Day 60
Day 60 1. Opener a) Re-draw the following figure rotated 90° clockwise across its axis. b) Why can you tessellate a square and a hexagon, but not a start rocking CST pentagon? toolkits!
c) Put a square on each edge of an equilateral triangle and connect the outside vertices to form a hexagon. Is this hexagon equilateral, equiangular, or neither? d) What is the percent probability a dollar bill has trace amounts of cocaine on it?
1
80%
2
the flash mind reader, andy naughton http://www.cyberglass.biz/customflash/ghostwhisperer/
7. Tessellations Does a regular triangle tessellate the plane?
3
Ask someone to draw it at the board.
7. Tessellations Does a regular quadrilateral tessellate the plane?
4
Ask someone to draw it at the board.
2. Classwork - Tessellation Activity a) Can any triangle tessellate the plane? b) Can any quadrilateral tessellate the plane?
a
a b
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b c
d
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Tessellation handout. Devise a method for tessellating triangles and quadrilaterals.
a) Can any triangle tessellate the plane? b) Can any quadrilateral tessellate the plane?
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2. Classwork - Tessellation Activity
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2. Classwork - Tessellation Activity a) Can any triangle tessellate the plane? b) Can any quadrilateral tessellate the plane? a
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3. Break 4. Show and Tell
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5. Notes - Carving Translations
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Thus far we’ve only investigated the boring tessellations. All squares. Hoo-ray.
5. Notes - Carving Translations
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But even cool ones can start with a square.
5. Notes - Carving Translations
11
Show the cuts. Where do I move this piece I cut so that the shape tessellates?
5. Notes - Carving Translations
12
So what do you see?
5. Notes - Carving Translations
Chuckles the Happy Two-Legged Elephant 13
Do you know what’s special about Chuckles?
5. Notes - Carving Translations
14
He has friends!
15
Do you see the square?
5. Tessellation Assignment #1 - Squares Farty McGee
16
Give the assignment. Discuss how it should look.
Day 61 1. Opener a) Sketch the figure after applying the translation: (x, y)
(x - 4, -y)
b) Describe the translation between A and A’ c) Seven congruent rectangles are arranged to form a larger rectangle. If the area of the large rectangle is 756 units2, what is the largest possible perimeter of the large rectangle? d) What is the largest manmade structure on Earth?
17
The Fresh Kills Landfill.
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3. Draw the Graph
20
Ask for any two things, no matter how absurd.
3. Draw the Graph
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Ask for any two things, no matter how absurd.
3. Draw the Graph
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Ask for any two things, no matter how absurd.
3. Draw the Graph
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Ask for any two things, no matter how absurd.
3. Draw the Graph
24
Ask for any two things, no matter how absurd.
2. Notes - Carving Tessellations from Hexagons
25
You can also use hexagons to make tessellations.
2. Notes - Carving Tessellations from Hexagons
26
Show how to make the cuts.
2. Notes - Carving Tessellations from Hexagons
27
Do you see it? Do you?!
2. Notes - Carving Tessellations from Hexagons
The Angry Wolf That Lives Under Your Bed And Waits For You To Fall Asleep
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And do you know what’s special about The Angry Wolf?
2. Notes - Carving Tessellations from Hexagons
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He’s got friends.
2. Notes - Carving Tessellations from Hexagons
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2. Notes - Carving Tessellations from Hexagons
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2. Notes - Carving Tessellations from Hexagons
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2. Notes - Carving Tessellations from Hexagons
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2. Notes - Carving Tessellations from Hexagons
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3. Tessellation Assignment #2 - Hexagons Farty McGee
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Introduce the second part of the project.
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Do you see the hexagons?
4. Break 5. Show and Tell
37
6. Notes - Area
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6. Notes - Area
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6. Notes - Area Rectangle
Parallelogram
Triangle
40
See revisions.
6. Notes - Area Rectangle
Parallelogram
4 9
Triangle
3
9 8 7
41
See revisions.
