Mathematics 8 Measuring Prisms and cylinders
Specific Curriculum Outcomes
M02 Students will be expected to draw and construct nets for 3D objects.
M03 Students will be expected to determine the surface area of right rectangular prisms, right triangular prisms, and right cylinders to solve problems.
M04 Students will be expected to develop and apply formulas for determining the volume of right rectangular prisms, right triangular prisms, and right cylinders.
M02 Students will be expected to draw and construct nets for 3D objects.
M03 Students will be expected to determine the surface area of right rectangular prisms, right triangular prisms, and right cylinders to solve problems.
M04 Students will be expected to develop and apply formulas for determining the volume of right rectangular prisms, right triangular prisms, and right cylinders.
M02 activities


 Tetrahedron Wall Art  Students create a mural by cutting and folding nets of right pyramids made from different coloured paper.

M03 and M04 Activities
 Area Maze Puzzles by Naoki Inaba  A nice class warmup logic puzzle to get students thinking about area.
 File Cabinet from Andrew Stadel  How many postit notes will it take to cover Mr. Stadel's file cabinet? Students calculate a solution and then see if it matches the actual solution... or if you have a lot of sticky notes lying about, you can cover your own file cabinet.
 Surface Area of a Multilink Cube Prism  Have students construct a 1x2x3 rectangular prism with multilink cubes. Then challenge them to add cubes on to this prism to double the surface area.
 Surface Area & Volume Scavenger Hunts from @g_brgmn  Greta describes a "loop" activity to review surface area and volume. On the top of a sheet of paper she puts the first problem. Then she puts the answer to that problem on the bottom of the next sheet. Then on the top of that sheet she puts the next problem. The final answer goes on the bottom of the first sheet. Students can start at any card. They solve the problem and find that answer on another sheet. This continues until they have done all the problems. If they do everything correctly, they will end up back where they started.

 [3 Act Lesson] Sandboxes: Volume of Cylinders (& Spheres) from Jonathan Newman  Jonathan is building a sandbox. How much more expensive will the sand be for an 8' x 8' box than a 6' x 6' box? What about a 6' or 8' diameter circular sandbox?
 Handson Surface Area Activity from Erick Lee  Students work in pairs to create a net of a rectangular or triangular prism on a piece of coverstock. They measure all of the edges and calculate the surface area of each face and the total surface area on the net. Then they cut out the net and tape it together.

 Would Your Rather... Pools from John Stevens  Would you rather have a pool with dimensions of 40 ft x 9 ft x 4 ft OR 7 yds x 4 yds x 2 yds? Whichever option you choose, justify your reasoning with mathematics.
 Multilink Cube Prisms  Students in groups can explore how many different rectangular prisms they can build using a set amount of multilink cubes. They can record volume and surface area for each rectangular prism they construct.
 Which One Doesn't Belong? from wodb.ca and Illustrative Math  Find a reason why each shape does not belong with the rest of the group. A great strategy for promoting classroom discussion.
 Popcorn Box  Create opentopped boxes from a sheet of centimetre grid paper by cutting away squares from the four corners and folding the sides up. Experiment to determine the dimensions of a box with the greatest volume given the same size grid paper. Do flat, wide boxes or tall narrow boxes have more volume?
