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Geometry
Points, Lines, Planes, and Angles
(8 days)
Objective
Activities
Work in groups and
find as many examples
of (1) points, (2)
parallel, perpendicular,
and skew lines, (3)
parallel and
perpendicular planes in
the room as possible.
This can be extended to
many aspects of points,
lines, and planes.
Suggested HW
Program of Studies
CC 4.1
P.9-11;13-28
30-37, 47-49
50, 54
use geometric models and ideas
to gain insights into and answer
questions in other areas of
mathematics and into other
disciplines and areas of interest,
such as art and architecture
Students will analyze and
apply spatial relationships
(not using Cartesian
coordinates) among
points, lines and planes
(e.g., betweenness of
points, midpoint, segment
length, collinear,
coplanar, parallel,
perpendicular, skew).
1-2 Students will measure
and determine the
accuracy of their
measurement (1 day)
Work in groups and
measure various objects.
Then discuss the
precision and accuracy of
their measurements.
Pg 17-19 13-49 odd
1-3 Students will find the
distance between points
and find midpoints of a
segment.
Plot points in the
coordinate plane and
calculate distances
between points as well as
midpoints using both
geometry and algebra.
Pg 25-27
13-45 odd,47-53
Students will understand that
measurable attributes of objects
and the units, systems and
processes of measurement are
powerful tools for making sense of
the world around them.
Students will find the distance
between two points using their
coordinates and the Pythagorean
theorem or the distance formula
Students will find the midpoint of a
segment when the coordinates of
the endpoints are identified.
1-4 Students will
measure and classify
angles
Use a compass and a
straightedge to complete
constructions
Pg 34-36
14-38,43-46
1-1 Students will identify
and model points, lines,
and planes
Students will perform
constructions such as a line
parallel to a given line through a
point not on the line, the
perpendicular bisector of a line
segment and the bisector of an
angle
Students will analyze and
apply spatial relationships
(not using Cartesian
coordinates) among
points, lines and planes
(e.g., betweenness of
points, midpoint, segment
length, collinear,
coplanar, parallel,
perpendicular, skew).
Students will analyze and
apply angle relationships
(e.g., linear pairs, vertical,
complementary,
supplementary,
corresponding and
alternate interior angles)
in real-world and
mathematical problems
1-5 Students will identify
special angle pairs and
perpendicular lines
Use a compass and a
straightedge to complete
constructions
Pg 42-43
11-34,39-42
Students will identify and apply the
definitions, properties and
theorems about line segments,
rays and angles and use them to
prove theorems in Euclidean
geometry, solve problems and
perform basic geometric
constructions using a straight
edge and a compass.
Students will be able to
perform constructions
such as a line parallel to
a given line through a
point not on the line, the
perpendicular bisector of
a line segment and the
bisector of an angle.
1-6 Students will identify
polygons and calculate
perimeter of polygons
Use doubling of
coordinates to explore the
size of segments and the
Pg 49-50
13-33 odd,35-44
Students will describe how change
in one or more dimensions of a
geometric figure or object affects
the perimeter, circumference, area
and/or volume of the figure or
object.
Students will describe
how a change in one or
more dimensions of a
geometric figure affects
the perimeter, area and
volume of the figure.
2.1 Students will make
conjectures based on
inductive reasoning and
the use of
counterexamples
2.2 Students will
determine truth values
Pg 64-66
11-43odd
Students will establish the validity
of geometric conjectures using
deduction, prove theorems and
critique arguments made by others
Pg 72-74
19-47 odd
2-3 Students will write
conditional statements
Pg 78-80
17-31 odd,41-48
Students will establish the validity
of geometric conjectures using
deduction, prove theorems and
critique arguments made by others
Students will establish the validity
of geometric conjectures using
deduction, prove theorems and
critique arguments made by
others.
2-4 Students will use
deductive reasoning to
draw conclusions.
Pg 85-87
13-29
perimeter of polygons.
Standard Assessment
Reasoning 8 days
Students will establish the validity
of geometric conjectures using
deduction, prove theorems and
critique arguments made by
Students will use spatial
relationships to prove
basic theorems
others.
