LEVEL I: 9th grade
Math skills for Sciences:
order of magnitude, powers of 10,
scientific notation, measurements and indirect measurements, metric system, ratios, TI ,density, forces / vectors, gravity mass vs mass, general relativity, static electricity, pressure pascal principle, hydrostatic, buoyant force,atmospheric pressure
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Math connection:
PRE-ALGEBRA - GEOMETRY
scientific notation, power of ten, proportions, using the TI, plugging numbers into an algebraic expression,
Pythagorean theorem, slope,vectors
using protractor,tangent and tan-1
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interdisciplinary connections:
AStronomy and Cosmology
(distances in the Universe,
Cosmology, general relativity, black holes,dark matter and dark energy Chemistry (matter,moles,density), Biology (very small, surface area vs mass, weightless) Earth SCiences (geology, pressure and atmosphere)
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LEVEL II: 10th grade
graphing skills to derive relationships Newton's 3 law in depth: frictional forces , equilibrum, hookes law , torques, momentum , conservation of momentum, work, energy and power: work theorm, units, conservation kinematics 1D the big 5
circuits, electrical energy
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Math connection:
ALGEBRA I
Linear, direct and inverse relationships,
using TI to find Best fit line/curve,
solving equations, algebraic expressions,
quadtratic equations
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interdisciplinary connections:
Environment / energy (units for energy, fossile fuel, gasoline vs uranium, energy consumption , extracting metal, ) History (Emilie du Chatelet and kinetic energy,
Lavoisier and conservation of mass,
Lavoisier: " Rien ne se perd, rien ne se cree , tout se conserve" (no matter is lost or created, it is conserved ) He DID lose his head though during the French revolution !
Some brittish guy said: it took 100 years to grow such a head but 1 second to lose it. |
LEVEL III: 11th grade
free-fall/motion in heaven:
Kepler's laws, free-fall, gravitational law modern physics : radioactivity, relativity, E=hυ, fusion and fission
Vectors in 2D , kinematics in 2D, Newton laws in 2D , circular motion, angular momentum,optics
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Math connection:
TRIGO, ALGEBRA II
Trigonometry, vectors, polar graph, parabola, circular motion
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interdisciplinary connections:
Astronomy (Kepler's law, universal gravitational law,spectra of atoms )
Technology ( satellites and optics)
History (Jordano Bruno, Copernicus, Galileo and The Roman catholic church ,
Kepler and the 30years war , Newton, and the black plague, Modern Physics )
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LEVEL IV : 12/13th
waves, fields, oscillators,
electives: Astronomy,
vector analysis
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Math connection:
CALCULUS
periodic functions, derivative,
differential equation,
vector fields
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interdisciplinary connections:
Seismology (Earthquake location) , History (cold war, Roswell, Radar), Medical field ( cat scan, pet scan, X-rays.. ), Music, technology (electromagnetic devices, particles accelerator )
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Math skills I : scientific notation, metric system, SI units, measurements
(surface areas, volume) conversions
distance in the universe,indirect measurements,weight vs surface area
Math skills II : RATIOS, conversions
moles in chemistry
take home quiz
(More Math skills III extra credits ! )
---end 1st trimester -------------
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Math skills I
graphing skills / slope and y-intercept
best fit line / deriving relationships in Sciences
graph papers
(take 5 lines per page)
how to use the TI, best fit line
(optional, depends on level)
movie: Antoinne Lavoisier
(from NOVAE, Einstein big idea)
H2O + Fe -> FeO (IRON OXYDE) + H2
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in construction :
history + worksheets
| in construction
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WAVES
wave1 (introduction)
wave2 (properties/behavior
wave3 (application = sound)
sound channels
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ELETROMAGNETISM
electric field/ force
gravitational field/ force
interaction in a field
history: unification of magnetism
and electricity = FARADAY
/MAXWELL
movie: Michael Faraday
from NOVAE Einstein big idea
magnetic field / force/interaction
and electromagnetism
work in an uniform field :
gravitational and electric field
work theorem - potential
motion in an uniform field /
(electric , gravitational or magnetic)
circular motion revisited
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OSCILLATORS
(mechanics + electric)
oscillators : introduction
mechanic oscillators , electric oscillator
(RC circuit, induction and RL circuit, RLC circuit)
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LEVEL 13th (in construction)
ELECTIVES / MATH
-differential equations
vector analysis / multivariate calculus
used in Physics. Maxwell again.
we use these on-line sources:
source1
from East Tennessee University
source2
California State University
differential equations formula
some common integrals
some integrals
some derivatives
trig formula
quadric surface formula
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