im 8 ch 6.1.1 how can i move a shape on a...

IM 8 Ch 6.1.1 How Can I Move A Shape On A Grid

CPM Materials modified by Mr. Deyo

How can I visualize the transformation?

How can I describe the motion?

How do they compare?

What is the relationship?

Common Core Standard: 8.G.1a, 8.G.1b, 8.G.1c


By the end of the period, I will move a shape on a coordinate graph using rigid transformations – translations (slides), rotations (turns), and reflections (flips).

I will demonstrate this by completing Four‑Square notes and by solving problems in a pair/group activity.

Learning TargetTitle: IM8 ‑ Ch. 6.1.1 How Can I Move A Shape On A Grid? Date:


Home Work: Sec. 6.1.1Desc. Date Due

Review & Preview

3 Problems: 6‑2, 6‑3, 6‑7


Vocabulary1) Rigid Transformation

2) Translation

3) Rotation

4) Reflection


6.1.1 How Can I Move A Shape On A Grid?How can you describe the movement of a figure on a flat surface when it is not moving in a straight line? For example, when you need to move a loose puzzle piece into the puzzle (as shown at right), how can you describe the way its position changes? Today you will explore mathematical ways of sliding, turning, and flipping an object without changing its size or shape. These types of movements are called rigid transformations. You will solve various puzzles as you explore the transformations.Questions to ask your teammates today include:

In what direction does the key need to move?

How can we get the key to fit the keyhole?

What information do we need to give the computer so that it moves the key into the

lock?


Intro 1 Intro 2 Intro 3 Intro 4

Wall 1 Wall 2 Wall 3 Wall 4

Star 1 Star 2 Star 3 Star 4

61. KEY IN THE LOCK PUZZLES Are you ready for a puzzle challenge? Your job will be to move the key to the keyhole to unlock the door, using the transformation buttons shown at right. You will need to tell the computer about how you want the key to move. For example, how far to the left or right and how far up or down do you want the key to slide? In which direction do you want your key to flip?Your Task: For each puzzle, move the key to the keyhole. Remember that to unlock the door, the key must fit exactly into the keyhole and not be upside down. Also note that your key will not be able to move through walls. Try the following puzzles:

http://www.cpm.org/technology/general/keylock/?transformdata=IJafbeJFehttp://www.cpm.org/technology/general/keylock/?transformdata=EEffbeLJahttp://cpm.org/technology/general/keylock/?transformdata=LJafbeEDd http://www.cpm.org/technology/general/keylock/?transformdata=IEdfbeFJc

http://www.cpm.org/technology/general/keylock/?transformdata=FLcdEKeafbeMGe

http://www.cpm.org/technology/general/keylock/?transformdata=GIedJEejfbeLFhhttp://www.cpm.org/technology/general/keylock/?transformdata=FGfdHFenfbeKLh

http://www.cpm.org/technology/general/keylock/?transformdata=FLbdGJeafbeOKe

http://www.cpm.org/technology/general/keylock/?transformdata=CKadKFdjdHFdjfbeJFf

http://www.cpm.org/technology/general/keylock/?transformdata=KDcdMBdjdHFdjfbeEJf

http://www.cpm.org/technology/general/keylock/?transformdata=CBddFFeadFIeafbeJHe

http://www.cpm.org/technology/general/keylock/?transformdata=KDfdJIebdEGeafbeFKg

http://www.cpm.org/technology/general/keylock/?transformdata=IJafbeJFe

http://www.cpm.org/technology/general/keylock/?transformdata=EEffbeLJa

http://cpm.org/technology/general/keylock/?transformdata=LJafbeEDd

http://www.cpm.org/technology/general/keylock/?transformdata=IEdfbeFJc


http://www.cpm.org/technology/general/keylock/?transformdata=GIedJEejfbeLFh

http://www.cpm.org/technology/general/keylock/?transformdata=FGfdHFenfbeKLh







61. KEY IN THE LOCK PUZZLES

Resource Page for Recording Moves

1

2

3


6.1a Intro 1 Start: (4, 2) Transform the image from gold key to grey key & record your moves.http://cpm.org/technology/general/keylock/?transformdata=LJafbeEDd

Moves (Slide,Turn,Flip) Details

http://cpm.org/technology/general/keylock/?transformdata=LJafbeEDd




6.1b Intro 2 Start: (1, 2) Transform the image from gold key to grey key & record your moves.