2.5 Students will use and
indentify basic postulates
about points, lines and
planes
Pg 92-93
13-27,29-38
Students will establish the validity
of geometric conjectures using
deduction, prove theorems and
critique arguments made by
others.
Students will identify
definitions, axioms and
theorems, explain the
necessity for them and
give examples of them.
2.8 Students will apply
theorems involving
supplements,
complements, congruent
angles and right angles
Pg 112-114
17-39 ,41-45
Students will identify, explain the
necessity of and give examples of
definitions, axioms and theorems.
Students will use spatial
relationships to prove
basic theorems.
3.1 Students will identify
relationships between two
lines or two planes
Pg 129-131
23-49 odd,49-51,53-75 odd
Students will identify and apply
properties and theorems about
parallel and perpendicular lines
and use them to prove theorems
and to perform constructions.
3.2 Students will use
parallel line properties to
find angle measures
Pg 136-138
15-37 odd,39-58
Students will analyze and apply
angle relationships (e.g., linear
pairs, vertical, complementary,
supplementary, corresponding and
alternate interior angles) in realworld or mathematical situations.
3.3 Students will find
slopes and identify
perpendicular and parallel
lines based on slope
Pg 142-144
15-37 odd, 40,47-72
Students will identify and apply
properties and theorems about
parallel and perpendicular lines
and use them to prove theorems
and to perform constructions.
Standard Assessment
Parallel and
Perpendicular
Lines 8 days
Students will apply
algebraic concepts and
graphing in the
coordinate plane to
analyze and solve
problems (e.g., finding
the final
coordinates for a
specified polygon,
midpoints, between-ness
of points, parallel and
perpendicular lines, the
distance between two
points, the slope of a
segment).
3.4 Students will write the
equation of a line
Pg 148-150
15-43 odd,45-49
Students will identify and apply
properties and theorems about
parallel and perpendicular lines
and use them to prove theorems
and to perform constructions
3.5 Prove two lines are
parallel based on given
angle relationships
Pg 155-157
13-39 odd
Students will analyze and apply
angle relationships (e.g., linear
pairs, vertical, complementary,
supplementary, corresponding and
alternate interior angles) in realworld or mathematical situations.
3.6 Students will find the
distance between parallel
lines
Pg 162-164
11-27 odd,31-43odd
Students will identify and apply
properties and theorems about
parallel and perpendicular lines
and use them to prove theorems
and to perform constructions.
Standard Assessment
Students will apply
algebraic concepts and
graphing in the
coordinate plane to
analyze and solve
problems (e.g., finding
the final
coordinates for a
specified polygon,
midpoints, between-ness
of points, parallel and
perpendicular lines, the
distance between two
points, the slope of a
segment).
Key Questions:
Triangles
1. Students will be able to identify and use parts of congruent
triangles.
2. Students will be able to identify and use perpendicular bisectors,angle bisectors, medians, and altitudes of triangles.
3. Students will be able to identify similar figures and use ratios and proportions to solve problems.
4. Students will be able to use the Pythagorean theorem and properties of triangles to solve problems.
Objective
Activities
Suggested HW
Program of Studies
CC 4.1
4-1 Classify
Triangles
Define vocabulary
Classify triangles by
sides and angles.
Find missing values
Glencoe p181 #13-37
classify, determine
attributes of, analyze and
apply properties of twodimensional geometric
figures and threedimensional objects
MA-HS-3.1.4 Students will use
angle relationships to prove basic
theorems.
4-2 Angles of
Triangles
Define vocabulary
Apply Angle Sum
Theorem and Exterior
Angle Theorem
Find missing values
Glencoe p189 #11-38
classify, determine
attributes of, analyze and
apply properties of twodimensional geometric
figures and threedimensional objects
MA-HS-3.1.5
Students will classify and apply
properties of two-dimensional
geometric figures (e.g., number
of sides, vertices, length of
sides, sum of interior and
exterior angle measures).
4-3 Congruent
Triangles
Define vocabulary
Name and label
corresponding parts of
congruent triangles
Glencoe p195 #9-25
MA-HS-3.1.4
Students will use angle
relationships to prove basic
theorems.
