Students love to interact with their learning environment and getting them to use the Quiver iOS app with some polyhedron pages is just the thing to get them excited about Math solids.
Quiver iOS app installed on iPads/iPods for student use
Print off one copy of the Platonic Solids Starter and color the solids. Print off several copies of each of the polyhedrons (enough for your class with extras) from Quivervision Platonic Solids.
Crayons and/or markers.
Ability to video students.
Alberta Curriculum – Mathematics grades 3-6
Describe the characteristics of 3D objects and 2D shapes and analyze the relationships, position and motion of these objects and shapes.
U.S. Common Core Math Standards
Geometry – grades 3-6
- What do I want my students to learn?
- What can my students currently understand and do?
- What do I want my students to understand and be able to do, based on the Big Ideas and specific outcomes/standards?
Big Ideas between Shapes and Objects
- 3-D objects and 2-D shapes can be analyzed according to their attributes.
- 3-D objects and 2-D shapes with similar attributes can be grouped together into classes of shapes.
- 3-D objects can be analyzed, grouped and defined based on the number and shape of faces and the number of edges and vertices.
- There are relationships between the number and shape of the faces of a 3-D object, and the number of its edges and vertices.
- By thinking about the particular attributes of a class of 2-D shapes and the relationships between those attributes, students begin to generalize about shapes, assign shapes to particular classes and construct definitions of classes of shapes.
- There are mathematical conventions that govern how 2-D shapes are classified and named. One important attribute by which 2-D shapes are classified is the number of sides.
- Congruency and symmetry are geometric properties. These properties can be used to determine what makes some shapes alike and different.
The following indicators may be used to determine whether or not students have met this outcome. Can students:
- identify the faces, edges and vertices of polyhedrons?
- identify the shape of the faces of a polyhedron?
- determine the number of faces, edges and vertices of a polyhedron?
- color a skeleton of a polyhedron, and use the Quiver iOS app to describe how the skeleton relates to the polyhedron?
- sort the Quivervision Platonic Solids according to the number of faces, edges or vertices?
- classify the Quivervision Platonic Solids according to the number of sides?
Time: 90 minutes or 2 lessons of 45 minutes each.
Assessing Prior Knowledge and Skills
- Teacher colors the Platonics Solids Starter sheet ahead of time and uses the Quiver iOS app to augment the solids on the sheet to show students. (5 mins.)
- Have students write or discuss orally what is different about each polyhedron prior to coloring and augmenting them. (15 mins.)
Instructional Strategy – Time to Play!
- Have enough sheets printed off so that students can choose at least one polyhedron to color of their choice.
- If possible, have students move together into groups of three, each with a different polyhedron.
- In their small group, each student can read aloud about their polyhedron which is printed on their sheet. (15 mins.)
- Coloring of the actual polyhedron begins! (15-25 mins.)
- Ideally at least one iPad/iPod with the Quiver iOS app installed should be available for each small group to use to augment their colored polyhedron and make it come to life. (5 mins.)
Using another device, video the student speaking about their polyhedron and using the Quiver app to make it 3D. (25 mins.) Post to the student’s eportfolio, GDrive, or blog.
- Ask the student to show you an example of a face on their polyhedron.
- Ask the student to show you an example of a vertex on their polyhedron.
- Ask the student to show you an example of an edge on their polyhedron.
- Prompt the student to describe the shape of a face on their polyhedron.
- Prompt the student to count the number of vertices on their polyhedron.
- Prompt the student to count the number of edges on their polyhedron.
- Choose two polyhedrons (one from a classmate) and ask the student to tell you something the same and something different about the shape of some of the faces of the polyhedrons.
- Choose two objects and ask the student to tell you something the same and something different about the number of vertices or edges of the polyhedrons.
By sight (not for spelling)
Have students research their polyhedron even further. Where is it found in nature? What is its significance? Some great sites to use: WolframAlpha, Instagrok, Math is Fun, Mathigon