Rigid Transformations Geometry Unit 1. Graphing Coordinate Pairs Plot (4,4), (5,0), (4,-4) (...
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- Slide 1
- Rigid Transformations Geometry Unit 1
- Slide 2
- Graphing Coordinate Pairs Plot (4,4), (5,0), (4,-4) (
x-coordinate, y-coordinate ) ( horizontal , vertical )
- Slide 3
- Graphing Coordinate Pairs Plot (0,5), (0,-5), (-4,4) (-5,0),
(-4,-4) Connect all eight dots with lines to make a shape Check
with partners
- Slide 4
- Graphing Coordinate Pairs Plot & Connect (2,-2), (0,-3),
(-2,-2) Plot (2,1), (-2,1) Check with partners
- Slide 5
- Slide 6
- On ruled side of index card, please print: 1.Your first and
last name. 2.What you like to be called. 3.Sports you play.
4.Extra-curriculars you participate in (church choir, drama
production, etc.) 5.If and where you work. Hours & days? 6.Your
dream profession. 7.A reasonable back-up profession, as you see it.
8.Do you have reliable home/cell internet access?
- Slide 7
- 1.Please complete the Get-to-Know-You index card. 2.Detach
pages 3-4 from signed syllabus & remove staple. 3.Keep pp. 1-2,
have pp. 3-4 on desk to turn in. 4.If not yet signed, get it in
tomorrow. 5.Reminder: No food, drink, gum, headphones, iPods,
Gameboys... Cells silenced. Water okay.
- Slide 8
- Graphing Coordinate Pairs On whiteboards, plot and connect to
make five shapes: Shape 1: (2,2), (2,4), (4,4), (5,2) Shape 2:
(-2,2), (-5,2), (-5,4), (-3,4) Shape 3: (-2,-4), (-5,-4) (-5,-2),
(-3,-2) Shape 4: (2,-2), (5,-2), (4,-4), (2,-4) Shape 5: (8,3),
(8,6), (10,6), (10,4) Label the shapes. Check with partners.
- Slide 9
- Rigid Transformations Talk with your partners about how to:
1.Turn Shape 1 into Shape 2. 2.Turn Shape 1 into Shape 3. 3.Turn
Shape 1 into Shape 4. 4.Turn Shape 1 into Shape 5. Write answers on
the back of the whiteboard.
- Slide 10
- To Avoid Textbook Fines 1.In pen, write your first & last
name and 2014-2015 inside front cover. 2.In margin on page 11,
write in pen the barcode number of book from the back cover, in
case it falls off. 3.Keep textbook at home. We have a class set.
Now please read instructions for the Battleship! game.
- Slide 11
- Slide 12
- 1.Place materials on desk for HW check: 2.On whiteboard, plot,
connect & label: Shape 1: (2,1), (-2,4), (1,6) Shape 2: (3,7),
(6,9), (7,4) Note: Polygons are shapes with straight sides.
- Slide 13
- Rigid Transformation Shape stays the same, doesnt bend, flex,
shrink or grow. Can prove with patty paper. Can prove with algebra
rules. Can prove with compass & protractor.
- Slide 14
- Translation Translation is a rigid transformation that slides
the shape. May be in the x- or y-direction, or both. Can use two
patty papers to translate along a Line of Translation (LoT). Can
use an algebra rule to translate. What are these rules?
- Slide 15
- Reflection Reflection is a rigid transformation that mirrors a
shape across a line of reflection (LoR). Can use one folded patty
paper to reflect. Can use an algebra rule to reflect. What are
these rules?
- Slide 16
- Translation & Reflection Practice 7 min - With your
partners, answer Qs 1-3, pp. 362 in notebook. Be prepared to
present.
- Slide 17
- Translation & Reflection Practice With your partners,
answer Qs 4, 5, 11, pp. 362- 363 in notebook. Be prepared to
present.
- Slide 18
- Slide 19
- Warm Up 1.Have notebook open to show HW for check. 2.Grab a
class textbook for each pair. 3.Read about symmetry, pp. 3-4.
4.After discussing with partners, answer Qs 4-8 in your
notebook.
- Slide 20
- Symmetry = Balanced on both sides Reflectional Symmetry = Can
fold one side of a shape perfectly over the other side. Rotational
Symmetry = As the shape rotates, it looks the same at several
points on a 360 o spin.
