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 arithmeticAdditionLine 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 speed1× ≈ 4.2 seconds per reasoning step
Core arithmeticSubtractionAlign 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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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.
Playback speed1× ≈ 4.2 seconds per reasoning step
Core arithmeticMultiplicationBreak 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 speed1× ≈ 4.2 seconds per reasoning step
Core arithmeticDivisionUse 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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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.
Playback speed1× ≈ 4.2 seconds per reasoning step
FractionsFraction additionBuild 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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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.
Playback speed1× ≈ 4.2 seconds per reasoning step
FractionsFraction multiplicationMultiply 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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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.
Playback speed1× ≈ 4.2 seconds per reasoning step
FractionsFraction divisionKeep 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 speed1× ≈ 4.2 seconds per reasoning step
FractionsRatio & proportionSet 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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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.
Playback speed1× ≈ 4.2 seconds per reasoning step
ConversionsDecimal, fraction & percent conversionTrack 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 speed1× ≈ 4.2 seconds per reasoning step
ConversionsMetric conversionHold 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 speed1× ≈ 4.2 seconds per reasoning step
Healthcare formulasDosage formulaDesired ÷ 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 speed1× ≈ 4.2 seconds per reasoning step
Healthcare formulasDimensional analysisAnchor 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 speed1× ≈ 4.2 seconds per reasoning step
Healthcare formulasWeight-based doseMatch 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—
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Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.
Playback speed1× ≈ 4.2 seconds per reasoning step
Healthcare formulasInfusion rateMake 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 nowResult / completedCarry / borrow / regroupCancel / remove
Use Previous / Next or drag the timeline. Manual progression is the default so you control every reasoning step.
Playback speed1× ≈ 4.2 seconds per reasoning step
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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.