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Multiplication Matrix

MultiplicationGrades 3–4 ⏱ ~15 min

Welcome to the Multiplication Matrix Factory! Tap on the grid to select an array that matches the build order. For example, if the order is 4 × 3, tap the cell at row 4, column 3 to select that array. The cells will light up to show you the 4 × 3 block. Then choose the correct product from the answer tiles below. Get enough correct and you will complete a robot! Can you build all the robots?

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How to play

A robot factory needs new robots assembled, and each robot is built from a multiplication array. You're shown a target product and a grid; tap to draw a rectangle whose area equals the product (3×4 for 12, 5×6 for 30). Correct arrays click into place and assemble a robot; wrong arrays gently flash and let you redraw. Products span from 2×2 up through 9×9 across a session.

What your child will learn

  • Build multiplication fluency
  • Understand multiplication using arrays
  • Apply multiplication properties

Skills practiced

  • Pattern recognition
  • Mental math
  • Multiplicative reasoning

Why this age range

Best in grades 3–4 because that's when multiplication is introduced and consolidated. The game presumes the child has skip-counting fluency in 2s, 5s, and 10s, which arrives by the end of second grade in standard curricula.

Curriculum standards

  • CCSS.MATH.3.OA.C.7
  • CCSS.MATH.3.OA.A.1

Notes for parents

The single most important idea in primary multiplication is that 3×4 and 4×3 are the same. Children who only know the times-table chant don't always know this, and it's the foundation of the commutative property and of all multiplication strategies. Multiplication Matrix shows it visually — drawing 3×4 and rotating it gives 4×3 with the same area. Watch for the moment your child notices.