ACE 3.2: Filling Cylinders and Linear equations

LARGE GROUP
In large group today we did a warm-up identifying prisms and pyramids and solving some measurement problems. We talked about how to find the volume of triangular vs. rectangular prisms, multiplying the area of the Base by the height of the prism. And we also reviewed circles, and found that a little over 3 radius squares fit in the area of a circle.

Then we went over Problem 3.2, in which we compared the volume and surface area of two cylinders, one made of a sheet of paper the long, thin way (Tom), and one made out of the same size paper the short, fat way (Jerry). Students made conjectures about whether the cylinders would have equal volume, then tested to find out. They did the same with surface area. We found that the Jerry cylinder had a larger base circle area, and that the volume ended up being larger than the Tom cylinder, even though the Tom cylinder was taller. We also found that the Jerry cylinder had bigger surface area, because although the curved surfaces were equal, the Base area of Jerry was larger. The problem may be downloaded here, and class notes may be downloaded here.

We don't have another math class until next Monday. Have a great rest of the week!

LARGE GROUP HOMEWORK
ACE 3.2

Problems 2, 8-12, and 26 on the handout, which you can download here.

Due Monday, May 24.

SMALL GROUP
Students worked with Cory today. They shared their answers from the Additional Practice homework, then work on parts A and B of Problem 1.3, Raising Money, which you can download here. Students also looked at Linear Equations like ax+b=c and ax=c, and how they show up on a graph, and how we can write them from story problems.

SMALL GROUP HOMEWORK

ACE 1.3

Problems 6 and 7 on the handout, which you can download here.

Due Monday, May 24.