Download Unit 5

INFORMAL GEOMETRY – UNIT 5
Triangles – Part II
Glencoe: Geometry: Concepts and Applications
Target Time Frame: 8 days
ESSENTIAL STANDARD
1 – Solves problems and practical
applications using appropriate approaches
and tools (including calculators and
computers) and judges the reasonableness
of results.
2 – Uses algebraic skills and concepts to
solve geometric problems throughout
geometry.
3 – Uses visualization skills to explore and
interpret both two- and three-dimensional
geometric figures using such topics as
projections, cross sections, and locus
problems.
10 – Identifies and defines or describes
properties associated with points (distance,
between, collinear, coplanar), segments
(midpoint, congruence, bisector), angles
(bisector, congruence, interior, exterior), and
lines and planes (perpendicular, parallel,
intersecting).
14 – States and applies the triangle sum,
exterior angles, and polygon angle sum
theorems.
ESSENTIAL
QUESTION
How do we solve
problems and practical
applications and judge
the reasonableness of the
results?
What algebra skills and
concepts are used in
geometry?
How can visualization
skills help you explore
both solid and plane
geometry?
DEPTH for
MASTERY
All
Throughout unit
All
Throughout unit
All
Throughout unit
What are the properties
of exterior angles of a
triangle?
Exterior
Angles
7.2
What are the properties
of exterior angles of a
triangle?
Exterior
angles
7.2
Sections
COMMENTS
ESSENTIAL
QUESTION
4 – Uses inductive and deductive reasoning What is the difference
to reach conclusions, identifies conjectures between inductive and
deductive reasoning?
and counterexamples, and describes the
nature of a deductive mathematical
system.
6 – Uses formal and/or informal logical
How do you use formal
and informal reasoning
reasoning processes.
processes?
18 – Uses properties of congruence to test
What are the different
interior parts of a
conjectures involving triangles.
triangle? What are the
properties of an isosceles
triangle?
20 – Recognizes and applies the properties Does a triangle exist?
of inequalities to the measures of segments
and angles in triangles.
ESSENTIAL
COMPACT STANDARD
QUESTION
16 – Uses tools such as compass and
??
straightedge, paper folding, tracing paper,
mira, or computer to construct congruent
segments, angles, triangles, and circles; an
angle bisector; a perpendicular bisector; a
perpendicular line from a point on a line;
parallel lines; proportional segments;
tangents; and inscribed and circumscribed
polygons.
IMPORTANT STANDARD
EOCT Domains Taught in this Unit:
UNIT COMMENTS:
DEPTH for
MASTERY
All
Throughout unit
All
Throughout unit
All
6.1 – 6.2
All
7.3 – 7.4
DEPTH for
MASTERY
Angle
Bisector,
Perpendicular
Bisector
Sections
Sections
6.1 – 6.2
6.4
COMMENTS
COMMENTS