TRANSFORMATIONS
Enduring Understanding: Develop a better understanding of how to use multiple transformations including translations, reflections, and/or rotations to create congruent figures. Develop a better understanding of how to use geometric properties to locate points on a coordinate grid.
Essential Questions:
· What is a trapezoid?
· Where is the origin on a coordinate grid?
· What does it mean to rotate a figure?
· What is meant by translation?
· What is meant by reflection?
· What is meant by transformations?
· What is meant by “rotate about a point”?
· Does a figure change dimensions when transformed?
Lesson Overview:
· Before allowing the students the opportunity to start the activity: access their prior knowledge regarding how to perform multiple transformations.
· How is a problem situation decoded so that a person understands what is being asked?
· How will the students make their thinking visible?
· Use resources from your building.
EALRs/GLEs
1.3.3
1.3.4
Item Specifications: GS02
Assessment:
· Use WASL format items that link to what is being covered by the classroom activity
· Include multiple choice questions
Transformations
1. Make a small trapezoid having one vertex at the origin of a coordinate plane.
2. Rotate it about the origin through angles of:
a. 90 degrees
b. 180 degrees
c. 270 degrees
d. 360 degrees
Which of your previous rotations is this last one equivalent to? ______
______
3. Start again with the trapezoid well away from the origin of the coordinate plane.
Rotate it about a point in the middle of a side of the original trapezoid. Use these angles:
a. 90 degrees
b. 180 degrees
c. 270 degrees
4. Make a small 45-45-90 triangle well away from the origin of the coordinate plane.
Rotate it about the origin, using these angles:
a. 90 degrees
b. 180 degrees
c. 270 degrees
d. 360 degrees
5. Study Figures I and II.
Which transformation of Figure I is shown in Figure II?
O A. Rotation
O B. Reflection
O C. Translation
O D. No transformation
6. Study figures I and II.
Which transformation, if any, of Figure I is shown in Figure II?
O A. No transformation
O B. Reflection
O C. Rotation
O D. Translation
7. Which represents a translation of the figure?
8.
Triangle is apparently –
O A. A translation of triangle ABC across the x-axis
O B. A 90° clockwise rotation of triangle ABC about the origin
O C. A reflection of triangle ABC across the y-axis
O D. A reflection of triangle ABC across the x-axis
9. was obtained from by a rotation about the point P.
Which indicates the correspondence of the vertices?
O A.
O B.
O C.
O D.
10. Which is the apparent image of X when triangle WXY is translated 2 units down and 5 units right?
O A. (1,3)
O B. (3,1)
O C. (4,6)
O D. (6,4)
11. Which point is a translation of E?
O A. J
O B. M
O C. N
O D . L