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# Shapes and circles

This sequence of lessons requires the use of formulas to solve problems involving the circumference and area of shapes. Students will work in teams to determine lines of symmetry of a rectangle compared to a square, while also determing whether a right angle is acute, obtuse or neither. The proceeding lessons focus on students developing claims to support their findings, which are accompanied by annotated student examples.

Year level(s) Year 8
Audience Student, Teacher
Teaching strategies and pedagogical approaches Collaborative learning, Differentiated teaching, Feedback, Growth mindset, Mathematics investigation, Questioning, Metacognitive strategies, Worked examples
Keywords angles, interior angles, polygons, circumferance, regular shapes, quadrilaterals, area, radius, diameter

## Curriculum alignment

Curriculum connections English, Numeracy
Strand and focus Geometry, Measurement, Apply understanding, Build understanding
Topics Angles and geometric reasoning, Area, volume and surface area, Operating with number, Pythagoras and trigonometry, Length, Shapes and objects
AC: Mathematics content descriptions
ACMMG197 Investigate the relationship between features of circles such as circumference, area, radius and diameter. Use formulas to solve problems involving circumference and area
National numeracy learning progression Understanding geometric properties
Understanding units of measurement - UuM9