Http://www.mathsisfun.com/geometry/symmetry-reflection.html
http://indiandigitalartists.com/wp-content/uploads/2013/08/Composition-in-Photography-Symmetry-and-Pattern-2.jpg
http://www.unframedworld.com/wp-content/uploads/2011/06/symmetry-photo-how-to02.jpg
Line of Reflection (LoR) Three Points of Rotational Symmetry
- Slide 21
- Slide 22
- 1.20 min - With your partners, complete Quiz 1. Mr. Sidman will
be around to give feedback. 2.If you would like to show Mr. Sidman
a much improved HW from yesterday, please have it out. 3.Discuss
two Qs of your choice from quiz. 4.20 min Practice rotations of
polygons. 5.Answer HW Q #4 using patty paper
- Slide 23
- On whiteboard, draw polygon with corners (2,2), (2,4), (4,4),
(6,2) Now rotate this around origin 90 o, 180 o, 270 o. Thats one
pre-image and three images. Repeat, using (1,3) as your Point of
Rotation (PoR).
- Slide 24
- Slide 25
- 1.Have HW out for check. 2.Grab one textbook per group. 3.With
partners, complete practice quiz 1. 4.When all agree, complete
practice quiz 2. 5.Students will be asked to write their HW &
quiz answers on the board and explain them to the class.
- Slide 26
- Coordinate Pair Rules 1.Adding or subtracting from x translates
left or right. 2.Adding or subtracting from y translates up or
down. (x,y) (x+2,y-3)
- Slide 27
- Coordinate Pair Rules 1.Making x negative reflects across
y-axis. 2.Making y negative reflects across x-axis. (x,y)
(x,-y)
- Slide 28
- Coordinate Pair Rules 5.Making x and y negative reflects across
both axeswhich is really a 180 o rotation around origin. (x,y)
(-x,-y)
- Slide 29
- Slide 30
- Get out Take-Home Quiz Handout + Notebook on Rigid
Transformations Get out red or green grading pen Row 1 switch
notebook/quiz with Row 2 Row 3 switch notebook/quiz with Row 4 If
no one behind you, switch with neighbor Once you switch, write
Graded by: your name at top of quiz handout
- Slide 31
- Slide 32
- Find-Your-Match Game Find other people with cards that match
yours: term, definition, sketch (picture), symbol Write information
for all groups cards under correct term on board
- Slide 33
- Slide 34
- Get out HW for check. Grab one textbook per team. With your
partners, complete the Symbol Practice handout. Students will be
placing HW answers on the board and explaining them to the class. I
will finish stamping practice handout and we will go over
answers.
- Slide 35
- Slide 36
- 10 min - With your partners, complete the Symbol Practice
handout. I will finish stamping practice handout while you take
quiz. 30 min Quiz. Notes o.k. Solo, individual effort.
- Slide 37
- Slide 38
- Notes: Naming and sketching angles Describing congruent angles
in symbols and sketches Measures of segments and angles Angle
bisectors in sketches and symbols Reflecting rays: Incoming angle
Outgoing angle
- Slide 39
- Grade Friday quiz & discuss Correct your own practice
handout from last week
- Slide 40
- Slide 41
- Have HW out for check Grab one textbook per team Students will
present answers Discovery video on rigid transformations &
graphic design Intro to extra credit HW project Practice fire drill
(if time)
- Slide 42
- Slide 43
- 1.Grab one whiteboard, dry-erase marker and rag per person.
2.Plot pre-image: (-6, -4), (-2, -3), (-4, -7) 3.Plot image: (2,
3), (4, 7), (6, 4) 4.Is this a rigid transformation or not? Can use
patty paper, on back shelf. 5.Write all the reasons for your answer
on board. 6.If it is a rigid transformation, write the type. 7.If
it is a rigid transformation, write a rule for it.
- Slide 44
- Advanced Topics in Transformations Unit 1.How to calculate
slopes of lines. 2.If slopes stayed the same between pre-image and
image, shape did not reflect or rotateonly translated. 3.How to
calculate distance between points on Cartesian plane (using the
Pythagorean Theorem) 4.If side lengths stay the same, shape did not
grow or shrink.
- Slide 45
- 1.We are going to calculate the lengths of all sides in both
shapes. x-distance between points = x 2 x 1 = 5 1 = 4 y-distance
between points = y 2 y 1 = 5 2 = 3
- Slide 46
- 1.To calculate the length of a side: x-distance between points
= x 2 x 1 = 5 1 = 4 y-distance between points = y 2 y 1 = 5 2 =
3