satellite dishes - mirrors in the sky

"look, up in the sky ..


exploration lesson

visit satellite dish at south end of Buzzard Building.


concept introduction


concept application


reference --- leyden's article:
The Elliptical John Kepler -- TST -- Nov 1984
Washington Educational Press Award: Best Science Feature Story of 1984


exploration phase
student make ellipses by using ...


concept introduction phase
ellipse ( definition ) =


concept application phase
ooops ... this specific concept cannot be applied because the goal was to form a definition of an ellipse.
However, the activity leads kids to propose quantitative ( arithmetic ) definitions of other shapes.
A circle is a - - -


science background material

John Kepler [ l571-1630 ] developed three 'big ideas' of planetary motion ( which also describe motion of moons; asteroids; comets )


I. Big Idea of Elliptical Orbits Orbits have elliptical shapes.

II. Big Idea of Equal Areas In equal period of time ( a day; a week; a month ), a line connecting the sun-planet ( or a moon-planet ) sweeps out equal areas.

III. Cubed-Square Big Idea
When you cube the orbital period of a planet you have found the planet's distance from the sun, squared.


Jupiter's distance = 5.2 x earth's distance from sun, and ... Jupiter's period = l2 x earth's year

so: 5.2 x 5.2 x 5.2 = l2 x l2
distance, cubed ====== period, squared

Discussion:
Kepler couldn't explain "why" this 'cube-square thing' "worked" ... so this relationship is called "empirical" ... it's based on observational evidence but without an underlying theory. Years later, an Englishman name Newton ( first name, Fig ) explained this empirical discovery. The "why" was due to something called gravity.
p.s. Scientists must have patience - and persistence. It took Kepler 14 years to find this third 'big idea -- about 1605 to 1619.

see folder
"what is science" -- and read the item called 'science is a puzzle' -- for a discussion of 'empirical rules' of science


5 / 5w / 95
12 / 8f / 95