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  • Mathematics & Logic Grades 11-12 Leaders

Calculus, Logic, and Real World Modeling

Unite the language of change with the precision of reasoning. Explore virtual worlds where objects accelerate, fluids flow, and populations evolve then prove why your models work.
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Program Overview

“Calculus, Logic, and Real-World Modeling” transforms abstract mathematics into a living system of motion, optimization, and proof. Guided by Brainy a personal intelligent assistant that sees, remembers, and acts across the EON learning system students explore XR worlds where derivatives and integrals describe dynamics across physics, economics, and environmental design. Learning outcomes are validated through the Integrity Suite, an AI-verified multi-format assessment ensuring 100% authentic learning.

Courses Included

1. Approach & Smoothness

Learners observe approaching behaviors cars nearing intersections, objects approaching zero velocity to visualize limits and continuity.

2. Slope, Velocity, Efficiency

XR roller coasters and physics worlds illuminate instantaneous rate of change, tangent lines, and design tradeoffs.

3. Area, Flow, Totals

In Flow Lab, learners fill containers and measure area under curves to understand accumulation and total change.

4. Dynamics & Prediction

Simulate population growth, chemical reactions, and motion systems; predict long‑term behaviors using numerical XR solvers.

5. Deduction & Structure

Inside the Logic Chamber, build and test the structure of proofs truth tables, inference rules, paradoxes, and algorithmic logic.

6. Real‑World Challenge

Teams design a complete XR model climate forecasting, financial optimization, or traffic control validated by the Integrity Suite.

Outcomes & Credentials

Certificate

Calculus & Logical Modeling Mastery (Integrity Suite verified).

Skills

Rate of change analysis, integration & optimization, deductive reasoning, computational modeling, real‑world application.

Career Compass Preview

Engineering, AI & machine learning, data science, finance & economics, architecture, entrepreneurship (Wealth Weaver Labs).

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