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KHSDgeometry
LearningTargets1-3
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Geometry Objectives & Learning Targets 1.0 - 3.0
1.0
Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning
.
2.0
Students write geometric proofs, including proofs by contradiction
.
3.0
Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement
.
Learning Targets:
I can identify the undefined terms -
point
,
line
, and
plane
.
I can give examples of a
point
,
line
, or
plane
.
I can name
Points, Lines, Planes, Segments, Rays,
and
Angles
.
I can identify and give examples of
axioms/postulates
,
theorems
, and their
corollaries
.
I can identify and understand how to apply
Foundational Definitions
- length, angle measure.
I know the definition of
Inductive Reasoning
and can show examples of
Inductive Reasoning
.
I know the definition of
Deductive Reasoning
and can show examples of
Deductive Reasoning
.
Vocabulary:
Segment
Endpoints
Ray
Angle
Vertex of the Angle
Sides of the Angle
Acute Angle
Right Angle
Obtuse Angle
Complementary Angles
Supplementary Angles
Collinear
Coplanar
Naming Points, Lines, Planes, Segments, Rays, Angles
Intersection
Postulates (also known as Axioms)
Conjecture
Equidistant
Equiangular
Definitions:
Definition Segment
Definition of Length
Definition of Ray
Definition of Angle
Definition of Angle Measure
Definition of Parallel Lines
Definition of Perpendicular Lines
Definition of Segment Bisector
Deinition of Midpoint
Definition of Perpendicular Bisector
Definition of Angle Bisector
Properties:
Linear Pair Property
Postulates:
The intersection of two lines is a point.
The intersection of two planes is a line.
Through any two points there is exactly one line.
Through any three noncollinear points there is exactly one plane.
If two points are in a plane, then the line containing them is also in the plane.
Segment Congruence Postulate
Segment Addition Postulate
Angle Congruence Postulate
Angle Addition Postulate
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1.0 Students demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning.
2.0 Students write geometric proofs, including proofs by contradiction.
3.0 Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement.
Learning Targets:
Vocabulary:
Definitions:
Properties:
Postulates: