2017-08-09 73K 73 0 0

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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. ID: 577375

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## Presentations text content in 5. Shape and Angles

5. Shape and Angles

Slide2Shape 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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Slide3Shape 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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Slide4Shape and Angles – Bearings

learning objectives:

understand, draw and measure bearings (5.5)

calculate bearings and solve bearing problems (5.5)

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Slide5Shape 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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Slide6Shape 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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Slide7Shape 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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Slide8Shape 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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Slide9Your turn