TRANSFORMATIONS MS GONZALEZ TEKS FOR 8 TH GRADE

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TRANSFORMATIONS MS. GONZALEZ

TRANSFORMATIONS MS. GONZALEZ

TEKS FOR 8 TH GRADE • (8. 10) Two-dimensional shapes. The student applies mathematical

TEKS FOR 8 TH GRADE • (8. 10) Two-dimensional shapes. The student applies mathematical process standards to develop transformational geometry concepts. The student is expected to generalize the properties of orientation and congruence of rotations, reflections, translations, and dilations of two-dimensional shapes on a coordinate plane.

TRANSFORMATION DEFINITION A transformation is a change in where the shape is on a

TRANSFORMATION DEFINITION A transformation is a change in where the shape is on a graph by moving it by turning, resizing, sliding, or flipping the shape.

TRANSFORMATION EXAMPLE We have a triangle as such: If we wanted to transform it,

TRANSFORMATION EXAMPLE We have a triangle as such: If we wanted to transform it, it could end up like this: They are both the same shape with the same side lengths, area, and perimeter. We just changed how it looks.

TRANSFORMED FIGURE EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/transformation 6. html

TRANSFORMED FIGURE EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/transformation 6. html

TRANSLATION DEFINITION Translating a figure means we can move it without turning it, or

TRANSLATION DEFINITION Translating a figure means we can move it without turning it, or moving it without flipping it.

TRANSLATION EXAMPLE If we have a figure like this: Translating it would look like

TRANSLATION EXAMPLE If we have a figure like this: Translating it would look like this: They are the same shape with the same perimeter, area and side lengths; we just moved its position either up, down, left or right.

TRANSLATED FIGURE MOVING EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/translation 6. html

TRANSLATED FIGURE MOVING EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/translation 6. html

REFLECTION DEFINITION When we reflect a shape, we make the shape look at itself

REFLECTION DEFINITION When we reflect a shape, we make the shape look at itself in the mirror (or in our case, flip the shape over a line).

REFLECTION EXAMPLE If we had a shape like this: Reflecting it would look like

REFLECTION EXAMPLE If we had a shape like this: Reflecting it would look like this: They are the same shape with the same area, perimeter and side lengths; but we just flipped it over a specified line, or made the shape look at itself in the mirror.

REFLECTED FIGURE MOVING EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/reflection 6. html

REFLECTED FIGURE MOVING EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/reflection 6. html

ROTATION DEFINITION When we rotate a shape, we turn the shape while keeping one

ROTATION DEFINITION When we rotate a shape, we turn the shape while keeping one of its points in the same place.

ROTATION EXAMPLE If we have a figure like this with a specific point: It

ROTATION EXAMPLE If we have a figure like this with a specific point: It would look like this after we rotated it: It is the same shape with the same side lengths, area and perimeter; just spun around one of its points.

ROTATED FIGURE MOVING EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/rotation 6. html

ROTATED FIGURE MOVING EXAMPLE • http: //www. harcourtschool. com/glossary/math_advantage/definitions/rotation 6. html