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Angles in Triangles and Polygons (including Tessellation): Rich Tasks

You cannot beat a good rich task! For me, a rich task is one that both stimulates and challenges students of all ages and abilities. Here is a selection of some of my favourites.

Contents

Median Rich Tasks and Purposeful Practise keyboard_arrow_up
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There are no words to express how much I love Don Steward and his amazing resources on his Median Blog. They allow for purposeful practise, to enable students to gain fluency in key skills. But they also have more than a sprinkling of richness, that leads students merrily along the path towards hypotheses and generalisations. Amazing.

Triangles and Quadrilaterals
Isosceles Triangle Angles
Isosceles Triangles
Triangle and Quadrilateral Tessellations
Equilateral Triangle in a Rhombus
WR Somsky’s Dissections
Designs
House to Square
Slopes
Angles with Algebra
Forming Equations with Angles
Isometric Angles
Flowers
Angle Proofs

Polygons
Angles in Polygons by Chopping
Maximum Rights
Regular Polygon Angle Compilation
Ratio and Polygon Angles
Barn Roof Angles
7 pins
Isometric Angles
Star Polygons
Polygon Angle Sum
Nonagon Angles
Generalising GCSE Questions 6: Angles in Polygons
Regular Polygon Nesting
Exterior Angles and Star Polygons
Inscribed Rhombus
Rhombus Dissections 1
Polyhedra Angle Sums

Tessellations
Designing Tessellations
Triangle and Quadrilateral Tessellations
Pentomino Tessellations
Colouring in Tessellations
Semi Regular Tessellations
Convex Pentagon Tiles
Pentominoes
Trisides
Lattice Labyrinth Tessellations
Angles in Tessellations
Cairo Pentagon Tilings
Which fit better?

Worksheets
Median: Angle Questions
Median: Practise Angles 

NRICH keyboard_arrow_up
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NRICH is simply one of the best websites for rich maths problems in the whole wide world.

Semi-regular Tessellations
Which Solids Can We Make?

Other Rich Tasks keyboard_arrow_up
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A selection of some of my favourite rich tasks, including – I must confess – some of my own. For my complete collection, including my thoughts on what makes a good rich task, please visit the Rich Tasks page.

How many angles?
How many quadrilaterals?
Venn Diagrams – Angles in Triangles
Inquiry Maths 4 Pentagons
Inquiry Maths 12 Equilateral Triangles

James Tanton's Curriculum Essay July 2012: Angles in a Triangle