THE RESOURCE LIBRARY

IGCSE Mathematics: Knowledge Library & Illustrated Guides

Illustrated teaching guides, official reference links, and a transparent source record.

$Original diagram: Make the line satisfy every condition.$ VIDEO → ARTICLE

Gauth · 9 min read

Make the line satisfy every condition.

Connect gradients, midpoints and perpendicular lines with visible working.

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$Original diagram: Solve the equation. Interpret the root.$ VIDEO → ARTICLE

The Organic Chemistry Tutor · 9 min read

Solve the equation. Interpret the root.

Turn a rectangle into a quadratic and check both algebra and context.

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$Original diagram: Read the path before multiplying.$ VIDEO → ARTICLE

1st Class Maths · 10 min read

Read the path before multiplying.

Distinguish replacement, conditional branches and either-order events.

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$Original diagram: Bounds follow the operation.$ VIDEO → ARTICLE

1st Class Maths · 11 min read

Bounds follow the operation.

Choose extremal inputs before calculating an extremal result.

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$Original diagram: A histogram counts area.$ VIDEO → ARTICLE

1st Class Maths · 11 min read

A histogram counts area.

Unequal class widths make bar height an unreliable shortcut.

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$Original diagram: Grouped data keeps some uncertainty.$ VIDEO → ARTICLE

1st Class Maths · 11 min read

Grouped data keeps some uncertainty.

Move from histogram areas to estimates without pretending to know the raw observations.

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These guides use actual video captions for a short source synopsis and timestamp map. Teaching text, worked examples, and diagrams are original companions. They do not reproduce full transcripts or downloaded video.