reSolve: Authentic Problems: Expanded Square Image

Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.

Go to website

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'.

Additional details

Year level(s) Year 4
Audience Teacher
Purpose Teaching resource
Format Downloadable resources
Teaching strategies and pedagogical approaches Mathematics investigation
Keywords area, symmetry, equivalent fractions, maths investigations, irregular polygons

Curriculum alignment

Curriculum connections Numeracy
Strand and focus Number, Measurement, Build understanding, Apply understanding, Geometry
Topics Fractions, Shapes and objects, Area, volume and surface area
AC: Mathematics content descriptions
ACMMG087 Compare the areas of regular and irregular shapes by informal means
ACMMG088 Compare and describe two dimensional shapes that result from combining and splitting common shapes, with and without the use of digital technologies
ACMNA077 Investigate equivalent fractions used in contexts
ACMMG091 Create symmetrical patterns, pictures and shapes with and without digital technologies
National numeracy learning progression Interpreting fractions - InF4, InF5
Understanding units of measurement - UuM6, UuM7
Understanding geometric properties - UGP4

Copyright details

Organisation

reSolve Maths by Inquiry

Copyright

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