Lesson Plan #44
Date: Wednesday January 6th, 2016
Class: Geometry
Topic: Rotations and translations in the coordinate plane
Aim: How can we perform rotations and translations on the coordinate plane?
Objectives:
1) Students will know the rules for performing rotations and
translations on the coordinate plane.
HW #44:
Put a heading on a separate sheet of loose-leaf paper and copy the
diagram at the right and the test questions below.
State the coordinates of point P after the following transformations.
1)
5)
Rorigin,90o ( P)
2)
Rorigin,180o ( P)
3)
Rorigin, 270o ( P)
4)
Rorigin, 90o ( P)
6)
7)
T3,1 ( P)
T2, 3 ( P)
ry  x (rx  axis ( P))
Do Now:
1) Determine whether the following statements are always, sometimes or never true
A) Rigid motions preserve size and shape __________
B) A rigid motion preserves orientation _________
C) If an object was rotated to its image, then the center of rotation is found at the intersection of the line formed by two sets
of corresponding points ______
D) A vector is a ray ______
2)
3)
PROCEDURE:
Write the Aim and Do Now
Get students working!
Take attendance
Give Back HW
Collect HW
Go over the Do Now
Assignment #1:
4) The line y  x  2 is reflected through the
origin. What is the equation of the image?
 4,1 on the coordinate plane. Find the coordinates of the image
of the point with  4,1 after the following transformations.
Graph the point
Rotation of 90o
Rotation of 180o
Rotation of 270o
Rules for rotations on the coordinate plane:
Rotation of 90°:
Rotation of 180°:
Rotation of
270°:
Sample Test Questions:
1)
2)
Assignment #2:
1)
Assignment #3:
Assignment #4:
(same as point reflection in origin)
Medial Summary:
Assignment #5: Let’s go to http://www.mathwarehouse.com/transformations/translations-interactive-activity.php and practice
translation figures.
Assignment #6: Translations on the coordinate plane.
Definition: A translation (notation ) is
distance in the same direction.
a transformation of the plane that slides every point of a figure the same
Assignment #7:
Let’s go to http://www.regentsprep.org/regents/math/geometry/GT2/PracT.htm and answer some translation questions.
Assignment #8: Answer the regents test questions
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