№ files_lp_4_process_3_111529
from Pythagoras’ theorem through collaborative student activities.
Year level: Stage 5 (Mathematics K–10)
Subject: Mathematics
Topic: Circles, Cartesian plane, Pythagoras’ theorem
Document type: Classroom lesson activity plan
Curriculum reference: MAO-WM-01; MA5-NLI-P-01
Curriculum document: Mathematics K–10 Syllabus
Educational authority: NSW Education Standards Authority (NESA)
Jurisdiction: New South Wales, Australia
Copyright year: 2022
Learning intention: To understand the connection between the graph of a circle and its equation
Success criteria: Find the distance between two points; derive the equation of a circle; determine the radius from an equation; graph a circle with centre at the origin
Teaching strategies mentioned: Visibly random groups, gallery walk, Two stars and a wish peer feedback, Think-Pair-Share, Pose-Pause-Pounce-Bounce questioning
Digital tools referenced: Desmos Graphing Calculator; GeoGebra applet “Circle Equation Anatomy and Exploration”
Associated materials: PowerPoint “Going around in circles”; Appendix A “Lost bushwalker” worksheet
Activity context: Scenario of a lost bushwalker navigating relative to a waterhole
Mathematical focus: Distance formula, right-angled triangles, Cartesian coordinates, equation
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Price: 8 / 10 USD
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