Unit 10 · Weeks 28, 29

Area, Measurement & Geometric Probability

How do decomposition, scale, precision, and probability support responsible measurement and optimization?

Lesson sequence

7 visual, printable lessons

Decompose figures, manage units and precision, and use area ratios to model probability and optimize design constraints.

Use apothem, perimeter, central angle, and decomposition into congruent triangles.

Find triangle area from three side lengths and compare with coordinate or base-height methods.

Distinguish linear, area, and volume scale factors.

Report measurement, absolute error, relative error, and appropriate significant figures.

Use length or area ratios under a uniform-selection assumption.

Compare feasible designs under fixed perimeter or area constraints.

Connected laboratories

Draft, measure, dimension, layer, analyze, print, and export precise geometric 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.