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TRANSFORMATIONS, TESSELLATIONS, AND SIMILAR TRIANGLES

Many designs occur naturally or man-made and display properties of transformation.  We will look at these types of transformations:  translation, reflection, and rotation. 

M. C. Escher, who lived from 1898 to 1972, is a famous Dutch artist who created wonderful tessellations, which were drawings and paintings of fish, birds, and reptiles, in which he intertwined mathematics with transformations.   The tessellations were congruent shapes that covered the surface of the artwork and fit together like intricate puzzle pieces. 

Similar triangles have the same shape but are different in size.  The lengths of the corresponding sides are proportional (connect with the same ratio) and the corresponding angles are congruent (equal in measure).

CUSTOMARY UNITS CONVERSIONS AND COMPUTATIONS

We’ll switch gears and review the customary system of measurement which is used in the United States and England.  We will practice conversions and computations using conversions from the customary units conversions chart.



Transformations




Tessellations




Similar Triangles



Customary Units – Conversions and Computations




Customary Units – Conversion Charts






Below are additional educational resources and activities for this unit.
 
Click on the icon to find and practice topics for this unit.
 
Unit 19 Translation, Rotation, and Reflection Activity
 
Unit 19 Customary Units Activity