reSolve: Authentic problems – expanded square

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical thinking and justify their designs. 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'.

Resource details

Year level

Year 4

Purpose

Teaching resource

Strand

Number Measurement Space

Topic

Fractions Shapes and objects Area, volume and surface area

Audience

Teachers

Format

Downloadable resource

Australian Curriculum code

AC9M4M02 AC9M4N03 AC9M4SP03

Numeracy progression

Understanding units of measurement (P6) Interpreting fractions (P5) Understanding geometric properties (P4)

Publisher

reSolve Maths by Inquiry

Copyright

© Australian Government Department of Education, Skills and Employment 2021. Creative Commons BY-NC-SA 4.0.

Keywords

mathematical investigation symmetry equivalent fractions irregular shape