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Episode 58
Math, Math, Math #2 [email protected]
[email protected]@naperville203.org
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Teaching with
SMARTBoard
http://www.ncusd203.org/central/html/what/math/smartboard/
itunes
http://www.ncusd203.org/central/html/what/math/smartboard/http://phobos.apple.com/webobjects/mzstore.woa/wa/viewpodcast?id=272381274
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http://www.artic.edu/aic/
http://www.artic.edu/aic/
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[email protected] give me a tweet at dsladkey
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A Lesson by Rob Porter
Lesson Activity Toolkit 2.0 Goodies
# 58 Math Math Math
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Bees Unit:
Essential Understanding: Area and Volume have special relationhips.
Essential Question: What threedimensional shape will hold the most volume?
Bees often must answer this important question. Bees produce both wax and honey, but wish to produce the least amount of wax to hold the most amount of honey. So our question become, what shape should a honeycomb be so that the least amount of wax will hold the most amount of honey?
In the bees unit, we will be learning the answers to the following targets to answer our bees question:
1. What is area?2. What are the area formulas for a square, rectangle, parallelogram, triangle, trapezoid, rhombus and kite?3. What is the area formula for a regular polygon of more than 4 sides?4. How can trigonometry help us to solve for the sides and angles of a triangle?5. How do you simplify a radical?6. What special triangles can be used to shortcut solving for sides and angles of a triangle?7. What are Pythagoran Triples?8. What is a prism and what are its parts?9. What is lateral and total surface area and what is the LSA and TSA formulas for a prism?10. What is voume and whare is the volume formulas for a prism?11. What is a cylinder and how can we find the LSA, TSA, and volume of a cylinder?12. What is a net?13. What is a tesselation?14. What is the relationship between surface area and volume?15. Are bees "efficient" with their wax?
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Do Bees Build it Best?A Homemade Trig Table
DLT: Students will create their own table of trig values and find patterns associated with the results.
Review Homework P. 222 224 #9 and #10Review Quiz
CLASSWORK• Homemade Trig Table, P. 221• Sin, Cos, Tan of 0, 10, 20, 30, 40, 50, 60, 70, 80, and 90 degrees• View the drawn triangles.• A preview of Inverse Trigonometry
Homework: Day 6 Worksheet USE PAGE 21 IN PACKET
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Homework #9: P. 222223 14Homework #10: P. 224 12
1. h = 47 inches2. h = 2.52 m3. h = 208.47 cm4. h = 11.87 ft
1a. height of tree is 35.01 ft1b. height of tree is 34.64 ft1c. height of tree is S * tan ft.2a. x = 1.32 miles, They can make it to shore2b. d = r * sin
where r = distance from stationwhere = angle between line to boat and shore
Triangle Trigonometry
1. AC = 9.2BC = 7.7
2. MT = 5.4HM = 2.1
3. GR = 8.7GV = 2.5
4. KZ = 87.5KN = 89.1
5. 671.3 ft6. 11.6 ft7. 177.9 m8. 57.7 ft
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Adjacent side
Opposite Side
Hypotenuse is always 10cm
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Trigonometry Table
Degree Sin Cos Tan
0
10
20
30
40
50
60
70
80
90
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Trigonometry Table
Degree Sin Cos Tan
0
10
20
30
40
50
60
70
80
90
0
0
.174
.174
.342
.342
.5
.5
.643
.643.766
.766
.866
.866
.940
.940
.985
.985
1
1 0
.176
.364
.577
.893
1.191
1.732
2.747
5.671
error
What Patterns do you notice?
Why?(note: you must know SOH CAH TOA and draw some triangles to answer this question)
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Inverse Trigonometry
Sin (?) = 1/2Sin (?) = 1Cos (?) = 1/2Cos (?) = 1Tan (?) = .839
To answer these questions we could use the chart, but that would only give us approximent degree measures. So, we use INVERSE TRIG!
Sin (1/2) = ______Sin (1) = ______Cos (1/2) = ______Cos (1) = ______Tan (.839) = ______
1
11
1
1
To Find Degree Measures given a ratio of sides!
105
Example, to find angle ,which inverse function do you use? What is the answer?
h
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What did the compass say when he was attracted to the protractor?
