Second Look  Paper Folding for Learning 
Paper Folding and Conic Sections How the conic sections can be approximated by paperfolding activities and proves why they work. 
Sharing Teaching Ideas: Angle Limit  A Paper Folding Investigation Students repeatedly fold a sheet of paper in a prescribed manner and discover that the measure of bisected supplementary angles formed by successive folds approaches 60 degrees, regardless of the initial angle chosen. 
Is There a “Best” Rectangle? In trying to find the ideal dimensions of rectangular paper for folding origami, students explore various paper sizes, encountering basic number theory, geometry, and algebra along the way. 
Illuminations Lesson: Dividing a Town into Pizza Delivery Regions
Students will construct perpendicular bisectors, find circumcenters,
calculate area, and use proportions to explore the following problem:
You are the owner of five pizzerias in the town of Squaresville. To
ensure minimal delivery times, you devise a system in which customers call a
central phone number and get transferred to the pizzeria that is closest to
them. How should you divide the town into five regions so that every house
receives delivery from the closest pizzeria? Also, how many people should staff
each location based on coverage area? 
Representation Standard  PreK through Grade 12
Instructional programs from prekindergarten through grade 12 should enable all students to—
