Content Area: Math

 

Index: 4.2B Grade 6 CPI 1

 

Standard: 4.2 - Geometry and Measurement

 

Strand: B - Transforming Shapes

 

Cumulative Progress Indicator: 1 - The student will use a translation, a reflection, or a rotation to map one figure onto another congruent figure.

 

Grade: 6

 

Sample Activities:

 

·        Working in small groups, students tile a portion of their desktop using oak-tag copies they have cut of a shape they have created by taping together two pattern blocks. Each group presents its results. The teacher then asks the students to compare the results of the different groups and identify examples of the different transformations used.

 

·        Students investigate how transformations affect the size, shape, and orientation of geometric figures. A reflection or flip is a mirror image. A translation or slide moves a figure a specified distance and direction along a straight line. A rotation or turn is a turning motion of a specified amount and direction about a fixed point, the center. These transformations do not change the size and shape of the original figure. However, a dilation enlarges (stretches) or reduces (shrinks) a figure, producing a new figure with the same shape but a different size.

 

·        Students use Tesselmania! software to manipulate and transform colorful shapes on the computer screen and create complex tessellations.

 

·        Students continue to look for and report on transformations they find in the world around them.