Ellison High School Lesson Plan
Teacher Name:
KING
Unit 01:
Content:
GEOMETRY
Foundations of Geometry (10 days)
2013-2014
Possible Lesson 01 (4 days)
Lesson Synopsis:
Students develop an understanding of the structure of geometric systems from undefined terms including point,
line, and plane to postulates and theorems. Undefined terms are used to define foundational vocabulary for
geometry. Undefined and defined terms are used to build postulates and theorems and applied to problem
situations.
TEKS: G.1 Geometric structure.. The student understands the structure of, and relationships within, an axiomatic system. The student is
expected to:
G.1A Develop an awareness of the structure of a mathematical system, connecting definitions, postulates, logical reasoning, and theorems.
G.1B Recognize the historical development of geometric systems and know mathematics is developed for a variety of purposes. Supporting
Standard
G.1C Compare and contrast the structures and implications of Euclidean and non-Euclidean geometries. Supporting Standard
G.2 Geometric structure.. The student analyzes geometric relationships in order to make and verify conjectures. The student is expected to:
G.2A Use constructions to explore attributes of geometric figures and to make conjectures about geometric relationships. Supporting
Standard
G.2BMake conjectures about angles, lines, polygons, circles, and three-dimensional figures and determine the validity of the conjectures,
choosing from a variety of approaches such as coordinate, transformational, or axiomatic. Readiness Standard
G.7 Dimensionality and the geometry of location.. The student understands that coordinate systems provide convenient and efficient ways of
representing geometric figures and uses them accordingly. The student is expected to:
G.7A Use one- and two-dimensional coordinate systems to represent points, lines, rays, line segments, and figures. Supporting Standard
GETTING READY FOR INSTRUCTION
Performance Indicator(s):
Study and analyze the map and number line provided below: Create a chart with a verbal description and
specific examples that compare and contrast the concepts of points (location), lines, planes, distance
(measure), congruence, and “betweenness” (segment and angle addition postulates) among Euclidean and
taxicab geometry. Summarize how formal constructions can be used to create a number line and a
protractor.
Standard(s): G.1A , G.1B , G.1C , G.2A , G.2B , G.7A
ELPS ELPS.c.1C , ELPS.c.3D , ELPS.c.3H
Key Understandings and Guiding Questions:
 Euclidean geometry is an axiomatic system connecting undefined terms (point, line, and plane), definitions,
postulates, theorems, and logical reasoning.
 Non-Euclidean systems of geometry have been developed for a variety of purposes and therefore, are built on
a different structure of terms, definitions, and postulates.
Vocabulary of Instruction:
 acute angle
 grid
 point
 adjacent angles
 interior of an angle
 postulate
 angle
 intersection
 ray
 “betweenness”
 length
 right angle
 bisector of a segment
 line
 skew lines
 bisector of an angle
 line segment
 space
 collinear
 linear pair of angles
 straight angle
 complementary angles
 non-collinear
 supplementary angles
 congruent angles
 non-coplanar
 taxicab geometry
 coplanar
 non-Euclidean geometry
 theorem
 defined terms
 obtuse angle
 undefined term
 degree measure
 parallel lines
 vertex
 distance
 perpendicular lines
 vertical angles
 Euclidean geometry
 plane
 exterior of an angle
Materials:
 chart markers (1 set per 2 students)
 chart paper (1 sheet per 2 students)
 compass (1 per student)
 local map (1 per 4 students)
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Local Resource(s)
protractor (1 per student)
ruler (1 per student)
straight edge (1 per student)
ACTIVITIES
GEOMETRY
2013-2014
MONDAY (August 26)
INTRODUCTIONS
EXPECTATIONS
TUESDAY (August 27)
LESSON OBJECTIVE: Foundation of Geometry
INSTRUCTION: History of Geometry
NOTES: MIMEO GEO Lesson 1-1 Geometry History
ASSIGNMENT: NONE
WEDNESDAY (August 28)
LESSON OBJECTIVE: Foundation of Geometry
INSTRUCTION: Points, Lines, Planes
NOTES: Points, Lines, Planes (C-Scope)
ASSIGNMENT: Points, Lines, Planes Practice Problems(C-Scope)
THURSDAY (August 29)
LESSON OBJECTIVE: Foundation of Geometry
INSTRUCTION: Distance and Length (C-Scope)
NOTES: Distance and Length (C-Scope)
ASSIGNMENT: Distance and Length Practice Problems (C-Scope)
FRIDAY(August 30)
LESSON OBJECTIVE: Foundation of Geometry
INSTRUCTION: All About Angles (C-Scope)
NOTES: All About Angles (C-Scope)
ASSIGNMENT: All About Angles Practice Problems (C-Scope)
NOTES
Teacher Introduction
– Who you are speaking to
Seating – Alphabetically (numbered seat)
Calculator Number - Clicker Number
Classroom Management Plan
Logs – Tardy, Discipline, Tutor, Late work
In Box & Out Box
Assignments Posted – Know Objective
Web Site
Rewards- Tardy – Assignments