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Geometry Quarter 1 Curriculum Map
2013-2014
• Review Standards
CCSS for Mathematical Practice:
• (M)ajor Content,
1. Make sense of problems and persevere in solving them
• (S)upporting Content
2. Reason abstractly and quantitatively
• (A)dditional Content
3. Construct viable arguments and critique the reasoning of others
• (+) Honors
4. Model with mathematics
5. Use appropriate tools strategically
Textbook Resource: Pearson’s Geometry Common Core 6. Attend to precision
Pearson’s online resource: www.pearsonsuccess.net 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
7 days
G.CO.1 Know precise definitions of angle,
for
circle, perpendicular line, parallel line, and line
instructio segment, based on the undefined notions of
n and
point, line, distance along a line, and distance
review
around a circular arc.
1st Quarter
Learning Expectation
Identify the building blocks
of geometry
1 day for
assessme
nt
Make a conjecture and prove
that it is true
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.
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;
Describe the attributes of a
segment or angle
1st Quarter
Prove that lines are parallel
Find the sum of the
measures of the angles of a
triangle.
Suggested Instructional Days: 8
Vocabulary
Resources
Page 2
1-2 Points, Lines, and
Angle bisector
Planes
Congruent segments
Constructions
1-3 Measuring Segments
Linear pair
1-4 Measuring Angles
Perpendicular bisector 1-5 Exploring Angle
Postulate
Pairs
Segment bisector
2-2 & 2-3 Conditionals,
Supplementary angles Bi-conditionals, and
Vertical angles
Definitions
2-6 Proving Angles
Page 80
Congruent
Biconditional
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
2013-2014
1 day for
assessme
nt
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: Right Triangles and Trigonometry
Right
6 (8) days G.CO.9Prove theorems about lines and
Triangles and
angles. Theorems include: vertical angles
for
Trigonometry
instruction are congruent; when a transversal crosses
and review parallel lines, alternate interior angles are
congruent and corresponding angles are
congruent; points on a perpendicular
1 day for
assessment 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.
G.SRT.6 Understand that by similarity, side
ratios in right triangles are properties of the
angles in the triangle, leading to definitions
of trigonometric ratios for acute angles.
G.SRT.7 Explain and use the relationship
between the sine and cosine of
complementary angles.
G.SRT.8 Use trigonometric ratios and the
Pythagorean Theorem to solve right triangles
★
in applied problems.
(+)G.SRT.10 Prove the Laws of Sines and
Cosines and use them to solve problems.
(+)G.SRT.11 Understand and apply the Law
Corresponding angles
Exterior angles of
polygons
Parallel lines
Perpendicular lines
Same-side interior
angles
Skew lines
Transversal
1st Quarter
Find the length of the side
and measure the angles in a
right triangle.
Determine the usage of
trigonometric ratios in right
triangles.
3-4 Parallel and
Perpendicular Lines
*possibly combine with
3-5
3-5 Parallel Lines and
Triangles
Suggested Instructional Days: 7-9 days
Page 282
5-4 Medians and
Altitude
Altitudes
Equidistant
8-1 Pythagorean
Median
Theorem
Page 488
Angle of
depression
Angle of elevation
Cosine
Law of cosines
Law of sines
Pythagorean triple
Sine
Tangent
8-2 Special Right
Triangles
8-3 Right Triangle
Trigonometry
8-4 Angles of Elevation
and Depression
8-5 Law of Sines
*Honors, Regular do if time
8-6 Law of Cosines
*Honors, Regular do if time
Geometry Quarter 1 p. 2
Geometry Quarter 1 Curriculum Map
2013-2014
of Sines and the Law of Cosines to find
unknown measurements in right and nonright triangles (e.g., surveying problems,
resultant forces).
Quarter 1 Assessment
Additional Resources:
Right Triangles (Hopewell Geometry): http://map.mathshell.org/materials/tasks.php?taskid=258&subpage=apprentice
Proofs of Pythagorean Theorem: http://map.mathshell.org/materials/lessons.php?taskid=419&subpage=concept
Trig Video Resources: http://app.discoveryeducation.com/player/?assetGuid=cc670dc6-­‐122b-­‐4320-­‐921c-­‐
cceda37dae7c&fromMyDe=0&isPrinterFriendly=0&provider=&isLessonFromHealth=0&productcode=US&isAssigned=false&includeHeader=YES&homeworkGuid
= Trig Video Resources: http://app.discoveryeducation.com/player/?assetGuid=f17142cf-­‐a29a-­‐4a96-­‐a366-­‐
3cdafcedf832&fromMyDe=0&isPrinterFriendly=0&provider=&isLessonFromHealth=0&productcode=US&isAssigned=false&includeHeader=YES&homeworkGuid
= Special Right Triangle Video Resource: http://app.discoveryeducation.com/player/?assetGuid=107e0043-­‐f490-­‐4ef4-­‐9ddf-­‐
ff4e81cc4dda&fromMyDe=0&isPrinterFriendly=0&provider=&isLessonFromHealth=0&productcode=US&isAssigned=false&includeHeader=YES&homeworkGuid
=
NOTES/REFLECTIONS:
Geometry Quarter 1 p. 3