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High School 1 mathematics

Step 7 covers High School 1. Fifteen activities from this grade are now translated into English, with the same quizzes and best-score tracking as the Korean site — more High School 1 topics are on the way.

🔢 Number & operations

🧮

Binomial Expansion & Remainder Theorem

Match (a+b)ⁿ's coefficients to Pascal's Triangle, then verify the remainder theorem with synthetic division.

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Sets & Propositions

Mark out Venn diagram regions with set operations, then compare a proposition's converse, inverse, and contrapositive.

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Imaginary & Complex Numbers

From i²=−1 to polar form and Euler's formula, with a 10-question quiz.

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🧩

Binomial Squares, Factoring & Quadratics

See the binomial square formula as area, then find a quadratic equation's roots by factoring.

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🧮

Various Equations & Inequalities

Systems of quadratic equations, systems of inequalities, and absolute-value equations and inequalities, all in one lab.

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Factoring Area Puzzle Lab

Explore how x²+bx+c can be factored into (x+p)(x+q) using a visual rectangle-area model.

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📈 Functions & graphs

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Linear Function Graph

Adjust the slope and y-intercept and watch the line move in real time.

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📈

Quadratic Function Graph

Adjust a, b, and c and watch the parabola and its vertex move in real time.

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📉

Equation of a Line

Move two points and watch the slope and equation update live, with parallel and perpendicular conditions.

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🧩

Quadratic Inequality

See where a parabola sits above or below the x-axis, then solve quadratic inequalities yourself with a quiz.

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🔀

Various Functions Lab

Rational and irrational function graphs, plus composite and inverse functions with a function-machine diagram.

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Equation of a Circle

Build the equation of a circle from its definition, then explore how a circle and a line can meet.

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📐 Trigonometry

📐

Law of Sines & Law of Cosines

Solve any triangle — not just right triangles — from just a few known angles and sides.

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🏢

Applying Trig Ratios

Find a triangle's area from two sides and an angle, and measure a building's height without a ruler.

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⚙️

Rolling Circle Around Shapes: Center Locus Lab

Roll a circle once around a polygon or a row of circles and directly explore the length of the path traced by its center. You can also see how the circle moves…

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🔢 Matrices

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Matrix Lab

Fill in rows and columns, try addition and multiplication hands-on, and see why AB usually isn't BA.

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📊 Probability & statistics

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Counting Principle

See the multiplication rule with a menu tree diagram and the addition rule with shortest paths on a grid.

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