Common Core Mathematics Lesson Sequence
High School Geometry
Disclaimer:
The following sample unit is intended to provide an example of a possible flow of instruction. Consider this a work in progress. As a sample
instructional plan, it should invite discussion and development. It is not intended to be prescriptive, only suggestive. It may provide ideas and guidance
in the development of conceptual understanding through a sample sequence of lessons. This UNIT can be adapted, modified, expanded, delivered as-is,
or not used at all. Lessons are not time bound, they may extend beyond a day. It simply provides an example unit of instruction which corporates:
 Integration of the 8 mathematical practices for mathematics
 Investigative tasks
 Formative assessment and performance assessments
In this Unit, you will find specific standards are NOT listed within each lesson, due to the fact that the lessons integrate multiple standards to better
address conceptual understanding.
Previous Lesson
Upon entering Geometry, students will
have been exposed to the basic geometric
figures and concepts. (eg: parallel lines,
perpendicular lines, angles and shapes)
Grade Level Standard(s)
Central to Lesson
Make formal geometric constructions
with a variety of tools and methods
(HSG-CO.12)
Construct an equilateral triangle, a
square and a regular hexagon inscribed
in a circle. (HSG-CO.13)
Upcoming Concept
Understand congruence… using physical
models, transparence or geometry
software. (8.G.1.a.b.c; )
Know precise definitions of many items
based on the undefined notions of point,
line, etc. (HSG-CO.1)
GEOMETRY UNIT 1 Suggested Lesson Plans
Weeks 1 and 2: approximately 10 days
Lesson
Topic of Lesson & Description
Number
Lesson 1 Topic: Basic Constructions:
Copy line segment, angle, bisect
segment, bisect angle
Materials & Resources
Prentice Hall Geometry Section 1-5, pp 34, 35, 37). See also attached pages.
Activities: “Optics” p38 # 18, Construction exercises p 39 #29 – 36, “Cabinet Worker” p 40 (box),
“Constructions” p 252: #32
“Polly Gone”, http://insidemathematics.org/problems-of-the-month/pom-pollygone.pdf
“What’s Your Angle”,
http://www.nsa.gov/academia/_files/collected_learning/elementary/geometry/whats_your_angle.pdf
Common Core Mathematics Lesson Sequence
High School Geometry
Lesson 2 Topic: More Constructions:
parallel lines through a point
not on the line, and
Perpendicular through a point
on the line, and through a point
not on the line
Lesson 3 Topic: Advanced Constructions:
construct a square, regular
hexagon, a circumscribed and
inscribed circle within or about
a given figure, and an
equilateral triangle inscribed in
a circle.
Links: Math is Fun website, constructions http://www.mathsisfun.com/geometry/constructions.html
Mathopenref.com, constructions: http://mathopenref.com/tocs/constructionstoc.html
Prentice Hall Geometry Section 3-7: pp 165-170
Activities: “Paper folding”, textbook p 169, Constructions p 169, # 16, 17, Paper folding
exploration p 256, 257, Challenge problems p 169-170, #27 – 36
Links: Mathopenref.com, constructions: http://mathopenref.com/tocs/constructionstoc.html
Activities: Snoopy Square p 38, #19, Constructions p 169, # 18 – 25; Exploring Area and
Circumference p 401; Constructions: p 260: #17, 18, p 588: #32; Kaleidoscopes p 661
Attached project: Making 3-dimensional Octahedra and Classroom decorations
Links: Mathopenref.com, constructions: http://mathopenref.com/tocs/constructionstoc.html