Hipparchus of Nicaea (c. 190 – c. 120 BC) was a Greek mathematician and the greatest astronomer of antiquity. Hipparchus is said to have introduced the degree into Greece and is considered the founder of trigonometry.
ANGLES
Can we construct a pentagon that tessellates?
Key questions
1. How can we describe and measure turn?
2. What are the angle sums of intersecting lines?
3. What are the angle properties of polygons?
4. Which polygons tessellate?
5 lessons
Literacy
stories that set a frame or background
stories that accompany or intertwine
stories that introduce
stories that explain
stories that ask a question
stories that entertain
Alice's Adventures in Wonderland by Lewis Carroll
The Great Knight of Angleland by Cindy Neuschwander
Introduce...
triangles in circles - 1, 3
triangles and more triangles - 2, 3
ks2 sats angles questions - 1, 2, 3
angles quiz - 1, 2, 3
angle notation - 1
fractions of 360 - 1
Develop...
triangulation - 2, 3
regular polygons - 2, 3
tangrams - 2, 3
overlapping polygons - 2, 3, 4
parallel lines - 2
Extend...
pentagon tilings - 3, 4
rhombus dissectons - 3, 4
penrose tilings - 3, 4
angle chasing - 2, 3
return of the star polygon - 2, 3
tiling with pentagons - narrative