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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'.
|Teaching strategies and pedagogical approaches
|area, symmetry, equivalent fractions, maths investigations, irregular polygons
|Strand and focus
|Number, Measurement, Build understanding, Apply understanding, Space
|Fractions, Shapes and objects, Area, volume and surface area
|AC: Mathematics (V9.0) content descriptions
Recognise ways of measuring and approximating the perimeter and area of shapes and enclosed spaces, using appropriate formal and informal units
Find equivalent representations of fractions using related denominators and make connections between fractions and decimal notation
Recognise line and rotational symmetry of shapes and create symmetrical patterns and pictures, using dynamic geometric software where appropriate
Understanding units of measurement (P6)
Interpreting fractions (P5)
Understanding geometric properties (P4)
reSolve Maths by Inquiry
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