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THE ASHTON SCHOOL
WEEKLY LESSON PLAN TEMPLATE
Teacher _____________Bethany Miller
Week of:
Subject ______Geometry____________
Grade: ___ 10A/B
_____March 24-28
Standard(s)
G.MG.3 Apply geometric methods to solve problems.
G.C.1 Prove that all circles are similar
G.C.2 Identify and describe relationships among inscribed angles, radii, and chords.
G.C.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.
G.C.4 Construct a tangent line from a point outside a given circle to the circle
G.C.5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the
angle as the constant of proportionality; derive the formula for the area of a sector.
G.CO.12 Make formal geometric constructions with a variety of tools and methods
1. Make sense of problems and persevere in solving them.
4. Model with mathematics
5. Use appropriate tools strategically
Essential Questions
What are the properties of similar polygons? How are proportions used to make drawings of large objects small enough to fit on paper?
Assessment (Formative and Summative)
Homework, exit slips, individual and group work.
Lesson Plan
Outline
Monday
Tuesday
Wednesday
Thursday
Friday
Observa
tions
G.C.2 Identify and
describe
relationships among
inscribed angles,
radii, and chords.
G.C.5 Derive using
similarity the fact
that the length of the
arc intercepted by an
angle is proportional
to the radius, and
define the radian
measure of the angle
as the constant of
proportionality;
derive the formula
for the area of a
sector.
Homework review
G.C.2 Identify and
describe
relationships
among inscribed
angles, radii, and
chords.
G.MG.3 Apply
geometric methods
to solve problems.
G.C.2 Identify and
describe relationships
among inscribed
angles, radii, and
chords.
G.C.3 Construct the
inscribed and
circumscribed circles
of a triangle, and prove
properties of angles for
a quadrilateral
inscribed in a circle.
G.CO.12 Make formal
geometric constructions
with a variety of tools
and methods
G.C.4 Construct a
tangent line from a
point outside a given
circle to the circle
G.C.4 Construct a
tangent line from a
point outside a given
circle to the circle.
Homework review
Homework review
Homework review
Homework review
Introduce New Introduce central
angle, arc, minor arc,
Information
Introduce arcs and
chords and their
bisectors
Introduced inscribed
angle and intercepted
arc.
Introduce tangent, point
of tangency, and
common tangent
Introduce definition
of secant and
intersections on or
inside a circle
Weekly Goals
(Benchmarks
& Indicators)
Accessing
Prior
Knowledge
(APK) and
sometimes R
(review)
major arc, semicircle,
congruent arcs,
adjacent arcs, and arc
length
Application
Guided practice
through in class
examples. Continued
application through
homework problems
Generalization
Find the measure of
the angle using the
measure of the arc.
Adapted from the GANAG schema -
Guided practice
through in class
examples.
Continued
application
through homework
problems
Find the bisector of
the arc and
compare it with the
chord.
Guided practice
through in class
examples. Continued
application through
homework problems
Guided practice through
in class examples.
Continued application
through homework
problems
Guided practice
through in class
examples. Continued
application through
homework problems
Find the measure of
the inscribed angle.
Find the point of
tangency on the circle.
How does an
intersection outside
the circle affect the
measure.
Improving Student Learning One Teacher at a Time by Jane E. Pollock ©2007