Download Unit 7

INFORMAL GEOMETRY – UNIT 7
Polygons and Circles – Part II
Glencoe: Geometry: Concepts and Applications
Target Time Frame: 11 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.
26 – States and applies the Pythagorean
Theorem and its converse.
27 – States and applies properties of
special right triangles, such as 45-45-90
and 30-60-90 triangles.
28 – Identifies and evaluates tangent, sine,
and cosine ratios for an acute angle of a
right triangle; uses a table, calculator, or
computer to find the ratio for a given
angle or find the angle for a given ratio.
29 – Uses the tangent, since, and cosine
ratios for right triangles to solve
application problems such as indirectmeasurement problems.
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 is the Pythagorean
Theorem and how is it
used?
What are the properties
of special right triangles?
How are they used?
All
6.6
All
13.2 – 13.3
What is SohCahToa and
how is it used to solve
problems?
All
13.4
What is SohCahToa and
how is it used to solve
problems?
All
13.4
Sections
COMMENTS
Supplement – Teach
simplifying square
roots without
calculators
ESSENTIAL
QUESTION
30 – Identifies and defines circles and their What are the parts of a
circle? How do we
parts (center, arc, interior, exterior);
identify different types of
segments and lines associated with circles
(chord, diameter, radius, tangent, secant); arcs?
properties of circles (congruent, concentric,
tangent); relationship of polygons and circles
(inscribed, circumscribed); angles (central;
inscribed; formed by tangents, chords, and
secant).
31 – Applies geometric relationships to
How do you find the
measure of different arcs,
solving problems, such as relationships
angles, and segments?
between lines and segments associated
with circles, the angles they form, and the
arcs they subtend; and the measures of
these arcs, angles, and segments.
34 – Finds the area of triangles,
What is the formula for
parallelograms, rectangles, squares,
finding the area of a
trapezoids, regular polygons, circles, and
sector and how do you
apply it?
sectors.
ESSENTIAL STANDARD
DEPTH for
MASTERY
Parts of a
circle, arcs
11.1 – 11.4
All
11.1, 11.2, 11.3
Area of sector
11.6
Sections
COMMENTS
Area of sector only
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?
IMPORTANT STANDARD
EOCT Domains Taught in this Unit:
UNIT COMMENTS:
DEPTH for
MASTERY
All
Throughout unit
All
Throughout unit
Sections
COMMENTS