**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.

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.

Answers:

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.

Entry Task

Exit Task

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?

Start with

your image

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

Entry Task

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

Exit Task

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

Quadrants

Coordinates

(X, Y)

Origin

Ordered Pair

**Graphing**

Coordinates

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.

Exit Task

Homework: Pg 524 #1-18

Use 3 Graphs

Entry Task

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

Entry Task

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.

EXIT TASK

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

0 0+1

2

X X + 2 Y (x, y)

**-1**

0

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

Entry Task

Find the area and perimeter of the figure.

Thursday April 12

Exit Task

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

Exit Task

Explain which transformation is the most fun to do. Why?

Homework: None. Turn in your entry task sheet.

Friday April 13

Entry Task

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.

When you think you are finished, stand silently by the cupboards. Leave your pencil at your desk. If you talk, you will return to your seat.

The first student to complete the worksheet 100% correctly gets a soda.