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reSolve: Quarter Cartons
This lesson challenges students to use algebra and proportional reasoning to investigate how changing the size of a paper square or rectangle impacts the dimensions of a box folded from that paper. Students apply knowledge about nets of 3D objects and explore algebraic relationships through a set of hands-on activities making origami boxes. The context of paper folding encourages students to physically manipulate objects to investigate relationships and demonstrate their findings. The sequence could serve as an introduction to geometric proofs. 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 program.
|Year level(s)||Year 8|
|Teaching strategies and pedagogical approaches||Mathematics investigation|
|Keywords||factors, area, volume, prisms, nets, origami, dilation, scale, simplification|
|Strand and focus||Algebra, Space, Build understanding, Apply understanding|
|Topics||Proportion, rates and ratios, Patterns and algebra, Algebraic expressions, Area, volume and surface area|
|AC: Mathematics (V9.0) content descriptions||
Solve problems involving the volume and capacity of right prisms using appropriate units
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning
Create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties
Understanding units of measurement (P9)
Understanding geometric properties (P6)
Number patterns and algebraic thinking (P7)
reSolve Maths by Inquiry
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