# Mathematics- measurement and geometry – angles and shapes

Our learning intention for our unit on angles and shapes is for students to foster an understanding of how angles are measured and how they relate to 2- dimensional shapes.

These photos show a progression of great knowledge and understanding from being able to construct and measure angles of various degrees of turn to understanding the role they play in shapes such as triangles, quadrilaterals and other polygons.

Students have made some amazing discoveries such as the angle sum of any triangle is always 180 degrees because its angles make a straight angle (half turn) when put together.

Currently some students are even investigating what happens to a shapes angle measure when sides are added one at a time. There is a pattern here, a direct relationship between the number of a shapes sides and the total angle measure. As students discover this pattern, more posts will be made regarding this and other discoveries.

Other students have even progressed beyond this to investigating circles and the relationship between a circle’s diameter and its circumference. They used this understanding to create a meter long trundle wheel designed to measure distances on the ground.