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Middle School Grade 9 mathematics

Middle School Grade 9 covers square roots and real numbers, trig ratios, circle properties, and statistical dispersion. All 5 activities for this grade are translated into English, with the same quizzes and best-score tracking as the Korean site.

🔢 Number & operations

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Square Roots & Real Numbers Lab

See exactly where a square root sits on the number line and practice simplifying radicals.

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📏

Why Is √2 Irrational? Lab

Follow the contradiction that arises when we assume √2 can be written as a fraction, and prove that √2 is irrational using proof by contradiction.

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📈 Functions & graphs

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Quadratic Equations and the Quadratic Formula Lab

Use the sign of the discriminant D=b²−4ac to determine the number of roots first, then use the quadratic formula to solve even quadratic equations that cannot be factored.

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🏀

Projectile Motion Lab

Adjust the launch angle and speed, fire the ball, and see how its parabolic trajectory is connected to the quadratic function y=ax²+bx.

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📐 Shape & measurement

📐

Trig Ratios (Sine, Cosine, Tangent) Lab

Choose an angle and which side to fix, and watch how sin, cos, and tan change.

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⚪

Inscribed Angle Lab

Move a point around a circle and see why the inscribed angle always stays exactly half the central angle.

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🔵

Circle Properties Lab

Explore how a circle relates to a line, sector arcs and areas, tangent lines, and inscribed polygons.

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📊 Data

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Dispersion Lab — Box Plots & Scatter Plots

Summarize data with a box plot and read the relationship between two variables in a scatter plot.

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