Count for Multiples — PlayThinker

Pick the cell that completes the fact.

How to Play

Select a mode: Multiplication, Division, Division + Remainder, or Mixed.
Watch the grid reshape so the columns represent the second factor or divisor.
Tap the numbered cell that answers the prompt. Products mark the final cell in the array, quotients identify the row, and remainder prompts highlight how far the count spills past a full group.
Advance through ten quick rounds, keeping an eye on the progress bar and accuracy streak.

Knowledge Background

This activity connects repeated addition, equal groups, and measurement division. By stretching or shrinking the grid, students see why the second factor describes columns, how quotients occupy rows, and where remainders live on a number line. The experience reinforces:

Skip counting and multiples of up to 12 × 12.
Area models for multiplication and the inverse nature of division.
Interpreting remainders in context (how many leftover squares are outside the full rectangle).

Why This Helps Kids

Instead of memorizing facts in isolation, learners build mental images tied to arrays. The shifting grid re-trains them to ask “What stays the same? What changes?” They articulate reasoning, evaluate mistakes quickly, and gain confidence switching between operations—a critical fluency for fractions, algebra, and data displays.

Extensions & Teacher Tips

Have students narrate each move (“I counted by 6s, so the 5th row lands on 30”) to strengthen metacognition.
Pair the game with physical tiles or graph paper so learners can recreate any round offline.
Challenge advanced players to predict the grid dimensions before the board appears.
Connect to Explore Multiplication Grid for deeper array exploration or Build Polyominoes to visualize the same products as shapes.