Transformations Project Jatzury Olascoaga TEKS The student will

Transformations Project Jatzury Olascoaga

TEKS The student will demonstrate an understanding of geometry and spatial reasoning. The student is expected to sketch the results of translations, rotations, and reflections on Quadrant I coordinate grid. The student is expected to identify the transformation that generates one figure from the other when given two congruent figures on a Quadrant I coordinate grid.

TEKS continue Transformation- Students will understand that a transformation is the movement of a figure. Rotation-Students will understand that a rotation is the turning of a figure around a single point. Translation-Students will understand that a translation is the sliding of a figure across a line. Reflection -Students will understand that a reflection is the flipping of a figure across a line.

Transformation means changing the shape by using rotation (turning), Reflection (flipping), Translation (sliding), or resizing (dilation). In other words, after any of these transformations turn, flip, or slide, the shape still has the same size, area, angles, and the line lengths.

Different types of transformations

Example Transformation is a copy of a geometric figure. For example, whenever you copy and paste a picture on your computer is consider to be a type of transformation

Link http: //math. ucr. edu/home/baez/mathematical/cube_c oxeter_vertex_edge. png https: //johncarlosbaez. wordpress. com/2012/05/27/sy mmetry-and-the-fourth-dimension-part-2/

Translation is a motion of transformation of a plane that moves every point of the plane and a specified distance in a specified direction along a straight line. Translation usually means sliding, or moving a shape without rotating or flipping it.

Example

Link http: //www. mathsaccelerator. com/geometry/images/a ircraft-formation. jpg

Reflection A transformation in which a geometric figure is reflected across a line, creating a mirror image. Reflections are seen everywhere, in mirrors, glass, and even on lakes. Every point is the same distance from the central line and reflection has always the same size as the original image.

Example The line of the reflection is in the middle of both points

Link http: //upload. wikimedia. org/wikipedia/commons/b/be/ Flower_reflection. jpg

Rotation is a transformation of the plane determined by holding one point- the center-fixed and rotating the plane about this point by a certain direction such as the number of degrees like the clockwise or the counterclockwise. In other words, turning around a center. The distance from the center to any point of the shape stays the same.

Example All the color lines have the same distance from the center, and also they form 90 degree angles. That is why it makes a rotation of 90 degrees.

Example A rotation of 180 degrees around the origin has a formula that connects back to algebra. T(x, y)=(-x, -y)

Link https: //www. mathsisfun. com/geometry/images/londo n-eye. jpg https: //www. mathsisfun. com/geometry/symmetryrotational. html

The End http: //www. ixl. com/math/grade-1/flip-turn-and-slide http: //www. ixl. com/math/grade-5/reflection-rotationand-translation This Websites will help students practice with different transformation figures. The top website will be for first grade, and the second website will be for fifth grade.