Here's looking at Euclid(YOU KID)
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Lesson Activity Toolkit 2.0
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NextNext
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BackBack
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What does a poor man and Barack Obama have in common?
They both want change
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Attachments
x and y intercept game denise.notebook
great lakes game denise.notebook
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preview.png
page0.svg
Apr 14-6:05 AM X- and y-intercepts game D Langley 4/09
page1.svg
Apr 14-6:19 AM 2410undefined292truefalse 2x + 3y = -6 154185x-intercept270259y-intercept
page2.svg
Apr 14-6:43 AM 2410undefined281truefalse-5x +2 y = -10 331179x-intercept260362y-intercept
page3.svg
Apr 14-6:43 AM 2410undefined0truefalse3x - 4y = -12108.2175.35x-intercept256.763.45y-intercept
page4.svg
Apr 14-6:43 AM 2410undefined0truefalse6x + 4y= -12188.2180.9x-intercept262.5293.4y-intercept
page5.svg
Apr 14-6:44 AM 2410undefined0truefalsex - y = -3141.05190.9x-intercept255.7577.7y-intercept
flash/flash/hot spots.swf
flash/flash/hotSpot.txt
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flash/flash1/hot spots.swf
flash/flash1/hotSpot.txt
&m_vInfo=Create your own hotspot activity. Press "Edit" to get started.Set the image. If you want your own image, choose custom, drag an image into a Notebook file and send it to the back.Set the score option. "Score by distance" calculates how far away your try is from the target as a percentage out of 100. For example, if you hit the target exactly, you score 100."Score by region" allows you to set a perimeter around the target. If your try is within the perimeter, you score 100 points.Set the timer to show or not show.Change the question text to suit your needs.Add a password to protect the edit menu.Press "OK" to finish setting up the activity.Press "Start" to begin.Press "Reset" to start again.&
&password=Password&&questionLabel=Question&&timerLabel=Timer&&password2=Password incorrect&
&label1=Congratulations&label2=You scored:&&label3=Top score:&
&cityLabel=Enter text here&&soundText=Sound&&scoreLabel1=Time bonus&&scoreLabel2=Score&&scoreLabel3=Top score&
&perimeterLabel=region perimeter&
flash/flash2/hot spots.swf
flash/flash2/hotSpot.txt
&m_vInfo=Create your own hotspot activity. Press "Edit" to get started.Set the image. If you want your own image, choose custom, drag an image into a Notebook file and send it to the back.Set the score option. "Score by distance" calculates how far away your try is from the target as a percentage out of 100. For example, if you hit the target exactly, you score 100."Score by region" allows you to set a perimeter around the target. If your try is within the perimeter, you score 100 points.Set the timer to show or not show.Change the question text to suit your needs.Add a password to protect the edit menu.Press "OK" to finish setting up the activity.Press "Start" to begin.Press "Reset" to start again.&
&password=Password&&questionLabel=Question&&timerLabel=Timer&&password2=Password incorrect&
&label1=Congratulations&label2=You scored:&&label3=Top score:&
&cityLabel=Enter text here&&soundText=Sound&&scoreLabel1=Time bonus&&scoreLabel2=Score&&scoreLabel3=Top score&
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flash/flash3/hot spots.swf
flash/flash3/hotSpot.txt
&m_vInfo=Create your own hotspot activity. Press "Edit" to get started.Set the image. If you want your own image, choose custom, drag an image into a Notebook file and send it to the back.Set the score option. "Score by distance" calculates how far away your try is from the target as a percentage out of 100. For example, if you hit the target exactly, you score 100."Score by region" allows you to set a perimeter around the target. If your try is within the perimeter, you score 100 points.Set the timer to show or not show.Change the question text to suit your needs.Add a password to protect the edit menu.Press "OK" to finish setting up the activity.Press "Start" to begin.Press "Reset" to start again.&
