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Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective,
concerned citizens and contributing members of the global community.
Course Number 425
Course Description
Title Geometry Part A
Grade 10
# of Days 60
Geometry is the branch of mathematics that deals with measurement and shape. This course is designed to cover
plane geometry (the study of figures in two dimensions), solid geometry (the study of figures in three
dimensional space), analytical geometry (the study of position in space determined by coordinates), including
transformations, and algebraic reasoning. Real life applications will be included for all topics.
MAJOR COURSE OBJECTIVES:
1. Identify and use properties of basic figures of geometry to solve problems.
2. Develop inductive and deductive reasoning skills.
3. Obtain solutions to problems that are related to geometric measurements.
4. Discovering and proving triangle properties.
5. Discovering and proving polygon properties.
Instructional Strategies
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



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
Direct instruction
Group work
Individual student work
Projects
Quizzes
Tests
Unannounced quick quizzes
Ticket to leave
Student Learning
Expectations
1.
2.
3.
4.
5.
6.
Read, write and communicate effectively.
Utilize technologies appropriately and effectively.
Apply critical thinking skills.
Explore and express ideas creatively.
Participate in learning both individually and collaboratively.
Demonstrate personal, social, and civic responsibility.
1
Whitman-Hanson Regional High School provides all students with a high- quality education in order to develop reflective,
concerned citizens and contributing members of the global community.
Course Number 426
Course Description
Instructional Strategies
Student Learning
Expectations
Title Geometry Part B
Grade 10
# of Days 60
Geometry is the branch of mathematics that deals with measurement and shape. This course is designed to cover
plane geometry (the study of figures in two dimensions), solid geometry (the study of figures in three
dimensional space), analytical geometry (the study of position in space determined by coordinates), including
transformations, and algebraic reasoning. Real life applications will be included for all topics.
MAJOR COURSE OBJECTIVES:
1. Discovering and proving circle properties.
2. Use two-dimensional geometric models to represent and solve area problems.
3. Model and solve problems using the Pythagorean Theorem.
4. Use three-dimensional geometric models to represent and solve volume problems.
5. Apply the properties of similarity to model and solve problems.
6. Use the definitions of the trigonometric functions to model and solve problems.








1.
2.
3.
4.
5.
6.
Direct instruction
Group work
Individual student work
Projects
Quizzes
Tests
Unannounced quick quizzes
Ticket to leave
Read, write and communicate effectively.
Utilize technologies appropriately and effectively.
Apply critical thinking skills.
Explore and express ideas creatively.
Participate in learning both individually and collaboratively.
Demonstrate personal, social, and civic responsibility.
2
Chapter
Class
preparation
0
1.1
Building
Blocks of
Geometry
Introducing
Imp.
vocabulary
1.1
1.1
1.2 & 1.3
(poolroom
math and
angles)
Review 1.11.3
Objective
To review trimester expectations
-To see examples of geometry in
nature and art.
-To practice using compass and
straightedge.
Students will use computer to
understand, illustrate, and label key
vocabulary terms.
To become familiar with common
vocabulary and related those terms to
geometric shapes.
To understand midpoint
-Review use of a protractor
-To understand parts of math
definition
-To learn angle definitions
-To review concepts presented so far
-To prepare for following day’s quiz
Quiz 1.1-1.3
1.4
Polygons
1.5
Triangles
1.6
Special
Quadrilaterals
-To assess concepts presented so
far
-To classify polygons
-Identify the characteristics of:
 Equilateral polygons
 Equiangular polygons
 Regular polygons
-To understand the different
characteristics of triangles:
 Acute
 Obtuse
 Right
 Equiangular
 Scalene
 Isosceles
 Equilateral
-To understand the characteristics
of quadrilaterals:
 Quadrilateral
 Parallelogram
 Rectangle
 Rhombus
 Square
3
Review
1.4-1.6
 Trapezoid
 Isosceles trapezoid
 kite
-To review concepts presented so
far
-To prepare for following day’s
quiz
4
Quiz
1.9
-To assess concepts presented so far
-To reinforce word problem solving
strategies
1.7
Circles
-To introduce/review basic vocabulary
terms
1.7
Circles
Review
Day
-Apply all previous knowledge with
angles to circles
-To prepare students for following
day’s test on chapter.
Test
Chapter
2.1
Inductive
Reasoning
2.2
Linear Rule
2.2
2.4
Deductive
Reasoning
Review
Ch 2,
Sections
1, 2 & 4
Quiz
Ch 2,
Sections
1, 2 & 4
2.5
-To test students on concepts
presented so far.
Objective
-To understand the concept of
Inductive Reasoning which is the
process of observing data, recognizing
patterns and making generalizations
about those patterns.
-To practice to write linear rules
-To understand the concept of
deductive reasoning and the need to
provide justification for every piece of
reasoning.
-To review concepts presented so far
-To prepare for following day’s quiz
-To assess concepts presented so far
-The after quiz assignment formally
states that vertical angles are
congruent and linear pairs of angles
are supplementary. We have already
informally discussed these properties.
