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INFORMAL GEOMETRY – UNIT 6
Polygons and Circles – Part I
Glencoe: Geometry: Concepts and Applications
Target Time Frame: 10 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.
19 – States and applies properties of
triangles and quadrilaterals such as
parallelograms, rectangles, rhombi,
squares, and trapezoids.
21 – Uses properties of quadrilaterals to
establish and test relationships involving
diagonals, angles, and lines of symmetry.
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
polygons and triangles?
All
10.1
What is the polygon sum
theorem? How is it
used?
What are the properties
of triangles and
quadrilaterals and how
do they apply?
Polygon sum
theorems
10.2
All
8.2 – 8.5
Sections
8.1
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?
20 – Recognizes and applies the properties How do we apply
of inequalities to the measures of segments properties of inequalities
to the measures of
and angles in triangles.
segments and angles?
IMPORTANT STANDARD
EOCT Domains Taught in this Unit:
UNIT COMMENTS:
DEPTH for
MASTERY
All
Throughout unit
All
Throughout unit
All
8.2 – 8.5
Sections
COMMENTS