Monday, January 7 – Students will be able to determine the cross sections of three dimensional shapes. Students will be able to determine the 3D shapes created when a 2D shape is rotated.
Students will use play dough to create 3D shapes and will then cut them to see cross sections.
Students will tape two dimensional shapes to straws and will spin them to see what shape would be made from rotating the shape around a line.
Tuesday, January 8 – Students will be able to determine the volume of prisms and cylinders give the dimensions of the object.
Notes about volume of prisms and cylinders
Practice finding the volume of prisms and cylinders (one of the 4 attached versions)
hypothesize about how the volume would be effected if the three dimensional object were leaning
Wednesday, January 9 – Students will be able to find the volume of pyramids and cones given their dimensions.
Notes on finding the volume of Cones and pyramids
Practice finding the volume of cones and pyramids
Hypothesize about the effect on the volume if the pyramid or cone’s point is off center.
Thursday, January 10 – Students will be able to find the volume of a sphere given the radius or the diameter. Students will be able to find the volume of 3D figures that are composed of multiple shapes.
PowerPoint notes on volume of spheres
Practice volume of spheres
Discuss previous days’ hypotheses
Friday, January 11 – Students will be able to determine that the orientation of a 3D object does not affect the volume of the object
Class discussion about Cavalieri’s Principle
Discuss density problems.