Unit 08 · Weeks 22, 23, 24

Circles, Arcs & Tangency

How do radius, chord, arc, angle, tangent, and secant relationships govern every circle?

Lesson sequence

8 visual, printable lessons

Connect radii, chords, arcs, angles, tangents, secants, sectors, and coordinate equations in a unified circle model.

Connect central-angle measure, arc measure, arc length, and circumference.

Use intercepted arcs to determine inscribed angles and angles formed by chords.

Connect radii, chords, arcs, angles, tangents, secants, sectors, and coordinate equations in a unified circle model.

Prove that a tangent is perpendicular to the radius at the point of tangency and use equal tangent segments.

Apply chord-chord, secant-secant, and tangent-secant products with correct inside/outside structures.

Connect radii, chords, arcs, angles, tangents, secants, sectors, and coordinate equations in a unified circle model.

Identify center and radius from standard form and build an equation from geometric information.

Connected laboratories

Investigate radial repetition, transformations, symmetry, circles, regular polygons, and exportable vector designs.

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.