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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'.
|Year level(s)||Year 4|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||area, symmetry, equivalent fractions, maths investigations, irregular polygons|
|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||
Understanding units of measurement - UuM6, UuM7
Understanding geometric properties - UGP4
reSolve Maths by Inquiry
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