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Geo Notes 6.26.6.notebook
1
June 07, 2014
Do Now 6/2:
3 ft
15 ft
Ex. 2 Find the surface area of the figures below
3 ft
15 ft
Geo Notes 6.26.6.notebook
2
June 07, 2014
Do Now 6/2:
3 ft
15 ft
Ex. 2 Find the surface area of the figures below
3 ft
15 ft
Geo Notes 6.26.6.notebook
3
June 07, 2014
Surface Area of a Sphere Vocab
Great circle
r
Sketch the net of a sphere. How is this different than other nets?
Geo Notes 6.26.6.notebook
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June 07, 2014
Part 1Follow the steps below to make a conjecture about how to find the surface area of a sphere.
1. Lay out paper towel.
2. Cut your orange exactly in half to expose a great circle of the orange and find it’s radius. (How can you make sure it is exactly in half?)
3. Estimate how many of these great circles you think you can cover with pieces of your orange’s peel. Trace that many great circles of your orange on the paper towel.
4. Tear off pieces of the orange peel, each about to 1 square inch. Cover the great circle completely with the peel (no gaps or overlaps!) Draw more if needed and record the total number that are covered (use fractions if necessary!)
Geo Notes 6.26.6.notebook
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June 07, 2014
Part 2Use your results to answer the following questions in complete sentences. Work together to develop your answers. Each of you needs to be prepared to explain your group’s thinking to the whole class.
1. Write the formula that can be used to find the area of each great circle.
2. How many times did you cover the area of the great circle, using the entire peel of the orange? (CFU:) Based on your results, write an equation that tells the whole surface area of your orange.
3. How is the surface area formula of the 3D sphere related to the 2D figures related to a sphere? Whatare some similarities and differences and why?
4. What are some possible sources of error in this project? How could you adjust the process to get more accurate data?
Geo Notes 6.26.6.notebook
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June 07, 2014
Exit Ticket 4/23:
From the center to the edge of the balloon is 4 cm. What is the amount of plastic that the balloon must have to be blown up to that size?
4 cm
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June 07, 2014
Geo Notes 6.26.6.notebook
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June 07, 2014
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June 07, 2014
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June 07, 2014
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June 07, 2014
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June 07, 2014
Do Now (6/3):
Find the surface area of the solid below.
(Hint: Any area that's inside isn't part of the surface!)
duct
Geo Notes 6.26.6.notebook
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June 07, 2014
3.5 in
Stack the CDs!Volume = area of base (B) x height (h)
* it does not matter if the solid is right or oblique, the volume will remain the same!
Geo Notes 6.26.6.notebook
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June 07, 2014
1. Using the shapes on your tables, create a solid of a certain height.
2. Use a ruler to get your three measurements: the area of the base and the height.
3.Find the volume of the solid using
V = (B)(h)
4. Sketch your solid and label the dimensions.
Volume of Solids
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June 07, 2014
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June 07, 2014
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June 07, 2014
Geo Notes 6.26.6.notebook
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June 07, 2014
Do Now (6/4):
Find the volume of the two figures below.2 m
4 m
6 m
12 m
Geo Notes 6.26.6.notebook
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June 07, 2014
Skittles Activity: Proving the Volume Formula of a Cone
1. Find the volume of the cylinder V = B(h)
2. Fill the cone with skittles.
3. Pour the skittles from the cone into the cylinder. Repeat until cylinder is full.
4. On average how many times will the cone fill the cylinder?
5. What would the volume of the cone be? What would the volume formula be?
Geo Notes 6.26.6.notebook
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June 07, 2014
Geo Notes 6.26.6.notebook
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June 07, 2014
Volume of a Sphere
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June 07, 2014
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June 07, 2014
Do Now (6/5): If the radius of the sphere below is increased by a factor of 3, how much will the surface area increase? How much will the volume increase?
Geo Notes 6.26.6.notebook
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June 07, 2014
Do Now (6/5): If the radius of the sphere below is increased by a factor of 3, how much will the surface area increase? How much will the volume increase?
Geo Notes 6.26.6.notebook
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June 07, 2014
Geo Notes 6.26.6.notebook
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June 07, 2014
Nets of Robot
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June 07, 2014