Unit 01 · Weeks 1, 2

Foundations, Constructions & Geometric Reasoning

How do precise definitions, constructions, logic, and proof establish trustworthy geometric conclusions?

Lesson sequence

6 visual, printable lessons

Use definitions, measurements, constructions, and logical statements to establish a precise geometric argument.

Use definitions, measurements, constructions, and logical statements to establish a precise geometric argument.

Partition a segment numerically and on the coordinate plane; distinguish distance from directed change.

Construct congruent segments and angles, perpendicular bisectors, angle bisectors, and perpendicular or parallel lines using classical tools.

Write conditional, converse, inverse, and contrapositive statements; evaluate truth and produce counterexamples.

Build a proof from givens through definitions, postulates, and theorems while comparing proof formats.

Vocabulary, marked diagrams, guided constructions, and reduced-complexity practice.

Complete grade-level reasoning, calculation, proof, and printable evidence.

Generalization, proof revision, optimization, design, and transfer.