academic math 2 unit 2: transformations - weeblypatemath.weebly.com › uploads › 5 › 2 › 5...
TRANSCRIPT
![Page 1: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/1.jpg)
1
Name: ________________________
Academic Math 2
Unit 2: Transformations
Use prime notation to distinguish an image from its pre-image. (G-CO.2)
Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular
lines, parallel lines, and line segments. (G-CO.4)
Verify experimentally the properties of transformations. (8-G.1, G-SRT.1)
Compare transformations that preserve distance and angle (rigid motions) to those that do not (e.g.
dilation or horizontal stretch). (G-CO.2)
Date Lesson Activity
Wednesday, February 4 Translations
Thursday, February 5 Reflections
Friday, February 6 Rotations
Monday, February 9 Dilations QUIZ
Tuesday, February 10 Compositions of Transformations
Transformation of Functions Lab
Wednesday, February 11 Review
Thursday, February 12 Unit 2 Test TEST
![Page 2: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/2.jpg)
2
![Page 3: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/3.jpg)
3
![Page 4: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/4.jpg)
4
![Page 5: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/5.jpg)
5
![Page 6: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/6.jpg)
6
![Page 7: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/7.jpg)
7
![Page 8: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/8.jpg)
8
![Page 9: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/9.jpg)
9
![Page 10: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/10.jpg)
10
![Page 11: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/11.jpg)
11
![Page 12: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/12.jpg)
12
![Page 13: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/13.jpg)
13
![Page 14: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/14.jpg)
14
Summary: Reflections
x-axis y=x
y-axis y=-x
Over a horizontal/vertical line:
![Page 15: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/15.jpg)
15
![Page 16: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/16.jpg)
16
![Page 17: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/17.jpg)
17
![Page 18: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/18.jpg)
18
![Page 19: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/19.jpg)
19
![Page 20: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/20.jpg)
20
Practice:
Directions: Write what the coordinates will be by reflecting each of the given points across the x-axis. Use the
reflection rules above to help you answer the questions. When reflecting across the x-axis, the x-value remains the
same and change the sign of the y-value.
Directions: Write what the coordinates will be by reflecting each of the given points across the y-axis. Use the
reflection rules above to help you answer the questions. When reflecting across the y-axis, the y-value remains the
same and change the sign of the x-value.
Directions: Write what the coordinates will be by reflecting each of the given points across the line y=x. Use the
reflection rules above to help you answer the questions. When reflecting across the line y=x, the x-value and y-
value switch spots.
Directions: Write what the coordinates will be by reflecting each of the given points across the line y=-x. Use the
reflection rules above to help you answer the questions. When reflecting across the line y=-x, the x-value and y-
value switch spots and change signs.
![Page 21: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/21.jpg)
21
Reflections Worksheet
For #1-5, draw the triangle after each transformation and give the coordinates of A’, B’ and C’.
1. Reflect the triangle over the y-axis.
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
y
2. Reflect the triangle over the x-axis.
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
y
3. Reflect the triangle over y x .
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
y
4. Reflect the triangle over y x .
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
y
5. Reflect the triangle over the x-axis and
then over y x .
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
y
6. Reflect the triangle over the line x= - 3
-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
8
9
x
y
A
B C
A
B C
A
B C
A
B C
A
B C
![Page 22: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/22.jpg)
22
![Page 23: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/23.jpg)
23
Summary: rotations
90o CCW (270o cw): 270o CCW (90oCW):
180o: 360o:
![Page 24: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/24.jpg)
24
![Page 25: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/25.jpg)
25
![Page 26: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/26.jpg)
26
![Page 27: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/27.jpg)
27
![Page 28: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/28.jpg)
28
![Page 29: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/29.jpg)
29
![Page 30: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/30.jpg)
30
![Page 31: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/31.jpg)
31
![Page 32: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/32.jpg)
32
![Page 33: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/33.jpg)
33
![Page 34: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/34.jpg)
34
![Page 35: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/35.jpg)
35
![Page 36: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/36.jpg)
36
![Page 37: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/37.jpg)
37
![Page 38: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/38.jpg)
38
![Page 39: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/39.jpg)
39
![Page 40: Academic Math 2 Unit 2: Transformations - Weeblypatemath.weebly.com › uploads › 5 › 2 › 5 › 8 › 52589185 › _unit_1... · 2020-03-20 · Academic Math 2 Unit 2: Transformations](https://reader034.vdocument.in/reader034/viewer/2022042323/5f0d46a57e708231d4398ab0/html5/thumbnails/40.jpg)
40