Volume Of Cylinders Using a Formula
Objective: SWBAT find the volume of cylinders using a formula
Big Idea: Students see that the volume of cylinders is just like the volume of prisms.
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Guided Practice
I made sure to include cylinders with radii given and diameters given so that students have a chance to use the wrong value. When they do make this mistake, I will tell them: “It’s okay. I put that problem there on purpose to trip you up!”. On GP5 I purposely ask students not to calculate the volumes to compare the cylinder to the cube. I want them to have to explain using reasoning only. (MP3).
Independent Practice
The first 4 problems mirror the guided practice. Problem number 5 requires a bit of proportional reasoning. I will have students work independently for at least the first few minutes; at least for problems 1-4. I can use this as another check for understanding. The extension problems provide more opportunities to enhance a student's problem solving abilities (MP1). Problem 7 is not too difficult but problem 8 can be quite tricky. Here, I think the easiest solution is to use the surface area formula as a model to help find the height of the cylinder so that the volume can be calculated. (MP4).
Exit Ticket
There are 4 problems on the exit ticket. The first problems asks students to explain how to find the volume of a cylinder in two steps. The second and third problems simplify ask students to find the volume of the given cylinders with a radius and then a diameter given respectively. The last question requires that students find the height of the cylinder given its volume and diameter.
