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# Copy of 8th Grade Transformations

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by

## Keri Wendt

on 15 January 2014

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#### Transcript of Copy of 8th Grade Transformations

Transformations
Translations
Reflections
Rotations
Dilations
Tesselations
Art
Science
Escher
Quilting
Islamic Tiling
Venitian Glass
German Mall
Natural Tesselated Rock
Caused by Pressure
Tasmania
Plant Cells
Slide
Flip
Turns
Scale
I can identify the four
different transformations.

Learning Target:
I can translate a
geometric figure on
a coordiate plane.
TRANSLATION: an object is
moved a fixed distance in a
given direction. It does NOT
change in shape or size.
So how do you translate a
set of coordinates?
Miss Wendt is moving the point (3,4) left 2 and up 1. What is the new point?
YOU TRY
What is the new coordinate of the point D when the parallelogram is moved up 2 and right 1?
YOU TRY
What are the new coordinates of A when the quadrilateral is moved down 2 and left 1?
Learning Target
I can reflect a
geometric figure on
the coordinate plane.
REFLECTION: a figure is
flipped over a line. Size
and angles are the same.
So how do you reflect
a set of coordinates?
Count how many spaces each point is from the line. Then go that many in the opposite direction.
Try it out:
1. Reflect (-3,2) over the x-axis.
2. Reflect (5,4) over the y-axis.
3. Reflect (-2, 4) over the y-axis.
4. Reflect (5, 3) over the x-axis.
1. (-3, -2) 2. (-5, 4)
3. (4, 2) 4. (5, -3)
YOU TRY
YOU TRY
Reflect triangle
ABC across the
X-axis. Write the
new coordinates.
Reflect triangle
ABC across the
y-axis. Write the
new coordinates.
Moved right, x +
Moved left, x -
Moved up, y +
Moved down, y -
Learning Target:
I can translate a
geometric figure on
a coordiate plane.
ROTATION: a figure is
changed by turning the
image around a point.
DILATION: a figure is
enlarged or reduced by
a scale factor.
YOU TRY
Rotate triangle ABC 90 degrees clockwise around the origin. Write the new coordinates.
Rotate triangle
ABC 180 degrees counter-clockwise around the origin. Write the new coordinates.
YOU TRY
LET'S TRY
Dilate the pentagon ABCDE by a scale factor of 2 from point B.
Learning Target
I can rotate a
geometric figure on
the coordinate plane.
Learning Target
I can dilate a
geometric figure on
the coordinate plane.
Learning Target
I can rotate a
geometric figure on
the coordinate plane.
Learning Target
I can dilate a
geometric figure on
the coordinate plane.
How do you graph a
rotation of a figure
with coordinates?
graphed on
the coord-
inate plane.
Turn your
paper the
direction
required.
Do 90º in
a clockwise
direction.
Change your
axis to show
now it is a new
x and y, and
two negatives
and positives
switch. Find
the new pairs
on this axis.
C1 : (3, -3)
C2: (-3, -4)
C3: (0, 1)
C1: (3,3)
C2: (4, -3)
C3: (-1, 0)
YOU TRY
Dilate the pentagon ABCDE by a scale factor of 2 from the origin (0,0).
Now Practice: Work on your
homework with a partner until
I ask you to stop to take the
quiz. If you do not work now,
there's an extra sheet for hw.
What transformations are in this video?
Hold up the correct card when the video is paused.
What transformations are in this video?
Where we are going...
Wednesday April 11
Answer each of the following absolute value questions:

1. |-3| = 2. |5-3|=

3. | -7 + 2| = 4. |23-30|=

5. |(-3)(4)+15|= 6. |35-(7)(6)|=
Wednesday April 11
Describe the difference between a rotation and a reflection.

Homework: Page 552 #1-13
Use at least 3 graphs.
I can graph coordinates in all four quadrants.
Vocabulary
Axis
Axis
I
II
III
IV
Coordinates
(X, Y)
Origin
Ordered Pair
Graphing
Coordinates

Horizontal,
Vertical
(X, Y)
Graph the following:
(2,5) (-3,2)
(-4, -3) (3,-3)
Graph the following:
(1, 3) (2, 4)
(-3, 4) (4, -2)
(5, -3) (-3, -2)
(1,-4) (-1, -1)
(2,5)
(-3,2)
(-4,-3)
(3,-3)
(0,0)
Write down a creative way to help you remember that you go horizontal first, then vertical.
Homework: Pg 524 #1-18
Use 3 Graphs
Solve each equation for the variable:
1. 5 + u = 11 2. v - 13 = 27

3. 3w = 87 4. x/5 = 17

5. y - 9 = 25 6. z/2 = 9
Solve each equation for the variable:
1. a + 7 = 19 2. b/4 = 7

3. 5c = 135 4. d - 41 = 29

5. 19 - e = 4 6. 2f + 5 = 23
Fill in the table with values for y.
X X + 3 Y (x,y)
-2 -2+3
2
4
I can graph a line on a coordinate plane.
Homework: Page 529 29-30 (use one graph)
X X -1 Y (x, y)
-2 -2+1 -1 (-2,-1)
0 0+1
2

X X + 2 Y (x, y)
-1
0
1

Make a quick table.
Graph the points
Make a quick table and graph the points.
Vocabulary:
Solution: A solution to an equation is a pair of coordinates that make it true.
In the equation y = x + 1,
if x = 3, y = 4. The point (3,4) is a solution.
Then draw a line to connect the points.
Which point are solutions to y = x - 5
(-3, 4) (2, -3) (5, 0)
(4, -1) (7, -2) (-3, 2)
(4, -1) (2, 3) (-4, 2)
Finding solutions:
Pick a value of x, then use substitution to solve it for y.
Thursday April 12
Find the area and perimeter of the figure.
Thursday April 12
Explain how symmetry and reflections are related.

Homework: Page 556 1-17
Symmetry
Now Graph
C1 : (3, -3)
C2: (-3, -4)
C3: (0, 1)
Friday April 13
Explain which transformation is the most fun to do. Why?

Friday April 13
Find the volume and surface area.
Prime Notation
Any time you change a figure,
add an ' to each letter.
See the example:
Page 548 #1-5
Monday HW:
1
That means it's (x, y) -> (x + 2, y + 4)
What's wrong?
Tuesday HW:
Pg 552 #12-16
Wednesday HW:
Pg 556 15-17, 27-30
Target: I can name transformations and give details.
Classwork: Complete the worksheet.

There are a few Pythagorean Theorem questions to help you review for the ISAT.