4-4 Proving
Congruence - SSS,
SAS
Define vocabulary
Determine if two
triangles are congruent
using SSS postulate
and SAS postulate
Glencoe p204 #11-27
use the definitions,
properties and theorems
about congruent and
similar triangles and other
figures to prove
additional theorems and
apply these to solve realworld problems
use the definitions,
properties and theorems
about congruent and
similar triangles and other
figures to prove
additional theorems and
apply these to solve realworld problems
MA-HS-3.1.12
Students will apply the concepts
of congruence and similarity to
solve real-world and
mathematical problems.
4-5 Proving
Congruence - ASA,
AAS
Define vocabulary
Determine if two
triangles are congruent
using ASA postulate
and AAS theorem
Glencoe p211 #9-28
4-6 Isosceles
Triangles
Define vocabulary
Use properties of
isoscles and equilateral
triangles.
Find missing values
Glencoe p219 #9-28,2527,40
4-7 Triangles and
Coordinate Proof
Define vocabulary
Position triangles for
use in coordinate
proofs.
Find missing values
Glencoe p224 #10-29
Chapter 4 Test
use the definitions,
properties and theorems
about congruent and
similar triangles and other
figures to prove
additional theorems and
apply these to solve realworld problems
use the definitions,
properties and theorems
about congruent and
similar triangles and other
figures to prove
additional theorems and
apply these to solve realworld problems
MA-HS-3.1.12
Students will apply the concepts
of congruence and similarity to
solve real-world and
mathematical problems.
MA-HS-3.1.12
Students will apply the concepts
of congruence and similarity to
solve real-world and
mathematical problems.
use Cartesian coordinates and other coordinate systems (e.g.,
navigational, polar, spherical systems) to analyze geometric
situations
5-1 Bisectors,
Medians, and
Altitudes
Define vocabulary
Use, identify, and
construct bisectors,
medians, and altitudes.
Find missing values
Glencoe p243 #13-30
Perform constructions such
as a line parallel to a given
line through a point not on
the line, the perpendicular
bisector of a line segment
and the bisector of an
angle.
5-2 Inequalities
and Triangles
Recognize and apply
the properties of
inequalities for angles
and sides of a triangle.
Apply the Exterior Angle
Inequality Theorem
Glencoe p252 #17-34,37-42,45-50
5-3 Indirect Proof
Define vocabulary
Use indirect proof and
proof by contradiction.
Glencoe p258 #7-27
5-4 The Triangle
Inequality
Apply the Triangle
Inequality Theorem
Determine the shortest
distance between a
point and a line
Glencoe p264 #14-37, 4144
5-5 Inequalities
Involving Two
Triangles
Apply the SAS and SSS
Inequalities
Glencoe p270 #3-6,919,25,26
MA-HS-3.4.3
Students will be able to perform
constructions such as a line parallel
to a given line through a point not
on the line, the perpendicular
bisector of a line segment and the
bisector of an angle.
establish the validity of
geometric conjectures using
deduction, prove theorems
and critique arguments
made by others
MA-HS-3.4.1
Students will identify definitions,
axioms and theorems, explain the
necessity for them and give
examples of them.
use the definitions,
properties and theorems
about congruent and
similar triangles and other
figures to prove
additional theorems and
apply these to solve realworld problems
MA-HS-3.1.12
Students will apply the concepts
of congruence and similarity to
solve real-world and
mathematical problems.
Chapter 5 Test
6-1 Proportions
Define vocabulary
Write ratios and use the
properties of
proportions.
Glencoe p285 #12-35
calculate and apply ratios,
proportions, rates and
percentages to solve
problems
MA-HS-1.4.1
Students will apply ratios,
percents and proportional
reasoning to solve real-world
problems (e.g., those involving
slope and rate, percent of
increase and decrease) and will
explain how slope determines a
rate of change in linear functions
representing real-world
problems.
6-2 Similar
Polygons
Define vocabulary
Identify similar figures
and parts of similar
figures.
