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Equal areas

A series of lessons designed to build and extend student knowledge of calculating and comparing the area, perimeter and height of shapes. Students initially work collaboratively to share their understandings and pose questions. Guidance is given on how to interpret student responses in order to diagnose misconceptions, and follow-up lessons address these. Students then proceed to work through examples. Annotated student examples are provided, along with question prompts to guide reflection on learning. A PowerPoint presentation and templates for teachers to use throughout the inquiry are provided.

Additional details

Year level(s) Year 9
Audience Teacher
Purpose Assessment task, Assessment advice, Evidence-based approaches, Extension, Planning support, Student task, Teaching resource, Teaching strategies
Format Downloadable resources
Teaching strategies and pedagogical approaches Collaborative learning, Differentiated teaching, Explicit teaching, Feedback, Growth mindset, Mathematics investigation, Metacognitive strategies, Questioning, Structuring lessons, Worked examples
Keywords area, perimeter, height, radius, equal, A=pi

Curriculum alignment

Curriculum connections Numeracy, Critical and creative thinking
Strand and focus Measurement, Apply understanding, Build understanding
Topics Area, volume and surface area, Pythagoras and trigonometry, Shapes and objects
AC: Mathematics content descriptions
ACMMG216 Calculate areas of composite shapes
National numeracy learning progression Understanding units of measurement - UuM9

Copyright details


Inquiry Maths


© Andrew Blair 2012-21. Creative Commons BY-NC-SA 4.0.