a school standard. Read how progress and evidence work.
There is no answer timer. Listen and Help support the task, and learners can take time to build and explain an array.
Array Garden practices equal rows in eight challenges. The separate 100-activity math route covers a broader mix, but neither is a complete curriculum or a mastery certificate.
Guest progress is associated with this browser’s saved guest identity. Guests sharing this browser share a garden, and clearing cookies can lose access to it. An optional grown-up account carries progress across devices. Drawings and drafts are temporary; they are not saved with stars.