Solve
problems using scale
factors
Glencoe p293 #11-20, 3439
calculate and apply ratios,
proportions, rates and
percentages to solve
problems
MA-HS-1.4.1
Students will apply ratios,
percents and proportional
reasoning to solve real-world
problems (e.g., those involving
slope and rate, percent of
increase and decrease) and will
explain how slope determines a
rate of change in linear functions
representing real-world
problems.
6-3 Similar
Triangles
Identify similar triangles
and parts of similar
triangles.
Use
similar triangles to solve
problems.
Glencoe p302 #10-32
calculate and apply ratios,
proportions, rates and
percentages to solve
problems
MA-HS-1.4.1
Students will apply ratios,
percents and proportional
reasoning to solve real-world
problems (e.g., those involving
slope and rate, percent of
increase and decrease) and will
explain how slope determines a
rate of change in linear functions
representing real-world
problems.
6-4 Parallel Lines
and Proportional
Parts
Define vocabulary
Use proportional parts
of triangles.
Divide a segment into
parts.
Glencoe p312 #14-37
6-5 Parts of Similar
Triangles
Recognize and apply
proportional
relationships of
corresponding
perimeters, angle
bisectors, altitudes, and
medians of similar
triangles. Find missing
values.
Glencoe p320 #10-28
6-6 Fractals and
Self-Similarity
Define vocabulary
Recognize and describe
characteristics of
fractals. Create their
own fractal.
Glencoe p328 #4-29
calculate and apply ratios,
proportions, rates and
percentages to solve
problems
identify and apply
properties and theorems
about parallel and
perpendicular lines and
use them to prove
theorems and to perform
constructions
calculate and apply ratios,
proportions, rates and
percentages to solve
problems
MA-HS-1.4.1
Students will apply ratios,
percents and proportional
reasoning to solve real-world
problems (e.g., those involving
slope and rate, percent of
increase and decrease) and will
explain how slope determines a
rate of change in linear functions
representing real-world
problems.
use the definitions,
properties and theorems
about congruent and
similar triangles and other
figures to prove
additional theorems and
apply these to solve realworld problems
MA-HS-3.1.12
Students will apply the concepts
of congruence and similarity to
solve real-world and
mathematical problems.
MA-HS-1.4.1
Students will apply ratios,
percents and proportional
reasoning to solve real-world
problems (e.g., those involving
slope and rate, percent of
increase and decrease) and will
explain how slope determines a
rate of change in linear functions
representing real-world
problems.
Chapter 6 Test
7-1 Geometric
Mean
Define vocabulary
Find the geometric
mean between two
numbers.
Find
missing values.
Glencoe p346 #1334,42,43
7-2 The
Pythagorean
Theorem and Its
Converse
Define vocabulary.
Use the Pythagorean
Theorem and its
converse.
Glencoe p354 #12-37
MA-HS-2.1.3
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean theorem) to
determine length and angle
measures to solve real-world and
mathematical problems.
explore the relationships
between the right triangle
trigonometric functions,
using technology (e.g.,
graphing calculator) as
appropriate
MA-HS-2.1.3
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean theorem) to
determine length and angle
measures to solve real-world and
mathematical problems.
MA-HS-2.1.4
Students will apply special right
triangles and the converse of the
Pythagorean theorem to solve realworld problems.
7-3 Special Right
Triangles
Use properties of 45-4590 triangles and
properties of 30-6090 triangles
Glencoe p360 #12-31,3640
explore the relationships
between the right triangle
trigonometric functions,
using technology (e.g.,
graphing calculator) as
appropriate
MA-HS-2.1.3
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean theorem) to
determine length and angle
measures to solve real-world and
mathematical problems.
MA-HS-2.1.4
Students will apply special right
triangles and the converse of the
Pythagorean theorem to solve realworld problems.
7-4 Trigonometry
Define vocabulary
Find trigonometric ratios
using right triangles.
Solve problems using
trigonometric ratios.
Glencoe p368 #18-58
explore the relationships
between the right triangle
trigonometric functions,
using technology (e.g.,
graphing calculator) as
appropriate
MA-HS-2.1.3
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean theorem) to
determine length and angle
measures to solve real-world and
mathematical problems.
