Grade 8–10
Pythagorean Theorem
The Pythagorean theorem explained: formula a² + b² = c², two proofs you can watch, the converse, Pythagorean triples and 10 worked examples. Drag the triangle yourself.
Grade 10–11
Trigonometric Ratios and the Unit Circle
Drag a point round the unit circle and watch sin, cos and tan change. Standard angle table, ASTC signs, identities, radians and graphs, with solved examples.
Grade 9–11
Quadratic functions and their graphs
Drag the vertex and change a, b, c to see how a quadratic function graph moves. Learn factoring, completing the square, the quadratic formula and discriminant.
Grade 9–10
Circle theorems
All the circle theorems with drag-and-check diagrams: angle at the centre, same segment, semicircle, cyclic quadrilateral, chords, tangents and alternate segment.
Grade 9–10
Heights and distances: elevation and depression angles
What angle of elevation and angle of depression mean, how the height-and-distance formula works, and how two observations solve a tower's height without ever measuring it — with an interactive simulation and solved problems.
Grade 9–11
Probability: experimental vs theoretical probability
What probability means, how the sample-space formula P(E) = n(E)/n(S) works, and why experimental frequency edges closer to theoretical probability the more you flip, roll or draw — with a coin, dice and coloured-ball simulator.
Grade 10–11
Arithmetic and Geometric Sequences
Learn the arithmetic and geometric sequence formulas for the nth term and sum, Gauss's pairing trick, and the sum-to-infinity formula a/(1−r), with a drag-and-slide bar-chart simulation and worked examples.
Grade 9–10
Mean, Median and Mode
Learn the mean, median and mode formulas, why the median resists an outlier while the mean does not, and the grouped-data median/mode formulas, by dragging points on a number line, with worked examples.
Keep studying this topic
The animation made the idea click; now turn it into marks. Syllabus, suggestions, textbooks and admission-test guides are below.
SSC
SSC Mathematics: syllabus and preparation
SSC
SSC Higher Mathematics: syllabus and preparation
HSC
HSC Higher Mathematics: syllabus and preparation
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Textbook
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Paragraph: Artificial Intelligence
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রচনা: কৃত্রিম বুদ্ধিমত্তা (in Bangla)
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HSC suggestions
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SSC
SSC syllabus
HSC
HSC syllabus
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