Syllabus

Subject

Geometry

Nine Week

1st Nine Weeks

Standard

G.CO.A.1, 3, 4, 5 Experiment with transformations in the plane.

G.CO.B.6, 7, 8 Understand congruence in terms of rigid motions

G.CO.D.12 Make geometric constructions.

G.MG.A.1 Apply geometric concepts in modeling situations.

G.CO.C.9, 10, 11 Prove geometric theorems.

G.GPE.B.5 Use coordinates to prove simple geometric theorems algebraically.

Objectives

-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 along a line, and distance around a circular arc

- Make formal geometric constructions with a variety of tools and methods(compass and straightedge, string, reflective devices, paper folding, dynamic geometry software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.

-Use geometric shapes, their measures, and their properties to describe

objects (e.g. modeling a tree trunk or a human torso as a cylinder).

-Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

- Prove geometric 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.

-Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or

perpendicular to a given line that passes through a given point).

 

Topics

-segment length and midpoints

-angle measures and angle bisectors

-representing and describing transformations

-reasoning and proof

-translations, reflections, rotations

-investigating symmetry

-sequences of transformations

-proving figures are congruent using rigid motions

-corresponding parts of congruent figures are congruent

-angles formed by intersecting lines

-transversals and parallel lines

-proving lines are parallel

-perpendicular line

-equations of parallel and perpendicular lines

- exploring what makes triangles congruent

- triangle congruence (ASA, SAS, SSS)

Major

Assignment/s

Pre-assessments; ongoing module assessments to measure understanding; unit assessment

Instructional

Materials

Computer; manipulatives; Promethean Board, Clickers, protractor; compass; dry erase boards; Calculator

Field Trip/s

None

 


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