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Grade 2 · Division

Bus-stop counters: deal equal shares and keep leftovers

At a transport model, 36 passenger counters must be shared among 5 recipients. 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
Bus-stop counters: deal equal shares and keep leftovers. Final amount in each share: 7. Final remainder: 1. Distributed so far: 036 shared among 500000Not yet dealt: 36Final: 7 each; 1 remain unshared.
Objects are indivisible and recipients have equal priority. The animation keeps a remainder aside rather than pretending that an unequal allocation is fair.

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.

Final amount in each share
7
Final remainder
1
Distributed so far
0

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.

At a transport model, 36 passenger counters must be shared among 5 recipients. Fair whole-object sharing gives everyone the same integer count. Deal only the objects that fit complete rounds; objects left after those rounds form the remainder. Each recipient receives 7, and 1 stay unshared. Whole objects are not silently cut into fractions.

A relationship to keep

36 = 5 × 7 + 1

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

    At a transport model, 36 passenger counters must be shared among 5 recipients. Identify what each number measures before changing a control; the worked example refers to these starting values.

  2. STEP 2

    Follow the mathematical change

    Move the timeline to distribute the complete rounds. During a round the temporary counts can differ by one; at the end the full shares agree. Pause on an intermediate frame and compare the picture with the live readouts.

  3. STEP 3

    Explain and test the relationship

    Each recipient receives 7, and 1 stay unshared. Whole objects are not silently cut into fractions. Change one input, predict its effect, and test whether the same relationship still works.

Your turn to explain

Make a prediction. Test your reasoning.

Bus-stop counters: use the original situation. At a transport model, 36 passenger counters must be shared among 5 recipients. How many more whole objects would be needed to complete the next full round of 5 recipients?

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

Compare your explanation

4 more. With no remainder, an entire additional round needs 5; otherwise fill the remaining positions in the next round.

Work through a full lesson

Connect the animation to a worked example and practice questions.

Grade 2 · Algebra

Share a collection fairly

Separate a whole into equal groups by distributing one at a time.