Download Unit 3

INFORMAL GEOMETRY – UNIT 3
Points, Lines, Planes, and Angles – Part II
Glencoe: Geometry: Concepts and Applications
Target Time Frame: 9 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).
12 – Recognizes parallel lines and planes,
skew lines, and pairs of angles formed when
two lines are cut by a transversal (alternate
and same side, interior and exterior,
corresponding).
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 examples of
parallel lines, skew lines,
alternate, consecutive,
and interior angles?
Angles, lines
and planes
4.1 – 4.3
??
4.1
Sections
COMMENTS
IMPORTANT STANDARD
4 – Uses inductive and deductive reasoning
to reach conclusions, identifies conjectures
and counterexamples, and describes the
nature of a deductive mathematical system.
6 – Uses formal and/or informal logical
reasoning processes.
ESSENTIAL
QUESTION
What is the difference
between inductive and
deductive reasoning?
DEPTH for
MASTERY
All
Throughout unit
How do you use formal
and informal reasoning
processes?
All
Throughout unit
Perpendicular
and parallel
lines
DEPTH for
MASTERY
Parallel lines
4.1
13 – Applies basic facts about points, lines
and planes, and about perpendicular and
parallel lines and planes.
COMPACT STANDARD
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.
EOCT Domains Taught in this Unit:
UNIT COMMENTS:
ESSENTIAL
QUESTION
How do you prove lines
parallel?
Sections
Sections
4.4
COMMENTS
COMMENTS