GSE Geometry B
Accelerated Week 2
Instructions for Weekly Math Packets
1. READ and STUDY the lesson portion of the packet.
2. Work the NOW TRY THESE problems within the lesson for practice. CHECK
your answers with the ones provided. These problems will not be turned in.
3. Watch the online digital teacher video for this week’s packet. Find the video
by going to www.faithaca.org. Log on to the virtual classroom and select this
course from your course listing. Click on the Links icon to locate the weekly
video.
4. WORK all problems located at the back of the packet. TURN IN your answer
sheet to be graded.
5. KEEP your packet, problems, and work so that you can refer to them as
needed.
,This page was
intentionally
left blank.
, GSE Geometry B
Accelerated Week 2
Lesson 2.1 Volume of Prisms and Cylinders
Lesson 2.2 Volume of Pyramids and Cones
Lesson 2.3 Volume of Spheres
Lesson 2.4 Writing Equations of Circles
Lesson 2.5 Properties of Parallelograms
Lesson 2.6 Tests for Parallelograms
Lesson 2.7 Rectangles
GSE Geometry B Accelerated Week 2 Page 3 of 43
, Lesson 2.1
Volume of Prisms and Cylinders
Volume: The amount of space enclosed in a three‐dimensional figure. Volume is
measured in cubic units (units3).
Prism: A three‐dimensional figure with the following characteristics:
1. Two faces, called bases, are formed by congruent polygons that lie in
parallel planes.
2. The faces that are not bases, called lateral faces, are formed by
parallelograms.
Cylinder: A figure with bases that are formed by congruent circles in parallel
planes.
Cavalieri’s Principle: If two solids have the same height and the same cross‐
sectional area at every level, then they have the same volume.
(Example: the two stacks of pennies have the same volume.)
GSE Geometry B Accelerated Week 2 Page 4 of 43
Accelerated Week 2
Instructions for Weekly Math Packets
1. READ and STUDY the lesson portion of the packet.
2. Work the NOW TRY THESE problems within the lesson for practice. CHECK
your answers with the ones provided. These problems will not be turned in.
3. Watch the online digital teacher video for this week’s packet. Find the video
by going to www.faithaca.org. Log on to the virtual classroom and select this
course from your course listing. Click on the Links icon to locate the weekly
video.
4. WORK all problems located at the back of the packet. TURN IN your answer
sheet to be graded.
5. KEEP your packet, problems, and work so that you can refer to them as
needed.
,This page was
intentionally
left blank.
, GSE Geometry B
Accelerated Week 2
Lesson 2.1 Volume of Prisms and Cylinders
Lesson 2.2 Volume of Pyramids and Cones
Lesson 2.3 Volume of Spheres
Lesson 2.4 Writing Equations of Circles
Lesson 2.5 Properties of Parallelograms
Lesson 2.6 Tests for Parallelograms
Lesson 2.7 Rectangles
GSE Geometry B Accelerated Week 2 Page 3 of 43
, Lesson 2.1
Volume of Prisms and Cylinders
Volume: The amount of space enclosed in a three‐dimensional figure. Volume is
measured in cubic units (units3).
Prism: A three‐dimensional figure with the following characteristics:
1. Two faces, called bases, are formed by congruent polygons that lie in
parallel planes.
2. The faces that are not bases, called lateral faces, are formed by
parallelograms.
Cylinder: A figure with bases that are formed by congruent circles in parallel
planes.
Cavalieri’s Principle: If two solids have the same height and the same cross‐
sectional area at every level, then they have the same volume.
(Example: the two stacks of pennies have the same volume.)
GSE Geometry B Accelerated Week 2 Page 4 of 43
