5. Shape and Angles.

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Presentation transcript:

5. Shape and Angles

Shape and Angles Assumed knowledge recall and use properties of angles angles at a point angles at a point on a straight line perpendicular lines vertically opposite angles distinguish between scalene, isosceles, equilateral and right-angled triangles understand and use the angle properties of triangles use the angle sum of a triangle is 180° understand and use the angle properties of intersecting lines Reference material Text 10 Ticks MEP

Shape and Angles – Parallel Lines learning objectives: understand and use the angle properties of parallel lines (5.1) mark parallel lines on a diagram (5.1) use the properties of corresponding and alternate angles (5.1, 5.4) give reasons for angle calculations Reference Material Text: 10 Ticks: MEP:

Shape and Angles – Bearings learning objectives: understand, draw and measure bearings (5.5) calculate bearings and solve bearing problems (5.5) Reference Material Text: 10 Ticks: MEP:

Shape and Angles – Quadrilaterals learning objectives: recognise and classify quadrilaterals (8.3) understand and use the angle properties of quadrilaterals (5.3) explain why the angle sum of a quadrilateral is 360° (5.2) Reference Material Text: 10 Ticks: MEP:

Shape and Angles – Triangles learning objectives: understand the proof that the angle sum of a triangle is 180° (5.2) understand a proof that the interior angle of a triangle ie equal to the sum of the interior angles at the other two vertices (5.2) use the size/angle properties of isosceles and equilateral triangles (5.3, 5.6) recall and use these properties of angles in more complex problems (5.3, 5.6) Reference Material 10 Ticks: MEP:

Shape and Angles – Polygons learning objectives: calculate and use the sums of the interior angles of polygons (5.7) use geometric language appropriately and recognise and name pentagons, hexagons, heptagons, octagons and decagons (5.7) use the angle sums of irregular polygons (5.7) calculate and use the angles of regular polygons (5.7) use the sum of the interior angles of an n sided polygon (5.7) use the sum of the exterior angles of any polygon is 360° (5.7) use the sum of the interior and exterior angle is 180° (5.7) find the size of each interior angle or the size of each exterior angle or the number of sides of a regular polygon (5.7) Reference Material 10 Ticks: MEP:

Shape and Angles – Tessellation learning objectives: understand tessellations of regular and irregular polygons and combinations of polygons (5.7) explain why some shapes tessellate when others do not (5.7) Reference Material Text: 10 Ticks: MEP:

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