FINDING EARTH'S VOLUME
October 23rd - 28th
October 23rd
In-Class: We will take a short quiz on Pythagorean Theorem basics including an informal proof and applying it to right triangles. This will be followed by lessons on how to calculate volume of cylinders, cones, and particularly spheres. Learners will be able to see connections between these three different formulas for volume.
October 27th and 28th
Learning Target: The
learner will be able to calculate the volume of a large sphere given only an
arch length of a part of the sphere.
In-Class: Students first find a way to use arc length to find the volume of a sphere. They then use this knowledge and the distance they calculated of Columbus's travels across the Atlantic (an arc length) to find the volume of Earth. This is challenging and very large scale as well as very student centered with little teacher support, so students have additional time to work on this. The students will then discuss the accuracy of their calculations and what might make them less accurate than the real volume of the Earth.
Lesson:
In-Class: Students first find a way to use arc length to find the volume of a sphere. They then use this knowledge and the distance they calculated of Columbus's travels across the Atlantic (an arc length) to find the volume of Earth. This is challenging and very large scale as well as very student centered with little teacher support, so students have additional time to work on this. The students will then discuss the accuracy of their calculations and what might make them less accurate than the real volume of the Earth.
Lesson: