Multiplication Garden

Plant equal rows and columns of flowers and compare the resulting totals.

Grades 3–5 · Math

Explore one idea

Multiplication Garden

Your goal

Plant 2 rows of 3 flowers.

1 of 3
1 rows of 1 flowers with 1 flowers in all11 equal rows1 in each row1 × 1 = 11 flowers in all

Reduced motion is on. The controls still update the scene.

1 equal rows of 1 flowers make 1 flowers. 1 × 1 = 1.

Adding rows or columns changes the total. Swapping rows and columns keeps every flower and changes the arrangement.

Learn with Multiplication Garden

Multiplication Garden represents multiplication with flowers arranged in equal rows. Change the number of rows and the number of flowers in each row, then connect the array with its multiplication equation and total. Elementary students can use the picture to explain equal groups and compare related arrangements. Guided goals encourage children to reason about factors and products through visible objects, helping multiplication make sense as a structure they can build and count rather than a fact to memorize alone.

What to look for

Keep rows equal

Every row in a rectangular array has the same number of objects.

Count the groups

The number of rows multiplied by the objects in each row gives the total.

Turn the arrangement

Swapping rows and columns changes the arrangement while keeping the total.

For teachers and curious learners

Understand multiplication as equal groups in an array. Ask students to predict what will happen, change one setting, and explain what they observe. Learn gives a starting point. Practice and Challenge offer new goals with the same scene.

The garden uses bounded whole-number rectangular arrays. Each flower counts as one object, and rows and columns remain equally spaced.

Continue with Area Model Multiplication Studio .

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