Chapter
2.6
Special Angles
on Parallel
Lines
Objective
-To identify properties of special
angle pairs when 2 parallel lines
are cut by a transversal
 Vertical angles
 Corresponding angles
 Alternate interior angles
 Alternate exterior angles
5
Review
Chapter 2,
Sections
5&6
Quiz
Chapter 2,
Sections
5&6
Review
Day
Test
Chapter 2,
Sections
1 – 2, 4 – 6
Chapter 3
Constructions
Chapter 3
Point of
Concurrency
Chapter 3
Point of
Concurrency
Applications
Chapter 4
Sections 1 & 2
Triangle Sum
Conjecture
and Properties
of Isosceles
Triangles
Chapter 4
Section 3
Triangle
Inequalities
Review
Chapter 4
Sections 1, 2,
&3
Quiz
Chapter 4
Sections 1, 2,
&3
Chapter 4
Sections 4 & 5
Triangle
Congruence
 Parallel lines conjecture
-To review concepts presented so
far
-To prepare for following day’s
quiz
-To assess concepts presented so
far
-To prepare students for following
day’s test on chapter.
-To test students on concepts
presented so far.
-To Construct with tools and
folding
 Angle Bisectors
 Perpendicular Bisectors
 Altitudes
 Medians
To Identify points of concurrency
in different types of triangles
To apply knowledge of points of
concurrency to word problems.
To Discover and explain the sum
of the measures of the angles of a
triangle
To discover a relationship between
the base angles of an isosceles
triangle
To investigate among sides and
angles in triangles
To discover the exterior angles
conjecture
-To review concepts presented so
far
-To prepare for following day’s
quiz
To assess concepts presented so far
To explore shortcut methods for
determining whether triangles are
congruent.
To discover valid and invalid
6
Shortcuts
Chapter 4
Section 4
Proofs
Chapter 4
Section 5
Proofs
Chapter 4
Section 6
Corresponding
Parts of
Congruent
Triangles are
Congruent
Review
Chapter 4
Sections 4, 5,
&6
Quiz
Chapter 4
Sections 4, 5,
&6
4.8 Special
Triangles
Review Day
Chapter 4
congruence conjectures
Practice Deductive Reasoning
Skills by proving congruent
triangles.
Develop problem solving skills
Practice Deductive Reasoning
Skills by proving congruent
triangles.
Develop problem solving skills
Show that pairs of angles or sides
are congruent by identifying
related triangles and proving them
congruent, then applying CPCTC
Practice deductive reasoning.
-To review concepts presented so
far
-To prepare for following day’s
quiz
To assess concepts presented so far
To investigate vertex angle
bisectors of isosceles triangles
Use properties of isosceles
triangles to find properties of
equilateral triangles
-To review concepts presented so
far
-To prepare for following day’s
quiz
Chapter 4 Test
To assess concepts presented so far
Chapter 5
Sections 1 & 2
Interior and
Exterior
Polygon Angle
Conjectures
Discover the sum of the angle
measure in a polygon
Chapter 5
Kite and
Trapezoid
Properties
Chapter 5
Section 4
Properties of
Midsegments
Review
Discover the sum of the measures
of the exterior angles of a polygon
Write formulas for the measure of
the interior angle of an equiangular
polygon
Discover Kite and Trapezoid
Properties
Define and discover properties of
midsegments in triangles and
trapezoids
-To review concepts presented so
7
Chapter 5
Sections 1-4
Quiz
Chapter 5
Sections 1-4
Chapter 5
Sections 5 & 6
Properties of
Parallelograms
and Special
Parallelograms
Chapter
Class
preparation
Prerequisite Skill
Review
6.0
6.1
Tangent
Properties
6.2
Chord
Properties
Review 6.1-6.2
and prerequisite
skills
Quiz 6.1-6.2 and
prerequisite
skills
6.3 Arcs and
Angles
6.3 Arcs and
Angles
6.5 The
Circumference/
far
-To prepare for following day’s
Quiz
To assess concepts presented so far
Discover properties of
parallelogram s
Discover properties of rectangles,
rhombuses, and squares.
Objective
To review trimester expectations
To review simplifying radicals
-To review Pythagorean
Theorem
-To review Square Bionomials
- Review basic properties of a
circle and circle vocabulary
-Discover properties of tangents
of circles
-Explore common tangents and tangent circles
-Learn applications of tangents
-Discover properties of chords to
a circle
-Apply properties of chords to
circle problems
- To review material and
prepare for quiz.
-To quiz students on concepts
presented so far.
-Discover relationships between
an inscribed angle of a circle and
its intercepted arc.
-Discover relationships between
an inscribed angle of a circle and
its intercepted arc.
-Calculate pi, the ratio of
circumference of a circle to its
8
Diameter Ratio
6.6 Around the
World
6.7
Arc Length
diameter
-Apply the formula for the
circumference of a circle
-
-
Review Sections
6.3-6.7
-
Discover a formula for
finding the length of an arc
of a circle
Apply the formula for arc
length
Review material for a quiz
the next day.
Quiz Sections
6.3-6.7
-To quiz students on concepts
presented so far.
Review Chapter
6
Chapter 6 Test
-Review all material presented
for chapter 6 for test next day.