MA-HS-2.1.4
Students will apply special right
triangles and the converse of the
Pythagorean theorem to solve realworld problems.
7-5 Angles of
Elevation and
Depression
Define vocabulary
Solve problems
involving angles of
elevation and
depression.
Glencoe p373 #1-25
explore the relationships
between the right triangle
trigonometric functions,
using technology (e.g.,
graphing calculator) as
appropriate
MA-HS-2.1.3
Students will apply definitions
and properties of right triangle
relationships (right triangle
trigonometry and the
Pythagorean theorem) to
determine length and angle
measures to solve real-world and
mathematical problems.
MA-HS-2.1.4
Students will apply special right
triangles and the converse of the
Pythagorean theorem to solve realworld problems.
7-6 The Law of
Sines
Define vocabulary
Use the Law of Sines to
solve triangles.
Solve problems using
the Law of Sines.
Glencoe p380 #16-34
identify, explain the
necessity of and give
examples of definitions,
axioms and theorems
MA-HS-3.4.1
Students will identify definitions,
axioms and theorems, explain the
necessity for them and give
examples of them.
7-7 The Law of
Cosines
Define vocabulary
Use the Law of Cosines
to solve triangles.
Solve problems using
the Law of Cosines.
Glencoe p388 #11-34
identify, explain the
necessity of and give
examples of definitions,
axioms and theorems
MA-HS-3.4.1
Students will identify definitions,
axioms and theorems, explain the
necessity for them and give
examples of them.
Geometry
Ch 8 Quadrilaterals
(1.5 weeks)
Key Questions:
1. Students will be able to find the sum of the measures of the interior and exterior angles of a polygon.
2. Students will recognize and apply the properties of the sides, angles, and diagonals of parallelograms.
3. Students will recognize the conditions that ensure a quadrilateral is a parallelogram.
4. Students will recognize and apply the properties of a rectangle.
5. Students will recognize and apply the properties the properties of rhombi and squares.
6. Students will recognize and apply the properties the properties of trapezoids.
Objective
Activities
Suggested HW
Program of Studies
Core Content
8-1 Angles of Polygons
(.5 day)
1. Complete chart of
polygons’ angle
measurements
Glencoe. P407-408 #13-65
odd
Extension; P410
analyze and apply angle relationships
(e.g., linear pairs, vertical,
complementary, supplementary,
corresponding and alternate interior
angles) in real-world or mathematical
situations
MA-HS-3.1.3
8-2 Parallelograms
(1 day)
1. Geometry activity p411
Glencoe. P414-415 #1-51
odd
classify, determine attributes of,
analyze and apply properties of twodimensional geometric figures and
three-dimensional objects
8-3 Tests for
Parallelograms
(1 day)
1. Geometry activity p417
Glencoe. P420-423 odd
classify, determine attributes of,
analyze and apply properties of twodimensional geometric figures and
three-dimensional objects
8-4 Rectangles
(.5 day)
1.Construction activity
p425
2. Create a putt-putt golf
hole
Glencoe. P427-430 #1-63
odd
classify, determine attributes of,
analyze and apply properties of twodimensional geometric figures and
three-dimensional objects
8-5 Rhombi and Squares
(1 day)
1. Tangrams
Glencoe. P434-437 #1-67
odd
classify, determine attributes of,
analyze and apply properties of twodimensional geometric figures and
three-dimensional objects
8-6 Trapezoids
(1 day)
1. Quilt designs
2. Foldable
Glencoe. P442-445 #1-61
odd
classify, determine attributes of,
analyze and apply properties of twodimensional geometric figures and
three-dimensional objects
MA-HS-3.1.5
Students will classify and
apply properties of twodimensional geometric figures
(e.g., number of sides, vertices,
length of sides, sum of interior
and exterior angle measures).
MA-HS-3.1.5
Students will classify and
apply properties of twodimensional geometric figures
(e.g., number of sides, vertices,
length of sides, sum of interior
and exterior angle measures).
MA-HS-3.1.5
Students will classify and
apply properties of twodimensional geometric figures
(e.g., number of sides, vertices,
length of sides, sum of interior
and exterior angle measures).
