Quarter Cartons

Australian curriculum number (ACMNA191; ACMNA192; ACMMG198; ACMMG202)

Students use algebra and proportional reasoning to investigate how changing the size of a paper rectangle affects the dimensions of a box folded from that paper.

This sequence is for students who:

  • can calculate volumes of rectangular prisms
  • are familiar with relating nets to 3D solids
  • can recognise and work with fractions as part of a whole.


Lesson 1: Quarter Cartons

Students fold origami boxes from proportional paper rectangles, compare the dimensions of the boxes, and create an algebraic formula for the volume of a box folded from a paper rectangle of any dimensions.


Last updated June 5 2020.