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Grade 2 · Multiplication

Recycling-team cans: rows make repeated addition visible

A rectangular arrangement for a recycling station has 6 rows with 5 clean cans in each row. Change the controls and explain what the animation reveals.

Predict what will happen, press Play, then pause and explain what changed. Every control also works without playback.

Watch the relationship

Paused
Recycling-team cans: rows make repeated addition visible. Completed rows: 0. Objects shown now: 0. Full product: 306 × 5 = 300 full rows contain 0 objects.
Rows are equal and disjoint. In an area investigation each tile represents one square unit; a count of square units is not a boundary length.

Starts paused. Play once, pause anywhere, or use Step to inspect the mathematics. Playback stops when this panel leaves the screen.

Make it your experiment

Change one value. Notice what follows.

The controls adjust the model. Numbers below describe the current frame. Decimals are rounded.

Completed rows
0
Objects shown now
0
Full product
30

HD animation studio

From experiment to screen.

Present a crisp Canvas scene, save a full-HD image, or capture your model as a silent video.

Understand what you are seeing

The idea behind the motion.

A rectangular arrangement for a recycling station has 6 rows with 5 clean cans in each row. An array organizes multiplication as equal rows. Changing the order of the factors rotates the organization but preserves the number of individual objects. The complete rectangle contains 30 objects; a missing row would remove exactly 5.

A relationship to keep

6 × 5 = 30 objects

Read the symbols alongside the explanation. A diagram shows the relationship; the assumptions tell you when it applies.

  1. STEP 1

    Read the starting situation

    A rectangular arrangement for a recycling station has 6 rows with 5 clean cans in each row. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Advance the timeline one full row at a time. Compare the running count with the equal size of each completed row. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    The complete rectangle contains 30 objects; a missing row would remove exactly 5. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Recycling-team cans: use the original situation. A rectangular arrangement for a recycling station has 6 rows with 5 clean cans in each row. What total would one additional full row produce?

Use the values specified in the question. Reset restores the initial values for this investigation.

Compare your explanation

35 objects, because 30 + 5 = 35.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 2 · Algebra

Read an array by rows and columns

Represent equal rows as repeated addition.