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Advanced Algebra & Trigonometric Modeling

Connect symbolic reasoning with motion, sound, and real‑world change. Explore how equations describe living systems from guitar string vibrations to planetary orbits inside immersive XR labs.

Program Overview

“Advanced Algebra and Trigonometric Modeling” challenges Grades 9–10 learners to connect symbolic reasoning with motion, sound, and real‑world change. Guided by Brainy‑Math, a personal intelligent assistant that sees, remembers, and acts across the EON learning system, students explore how equations describe living systems from the vibration of guitar strings to the orbit of planets. Inside extended‑reality labs, they manipulate formulas, graph relationships, and design simulations that link algebraic structure to trigonometric motion.

Courses Included

1. Quadratics and Polynomials in Motion

Experiment with projectile paths and bridges in XR, adjusting coefficients to see how algebra shapes curves and stability.

2. Exponential Growth and Decay

Simulate population, finance, and radiation models; Brainy compares real‑world data to exponential functions.

3. Systems of Equations and Matrices

Solve simultaneous equations through XR puzzles and apply matrices to control robotics movements.

4. Trigonometric Functions and Waves

Enter the Wave World to visualize amplitude, frequency, and phase; model music, tides, and alternating currents.

5. Transformations of Graphs and Functions

Shift, stretch, and reflect graphs to study composite and inverse functions dynamically.

6. Real‑World Modeling Challenge

Design and present an XR simulation bridge resonance, sound installation, or satellite orbit supported by algebraic and trigonometric proofs.

Outcomes & Credentials

Certificate

Advanced Algebra & Trigonometric Modeling Mastery (Integrity Suite verified).

Skills

Symbolic reasoning, graph interpretation, mathematical modeling, trigonometric analysis, digital simulation design.

Career Compass Preview

Civil & mechanical engineering, physics, computer graphics, architecture, music technology, entrepreneurship (Wealth Weaver Labs).

What Next?

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