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Geometry: Circles
Concept
Circles and Arc
Core Content
Number
MA-HS-3.1.6
Core Content
Student Outcomes
Students will now the
definitions and basic properties
of a circle and will use them to
prove basic theorems and solve
problems.
SWBAT:
 To find the measures of
central angles and arcs
 To find circumference and
arc length
Areas of
Circles and
Sectors
MA-HS-3.1.6
Students will now the
definitions and basic properties
of a circle and will use them to
prove basic theorems and solve
problems.
SWBAT:
 To find the areas of circles,
sectors, and segments of
circles
Tangent Lines
MA-HS-3.1.6
Students will now the
definitions and basic properties
of a circle and will use them to
prove basic theorems and solve
problems.
SWBAT:
 To use the relationship
SWBAT:
 To use congruent chords,
arcs, and central angles
 To recognize properties of
lines through the center of
a circle
SWBAT:
 To find the measure of an
inscribed angle
 To find the measure of an
angle formed by a tangent
and a chord.
 To find the measures of
angles formed by chords,
secants, and tangents
SWBAT:
 To find the lengths of
segments associated with
circles
Chords and
Arcs
MA-HS-3.1.6
Students will now the
definitions and basic properties
of a circle and will use them to
prove basic theorems and solve
problems.
Angles in
Circles
MA-HS-3.1.4
Students will use angle
relationship is to prove basic
theorems.
Segment
Lengths
MA-HS-3.1.6
Students will now the
definitions and basic properties
of a circle and will use them to
prove basic theorems and solve
problems.
Circles in the
Coordinate
Plane
MA-HS-3.1.6
Students will now the
definitions and basic properties
of a circle and will use them to
prove basic theorems and solve
problems.

between a radius and a
tangent
To use the relationship
between two tangents from
one point
SWBAT:
 To write an equation of a
circle
 To find the center and
radius of a circle