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Animated Process Lab · free

Watch the math build one small decision at a time.

Each scaffold physically reorganizes the problem into the working layout, performs one small mathematical action at a time, and leaves each result visible so you do not have to hold the whole process in working memory. Pause, step backward, step forward, scrub the timeline, or generate a fresh example.

Core arithmetic Addition Line up place values, combine one column at a time, and regroup only when needed.
1Align place values
2Add the ones
3Regroup if needed
4Add the tens and finish
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Core arithmetic Subtraction Align place values, subtract by column, and regroup deliberately instead of guessing.
1Align place values
2Check the ones column
3Regroup if the top digit is smaller
4Subtract and verify
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Active now Result / completed Carry / borrow / regroup Cancel / remove

Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Core arithmetic Multiplication Break multiplication into visible partial products so the place-value pattern stays stable.
1Identify the factors
2Multiply the ones
3Carry/regroup when needed
4Combine the partial product
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Core arithmetic Division Use divide → multiply → subtract → bring down as a repeating loop.
1Estimate the first quotient digit
2Multiply back
3Subtract
4Repeat until no place values remain
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Active now Result / completed Carry / borrow / regroup Cancel / remove

Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Fractions Fraction addition Build a common denominator first, then add numerators while the denominator stays fixed.
1Compare denominators
2Build a common denominator
3Rewrite equivalent fractions
4Add numerators and simplify
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Active now Result / completed Carry / borrow / regroup Cancel / remove

Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Fractions Fraction multiplication Multiply straight across, then simplify; cancellation can make the arithmetic easier before multiplying.
1Inspect for cancellation
2Multiply numerators
3Multiply denominators
4Simplify the result
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Active now Result / completed Carry / borrow / regroup Cancel / remove

Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Fractions Fraction division Keep the first fraction, change division to multiplication, invert the second fraction, then simplify.
1Keep the first fraction
2Change ÷ to ×
3Invert the second fraction
4Multiply and simplify
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Fractions Ratio & proportion Set equivalent relationships, identify the scale factor, then solve the missing value without losing the direction of the relationship.
1Read both relationships in the same direction
2Identify the scale factor
3Apply the same factor to the paired value
4Check that both ratios are equivalent
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Active now Result / completed Carry / borrow / regroup Cancel / remove

Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Conversions Decimal, fraction & percent conversion Track place value explicitly so decimal, fraction, and percent forms stay connected.
1Read the decimal place value
2Write the equivalent fraction
3Simplify the fraction
4Convert to percent by ×100
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Conversions Metric conversion Hold the quantity constant while the numerical representation changes with the unit.
1Identify the starting unit
2Identify the target unit
3Apply the metric relationship
4Check direction and magnitude
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Healthcare formulas Dosage formula Desired ÷ dose on hand × quantity, with units visible before trusting the arithmetic.
1Identify the desired dose
2Identify dose on hand and quantity
3Build D ÷ H × Q
4Calculate and check the requested unit
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Healthcare formulas Dimensional analysis Anchor the requested unit on the left, then build a factor chain whose units cancel toward that target.
1Anchor the target fraction
2Place a factor with the target unit in the numerator
3Continue the cancellation chain
4Calculate what remains
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Healthcare formulas Weight-based dose Match the weight unit, multiply by the ordered rate, then verify the dose magnitude.
1Confirm kg vs lb
2Convert weight if needed
3Multiply dose rate × kg
4Check the resulting dose unit
Ready—
Active now Result / completed Carry / borrow / regroup Cancel / remove

Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Healthcare formulas Infusion rate Make the final unit match the device: mL/hr for pumps or gtt/min for gravity sets.
1Identify the device unit
2Align volume and time units
3Build the rate relationship
4Calculate and reasonableness-check
Ready—
Active now Result / completed Carry / borrow / regroup Cancel / remove

Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.

Playback speed 1× ≈ 4.2 seconds per reasoning step
Learning scope: These animations show mathematical structure and educational examples. Provider filtering is a study suggestion, not a claim that every listed process is required by every school, credential, protocol, or scope of practice.