Using the figure on the board, solve the problem

Lines k and l are parallelWhat is the value of z?a)130b)120c)100d)80

http://youtu.be/gb3yBvDkIMk

(this PowerPoint will be posted on the class wiki if you miss something)

• A copy of a geometric figure• The copy holds certain properties(Similar to copy and paste on the computer)• Pre – image = original figure• Image = new (copied) picture

• 2 basic types:1. Rigid Transformations–Definition: the pre image and image both have

exact same size and shape– 3 types of rigid are:– A. translations– B. reflections– C. rotations

2. Non-rigid transformations

Non rigid transformation:◦ Definition: it can do stretching and shrinking and

twisting

http://www.gradeamathhelp.com/transformation-geometry.html

This is a resource, in case you need to refer to later

Describe these shapes with translations, reflections, and rotations OR use the nets

We will use ipad, graph paper, or you will make a coordinate plane

Record in your notebook, the ordered pairs you start with and where you end up: complete a translation and reflection

Which of the following preserves distance which does not? Explain

(x, y) translated with rule (x +1, y + 2) Or (x, y) translated with rule (x2, y + 1) Is distance the same as area or perimeter? Also, there is a worksheet/assignment on

www.kz.com

Summary: How can you represent a transformation in

the coordinate plane? Put answer in your notebook Date and label

Do Now: Create a venn diagram for the two words1.rigid transformation 2.non-rigid transformation in your notebooks

Definitions (in terms of lines parallel or perpendicular, angles, circles, segments)

1.Reflections2.Rotations3.Translations

Pictures/videos to help with definitions www.mcescher.com Soccer passes

http://www.youtube.com/watch?v=HfdPghAo_y8&feature=share&list=PL672620CA05CCA02A (passes angles and lines)

http://youtu.be/1c7DVV4oP4U◦ Passing, transformations, and angles

What can you not do in basketball after you stop with the ball?

Consider your planted foot as your rotation point

Read pg. 547 define and understand Composition of transformation

- pg. 549 (7 - 18 even), and #19

- pg. 550 #27 this will count as a project grade/formal grade 70%, therefore you may want to do this problem last

pg. 551 (42, 43, 44) complete the problems and tell me how these 3 problems relate to transformations

DO NOW 5 minutesDefine reflectionDefine translationD.E.A.R 10 minutesAt the end of today’s D.E.A.R please send me a message/note on edmodo describing your what you read today; you will have 5 minutes

Reflection Translation Essay ?: How can you change a figure’s

position without changing its size and shape? (Send your answer to me using edmodo, just me not the whole class)

If finish the quiz early, then please read or work quietly on your translation project ( I cannot answer questions, until all students have completed test)

Quiz on Thursday Honors: read article, write synopsis on the

article, but they must include the terms in the article

Paragraph, use of proper grammar, math terms, math connections, good spelling,

Type on edmodo and send to me or we will use gaggle

Do now: what is the name of the original figure in transformations? What is the name of the new figure?

Go over yesterday’s test◦ Give students their scores, results, post those

problems that need most work Work on projects

◦ Wallpaper or wrapping paper (your translation design)

Rotation and reflection worksheets

1. What does isometry mean?Congruent2. What is a rule that describes the two shapes with the following ordered pairs?

Q (- 5, 4) Q’ (1, 2)R (- 2, 3) R ‘ (4, 1)T (- 5, -2 ) T ‘ (1, - 4)S ( -3, -1) S ‘ (3, - 3)

3. What are the images of the vertices of ABC for the translation (x, y) translated by the rule ( x – 2 , y + 3)? The vertices are A (5, 6) , B ( 6, - 3), and C (7, 2)

Read pg. 553 - 558 define the key terms (reflection, line of reflection)

- pg. 556 #8, 10, 12, 23, and 24 Then onto Rotations

1. If point D (4, 1) is reflected across x = 2, what are the coordinates of its reflection?

A (4, -1)B ( 4, 3)C (- 4, 1)D (0, 1)

2. A design for the math club log reflects a triangle across the y – axis. Graph the reflection.A (2, 4)B (6, 2)C (2, - 6)

3. You are building a garden fountain with paths to the rose bushes and the herb garden. You make a graph showing the roses at (5, 5) and the herbs at (3, 2). You want to minimize the length of the brick paths. If the fountain is located on the y-axis, where should it be built?

A (0, 7/2) C (0, 4)B (0, 25/8) D (0, 13/2)

Reflections and rotations Use of patty paper Compass Protractor Goal: how to rotate an object a certain

degreeand reflecting over the line of reflection

Translation Project: formal grade 70%, therefore you may want to do this problem last

Reflection worksheet 9-2 puzzle, connect dots

Rotation worksheet 9-3 practice G

challenge problem or re-teaching worksheet

In notebookAnswer the following:1. How can you verify that your rule is correct

for a specific transformation?

2. What kind of lines are y = 2 and x = 5 (describe the orientation of the line)