MA-HS-3.1.5
Students will classify and
apply properties of twodimensional geometric figures
(e.g., number of sides, vertices,
length of sides, sum of interior
and exterior angle measures).
MA-HS-3.1.5
Students will classify and
apply properties of twodimensional geometric figures
Students will analyze and
apply angle relationships
(e.g., linear pairs, vertical,
complementary,
supplementary,
corresponding and
alternate interior angles)
in real-world and
mathematical problems
(e.g., number of sides, vertices,
length of sides, sum of interior
and exterior angle measures).
Unit Eight Test
Transformations
(1.5 weeks)
Standard Assessment
Key Questions:
1. Students will draw reflected images, lines of symmetry, and points of symmetry.
2. Students will draw translated images using coordinates and repeated reflections.
3. Students will draw rotated images using the angle of rotation.
4. Students will identify regular tessellations and create tessellations with specific attributes.
5. Students will determine whether a dilation is an enlargement, a reduction, or a congruence
transformation.
6. Students will use matrices to determine the coordinates of translations, dilations, reflections, and
rotations.
Objective
Activities
Suggested HW
Program of Studies
Core Content
9-1 Reflections
(1 day)
1. Kaleidoscope design
Glencoe. P. 467-469 #1-61
odd
understand and represent
transformations within a plane
(translations, reflections, rotations and
dilations) of figures by using sketches,
coordinates, vectors, function
notation, matrices and technology
MA-HS-3.2.1
Students will identify and
describe properties of and
apply geometric
transformations within a
plane to solve real-world
and mathematical problems.
9-2 Translations
(1 day)
1. Tessellation design
Glencoe. P. 472-475 #1-59
odd
understand and represent
transformations within a plane
(translations, reflections, rotations and
dilations) of figures by using sketches,
coordinates, vectors, function
notation, matrices and technology
MA-HS-3.2.1
Students will identify and
describe properties of and
apply geometric
transformations within a
plane to solve real-world
and mathematical problems.
9-3 Rotations
(1 day)
1. Triangle rotation
Glencoe. P. 478-482 #1-67
odd
understand and represent
transformations within a plane
(translations, reflections, rotations and
dilations) of figures by using sketches,
coordinates, vectors, function
notation, matrices and technology
MA-HS-3.2.1
Students will identify and
describe properties of and
apply geometric
transformations within a
plane to solve real-world
and mathematical problems.
Glencoe. P. 485-488 #1-65
odd
understand and represent
transformations within a plane
(translations, reflections, rotations and
dilations) of figures by using sketches,
MA-HS-3.2.1
Students will identify and
describe properties of and
apply geometric
9-4 Tessellations
(1 day)
1. Geometry activity
P. 482
2. Research M.C.
Escher and
tessellations in
art
coordinates, vectors, function
notation, matrices and technology
transformations within a
plane to solve real-world
and mathematical problems.
9-5 Dilations
(1 day)
Glencoe. P. 493-497 #1-65
odd
understand and represent
transformations within a plane
(translations, reflections, rotations and
dilations) of figures by using sketches,
coordinates, vectors, function
notation, matrices and technology
MA-HS-3.2.1
Students will identify and
describe properties of and
apply geometric
transformations within a
plane to solve real-world
and mathematical problems.
9-7 Transformations with
matrices
(1 day)
Glencoe. P. 508-511 #1-57
odd
understand and represent
transformations within a plane
(translations, reflections, rotations and
dilations) of figures by using sketches,
coordinates, vectors, function
notation, matrices and technology
MA-HS-3.2.1
Students will identify and
describe properties of and
apply geometric
transformations within a
plane to solve real-world
and mathematical problems.
Unit Nine Test
Standard Assessment
Areas of
Polygons and
Circles 6 days
11.1 Students will find
perimeters and areas of
parallelograms
Pg 598-600
9-31 ,34-52 even
Students will describe
how a change in one or
more dimensions of a
geometric figure affects
the perimeter, area and
volume of the figure.
11.2 Students will find
areas of triangles,
trapezoids and rhombi
Pg 606-609
14-52 even
Students will describe
how a change in one or
more dimensions of a
geometric figure affects
the perimeter, area and
volume of the figure.