6.1c Intro 3 Start: (3, 3) Transform the image from gold key to grey key & record your moves.





6.1d Intro 4 Start: (1, 3) Transform the image from gold key to grey key & record your moves.http://www.cpm.org/technology/general/keylock/?transformdata=IEdfbeFJc

http://www.cpm.org/technology/general/keylock/?transformdata=IEdfbeFJc



6.1e Wall 1 Start: (2, 4) Transform the image from gold key to grey key & record your moves.http://www.cpm.org/technology/general/keylock/?transformdata=FLcdEKeafbeMGe




6.1f Wall 2 Start: (1, 1) Transform the image from gold key to grey key & record your moves.





6.1g Wall 3 Start: (2, 1) Transform the image from gold key to grey key & record your moves.





6.1h Wall 4 Start: (2, 4) Transform the image from gold key to grey key & record your moves.





6.1i Star 1 Start: (5, 3) Transform the image from gold key to grey key & record your moves.





6.1j Star 2 Start: (3, 4) Transform the image from gold key to grey key & record your moves.





6.1k Star 3 Start: (5, 6) Transform the image from gold key to grey key & record your moves.





6.1l Star 4 Start: (3, 4) Transform the image from gold key to grey key & record your moves.




62 Describe in detail what moves (slide, turn, flip) you could use to create the transformation of the original image shown here. http://homework.cpm.org/cpmhomework/homework/category/CC/textbook/CC3/

chapter/Ch6/lesson/6.1.1/problem/62

http://homework.cpm.org/cpm-homework/homework/category/CC/textbook/CC3/chapter/Ch6/lesson/6.1.1/problem/6-2


63. Review what you know about graphs and answer the following:a) Find the equation of the line graphed.

y = ( )x + ( )b) What are its x & yintercepts?

xintercept (X, 0) ( , )

https://www.desmos.com/calculator/3cg2iwcagahttp://homework.cpm.org/cpmhomework/homework/category/CC/textbook/CC3/chapter/Ch6/lesson/6.1.1/problem/63

On the same set of axes, graph a line that is parallel to the line graphed at right and that goes through the origin (0, 0). Find the equation of this new line.

y = ( )x + ( )

yintercept (0, Y) ( , )

https://www.desmos.com/calculator/3cg2iwcaga



a)

64. Which equation below has no solution? Explain how you know.

b)4(x + 1) = 2x + 4 9 − 5x + 2 = 4 − 5x

http://homework.cpm.org/cpmhomework/homework/category/CC/textbook/CC3/chapter/Ch6/lesson/6.1.1/problem/64



65. Rena says that if x = −5, the equation below is true. Her friend, Dean, says the answer is x = 3. Who is correct? Justify your conclusion.

9(x + 4) = 1 + 2x




66. Find the rule for the pattern represented here. http://homework.cpm.org/cpmhomework/homework/category/CC/textbook/CC3/chapter/Ch6/lesson/6.1.1/problem/66

RULE: y = ( )x + ( )x y01 11

3 7

Figure 0

Figure 2 Figure 3



If Homer and Henrietta start eating at the same time, when will their ponds have the same number of lily pads remaining?

How many lily pads will be left in each pond at that time?

67. Homer the Hungry Hippo is munching on the lily pads in his pond. When he got to the pond, there were 30 lily pads, but he is eating 5 lily pads an hour. Henrietta the Hungrier Hippo found a better pond with 38 lily pads! She eats 7 lily pads every hour.


Homer Henrietta


im 8 ch 6.1.1 how can i move a shape on a...

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