Geometry Quarter 1 Curriculum Map
2014-15
• Review Standards
CCSS for Mathematical Practice:
Textbook Resource: Pearson’s Geometry • (M)ajor Content,
1. Make sense of problems and persevere in solving them
Common Core • (S)upporting Content
2. Reason abstractly and quantitatively
Pearson’s online resource: •
(A)dditional
Content
3. Construct viable arguments and critique the reasoning of others
www.pearsonsuccess.net •
(+)
Honors
4. Model with mathematics
5. Use appropriate tools strategically
6. Attend to precision
Insert Constructions as appropriate throughout. 7. Look for and make use of structure
8. Look for and express regularity in repeated reasoning
Unit
Introduction
to Geometry
Parallel and
Perpendicular
Unit 1: Introduction to Geometry
Timeline
Standards
8 days for
G.CO.1 Know precise definitions of angle,
instruction
circle, perpendicular line, parallel line, and
and review
line segment, based on the undefined
notions of point, line, distance along a line,
1 day for
and distance around a circular arc.
assessment
G.CO.9Prove 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.
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.
1st Quarter
Learning Expectation
Identify the building blocks
of geometry
Unit 2: Parallel and Perpendicular
6 days
G.CO.9Prove theorems about lines and
for
angles. Theorems include: vertical angles are
instructio congruent; when a transversal crosses parallel
n and
lines, alternate interior angles are congruent
review
and corresponding angles are congruent;
1st Quarter
Prove that lines are parallel
Describe the attributes of a
segment or angle
Make a conjecture and prove
that it is true
Find the sum of the
measures of the angles of a
triangle.
Suggested Instructional Days: 9
Vocabulary
Resources
Page 2
1-2 Points, Lines, and
Angle bisector
Planes
Congruent segments
Constructions
1-3 Measuring Segments
Linear pair
1-4 & 1-5 Measuring
Perpendicular bisector Angles and Exploring
Postulate
Angle Pairs
Segment bisector
2-2 & 2-3 Conditionals,
Supplementary angles Bi-conditionals, and
Vertical angles
Definitions
2-6 Proving Angles
Page 80
Congruent (Introduce
Biconditional
without proof)
Conclusion
Conditional
Conjecture
Converse
Deductive reasoning
Hypothesis
Inductive reasoning
Theorem
Suggested Instructional Days: 7
Page 138:
3-1 Lines and Angles
Alternate exterior
3-2 Properties of
angles
Parallel Lines
Alternate interior
3-3 Proving Lines
angles
Parallel
Geometry Quarter 1 p. 1
Geometry Quarter 1 Curriculum Map
2014-15
1 day for
assessme
nt
Unit
Congruent
Triangles
points on a perpendicular bisector of a line
segment are exactly those equidistant from the
segment’s endpoints.
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.
Unit 3: Congruent Triangles
Timeline
Standards
7 days • G.CO.6 Use geometric descriptions of rigid
for
motions to transform figures and to predict the
instructio effect of a given rigid motion on a given
n and
figure; given two figures, use the definition of
review
congruence in terms of rigid motions to decide
if they are congruent.
1 day for
assessme
• G.CO.7 Use the definition of congruence in
nt
terms of rigid motions to show that two
triangles are congruent if and only if
corresponding pairs of sides and corresponding
pairs of angles are congruent.
•
G.CO.8 Explain how the criteria for triangle
congruence (ASA, SAS, and SSS) follow from
the definition of congruence in terms of rigid
motions.
Corresponding angles
Exterior angles of
polygons
Parallel lines
Perpendicular lines
Same-side interior
angles
Skew lines
Transversal
2nd Quarter
Learning Expectation
Identify corresponding parts
of congruent triangles
Prove that two triangles are
congruent
Determine whether a triangle
is isosceles or equilateral,
and understand their
properties.
3-4 Parallel and
Perpendicular Lines
*possibly combine with
3-5
3-5 Parallel Lines and
Triangles
Review Algebra
properties of parallel
and perpendicular
lines
Suggested Instructional Days: 8
Vocabulary
Resources
Page 80
4-1 Congruent Figures
Theorem
4-2 Triangle Congruence
by SSS and SAS
Page 216
4-3 Triangle Congruence
Base angles on an
by ASA and AAS
isosceles triangle
2-5 Reasoning in
Base of an isosceles
Algebra and Geometry
triangle
(Proof Introduction)
Congruent polygons
4-4 CPCTC
Corollary
4-5 Isosceles and
Hypotenuse
Equilateral Triangles
Legs of isosceles
4-6 Congruence in Right
triangle
Triangles
Legs of right triangle
Vertex angle of an
isosceles triangle
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.
Geometry Quarter 1 p. 2
Geometry Quarter 1 Curriculum Map
2014-15
End of Quarter 1: October 15
PARCC Resources
PARCC Sample Items
http://www.parcconline.org/samples/mathematics/high-school-mathematics’
PARCC Practice Tests
http://practice.parcc.testnav.com/#
Technology Skills necessary for on-line testing
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