11.3 Students will find
areas of regular polygons
and circles
Pg 613 9-13, 15-41 odd
Students will apply
definitions and properties
of right triangle
relationships (right
11.4 Students will find the
area of irregular figures.
triangle trigonometry and
the Pythagorean
theorem) to determine
length and angle
measures to solve realworld and mathematical
problems.
Pg 619-621
10-28 even
11.5 Students will solve
problems involving
sectors and segments of
circles
Students will represent
probabilities in multiple ways (e.g.,
fractions, decimals, percentages,
geometric area models).
Standard Assessment
Students will describe
how a change in one or
more dimensions of a
geometric figure affects
the perimeter, area and
volume of the figure.
Surface Area
(1 week)
Key Questions:
1. Students will identify and use three-dimensional figures.
2. Students will draw two-dimensional models for three dimensional figures and calculate surface area.
3. Students will calculate lateral and surface areas of prisms.
4. Students will calculate lateral and surface areas of cylinders.
5. Students will calculate lateral and surface areas of regular pyramids.
6. Students will calculate the lateral and surface areas of cones.
7. Students will calculate the lateral and surface areas of spheres.
12-1 Three-Dimensional
Figures
(1 day)
12-2 Nets and Surface
Area
(1 day)
12-3 Surface Areas of
Prisms
(1 day)
1. Nets
Glencoe. P. 639-642 #1-61
odd
classify, determine attributes of,
analyze and apply properties of twodimensional geometric figures and
three-dimensional objects
MA-HS-3.1.9
Glencoe. P. 645-648 #1-53
odd
classify, determine attributes of,
analyze and apply properties of twodimensional geometric figures and
three-dimensional objects
MA-HS-3.1.9
Glencoe. P. 651-654 #1-57
odd
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
pyramids, cylinders, cones and
Students will classify and
apply properties of threedimensional geometric
figures
Students will classify and
apply properties of threedimensional geometric
figures
12-4 Surface Areas of
Cylinders
(1 day)
Glencoe. P. 657-659 #1-43
odd
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
12-5 Surface Areas of
Pyramids
(1 day)
1. Egyptian Pyramid
project
Glencoe. P. 663-665 #1-43
odd
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
12-6 Surface Areas of
Cones
(1 day)
1. Volume project
Glencoe. P. 668-670 #1-55
odd
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
12-7 Surface Areas of
Spheres
(.5 day)
1. Geodome movie and
activity
Glencoe. P. 674-676 #1-53
odd
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
Unit Twelve Test
Standard Assessment
spheres in real-world and
mathematical problems
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
pyramids, cylinders, cones and
spheres in real-world and
mathematical problems
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
pyramids, cylinders, cones and
spheres in real-world and
mathematical problems
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
pyramids, cylinders, cones and
spheres in real-world and
mathematical problems
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
pyramids, cylinders, cones and
spheres in real-world and
mathematical problems
Volume
(.5 week)
Key Questions:
1. Students will calculate volumes of prisms and cylinders.
3. Students will calculate volumes of pyramids and circular cones.
4. Students will calculate volumes of spheres.
Objective
13-1 Volumes of Prisms
and Cylinders
(1day)
Activities
1. Geometry activity P.
688
Suggested HW
Glencoe. P. 691-694 #1-51
odd
Program Of Studies
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
Core Content
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
13-2 Volume of Pyramids
and Cones
(1 day)
13-3 Volumes of Spheres
(.5 day)
1. Geometry activity P.
696
Glencoe. P. 698-701 #1-43
odd
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
Glencoe. P.704-706 #1-47
odd
determine the surface area and volume
of right rectangular prisms, pyramids,
cylinders, cones and spheres
in realistic problems
Geometry
pyramids, cylinders, cones and
spheres in real-world and
mathematical problems
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
pyramids, cylinders, cones and
spheres in real-world and
mathematical problems
MA-HS-2.1.1
Students will determine the
surface area and volume of
right rectangular prisms,
pyramids, cylinders, cones and
spheres in real-world and
mathematical problems