MA19.GDA.30

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.30

Develop and use precise definitions of figures such as angle, circle, perpendicular lines, parallel lines, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Unpacked Content

Knowledge

Students know:
  • Requirements for a mathematical proof.
  • Techniques for presenting a proof of geometric theorems.

Skills

Students are able to:
  • Communicate logical reasoning in a systematic way to present a mathematical proof of geometric theorems.
  • Generate a conjecture about geometric relationships that calls for proof.

Understanding

Students understand that:
  • Proof is necessary to establish that a conjecture about a relationship in mathematics is always true, and may also provide insight into the mathematics being addressed.

Vocabulary

  • Same side interior angle
  • Consecutive interior angle
  • Vertical angles
  • Linear pair
  • Adjacent angles
  • Complementary angles
  • Supplementary angles
  • Perpendicular bisector
  • Equidistant
  • Theorem Proof
  • Prove
  • Transversal
  • Alternate interior angles
  • Corresponding angles
  • Interior angles of a triangle
  • Isosceles triangles
  • Equilateral triangles
  • Base angles
  • Median
  • Exterior angles
  • Remote interior angles
  • Centroid
  • Parallelograms
  • Diagonals
  • Bisect
ALSDE LOGO