|
|
|
2-D Shape 3-D Solids Project
Click thumbnail to view the project:
Grade 4 - use:
squares (make 5 polyhedra)
triangles
rectangles
(create prism’s and pyramids)
Grade 5 - use
squares (make 8 polyhedra)
triangles
rectangles
circles
(create prisms, pyramids, cones/ cylinders)
Grade 6 - use:
squares (make 8 polyhedra)
triangles
rectangles
circles
(create prisms, pyramids, cones/ cylinders)
Rules For Building Polyhedra
1. Make a list of all the polyhedra you can make using your list of polyhedra
2. Make a net for each polyhedra you plan to make and record your net on paper before you make it out of stiffer paper
3. All polygons used for bases or ends should have side measurements of 8 cm.
4. Length of prisms should be 1.5dm.
5. Circles should have a diameter of .15m.
After Construction
1. Determine and record the following information on your 3-D solid.
(a) surface area
(b) # of faces, edges and vertices
(c) volume
*(d) angle measurements
2. Determine the amount of wrapping paper you would need if you would need to wrap each polyhedra allowing for overlap.
Grade 4 - 1/2 times more for overlap.
Grade 5 - 1/3 times mire for overlap
Grade 6 - 40% more} Determine both
20% more} Amounts
Grade 6 Challenge
The store where you buy the paper is charging 2/cm to cover the surface area only but will charge more for extra overlap. Which of the following would be more expensive?
40% at 1/10 per cm
or
20% at 1/4 per cm
The store will decrease the price by 15% for every 30cm of paper bought. Once you determine the best price above figure out how much the paper will cost at this discounted rate.
(choose 4 polyhedra)
cone, pyramid, prism, cylinder
Grade 5 Challenge
The store where you buy the paper is charging 1/4 per cm. How much will the wrapping paper cost?
If the price decreases by 20% for each 30cm how much would the paper cost at this discount rate?
(Choose 3, 1 pyramid, 1 prism, and 1 cone)
Grade 4 Challenge
The store where you buy the paper is charging 5 for each square centimeter (cm ). How much will the wrapping paper cost?
How much would it cost for 1/2 per cm ?
(Choose 2, 1 Prism and 1 Pyramid)
Math Project Criteria
1. List all polyhedra possible with your given polygons. (10 points)
2. Sketch possible nets for polyhedra
(10 points)
3. Models of polyhedra
grade 4- 5
grade 5 and 6 -6 to 8
(20 points)
4. Rough copy for all calculations for surface area and volume.
(20 points)
5. Finished product must include the following:
(a) name/date/title
(b) # vertices/edges/faces
(c) surface area of all polyhedra
(d) volumes for: square based pyramid, cone/cylinder, cube/rectangular prism (40 points)