Individual
This activity has students making paper folds to make a cube. During the process of folding, each quadrilateral will be identified and attributes will be listed.
Six square pieces of multi-colored paper for folding (4", 5", or 6" sizes work best)
Additional Resources
At the end of the folding activity, have students complete the accompanying
worksheet by listing each of the quadrilaterals and then give essential/ nonessential
characteristics, examples and non-examples. See Quadrilateral Worksheet.
The semantic Feature Analysis Grid is an excellent activity to focus student attention to the attributes of each quadrilateral. See Feature Analysis Grid.
Student knowledge of parallel lines, and angles.
3. Reason mathematically.
5. Make mathematical connections.
Invitation to Learn
Which quadrilaterals can be used to make a cube? Can we fold paper to make a
cube? Inform students they will be making paper folds that will be used to make
a cube. During the process of folding, each quadrilateral will be identified
and attributes will be listed. Fold cube using the directions that follow.
Instructional Procedures
To make the Cube, six identical units must be folded. It is important to do all the folds the same way. Reversing/mirroring step three will change the unit so that it will not fit with the others.
Possible Extensions/Adaptations/Integration
This can be an introductory lesson in learning the attributes of the different quadrilaterals. I teach geometry during the month of December, because there are so many shapes associated with Christmas. We paper fold many different items and use them to decorate the Christmas tree. I have a partnership with a local business where we decorate their Christmas tree in exchange for items we need in the classroom.
Homework & Family Connections
These cubes can be used as Christmas tree ornaments.
Credit: This is the Sonobe module credited to Mitsunobi Sonobe.
Origami module used is the Sonobe module credited to Mitsunobu Sonobe