7. Classwork pg. 413 // #1 - 10, 17
42
c) Put a square on each edge of an equilateral triangle and connect the outside vertices to form a hexagon. Is this hexagon equilateral, equiangular, or neither? d) What is the percent probability a dollar bill has trace amounts of cocaine on it?
1
80%
2
the flash mind reader, andy naughton http://www.cyberglass.biz/customflash/ghostwhisperer/
7. Tessellations Does a regular triangle tessellate the plane?
3
Ask someone to draw it at the board.
7. Tessellations Does a regular quadrilateral tessellate the plane?
4
Ask someone to draw it at the board.
2. Classwork - Tessellation Activity a) Can any triangle tessellate the plane? b) Can any quadrilateral tessellate the plane?
a
a b
c
b c
d
5
Tessellation handout. Devise a method for tessellating triangles and quadrilaterals.
a) Can any triangle tessellate the plane? b) Can any quadrilateral tessellate the plane?
c c
a
b
c a
c
b
b
a
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2. Classwork - Tessellation Activity
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2. Classwork - Tessellation Activity a) Can any triangle tessellate the plane? b) Can any quadrilateral tessellate the plane? a
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7
3. Break 4. Show and Tell
8
5. Notes - Carving Translations
9
Thus far we’ve only investigated the boring tessellations. All squares. Hoo-ray.
5. Notes - Carving Translations
10
But even cool ones can start with a square.
5. Notes - Carving Translations
11
Show the cuts. Where do I move this piece I cut so that the shape tessellates?
5. Notes - Carving Translations
12
So what do you see?
5. Notes - Carving Translations
Chuckles the Happy Two-Legged Elephant 13
Do you know what’s special about Chuckles?
5. Notes - Carving Translations
14
He has friends!
15
Do you see the square?
5. Tessellation Assignment #1 - Squares Farty McGee
16
Give the assignment. Discuss how it should look.
Day 61 1. Opener a) Sketch the figure after applying the translation: (x, y)
(x - 4, -y)
b) Describe the translation between A and A’ c) Seven congruent rectangles are arranged to form a larger rectangle. If the area of the large rectangle is 756 units2, what is the largest possible perimeter of the large rectangle? d) What is the largest manmade structure on Earth?
17
The Fresh Kills Landfill.
18
19
3. Draw the Graph
20
Ask for any two things, no matter how absurd.
3. Draw the Graph
21
Ask for any two things, no matter how absurd.
3. Draw the Graph
22
Ask for any two things, no matter how absurd.
3. Draw the Graph
23
Ask for any two things, no matter how absurd.
3. Draw the Graph
24
Ask for any two things, no matter how absurd.
2. Notes - Carving Tessellations from Hexagons
25
You can also use hexagons to make tessellations.
2. Notes - Carving Tessellations from Hexagons
26
Show how to make the cuts.
2. Notes - Carving Tessellations from Hexagons
27
Do you see it? Do you?!
2. Notes - Carving Tessellations from Hexagons
The Angry Wolf That Lives Under Your Bed And Waits For You To Fall Asleep
28
And do you know what’s special about The Angry Wolf?
2. Notes - Carving Tessellations from Hexagons
29
He’s got friends.
2. Notes - Carving Tessellations from Hexagons
30
2. Notes - Carving Tessellations from Hexagons
31
2. Notes - Carving Tessellations from Hexagons
32
2. Notes - Carving Tessellations from Hexagons
33
2. Notes - Carving Tessellations from Hexagons
34
3. Tessellation Assignment #2 - Hexagons Farty McGee
35
Introduce the second part of the project.
36
Do you see the hexagons?
4. Break 5. Show and Tell
37
6. Notes - Area
38
6. Notes - Area
39
6. Notes - Area Rectangle
Parallelogram
Triangle
40
See revisions.
6. Notes - Area Rectangle
Parallelogram
4 9
Triangle
3
9 8 7
41
See revisions.
7. Classwork pg. 413 // #1 - 10, 17
42
