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Grade 6 · Percent

Ticket model: Find a percent of a whole

Ticket model investigation: find a percent of a whole. Change the quantities, follow the motion, and explain the result using the displayed mathematical relationship.

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

Watch the relationship

Paused
Ticket model: Find a percent of a whole. Original whole: 60. Signed percent: 20%. Part revealed: 0. Final answer: 12A part compared with its original wholeOriginal whole: 60Part revealed: 0Chosen final percentage: 20%
The whole is positive and percentages stay between 5% and 95%. The graphic compares amounts on a shared scale. Playback reveals the answer and does not alter the chosen final percentage.

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.

Original whole
60
Signed percent
20%
Part revealed
0
Final answer
12

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 percentage is a ratio to one hundred. Multiplying a whole by p/100 gives the part associated with p percent. The original whole remains the reference quantity even when the highlighted part grows during playback. This investigation begins with original whole = 60; percent of whole = 20. Treat the named setting as a constructed classroom model, then explain which relationships would still hold if its numbers changed.

A relationship to keep

part = whole × percent / 100

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

  1. STEP 1

    Represent the given quantities

    Treat the entire first bar as the original whole, not as the currently highlighted amount.

  2. STEP 2

    Follow the changing model

    Reveal the requested portion gradually. A fraction of the drawing corresponds to the same fraction of the original value.

  3. STEP 3

    Check and explain the relationship

    Divide the completed part by the whole and multiply by one hundred to recover the stated percentage.

Your turn to explain

Make a prediction. Test your reasoning.

Ticket model: Find 20% of 60.

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

Compare your explanation

12, because 60 × 20/100 = 12.

Connect the animation to a worked example and practice questions.