Download Unit 4

INFORMAL GEOMETRY – UNIT 4
Triangles – Part I
Glencoe: Geometry: Concepts and Applications
Target Time Frame: 12 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.
11 – Classifies triangles as acute, right,
obtuse, equilateral, isosceles, scalene; and
classifies polygons as regular, convex,
congruent.
14 – States and applies the triangle sum,
exterior angles, and polygon angle sum
theorems.
15 – Identifies congruent figures and
recognizes congruence in practical
applications.
17 – Identifies congruent triangles and
right triangles using basic congruence
postulates and 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
How do you classify a
triangle?
Classify
triangles
5.1
What is the sume of the
interior angles of a
triangle?
How do you prove
triangles congruent?
Triangle sum
and exterior
angles
All
5.2
How do you prove right
triangles congruent?
All
5.5 – 5.6
6.5
Sections
5.4 – 5.6
COMMENTS
ESSENTIAL STANDARD
22 – Identifies similar figures in practical
applications; identifies similar triangles
and other similar polygons by using their
properties.
23 – Recognizes and applies properties of
similar polygons using ratio and
proportion.
ESSENTIAL
QUESTION
How do you prove
triangles similar?
DEPTH for
MASTERY
Traingles
How do properties relate
to polygons?
All
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?
13 – Applies basic facts about points, lines What are the
and planes, and about perpendicular and
relationships between
parallel lines and planes.
parallel lines inside
triangles?
20 – Recognizes and applies the properties How do inequalities
of inequalities to the measures of segments relate to triangles?
and angles in triangles.
How do properties relate
24 – Applies properties dealing with
to parallel lines and
parallel lines and proportion.
proportion?
25 – Solves problems involving similar
How do properties relate
to polygons?
polygons.
43 – Uses transformations to examine
How do you prove
triangles congruent?
symmetry, similarity, and congruence of
geometric figures.
IMPORTANT STANDARD
Sections
COMMENTS
9.2 – 9.3
9.2
9.4
9.6
DEPTH for
MASTERY
All
Throughout unit
All
Throughout unit
Points, lines,
perpendicular,
and parallel
lines
All
9.5
All
9.3
9.6
All
9.2
All
5.4
Sections
7.3
COMMENTS
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 determine
that triangles are
congruent?
DEPTH for
MASTERY
Congruent
triangles,
proportional
segments
Sections
5.5
9.4
COMMENTS