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# reSolve: Authentic Problems: Pyramids in a Box

This sequence of four lessons focuses on working with solids and their nets. The lessons provide opportunities for students to work flexibly as they construct simple prisms and pyramids from nets they have created. Students record their mathematical thinking as they work through iterations to refine a box that has the least amount of leftover space. Each lesson is outlined in detail including curriculum links, vocabulary, materials needed, sample answers, discussion points and student resources. This sequence is part of the reSolve: Mathematics by Inquiry special topic 'Authentic Problems'.

Year level(s) Year 6
Audience Teacher
Purpose Teaching resource
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords angles, pyramids, prisms, shapes, solids

## Curriculum alignment

Curriculum connections Numeracy
Strand and focus Build understanding, Apply understanding, Space
Topics Shapes and objects
AC: Mathematics (V9.0) content descriptions
AC9M6SP01
Compare the parallel cross-sections of objects and recognise their relationships to right prisms

AC9M6M04
Identify the relationships between angles on a straight line, angles at a point and vertically opposite angles; use these to determine unknown angles, communicating reasoning

Numeracy progression Understanding geometric properties (P5)
Understanding units of measurement (P8)