1. 5. Shape and Angles

2. 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
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3. 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
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4. Shape and Angles – Bearings
learning objectives:
understand, draw and measure bearings (5.5)
calculate bearings and solve bearing problems (5.5)
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5. 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)
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6. 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)
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7. 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)
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8. 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)
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9. Your turn