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STRAND: Geometry and Measurement LEVEL: 5 In a range of meaningful contexts, students will be engaged in thinking mathematically and statistically. They will solve problems and model situations that require them to: GM4-5: Identify classes of two- and three-dimensional shapes by their geometric properties. GM5-5: Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties. GM6-4: Deduce and apply the angle properties related to circles. LEARNING INTENTION: SUCCESS CRITERIA: Know, understand and do. I am learning to deduce and apply the angle properties of intersecting lines. I am learning to deduce and apply the angle properties of parallel lines (with a transversal). I am learning to deduce and apply the angle properties of polygons. I am able to find the unknown angle of intersecting lines. I am able to find the unknown angle of parallel lines. I am able to give the correct geometric reason for finding the unknown angle. I can correctly find the unknown angles in polygons. I can use the sum of the interior angles rule to find unknown angles. I can use the sum of the exterior angles rule to find unknown angles. PRIOR KNOWLEDGE: GM4-5 LINKED OBJECTIVES: GM5-6 VOCABULARY: parallel, intersecting, transversal, polygons, interior, exterior, sum, vertically opposite, alternate, co-interior, corresponding, symmetry, translation, rotation, regular, irregular, supplementary, complementary DIAGNOSTIC SNAPSHOT: GM5-5: Deduce the angle properties of intersecting and parallel lines and the angle properties of polygons and apply these properties. KEY COMPETENCIES: Thinking Relating to others Using language, symbols and texts Managing self Participating and contributing INTRODUCING: Angles at a point Angles on a straight line Vertically opposite angles Draw intersecting (and parallel) lines and measure angles. EXPLORING: Angle properties in parallel lines The sum of the exterior angles of a polygon *angles in “Maths and learning through language” *sharp corners “figure it out geometry” EXTENDING: Deducing the rule for finding the interior angle sum of a polygon Finding an unknown angle using at least 2 reasons *angle statements in “Maths and learning through language”