By the end of grade twelve, students will:
C.12.1 Identify, describe, and analyze properties of figures, relationships among figures, and relationships among their parts by
- constructing physical models
- drawing precisely with paper-and-pencil, hand calculators, and computer software
- using appropriate transformations* (e.g., translations, rotations, reflections, enlargements)
- using reason and logic
C.12.2 Use geometric models* to solve mathematical and real-world problems
C.12.3 Present convincing arguments by means of demonstration, informal proof, counter-examples, or any other logical means to show the truth of
- statements (e.g., these two triangles are not congruent)
- generalizations (e.g., the Pythagorean* theorem holds for all right triangles)
C.12.4 Use the two-dimensional rectangular coordinate system* and algebraic procedures to describe and characterize geometric properties and relationships such as slope*, intercepts*, parallelism, and perpendicularity
C.12.5 Identify and demonstrate an understanding of the three ratios used in right-triangle trigonometry (sine, cosine, tangent)
*See Glossary.