-To test students on concepts
presented so far.
Translations and
Reflections
Rotations
-
Review
All
Transformations
Quiz on
Transformations
8.1Areas of
Rectangles and
Parallelograms
8.2 Areas of
Triangles,
Trapezoids, and
Kites
8.3
Area Problems
8.4
Area of Regular
Polygons
Be able to translate or
reflect an image
- Be able to rotate a figure 90,
180, 270, 360 degrees
clockwise and
counterclockwise
- Be able to rotate a polygon
using the interior angle
conjecture.
Review transformations for a
quiz the next day.
-To quiz students on concepts
presented so far.
-Develop the concept of area
-Apply formulas to solve
problems
-Solve area application problems
using various problem solving
strategies
-Develop reading
comprehension and cooperative
behavior
-Derive a way to find area of a
polygon using formulas we
already have.
-Apply to solve area problems
9
Review
Ch 8, Sections
1-4
Quiz
Ch 8, Sections
1- 4
-To review concepts presented
so far
-To prepare for following day’s
quiz
-To quiz students on concepts
presented so far.
-Apply area of a circle formula
to problems
8.5
Area of Circles
8.5Area of
Circles
8.6 Any way you
slice it
8.7
Surface Area
Review 8.5-8.7
Quiz 8.5-8.7
Review Chapter
8
Chapter 8 Test
9.1The Theorem
of Pythagoras
9.2 The Converse
of the
Pythagorean
Theorem
9.3 Special Right
Triangles
9.3 Special Right
Triangles
9.4
-. Discover formulas and
methods for calculating the area
of annuluses, sectors, and
segments of circles.
-Discover method for finding the
surface area of solids
-Practice when you need a
formula vs. when you need a
picture diagram
-To prepare students for
following day’s quiz .
-To prepare students for
following day’s test on the
chapter

To test students on
concepts presented so
far.
-Understand the Pythagorean
theorem more deeply
-Discover the converse of the
Pythagorean theorem
-Practice simplifying square
roots
-Investigate Special Right
Triangles
-Use MCAS formula sheet to
practice problems using special
right triangles
-Practice simplifying square
roots
-Investigate Special Right
Triangles
-Use MCAS formula sheet to
practice problems using special
right triangles
-Apply the Pythagorean theorem
10
Story Problems
9.5
Distance
Formula
Review Chapter
9
Review Chapter
9
Test Chapter 9
10.1
The Geometry of
Solids
10.2
Volume of
Prisms and
Cylinders
10.3
Volume of
Pyramids and
Cones
and its converse to solve story
problems
- Discover the Pythagorean
theorem relationship on a
coordinate plane (distance
formula)
- Use the distance formula to
find distance between two
points and solve word
problems.
-To prepare students for
following day’s test on the
chapter
-To prepare students for
following day’s test on the
chapter
To assess concepts presented so
far
-Find the Volume of Prisms,
Cylinders, Pyramids, and Cones
using MCAS formula sheet
10.1
The Geometry of
Solids
10.2
Volume of
Prisms and
Cylinders
10.3
Volume of
Pyramids and
Cones
-
Find the Volume of
Irregular Based Solids
10.1
The Geometry of
Solids
10.2
Volume of
Prisms and
Cylinders
10.3
Volume of
Pyramids and
Cones
-Review Volume of Prisms,
Cylinders, Pyramids, and Cones
with Regular and Irregular
Bases.
11
10.6
Volume of a
Sphere
10.7 Surface
Area of a Sphere
Review Chapter
10
Test Chapter 10
11.1
Similar Polygons
11.2
Similar
Triangles
11.2
Similar
Triangles
11.3 Indirect
Measurement
with Similar
Triangles
11.5
Proportions with
Area
11.6
Proportions with
Volume
Review Chapter
11
Test Chapter 11
Introduction to
Trig Functions
Trig-Finding a
Side
Trig-Finding an
Angle
-Apply volume formula to
problems involving spheres and
hemispheres
-Apply the surface area of a
sphere formula to solve
problems
-To prepare students for
following day’s quiz .
To assess concepts presented so
far
- Define similar polygons
- Use the definition of similar
polygons to solve problems
- Discover shortcut methods
for determining similar
triangles
- Practice using proportions
to find measures in similar
figures.
- To understand how similar
triangles are formed.
-Use similar triangles to solve
applied problems
-
Discover the relationship
between the areas of similar
figures
- Discover the relationship
between the surface areas of
similar solids
- Apply similarity conjectures
to solve problems involving
area
- Discover the relationship
between volumes of similar
solids
- Apply the similarity
conjectures to problems
involving volume
-To prepare students for
following day’s test.
To assess concepts presented so
far
- Identify the trig functions
- Be able to make ratios using
the trig functions
- Use trig ratios and functions
to find the missing side of a
right triangle
- Use trig ratios and functions
to find the missing angle of
a right triangle
12
Trig-Right
Triangle
Review Trig
Quiz Trig
-
Practice finding missing
sides and angles of right
triangles using trig
-To prepare students for
following day’s quiz .
To assess concepts presented so
far
13