Download Unit 5

Common Core Curriculum Map 2012-2013
Common Core Math II
Common Core Unit Name:
Unit Number: 5
Properties of Triangles
Enduring Understanding:
Students will look for & make use of the structure of midsegments and medians of triangles, the segment joining the midpoints of two sides of a triangle is parallel to
the third side and half the length in order to make sense of the problem & persevere in solving problems.
Students will use appropriate tools & attend to precision to inscribed and circumscribed circles of a triangle & to construct equilateral triangle inscribed in a circle.
Standard
G.CO.10 Prove theorems about triangles. Theorems
include: measures of interior angles of a triangle sum
to 180°; base angles of isosceles triangles are
congruent; the segment joining midpoints of two sides
of a triangle is parallel to the third side and half the
length; the medians of a triangle meet at a point.
G.CO.13 Construct an equilateral triangle, a square,
and a regular hexagon inscribed in a circle.
G.C.3 Construct the inscribed and circumscribed
circles of a triangle, and prove properties of angles for
a quadrilateral inscribed in a circle.
Essential Questions
Can I use the properties of midsegments & medians of
triangles to determine lengths of different parts?
Can I construct the inscribed and circumscribed circles of
a triangle?
Can verify that the medians of a triangle meet at a point
and solve appropriate problems?
Can I construct a inscribed equilateral triangle in a circle?
Pacing
Guideline
6 days including
review and test
Key Academic
Vocabulary
midsegment of triangle
median of triangle
segment
triangle
parallel
inscribed circle
circumscribed circle
properties
equilateral triangle
inscribed
equilateral triangle
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Common Core Curriculum Map 2012-2013
Common Core Math II
Unit 5 Properties of Triangles
Suggested Resources by Unit
Location of these resources
http://oaklandk12public.rubiconatlas.org/Atlas/Browse/UnitMap/View/Default?UnitID=15810&Yea
rID=2013&SchoolID=19&TimePeriodID=14&SourceSiteID=&CurriculumMapID=
767&
Graphic Organizer: www.ilovemath.org - "Segments of a Triangle"
Discovery Lesson - www.ilovemath.org - "Discovering Triangle Midsegments"
Use www.classzone.com (must create free account) to assess section
quizzes & tests
http://www.insidemathematics.org/pdfs/geometry/circle-and-squares/packet.pdf
(Modeling problem dealing with proportions of areas of inscribed triangles and
circles.)
http://www.indiana.edu/~iucme/mathmodeling/lessons.htm
(Modeling Problems Resource – “Amusement Park”)
http://www.mathsisfun.com/geometry/construct-triangleinscribe.html
(Simulation of construction of inscribed circle in a triangle.
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