MOTION GEOMETRY

Geometry

SolveProblems

Organize

Model

Compute

Communicate

Measure

Reason

Analyze

TRANSFORMATIONS

The result of moving a shape according to a rule; translations, reflections, and rotations are all ways to transform shapes.

OUTCOMES:

Perform a single transformation (translation, rotation or reflection) of a 2-D shape, and draw and describe the image.

Identify and describe a single transformation, including a translation, rotation and reflection of 2-D shapes.

TRANSLATIONS:

The result of sliding a shape along a straight line.

Translation Rule: A way of describing a translation with pictures or numbers. Ex: 2 units left, 2 units up

INTERACTIVE PRACTICE

http://www.teacherled.com/resources/translation/translationload.html

WHAT IS THE TRANSLATION RULE?

TRANSLATE: 2 UNITS RIGHT, 2 UNITS DOWN

TRANSLATE: 3 UNITS LEFT, 4 UNITS UP

GENERAL PROPERTIES TO IDENTIFY TRANSLATIONS:

the 2-D shape and its image are congruent (size and shape are the same)

the 2-D shape and its image have the same orientation (that is, if we go around the object ABCD in a clockwise direction, we should be able to also go around its image A'B'C'D' in a clockwise direction.)

PRACTICE

Lesson #1: Page 153, # 1, 2 & 3 Tasks # 1, 2, 3, & 4 Workbook, page 37 Extra Practice Sheets 1 & 2

REFLECTION:

The result of flipping a 2-D shape across a line of reflection.

Line of Reflection: A line that falls exactly halfway between the points of a shape and the matching points of its reflection.

GENERAL PROPERTIES TO IDENTIFY REFLECTIONS:

- a 2-D shape and its image are congruent

- a 2-D shape and its image are of opposite orientation (This is, if we go around the object ABCD in a clockwise direction, the image A'B'C'D‘ would require a counter-clockwise direction.)

PRACTICE

Lesson # 3: Page 158, # 1, 2, 3, 4, & 9 Tasks # 7, 8, & 9 Workbook pages 38 & 39

ROTATION:

The result of turning a shape. Center of Rotation: The point that a shape

turns around Clockwise (cw): The direction a clock’s hands

move. Counterclockwise (ccw): The opposite

direction to clockwise. Orientation: When the orientation of a shape

changes, the vertices of the shape will be in a different order.

GROUP ACTIVITY

INTERACTIVE PRACTICE

TeacherLED Interactive Whiteboard Resource Rotation Around Point

YOU MUST DESCRIBE:

the direction of the turn the fraction of the turn the point of rotation

PRACTICE

Lesson # 4: Page 160, # 2, 3, 4, 5, 6, & 9 Workbook pages 40