axis, and rotations of multiples rotational and line symmetry symmetry (PS) [CCT] investigate the line symmetries and the rotational symmetry of circles and of of 90° on the Cartesian using describing patterns and investigating diagrams involving circles, such as a sector and a circle with a marked chord or coordinates. Identify line and different ways to produce the same tangent [CCT] rotational symmetries transformational changes, such as using two successive reflections to provide the same result as a translation, or using digital technologies to experiment with, create and re-create patterns using combinations of flips, slides, turns and enlargements or reductions building on students’ understanding of the reflection and rotation of figures, and reflection and rotational symmetry, to identify combinations of transformations that produce the same result, and to distinguish this as an example of how mathematical results can often be obtained using multiple alternative methods Geometric Reasoning / label and name triangles and quadrilaterals (egg ABCD) in text and on diagrams 1 2 3 4 use the common conventions to mark equal intervals on diagrams Angles • recognise and classify types of triangles on the basis of their properties ACMMG165 Classify triangles identifying side and angle properties of angled according to their side and scalene, isosceles, right-angled and triangles, right-angled triangles, obtuse-angled triangles, scalene triangles, angle properties and describe obtuseangled triangles isosceles triangles and equilateral triangles) [CCT] recognise that a given triangle may belong to more than one class (U) [CCT] quadrilaterals describing squares, rectangles, explain why the longest side of a triangle is always opposite the largest angle (R) rhombuses, parallelograms, kites and [CCT] trapeziums explain why two sides of a triangle must together be longer than the third side (R) [CCT] sketch and label triangles from a worded or verbal description (U)(F) distinguish between convex and non-convex quadrilaterals (the diagonals of a
symmetry (PS) [CCT] investigate the line symmetries and the rotational symmetry of circles and of diagrams involving circles, such as a sector and a circle with a marked chord or tangent [CCT] axis, and rotations of multiples of 90° on the Cartesian using coordinates. Identify line and rotational symmetries rotational and line symmetry describing patterns and investigating different ways to produce the same transformational changes, such as using two successive reflections to provide the same result as a translation, or using digital technologies to experiment with, create and re-create patterns using combinations of flips, slides, turns and enlargements or reductions building on students’ understanding of the reflection and rotation of figures, and reflection and rotational symmetry, to identify combinations of transformations that produce the same result, and to distinguish this as an example of how mathematical results can often be obtained using multiple alternative methods Geometric Reasoning / Angles 1 2 3 4 label and name triangles and quadrilaterals (egg ABCD) in text and on diagrams use the common conventions to mark equal intervals on diagrams • recognise and classify types of triangles on the basis of their properties triangles, right-angled triangles, obtuse-angled triangles, scalene triangles, isosceles triangles and equilateral triangles) [CCT] recognise that a given triangle may belong to more than one class (U) [CCT] explain why the longest side of a triangle is always opposite the largest angle (R) [CCT] explain why two sides of a triangle must together be longer than the third side (R) [CCT] sketch and label triangles from a worded or verbal description (U)(F) distinguish between convex and non-convex quadrilaterals (the diagonals of a ACMMG165 Classify triangles according to their side and angle properties and describe quadrilaterals identifying side and angle properties of scalene, isosceles, right-angled and obtuseangled triangles describing squares, rectangles, rhombuses, parallelograms, kites and trapeziums angled