MA19.GDA.31
Justify whether conjectures are true or false in order to prove theorems and then apply those theorems in solving problems, communicating proofs in a variety of ways, including flow chart, two-column, and paragraph formats.
Justify whether conjectures are true or false in order to prove theorems and then apply those theorems in solving problems, communicating proofs in a variety of ways, including flow chart, two-column, and paragraph formats.
Unpacked Content
UP:MA19.GDA.31
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
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.
