| CURRICULUM OVERVIEW | ||||
| MATH AND SCIENCE | FOREIGN LANGUAGE | |||
| MATH | SCIENCE | SPANISH / LATIN | ||
| 9th | Introduction and Overview of Mathematics - Symbols & Reality | Introduction and Overview of the Sciences | ||
| Review of Algebra (which will have been taught in 7th & 8th grade) | Units: dimensional analysis | |||
| Set Theory | The experimental method | |||
| Relations (equal,greater, lass) and properties (reflexive, symmetric, transitive) | ||||
| Operations (add subtract, product, division, power, log: grouping) | Astronomy | Beginning Latin | ||
| Properties (closure, associative, identity, inverse, commutative, distributive) | The earth | for all Grades | ||
| Numbers, variables, collective structures, functions | Planets | |||
| Graphing (Cartesian system) | Sun | |||
| Solution and characterization of equations (linear, quadratic) | Stars | |||
| Discrete Math & Number Theory | Galaxy | |||
| Number theory (integers, primes, reals) | Anomalies (Olbers, Galileo, Novas, etc.) | |||
| Finite math | ||||
| Logic | Geology | |||
| Free monoid and beginnings os automata theory | Minerals and Rocks | |||
| Cominationatorics | History of the earth (eras) | |||
| Probability, statistics | Volcanoes, glaciers, erosion, hydrology, tectonics | |||
| 10th | Geometry | Biology | At this point students will choose | |
| Proofs: axioms, theorems, etc. | Anatomy | whether to continue with Latin for | ||
| Plane geometry: lines, parallel, angles, triangles, perimeter, area | Histology (cells) | the next three years or start Spanish | ||
| Solid geometry: 3-space, volume, objects of rotation | Physiology (organs and systems) | and continue with Spanish for the | ||
| Topology, fractals, higher dimension | Taxonomy; the kingdoms of life | next three years. | ||
| Genetics and evolution | ||||
| 11th | Trigonometry | Chemistry | ||
| the unit circle | Atomic theory | |||
| sine and cosine | The elements: metals, semi-metals, non-metals, gases | Spanish or Latin | ||
| properties, other functions | Reactions | |||
| Advanced Algebra | Inorganic | |||
| Solving more complex equations: quadratics, cubics, polynomials | Organic | |||
| Vectors: operations, dot & cross products; 2,3, higher dimensions | Biochemistry | |||
| Complex numbers | ||||
| 12th | Calculus | Physics | ||
| Limits | Motion; tie in to calculus | |||
| Differential calculus | Mechanics | Spanish or Latin | ||
| Integral calculus | Wave mechanics; sound; light (lenses, mirrors, spectra) | |||
| Series, convergence, asymptotes (0?0, inf/inf) | Electricity and magnetism | Literature, Translation | ||
| Thermodynamics (entropy) | ||||
| The atom | ||||
| Subatomic particles | ||||
| Decay, Fission, Fusion | ||||