Do the Math. Claim Your Legend.

Questions that adapt as you improve. Battle through Challenge Mode with 3 lives, streak multipliers, and speed bonuses. Start as a Counter. Become The Infinite.

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Question 1
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πŸ“ Step-by-Step Solution

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    Students flagged by low accuracy, high response time, or repeated attempts.

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    Worksheet Builder
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    Click a question, then press Space to swap it.
    AΒ²MIND Math Worksheet
    Name: Date: Period: Score:

    Directions: Evaluate each expression. Show all your work in the space provided.

    Your worksheet is empty. Add questions using the panel on the left.

    πŸ“– My Lessons

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    πŸ”¬ Simulations

    Interactive tools to explore and visualize mathematical concepts.

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    Conic Sections

    Visualize parabolas, ellipses, hyperbolas, and circles. Adjust parameters interactively and observe how the curve, foci, vertices, and axes change in real time.

    Parabola Ellipse Hyperbola Circle
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    πŸ“ˆ

    Trig Function Transformer

    Explore transformations of sine and cosine: y = a + bΒ·sin(c(x βˆ’ d)). Adjust amplitude, frequency, phase, and vertical shift to see key points update in real time.

    Sine Cosine Transformations Key Points
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    Solid of Revolution

    Visualize 3D solids formed by revolving a curve around an axis. Choose functions, set bounds, switch between disk and washer methods, and animate the revolution.

    Disk Method Washer Method 3D Calculus Volume
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    Trig Integral Trainer

    Practice integrating products of trigonometric functions. Covers sin/cos, sec/tan, csc/cot, and product-to-sum formulas β€” with fully worked step-by-step solutions.

    sin/cos sec/tan Product-to-Sum Integration
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    πŸ”€

    Trig Substitution Trainer

    Master trigonometric substitution for integrals involving √(aΒ²βˆ’xΒ²), √(xΒ²+aΒ²), and √(xΒ²βˆ’aΒ²). Randomized problems with detailed step-by-step solutions.

    x = a sin ΞΈ x = a tan ΞΈ x = a sec ΞΈ Integration
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    βˆ‘

    Riemann Sum Approximator

    Visualize how left, right, midpoint, trapezoid, and Simpson's rules approximate a definite integral. Adjust n to watch the error converge β€” with a live error-vs-n convergence chart.

    Left/Right Midpoint Trapezoid Simpson's
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    Partial Fraction Trainer

    Practice partial fraction decomposition for integration. Covers distinct linear factors, linear and irreducible quadratic factors, and improper fractions β€” with step-by-step walkthroughs.

    Distinct Linear Irreducible Quadratic Improper Fractions Integration
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    How to Use AΒ²MIND

    A quick guide to getting the most out of this platform.

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    What is AΒ²MIND?

    AΒ²MIND is an adaptive mathematics learning platform for Grade 9–12 students. It adjusts question difficulty in real time based on your performance, giving you problems that are always at the right level β€” not too easy, not too hard.

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    Practice Mode

    Open-ended practice on any topic. The fuzzy-logic engine watches your accuracy, response time, and confidence ratings to gradually raise or lower difficulty.

    • Use Hint if you're stuck β€” it reduces points earned but keeps you moving.
    • Use Show Solution to see a full step-by-step walkthrough.
    • Rate your confidence after each question β€” this feeds the adaptive engine.
    • Your difficulty level is saved between sessions per topic.
    πŸ”₯
    Challenge Mode

    A 10-question timed round with lives, streaks, and a score. Every round starts at Easy and climbs based on your performance.

    • 3 correct in a row β†’ difficulty promotes to the next tier.
    • 1 wrong answer β†’ difficulty drops one tier.
    • You have 3 lives. Lose all 3 and the round ends early.
    • Points scale by tier: Easy = 50 pts, Medium = 100 pts, Hard = 200 pts.
    • Streak multipliers: 3-streak Γ—1.5, 5-streak Γ—2.
    • Using a hint halves the points for that question. Showing the solution gives 0 pts.
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    Simulations

    Interactive visual tools (e.g. Riemann Sum simulator) that let you explore mathematical concepts dynamically. Find them under Simulations in the navigation or footer.

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    Badges & Leaderboard

    Earn badges by hitting milestones β€” completing challenge rounds, maintaining streaks, answering accurately, and more. Your challenge scores appear on the class leaderboard.

    • The leaderboard resets daily and weekly, but All-Time is permanent.
    • Your personal best score per topic is saved and shown at the start of each round.
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    Classes

    Your teacher can enroll you in a class to track progress and see class-specific leaderboards. If you have a class code, use Find a Class to join.

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    Tips
    • Answers are case-insensitive. Spaces don't matter.
    • For fractions, write them as a/b (e.g. 3/4).
    • For square roots, write 2√3 or just √3.
    • Angles can be entered in degrees (e.g. 45) or as expressions (e.g. Ο€/4).
    • Use Dark Mode (top right) if you prefer a darker theme.

    AI Assistance Disclosure

    Transparency note for this platform

    AI

    This platform was developed by the author with assistance from Claude (claude.ai) and ChatGPT for code generation and refinement, and Gemini 2.0 Flash for image generation.

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    All content, system logic, educational design, and final decisions were planned, reviewed, revised, and verified by the author, who remains responsible for the accuracy and appropriateness of all materials.