Geometry Unit 1: Basics of Geometry

Standards:

  1. G-CO 1: Experiment with transformations in the plane.
  2. 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 around a circular arc.
  3. G-CO 9,10: Prove geometric theorems.
  4. Prove theorems about lines and angles.
  5. Prove theorems about triangles.
  6. G-CO 12,13: Make geometric constructions.
  7. Make formal geometric constructions with a variety of tools and methods (compass, and straightedge)—copying a segment, copying an angle, bisecting a segment, bisecting an angle, constructing perpendicular lines, etc.
  8. Construct an equilateral triangle, square, and a regular hexagon inscribed in a circle.
  9. G-MG 1: Apply geometric concepts in modeling situations.
  10. Use geometric shapes, their measures, and their properties to describe objects.

Test Standards:

  1. Differentiate between undefined terms (point, line, and plane) and defined terms (collinear, non-collinear, coplanar, non-coplanar, segment, ray, intersection, etc.).
  2. Measure and convert distances of various figures, including the distance formula.
  3. Identify and measure various types of angles.
  4. Copy and bisect segments and angles (using compass and protractor).
  5. Differentiate between complementary, supplementary, and vertical angles.
  6. Classify triangles and polygons according to their angle measures and side lengths.

Test Standards:

  1. Differentiate between undefined terms (point, line, and plane) and defined terms (collinear, non-collinear, coplanar, non-coplanar, segment, ray, intersection, etc.).
  2. Measure and convert distances of various figures, including the distance formula.
  3. Identify and measure various types of angles.
  4. Copy and bisect segments and angles (using compass and protractor).
  5. Differentiate between complementary, supplementary, and vertical angles.
  6. Classify triangles and polygons according to their angle measures and side lengths.

Test Standards:

  1. Differentiate between undefined terms (point, line, and plane) and defined terms (collinear, non-collinear, coplanar, non-coplanar, segment, ray, intersection, etc.).
  2. Measure and convert distances of various figures, including the distance formula.
  3. Identify and measure various types of angles.
  4. Copy and bisect segments and angles (using compass and protractor).
  5. Differentiate between complementary, supplementary, and vertical angles.
  6. Classify triangles and polygons according to their angle measures and side lengths.

Test Standards:

  1. Differentiate between undefined terms (point, line, and plane) and defined terms (collinear, non-collinear, coplanar, non-coplanar, segment, ray, intersection, etc.).
  2. Measure and convert distances of various figures, including the distance formula.
  3. Identify and measure various types of angles.
  4. Copy and bisect segments and angles (using compass and protractor).
  5. Differentiate between complementary, supplementary, and vertical angles.
  6. Classify triangles and polygons according to their angle measures and side lengths.

Test Standards:

  1. Differentiate between undefined terms (point, line, and plane) and defined terms (collinear, non-collinear, coplanar, non-coplanar, segment, ray, intersection, etc.).
  2. Measure and convert distances of various figures, including the distance formula.
  3. Identify and measure various types of angles.
  4. Copy and bisect segments and angles (using compass and protractor).
  5. Differentiate between complementary, supplementary, and vertical angles.
  6. Classify triangles and polygons according to their angle measures and side lengths.