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G. 3-D Geometry and Measurement Math 9
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G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Dec 17, 2015

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Page 1: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

G. 3-D Geometry and Measurement

Math 9

Page 2: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Outcomes

• SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms, and composite 3-D objects.

Page 3: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Big Ideas

• To find the Surface Area of a 3D object you only need to find the area of all the faces and add them together.

Page 4: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Key Terms

Page 5: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

1. Surface Area Made up of Right Rectangular Prisms

• SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms, and composite 3-D objects.

Page 6: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 7: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 8: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 9: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 10: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 11: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 12: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 13: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

• The object the we just looked at in the last to examples is called a Composite Object because it is made up of other objects.

Page 14: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Example 1

Page 15: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Example 2

Page 16: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Example 3

Page 17: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Practice

• Ex. 1.3 (p.30)

• #1-6, 8, 10-13, 15

• Or

• #5-6, 8, 10-13, 14-17

Page 18: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

2. Surface Area of More Composite Objects

• SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right triangular prisms, and composite 3-D objects.

Page 19: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 20: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 21: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

• We are going to use the same ideas from last day to calculate the area of the different composite objects that we will look at today and any you might see in the future

• All you have to do is find the area of each piece of the object separately then add the areas together.

• We are going to add Right Cylinders and Right Triangular Prisms to the Rectangular Prisms that we looked at last day.

Page 22: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

• We have formulas to find the area of these objects using a combination of formulas that we already know.

Page 23: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 24: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 25: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 26: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 27: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 28: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 29: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 30: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.
Page 31: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Example 1

Page 32: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Example 2

Page 33: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Example 3

Page 34: G. 3-D Geometry and Measurement Math 9. Outcomes SS9.2 Extend understanding of area to surface area of right rectangular prisms, right cylinders, right.

Practice

• Ex. 1.4 (p..39)

• #3-9, 11, 12, 14

• Or

• #3odds, 4-9, 11, 12, 14, 15, 16