![Triangle Congruence Theorems](http://s1.studyres.com/store/data/015333357_1-6b4a71ec702b42f8eb71905adb0c2827-300x300.png)
Euclidean Geometry and History of Non
... Euclidean Geometry and History of Non-Euclidean Geometry The term non-Euclidean geometry (also spelled: non-Euclidian geometry) describes both hyperbolic and elliptic geometry, which are contrasted with Euclidean geometry. The essential difference between Euclidean and nonEuclidean geometry is the n ...
... Euclidean Geometry and History of Non-Euclidean Geometry The term non-Euclidean geometry (also spelled: non-Euclidian geometry) describes both hyperbolic and elliptic geometry, which are contrasted with Euclidean geometry. The essential difference between Euclidean and nonEuclidean geometry is the n ...
SS1 Classifying shapes
... Ask learners to share their criteria for sorting the shapes. Show how their four groups may be displayed using two-way tables. Help them to translate what they say into ‘official’ mathematical language such as: 앫 names of polygons (triangle, rhombus, regular etc.); 앫 names of angles (interior, exter ...
... Ask learners to share their criteria for sorting the shapes. Show how their four groups may be displayed using two-way tables. Help them to translate what they say into ‘official’ mathematical language such as: 앫 names of polygons (triangle, rhombus, regular etc.); 앫 names of angles (interior, exter ...
Y3 New Curriculum Maths planning 5
... Children extend their knowledge of 2–D shapes. They know that a quadrilateral is any flat shape with four straight sides. They choose a shape to match properties described by others; for example, they find a shape that is 'half a circle', or 'is not a right–angled triangle' or 'has four right angles ...
... Children extend their knowledge of 2–D shapes. They know that a quadrilateral is any flat shape with four straight sides. They choose a shape to match properties described by others; for example, they find a shape that is 'half a circle', or 'is not a right–angled triangle' or 'has four right angles ...
2.2 Angles Formed by Parallel Lines
... Try:If you are given one interior angle and one exterior angle of a triangle, can you always determine the other interior angles of the triangle? Explain, using diagrams. ...
... Try:If you are given one interior angle and one exterior angle of a triangle, can you always determine the other interior angles of the triangle? Explain, using diagrams. ...
Tessellation
![](https://commons.wikimedia.org/wiki/Special:FilePath/Ceramic_Tile_Tessellations_in_Marrakech.jpg?width=300)
A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular polygonal tiles all of the same shape, and semi-regular tilings with regular tiles of more than one shape and with every corner identically arranged. The patterns formed by periodic tilings can be categorized into 17 wallpaper groups. A tiling that lacks a repeating pattern is called ""non-periodic"". An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern. In the geometry of higher dimensions, a space-filling or honeycomb is also called a tessellation of space.A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons. Such tilings may be decorative patterns, or may have functions such as providing durable and water-resistant pavement, floor or wall coverings. Historically, tessellations were used in Ancient Rome and in Islamic art such as in the decorative tiling of the Alhambra palace. In the twentieth century, the work of M. C. Escher often made use of tessellations, both in ordinary Euclidean geometry and in hyperbolic geometry, for artistic effect. Tessellations are sometimes employed for decorative effect in quilting. Tessellations form a class of patterns in nature, for example in the arrays of hexagonal cells found in honeycombs.