Geometry Goal 6 – To Explore the Properties of Three Dimensional Solids
Learning Outcomes
6.1 Classify and Name Solid
FiguresRecognize solid figures
Chapter Reference 9.1
6.2 Surface Areas of Prisms
and Cylinders –
Find the surface areas of prisms
and cylinders
Chapter Reference 9.2
6.3 Surface Area of Pyramids
and Cones –
Find the surface areas of
pyramids and cones
Chapter Reference 9.3
Differentiated Instructional Activities
Text Book
References*
Chapter Resource Book
References
Assessments#
Identify and classify solid figures using
models and solids in the room, outdoors, in
the home, etc.
Pg. 473 – 475
ex: 1 – 4
Pg. 476 – 480
ex 1 - 61
SAT/ACT Chapter Test
Pg. 70 ex: 1 - 2
WT: pg 53^
HQ: pg 54^
Make solids from nets on graph paper and
estimate the surface area by counting
squares.
Develop general understanding of the
process for finding surface area of solid
figures. Students work in groups, handle
figures and develop written explanations
on how to find surface areas for selected
solids.
Use can with label to explain surface area
of cylinder.
Identify formulas for surface areas of
solids.
Use formulas to find surface areas. Use of
calculators is recommended.
Pg. 485 – 486
ex: 1 – 6
Pg. 487 – 490
ex: 1 – 58
SAT/ACT Chapter Test
Pg. 70 ex: 3 – 5
WT: pg. 55
WT: pg. 56
WT: pg. 60 ex: 1 – 2
HQ: pg. 55
Demonstrate process of finding surface
areas of pyramid and cone.
Students work in groups with pyramids
and cones and develop written steps for
finding the surface area of pyramids and
cones.
Identify formulas for surface areas of
pyramids and cones.
Use formulas to find surface areas. Use of
calculators is recommended.
Pg. 493 – 494
ex: 1 – 6
Pg. 495 – 499
ex: 1 – 61
Quiz pg. 499
ex: 4 – 9
Ch. 9 Quiz pg. 35
WT: pg. 57
HQ: pg. 56
* The examples noted are for reference only. Teacher has the decision to assign number of examples to meet needs of the different abilities in the classroom.
^ These references can be found in the WT Transparencies () and Daily Homework Quiz (HQ) booklet.
# End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher.
Learning Outcomes
6.4 Volume of Prisms and
Cylinders –
Find the volumes of prisms and
cylinders
Chapter Reference 9.4
6.5 Volume of Pyramids and
Cones –
Find the volume of pyramids and
cones
Chapter Reference 9.5
6.6 Surface Area and Volume
of Spheres –
Find the surface area and volume
of spheres and hemispheres
Chapter Reference 9.6
Differentiated Instructional Activities
Text Book
References*
Chapter Resource Book
References
Assessments#
Use materials to demonstrate the concept
that the volume of a rectangular solid is
found by determining the base of the figure
and multiplying that area by the number of
layers.
Relate above process to determining
volume of cylinder.
Measure the dimensions of boxes and
cylinders and find the volume.
Identify volume formulas.
Use volume formulas to determine
volumes of prisms and cylinders. Use of
calculators is recommended.
Pg. 501 – 502
ex: 1 – 6
Pg. 503 – 507
ex: 1- 63
Alternative Assessment and
Math Journal pg 71 ex: 2
WT: pg. 58
HQ: pg. 57
If available, use hollow solids to
demonstrate the one third relationship of
the volumes of pyramids and rectangular
solids with equal base areas and heights.
Demonstrate the same relationship for
cones and cylinders with equal area bases
and heights.
Identify formulas for finding the volumes
of pyramids and cones.
Use formulas to find volumes of pyramids
and cones. Use of calculators is
recommended.
Pg. 511 – 512
ex: 1 – 6
Pg. 513 – 516
ex: 1 – 57
SAT/ACT Chapter Test
Pg 70 ex: 8
HQ: pg. 58
Identify the formulas for finding surface
areas and volumes of spheres and
hemispheres.
Working in groups, have students use
formulas to determine the surface areas
and volumes of spheres and hemispheres.
Use of calculators is recommended.
Pg. 518 – 519
ex: 1 – 6
Pg. 519 – 523
ex: 1 – 61
Quiz pg. 523
ex: 1 – 8
Ch. 9 Quiz pg. 62
WT: pg. 58
HQ pg. 59
SAT/ACT Chapter Test
Pg. 70 ex: 6 - 7
Ch. 9 Review pg. 76 ex: 24 – 29
SAT/ACT Chapter Test
Pg. 70 ex: 9 - 10
* The examples noted are for reference only. Teacher has the decision to assign number of examples to meet needs of the different abilities in the classroom.
^ These references can be found in the WT Transparencies () and Daily Homework Quiz (HQ) booklet.
# End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher.
Learning Outcomes
6.7 CAPT Practice
Differentiated Instructional Activities
Text Book
References*
Rainforest Pyramid,
491
Veterinary
Medicine, 497
Lampshade, 498
Swimming Pools,
505
Aquariums, 505
Pet Feeder, 515
Volcanoes, 516
Planetarium, 522
Chapter Resource Book
References
Assessments#
Additional CAPT items can be
found in these materials at the
end of this unit in this
Implementation Guide.
* The examples noted are for reference only. Teacher has the decision to assign number of examples to meet needs of the different abilities in the classroom.
^ These references can be found in the WT Transparencies () and Daily Homework Quiz (HQ) booklet.
# End of Chapter Assessments as well as periodic quizzes are to be determined by the teacher.
6.1 Surface Areas of Prisms and Cylinders
Page 1
Page 2
Page 3
Page 4
6.2 Surface Area of Pyramids and Cones
Page 5
Page 6
Page 7
Page 8
Page 9
6.3 Volume of Prisms and Cylinders
Page 10
Page 11
6.4 Volumes of Pyramids and Cones
Page 12
Page 13
6.5 Surface Area and Volume of Spheres
Page 14
Page 15
Page 16
Page 17
6.6 CAPT Practice
Page 18
Page 19
Page 20
Page 21
Page 22
Page 23
Page 24
Page 25