Week 5
April 27-
May 3 / 13.2 The Pythagorean Theorem / 13.3 Surface Area
/ 13.4 Volume
/ Computer Lab 4
Surface Area Challenge
Thursday to Sunday:
READ & RESPOND—SECTION 13.2 complete this!
You have read the section, make sure you read the “before Wednesday” RWP from
last week and complete the Pythagorean theorem work there.
WATCH
Here is the video that had a broken URL last week. Here is the title of the video (search for this on youtube if the link still does not work): “Estimating Measurements in Preschool (Early Math Collaborative at Erikson)” the URL is: https://www.youtube.com/watch?v=pqnqE7p5KSE
PLAY
I did not have the URL for “Horrendous Soup” on last week’s RWP, so here it is: http://mrnussbaum.com/soup/ This is to practice metric measure. Let’s talk about how it worked for you on Monday. Did this work for you? would it work for elementary students?
Monday after class and before Tuesday’s class: —SECTION 13.3
Surface Area
READ & RESPOND
The first time I taught this I had a student who announced to the whole class, “Surface area is all about nets!” What do nets have to do with surface area?
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Why is the surface area of a Right Prism given by the formula S=2A+Ph ?
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Why is the surface area of a Right Circular Cylinder given by the formula
S=2A+Ch ? ______
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Why is the surface area of a Right Regular Pyramid given by the formula
S=A+12Ph ? ______
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Why is the surface area of a Right Circular Cone given by the formula
S=A+12Cl= πr2+πrh2+r2 ?
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Why is the surface area of a Sphere given by the formula S=4πr2 ?
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WATCH
Area is just area!!! What is the teacher’s lesson about here? Why is it so important to have this discussion? https://www.teachingchannel.org/videos/teaching-surface-area
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We, in Math 213, have two days with surface area (lab on Thursday). What could you do if you had TWO weeks of surface area? Think this one through future teacher, and let’s discuss this on Tuesday! In fact, what might you do each day of the first week you teach surface area?
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Thursday______
Friday______
PLAY
Read and work with the surface area of rectangles and cylinders here: http://www.learner.org/interactives/geometry/area.html What is the intereactive about cylinders trying to show? If you had to demonstrate this differently, what would you do?
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Tuesday after Class and Wednesday before class:
READ & RESPOND - SECTION 13.4 Volume
What is volume? ______
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Why is the volume of a Right Prism given by the formula V=lwh=abc ?
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Why is the volume of a Cube given by the formula V=s3 ?
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Why is the volume of a Prism, (any prism!*) and the volume of a Cylinder (any cylinder!*) both given by the formula V=Ah ? ______
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Why is the volume of a Pyramid (any pyramid!*) and the volume of a Cone (any cone!*) given by the formula V=13Ah ? ______
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Why is the volume of a Sphere given by the formula V=43πr3 ?
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*(Make sure you use Cavalieri’s principle to explain!)
WATCH
Did this explain Cavalieri’s principle? I would watch this while studying pages 696 and 697 and 698. https://www.youtube.com/watch?v=mecuFkeuP-Y
How would you demonstrate Cavalieri’s principle for prisms and cylinders?
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PLAY
In this applet, pay attention to the cross section in the middle of each pyramid. How does this applet demonstrate Cavalieri’s principle? http://tube.geogebra.org/student/m29446
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What does this video demonstrate? https://tube.geogebra.org/student/m124731
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Here is Cavalieri’s principle for cross sections of area too! What does it mean? https://tube.geogebra.org/student/m60183
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Wednesday and before class Thursday
READ Computer Lab 4: Surface Area Challenge