Construct a dodecagon calendar showing all twelve months.
Students can make the truncated icosahedron and then disassemble it to create new and different dimensional geometric shapes. Building a truncated icosahedron (soccer ball) is a great math learning experience.
Students acquire knowledge and skills while assembling various polyhedra from a simple cube or pyramid to building a more complicated dodecahedron, truncated octahedron or truncated icosahedron.
Supplies Used: Adhesive, Cardstock or construction paper, Size 10 rubber bands
The teacher will die-cut the materials for student use prior to the lesson.
Dodecahedron Cube Calendar:
- Die-cut twelve pentagons from the Elastic Geometrics Set using assorted colors of cardstock.
- Use the following website to make a copy of the dodecahedron cube calendar: https://craftmeister.mcuniverse.com/2017-dodecahedron-cube-calendars-are-ready/.
- Cut apart each calendar month and adhere a month to a pentagon for all twelve months.
- Attach the pentagons together with #10 rubber bands to complete the dodecahedron cube calendar (Main Photo).
Truncated Icosahedron (soccer ball):
- Die-cut 20 white hexagons and 12 black pentagons using cardstock or construction paper.
- Attach a white hexagon to one side of a black pentagon (Figure A) with a Size 10 rubber band repeat 9 times for a total of ten.
- Attach white hexagons to the sides of a black pentagon. Repeat once for a total of two (Figure B).
- Attach a hexagon/pentagon to each hexagon (Figure C). This forms half of a soccer ball. Repeat this to create the second half of the soccer ball. Assemble the two halves to form a soccer ball (Main Photo).
- Size 10 rubber bands are needed to create polyhedral; however, glue can also be used to assemble polyhedra.
- Students can begin with a simple polyhedra. Six squares combine to make a cube (Figure D). A square and four triangles combine to make a pyramid. The truncated octahedron is made from eight hexagons and six squares (Main Photo).
- Figure A
- Figure B
- Figure C
- Figure D
Reason with shapes and their attributes.
- Understand that shapes in different categories (e.g., rhombuses, rectangles and others) may share attributes (e.g., having four sides), and that the shared attributes can define a larger category (e.g., quadrilaterals). Recognize rhombuses, rectangles and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of the subcategories.
Science, Technology & Engineering
Science and Technology and Engineering Education
3.4 Technology and Engineering Education
3.4.C Technology and Engineering Design
Pennsylvania’s public schools shall teach, challenge and support every student to realize his or her maximum potential and to acquire the knowledge and skills needed to:
1 Design Attributes
- Understand that there is no perfect design.
- Recognize that requirements for a design include such factors as the desired elements and features of a product or system or the limits that are placed on the design.
2 Engineering Design
- Describe the engineering design process: Define a problem. Generate ideas. Select a solution and test it. Make the item. Evaluate the item. Communicate the solution with others. Present the results.