Download Geometry Unit 10 Plan (July 2015)

Geometry Unit 10 Plan – 12 Periods
Unit of Study: Circles Geometry Unit 10
Standard(s) to be Assessed
HSG-C.A.2
Identify and describe relationships among
inscribed angles, radii, and chords. Include
the relationship between central, inscribed,
and circumscribed angles; inscribed angles on
a diameter are right angles; the radius of a
circle is perpendicular to the tangent where
the radius intersects the circle
Learning Target to be
Assessed
LT1: Identify and describe
relationships among angles,
radii, and chords.
LT2: Identify and describe
relationships among central,
inscribed, and circumscribed
angles.
LT3: Apply the relationship in
a circle in which inscribed
angles on a diameter are right
angles.
LT4: Apply the relationship in
a circle in which the radius of
a circle is perpendicular to the
tangent where the radius
intersects the circle.
HSG-C.A.3 (supporting standard)
Construct the inscribed and circumscribed
circles of a triangle, and prove properties of
angles for a quadrilateral inscribed in a circle
LT5: Apply properties of
angles for a quadrilateral
inscribed in a circle.
HSG-CO.D.13 (supporting standard)
Construct an equilateral triangle, a square,
and a regular hexagon inscribed in a circle.
LT6: Construct an equilateral
triangle, a square, and a
regular hexagon inscribed in a
circle.
Pre/Post Angle
Relationships
Assessment
Item #s
Unit
Common
Assessment
Item #s
33
1, 2, 3, 4
30
5, 6, 7
8
31
9
10
Notes:
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Instruction should include constructions related to HSG-CO.D.13 and learning target 6 for constructing an
equilateral triangle, a square, and a regular hexagon inscribed in a circle.
The first part of HSG-C.A.3 is included in Unit 5 instruction but not assessed on the common assessment.
Identifying and describing the relationships including secants and tangents should be included in instruction for
this unit.
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Geometry Unit 10 Plan – 12 Periods
Instructional Information for Circles Geometry Unit 10 (10 periods)
Big Idea: Lines, angles, and circles describe real-world relationships.
Essential Question: What are some examples of underlying geometric concepts in a drawing of a belt and pulley
system?
Resources:
Formative Assessment Lessons: http://map.mathshell.org/materials/lessons.php
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