Download Unit 2

Common Core Curriculum Map 2012-2013
Common Core Math II
Common Core Unit Name:
Unit Number: 2
Postulates, Properties & Proofs
Enduring Understanding:
Students need to know: Segment Addition Postulate, Angle Addition Postulate, Properties of Equality, Properties of Congruence in order to make
sense of problems, persevere in solving them & make use of structure.
Students need to know how to make sense of Proofs(vertical angles are congruent; when a transversal crosses parallel lines and alternate interior angles and
corresponding angles are congruent,
points on perpendicular bisector are equidistant from the segment's endpoints) in order to persevere in solving problems. Students need to know proofs to be able to
construct viable arguments & critique the reasoning of others.
Standard
Essential Questions
G.CO.9 Prove theorems about lines and angles.
Theorems include: vertical angles are congruent; when a
transversal crosses parallel lines, alternate
interior angles are congruent and corresponding angles
are congruent; points on a perpendicular bisector of a line
segment are exactly those
equidistant from the segment’s endpoints.
What are the segment & angle addition postulates?
What are the properties of equality & congruence?
How do I use the postulates & properties individually &
together?
Can I write a proof to prove: the vertical angles theorem?
Can I write a proof to prove: points on a perpendicular
bisector are equidistant from the endpoints of the segment?
Can I write a proof to prove: alternate interior angles
theorem and alternate interior angles converse?
G.CO.1 Know precise definitions of angle, circle,
perpendicular line, parallel line, and line segment, based
on the undefined notions of point, line,
distance along a line, and distance around a circular arc.
AREI 1: Explain each step in solving a simple equation as
following from the equality of numbers asserted at the
previous step, starting from the
assumption that the original equation has a solution.
Construct a viable argument to justify a solution method.
Pacing
Guideline
8 Include day
for review &
day for test
Key Academic
Vocabulary
Segment
Angle
Postulate
Proof
Equality
Congruence
Conjecture
counterexample, converse
theorem
two-column proof
paragraph proof
flow proof
proof
vertical angles
transversal
parallel lines
alternate interior angles
alternate exterior angles
corresponding angles
consecutive interior angles
same side interior angles
perpendicular bisector
equidistant
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Common Core Curriculum Map 2012-2013
Common Core Math II
Common Core Unit Name:
Unit Number:
Suggested Resources by Unit
Location of these resources
Notebooks, pen/pencil, property practice worksheets, McDougal Littell
Geometry Text Book, 2004 edition. McDougal Littell Resources, 2004 edition.
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