Angles in Polygons Write definitions for the following

Angles in Polygons • Write definitions for the following: • A polygon • Quadrilateral • Vertex • Sum of two numbers • Interior Angle • Exterior angle Student response

Student response Research https: //www. youtube. com/ watch? v=Nl_fg. Cz 3 v 8 A Give five examples where you see Polygons in real life e. g. Octagons - Honeycomb

Research Evidence • The interior angle of sum of a triangle is 180 o Student response Quadrilateral How many triangles can it be divided into? 2 How many degrees do the angles total? 180 o x 2 = 360 o A quadrilateral can fit 2 triangles inside it Remember to only do it from one vertex

Research Evidence • The interior angle of sum of a triangle is 180 o Student response Pentagon How many triangles can it be divided into? How many degrees do the angles total? Student response Hexagon How many triangles can it be divided into? How many degrees do the angles total?

Research Evidence • The interior angle of sum of a triangle is 180 o Student response Heptagon How many triangles can it be divided into? How many degrees do the angles total? Student response Octagon How many triangles can it be divided into? How many degrees do the angles total?

Research Evidence • The interior angle of sum of a triangle is 180 o Student response Nonagon How many triangles can it be divided into? How many degrees do the angles total?

Research Evidence Complete the table with Information you have worked out Can you predict the Interior angle of a 12 sided regular polygon? Can you predict the exterior angle of a 14 sided regular polygon? Can you come up with a formula? • Watch this video to check your formula from before https: //corbettmaths. com/2012/08 /10/angles-in-polygons/ Student response Quadrilateral 4 2 3600 360÷ 4=90 180 – 90= 90

Investigation Explore • Follow the link below and the questions https: //nrich. maths. org/polygonrings Student response

Investigation Explore • Follow the link below and the questions https: //nrich. maths. org/semiregular Student response

Exam Practice Model answer 1 Student response • We know the formula from before The link is repeated below https: //corbettmaths. com/20 12/08/10/angles-in-polygons/

Exam Practice Model answer 2 • We know the formula from before The link is repeated below https: //corbettmaths. com/20 12/08/10/angles-in-polygons/ Student response

Exam Practice Exam • Complete the following questions • https: //www. mathsgenie. co. uk/resources/4 -anglesin-polygons. pdf • https: //corbettmaths. c om/wpcontent/uploads/2013/ 02/angles-in-polygonspdf 1. pdf • Exam practice (and other parts of project) to be reviewed in lessons in September Student response