Geometry
Unit 1A
“Tools of Geometry”
Essential Questions:
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Can you label and define indefined terms.
Can you find fractional midpoint of two endpoints?
Can you identify and classify angles and find missing
angles?
Can you construct perpendicular bisectors and angle
bisectors?
Enduring Understandings
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Define, find, and label points, lines, planes.
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Find midpoints and fractional points given two endpoints.
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Find segment and angle measures.
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Identify and classify angles.
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Construct segments, angles, and their bisectors.
Academic Vocabulary
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See below.
TEKS G.1A
, G.1B , G.1C , G.1D , G.1E , G.1F
, G.1G , G.2A , G.4A , G.5B , G.5C
Learning Targets
Define undefined terms and label them.
Find distance, midpoint, fractional points, unknown endpoints, angle measures, and unknown
angles.
Construct angle, angle bisectors, and perpendicular bisectors.
Teacher Management
During this unit, students lay the foundation for geometry by developing an understanding of the structure
of a geometric system through examination of the relationship between undefined terms (point, line, and
plane), definitions, conjectures and postulates. Students examine one-dimensional distance relationships
in line segments, including fractional distances and midpoints, and make connections to the number line
and segment addition. They also examine relationships in rays and angles making connections to the
angle measure and angle addition. Constructions are used to explore and make conjectures about
congruent geometric relationships in line segments and angles. They connect their understanding of
definitions and postulates of lines, angles, and other geometric vocabulary to the context of the real world.
Estimated Time
7 – 9 days
Materials
Compass
Straight edge
Protractor
Calculator
Teacher notes
Online textbook
Experience
Students will identify points, lines, planes, as well as label them with Geometric symbols.
Students will calculate missing lengths of segments using the segment addition postulate. They
will also relate and identify them in real world scenarios. They will define, label, and calculate
midpoints and fractional midpoints. Angles will be categorized, measured, and bisected.
Students will also find the missing angles using the angle sum theorem. Identify angle pairs as
supplementary, complementary, linear pairs, vertical pairs, adjacent angles, and nonadjacent
Rockwall HS Feeder Lesson Plan Template
Updated 05/14/2015
1
pairs. Students will also construct perpendicular bisectors and angle bisectors with a compass
and straight edge only.
Literacy Strategies
Students will write a “how to” list of instructions describing to someone how to construct the
perpendicular bisector.
Synthesis
Students will be angle to construct perpendicular bisectors and angle bisectors. Students will
meet and exceed expectations on quizzes and tests.
Teacher Note
Some students may think a conditional statement and its converse are logically equivalent, rather than
testing to determine their truth value.
Differentiation
Students will complete Challenge Problems to demonstrate expansion of the basic lesson.
Vocabulary:
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Line Segment – part of a line between two points on the line, called endpoints of the segment
Midpoint of a Line Segment – the point halfway between the endpoints of a line segment
One-Dimensional Coordinate System – numbers used as locations of points on a number line
Postulates (Axioms) – true statements not requiring proof
Undefined Terms – terms not formally defined and used to define other terms/concepts in a mathematical system
Related Vocabulary:
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Acute angle
Adjacent angles
Angle
Angle addition
Angle mesasure
“Betweenness”
Collinear
Compass
Complementary angles
Coplanar
Defined terms
Degree measure
Rockwall HS Feeder Lesson Plan Template
Updated 05/14/2015
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Distance
Exterior of an angle
Interior of an angle
Intersection
Length
Line
Linear pair of angles
Non-collinear
Non-coplanar
Number line
Obtuse angle
Point
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Postulate
Ray
Right angle
Segment addi
Space
Straight angle
Straight edge
Supplementar
Vertex
Vertical angle
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