Download Unit 1 Lines and Angles ( 15 DAYS, including reviews , quizz

GEOMETRY PACING GUIDE
FIRST TERM: (SEPT. 4 – NOV. 26, 2014 )
Unit 1
•
Lines and Angles ( 15 DAYS, including reviews , quizzes and unit test)
•
•
•
Basic geometric terms and notations associated with geometric objects (such as
point, segment, line ray, plane, angle, etc.)
Distance and midpoints of line segments
Angle pairs and their relationships
Parallel and perpendicular lines
Unit 2
Logic & Constructions (15 DAYS, including reviews, quizzes , and unit test )
•
•
•
•
•
Unit 3
Construct an angle congruent to a given angle and an bisector of a given angle, using
a straightedge and compass, and justify the construction.
Construct a line segment congruent to a given line segment and the perpendicular
bisector of a given segment, using a straightedge and compass, and justify the
construction.
Construct an equilateral triangle.
Statements , their negations, compound statements (conjunction, disjunction,
conditional, and biconditional) and their truth values
Conditionals, their inverses, converses, and contrapositives, and logical equivalence
statements
Triangle Properties & Proofs- Triangle Congruence (25 DAYS including
reviews, quizzes , and unit test )
• Interior and exterior angles of triangles
• Side-angle relationships
• Median, altitude and angle bisectors of triangles
• Congruent triangles
• Prove theorems about triangles.
Theorems include:
1. Base angles of an isosceles triangle congruent.
2. Points on a perpendicular bisector of a line segment are exactly
those equidistant
3. from the segment’s endpoints
• Prove triangle congruence using SAS, SSS, ASA, AAS, H-L, or CPCTC
SECOND TERM: (DEC. 1 –MARCH 11, 2015)
Unit 4
•
•
•
Unit 5
•
•
•
•
•
Transformations (15 DAYS including reviews, quizzes , and unit test)
Properties of transformations (translation, reflection, rotation, and dilation)
Given a rectangle, parallelogram, trapezoid, or regular polygon, know the
transformations that carry it onto itself.
Composition of transformations
Similar Triangles (20 DAYS, including reviews, quizzes , and unit test)
Use similarity in terms of similarity transformations
Mean proportional in right triangles: Altitude and leg rule
Mid-segments
Proving similar triangles
Use congruence and similarity criteria for triangles to solve problems and to
prove relationships in geometric figures.
Unit 6 Solid Figures (15 DAYS, including reviews, quizzes , and unit test)
•
•
•
Relationships between two-dimensional and three-dimensional objects
Theorems relating lines and planes
Volumes of prisms, pyramids, spheres, cones, and cylinders.
THIRD TERM: (MARCH 12 – JUNE 15,2015)
Unit 7 Polygon Properties & Coordinate Geometry
(20 DAYS, including reviews,
quizzes , and unit test)
•
•
•
•
•
Theorems about the sum of the measures of the interior and exterior angles of
polygons.
Proprieties of parallel and perpendicular lines using their equations
Theorems about triangles and quadrilaterals involving the sides, angles,
diagonals.
Properties of triangles and quadrilaterals in the coordinate plane, using the
distance, midpoint, and slope formulas.
algebraic proofs to justify the types of quadrilaterals based on their properties.
•
•
Unit 8
•
•
Use coordinate proofs to justify the types of quadrilaterals based on their
properties.
Explore properties of circles in the coordinate plane-equations of circles
Circle Properties (15 DAYS, including reviews, quizzes , and unit test)
Angles associated with Circle- central, inscribed, angle formed by(a) tangent and
chord,(b) 2 chords, (c) 2 tangents, (d)tangent and a secant , and (e) 2 secants.
Segments associated with circles-intersecting chords, segments formed by 2 secants,
secant and a tangent, and 2 tangent
Review for finals/ Regents Prep (20-25 days)
• First term topics
• Regents Exam prep