Subject: Geometry
Subject: Geometry
Grade Level: High School
Unit Title: Introduction to Geometry |Timeframe Needed for Completion: 16 days
Grading Period: 1st 9 Weeks | |
|Big Idea/Theme: Points, lines and planes. |
| |
|Understandings: |
|Units of geometry, Angle and segment addition, Angle and segment bisectors, Parallel Lines, Basic constructions |
|Essential Questions: |Curriculum Goals/Objectives |
|How do you find the measure of an angle or segment using a protractor or a ruler? |G.CO.1 Know precise definitions of angle, circle, perpendicular |
|How can you find the measure of an angle without using a protractor? |line, parallel line, and line segment, based on the |
|How can you find the measure of a segment without using a ruler? |undefined notions of point, line, distance along a line, and |
|Where do you see points, lines and planes in the real world? |distance around a circular arc. |
| |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 angels 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. |
| |G.CO.12 Make formal geometric constructions with a variety of |
| |tools and methods (compass and straightedge, string, |
| |reflective devices, paper folding, dynamic geometric |
| |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. |
| |G.CO.13 Construct an equilateral triangle, a square, and a regular |
| |hexagon inscribed in a circle. |
|Essential Skills/Vocabulary: |Assessment Tasks: |
|Midpoint |Find lengths of segments |
|Angle bisector |Find angle measures |
|Segment bisector |Use properties of parallel lines to fine angle measures and make conclusions |
|Colinear | |
|Coplanar | |
|Congruent | |
|Linear pair | |
|Vertical Angles | |
|Complementary Angles | |
|Supplementary Angles | |
|Alternate Interior Angles | |
|Same Side Interior Angles | |
|Corresponding Angles | |
|Regular Polygon | |
|Exterior Angle of a Polygon | |
|Remote Interior Angles | |
|Materials Suggestions: |
|Prentice Hall Geometry |
|McDougal Littell Geometry |
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