MA19.GDA.31

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

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.

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

Aligned Learning Resources

Can You Solve This Pier Puzzle? | Physics Girl

Combining Like Terms (Part 3)

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