Welcome Back!  Pick up papers from the front table  Begin your Entry Ticket. Homework: P 53 #1-5, 8-10, Writing Assignment due Thursday/Friday!.

Welcome Back!  Pick up papers from the front table  Find your new table. Remember, you can sit ANYWHERE at that table!  Begin your Entry Ticket Homework: P 53 #1-5, 8-10, Writing Assignment due Thursday/Friday!.

Agenda  New Seats/ Entry Ticket  Me Too!  1.7: Transformations in the Coordinate Plane  Cool Down.

ME TOO! One of you will randomly be selected and you will use the sentence frame below to tell us something you did over the break. “Over the break I ____________.” If that statement or fact is true about you, you will stand up and say “Me too!” Questions?

NEW JOBS Paper Passer Date Keeper ( Period 1 only)

UNIT 1 TEST If you did not take the Unit 1 test yet, remember you have to do it ASAP! You will not get the scores until later this month. Sorry 

FALL WRITING ASSIGNMENT

Entry Ticket

1.7: TRANSFORMATIONS IN THE COORDINATE PLANE SWBAT identify reflections, rotations and translations.

1-7 Transformations in the Coordinate Plane Transformation: a change in the position, size, or shape of a figure..

1-7 Transformations in the Coordinate Plane Pre-Image: The original figure. Use capital letters Image: New figure. Same letters but with a “prime” (‘) symbol

Important: A transformation maps the pre-image to the image. Arrow Notation – used to describe a transformation. Pre-image  Image We use primes (‘) to label the image

CFU:Whiteboards What is the name of the original figure, before it is transformed? Pre – Image What is the name of the transformed figure? Image

Reflection “flip” Transformation across a line, called the line of reflection. Each point and its image are the same distance from the line of reflection Same shape and size, but face in opposite directions If you folded the two shapes together line of reflection the two shapes would overlap exactly!

A reflection can be seen in water, in a mirror, in glass, or in a shiny surface. In a mirror, for example, right and left are switched. REFLECTION

Can you spot the line of reflection?

Translations “slides” Transformation in which all points of a figure move the same distance in the same direction. Same shape and size and faces the same direction

Let's examine some translations related to coordinate geometry. The example shows how each vertex moves the same distance in the same direction.

Rotations “turn” Transformation about a point P, called the center of rotation. Each point and its image are the same distance from P. Same shape and size but the figures may be turned in different directions.

The concept of rotations can be seen in wallpaper designs, fabrics, and art work. Rotations are TURNS!!!

This rotation is 90 degrees counterclockwise. Clockwise Counterclockwise

Whiteboards Does this picture show a translation, rotation, or reflection? How do you know? Rotation

Does this picture show a translation, rotation, or reflection? How do you know? Reflection over the x-axis

Which of the following lettered figures are translations of the shape of the purple arrow? Name ALL that apply. Explain your thinking. Letters a, c, and e are translations of the purple arrow.

Has each picture been rotated in a clockwise or counter-clockwise direction? The birds were rotated clockwise and the fish counterclockwise.

1-7 Transformations in the Coordinate Plane What is the big difference between a dilation and a reflection/translation/rotation? Types of Transformations (1) Reflection (2) Translation (3) Rotation (4) Dilation- changes size Isometry – A transformation that does not change the size or shape of a figure.

Isometry Pre-image and image are congruent

1-7 Transformations in the Coordinate Plane Example 1 Identify each transformation. Use arrow notation to describe the transformation. (a) (b) translation; MNOP  M ’ N ’ O ’ P ’ 90° rotation, ∆ABC  ∆A ’ B ’ C ’

1-7 Transformations in the Coordinate Plane Whiteboard Identify each transformation. Use arrow notation to describe the transformation. rotation; ∆XYZ  ∆X ’ Y ’ Z ’

Whiteboards Identify the transformation. Then use arrow notation to describe the transformation.

Example 2 A figure has vertices at A(1, -1), B(2, 3), and C(4, -2). After a transformation, the image of the figure has vertices at A’(-1, -1), B’(-2, 3), and C’(-4, -2).  Draw the pre-image and image.  Identify the transformation.  Use arrow notation to describe the transformation.

CHECK YOUR WORK! Reflection: ABC  A’B’C’

Whiteboards A figure has vertices at E(2, 0), F(2, -1), G(5, -1), and H(5, 0). After a transformation, the image of the figure has vertices at E’(0, 2), F’(1, 2), G’(1, 5), and H’(0, 5). 1.Draw the pre-image and image. 2.Identify the transformation. 3.Use arrow notation to describe the transformation.

The transformation is a 90° clockwise rotation. EFGH  E’F’’G’H’

1-7 Transformations in the Coordinate Plane Example 4 The picture below shows half of a stenciled design. The full design should resemble a sun. Name two transformations that can be performed on the image so that the image and its pre- image form a complete picture. Be as specific as possible, referring to L and P. Talk with your table!

1-7 Transformations in the Coordinate Plane Example 5 (a)What transformation is suggested by the wings of an airplane? (b)What transformation is suggested by a person climbing a ladder? (c)What transformation is suggested by a Ferris wheel?

Cool-Down Provide a real-life example of the following transformations:  Reflection  Rotation  Translation You may not use an example that we discussed in class today!

MATH JOKE OF THE DAY Spanish Teacher: Why didn’t you translate the verb? Student: I did, I moved it 3 units to the right and 2 units up.

Choose a person’s Entry Ticket and you will do this activity on the back of it! I will pose a word and using bullet points that person will list one thing they know about that word, then they will pass it to the next person. You will continue to pass the paper until one person can no longer think of something they know about that word. NOTE: You can add or change another persons bullet point. In order for activity to be done you cannot speak to your tablemates. What we know!

WHEN ARE WE EVER GOING TO HAVE TO USE THIS? Computer animations 0-1:37