&password=Password&&questionLabel=Question&&timerLabel=Timer&&password2=Password incorrect&
&label1=Congratulations&label2=You scored:&&label3=Top score:&
&cityLabel=Enter text here&&soundText=Sound&&scoreLabel1=Time bonus&&scoreLabel2=Score&&scoreLabel3=Top score&
&perimeterLabel=region perimeter&
flash/flash4/hot spots.swf
flash/flash4/hotSpot.txt
&m_vInfo=Create your own hotspot activity. Press "Edit" to get started.Set the image. If you want your own image, choose custom, drag an image into a Notebook file and send it to the back.Set the score option. "Score by distance" calculates how far away your try is from the target as a percentage out of 100. For example, if you hit the target exactly, you score 100."Score by region" allows you to set a perimeter around the target. If your try is within the perimeter, you score 100 points.Set the timer to show or not show.Change the question text to suit your needs.Add a password to protect the edit menu.Press "OK" to finish setting up the activity.Press "Start" to begin.Press "Reset" to start again.&
&password=Password&&questionLabel=Question&&timerLabel=Timer&&password2=Password incorrect&
&label1=Congratulations&label2=You scored:&&label3=Top score:&
&cityLabel=Enter text here&&soundText=Sound&&scoreLabel1=Time bonus&&scoreLabel2=Score&&scoreLabel3=Top score&
&perimeterLabel=region perimeter&
SMART Notebook
images/glkoutline.gif
annotationmetadata/metadata(2).xml
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settings.xml
imsmanifest.xml
ADL SCORM CAM 1.3 metadata.xml Group 1
metadata.xml
URI http://www.adlnet.org/metadata/MDO_01 LOMv1.0 SCORM_CAM_v1.3 URI http://tempuri.org/randomid?id=0B9F2827-5808-4202-BD51-9FDC9D34E32E application/x-smarttech-notebook LOMv1.0 browser LOMv1.0 x-smarttech-notebook ms-windows:9.5;macos:9.5;unix:9.5 LOMv1.0 no LOMv1.0 yes 2009-04-12T06:30:43 1.0 LOMv1.0 final
preview.png
page7.svg
Apr 12-7:31 AM Game: Great Lakes and the surrounding states D Langley 4/09 Teacher notes: Game: When you hit start, it will ask for a location. Click on the location
page6.svg
Apr 12-7:06 AM 16421undefined2155truefalse125211Wisconsin152294Illinois254311Ohio342310Pennsylvania412252New York198314Indiana49158Minnesota224245Michigan22589Ontario351123Quebec187250Lake Michigan191140Lake Superior259216Lake Huron349241Lake Ontario285275Lake Erie81265Iowa
flash/flash2/hot spots.swf
flash/flash2/hotSpot.txt
&m_vInfo=Create your own hotspot activity. Press "Edit" to get started.Set the image. If you want your own image, choose custom, drag an image into a Notebook file and send it to the back.Set the score option. "Score by distance" calculates how far away your try is from the target as a percentage out of 100. For example, if you hit the target exactly, you score 100."Score by region" allows you to set a perimeter around the target. If your try is within the perimeter, you score 100 points.Set the timer to show or not show.Change the question text to suit your needs.Add a password to protect the edit menu.Press "OK" to finish setting up the activity.Press "Start" to begin.Press "Reset" to start again.&
&password=Password&&questionLabel=Question&&timerLabel=Timer&&password2=Password incorrect&
&label1=Congratulations&label2=You scored:&&label3=Top score:&
&cityLabel=Enter text here&&soundText=Sound&&scoreLabel1=Time bonus&&scoreLabel2=Score&&scoreLabel3=Top score&
&perimeterLabel=region perimeter&
SMART Notebook
Page 1: Jan 4-11:04 PMPage 2: Feb 12-2:51 PMPage 3: May 22-5:06 AMPage 4: Apr 9-1:20 PMPage 5: Jan 4-11:08 PMPage 6: Mar 10-10:25 AMPage 7: Mar 6 - 6:50 PMPage 8: Mar 6 - 9:41 PMPage 9: Mar 15 - 8:11 AMPage 10: Mar 15 - 7:28 AMPage 11: Mar 15 - 7:28 AMPage 12: Mar 15 - 9:09 AMPage 13: Mar 20 - 9:21 AMPage 14: May 22-5:18 AMPage 15: Apr 16-9:13 AMPage 16: May 22-5:43 AMPage 17: Random image pickerPage 18: Vortex sort - imagePage 19: Apr 16-9:13 AMAttachments Page 1