Archimedes of Syracuse (c. 287 – c. 212 BC) is considered the greatest mathematician of ancient history, and one of the greatest of all time. He calculated the area of a circle, the surface area and volume of a sphere, the area of an ellipse, the area under a parabola, the volume of a segment of a paraboloid of revolution, the volume of a segment of a hyperboloid of revolution, and the area of a spiral.
VOLUME
Does a cone plus a sphere equal a cylinder?
Key questions
What is volume?
Can we find the volume of a cuboid?
Can we find the volume of a prism?
How do we calculate the volume of a pyramid, cone or sphere?
Can we problem solve with volume?
5 lessons
Specification detail
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
The Phantom Tollbooth by Norton Juster
Introduce...
prisms - 2, 3
volume cuboids & maxbox - 1,2,3,5
volume cuboids - 1,2
pyramids volume - 4
cuboid volume task - 1,2
Develop...
volume questions - 3,4
triangular prism - 3
sheds - 3,5
biggest volume - 4
cylinder volume - 3,5
cone volume - 4
backwards volume - 2,3,4
block volumes - 2,5
Extend...
on the sphere - 4
sphere cone cylinder - 4,5
golden balls - 1,5
difficult volume questions - 2,3,4,5
surface area of cuboids - 2,5
volume functional - 3, 5