Foundation
Vocabulary, marked diagrams, guided constructions, and reduced-complexity practice.
Open FoundationUnit 05 · Weeks 11, 12, 13
Similarity, Dilations & Proportional Reasoning
How do scale and proportional structure connect figures, maps, models, and indirect measurement?
Lesson sequence
7 visual, printable lessons
Lesson 01
Dilations from a Center
Map coordinates from a center and interpret positive, fractional, and negative scale factors.
Lesson 02Similarity Through Transformations
Use dilations and proportional relationships to compare figures, construct scale models, and measure inaccessible quantities.
Lesson 03AA Similarity and Triangle Proportions
Use dilations and proportional relationships to compare figures, construct scale models, and measure inaccessible quantities.
Lesson 04SSS and SAS Similarity
Use dilations and proportional relationships to compare figures, construct scale models, and measure inaccessible quantities.
Lesson 05Side-Splitter and Proportional Segments
Use dilations and proportional relationships to compare figures, construct scale models, and measure inaccessible quantities.
Lesson 06Scale Drawings, Maps & Models
Convert between drawing and actual dimensions while preserving units and documenting the chosen scale.
Lesson 07Indirect Measurement, Shadows & Mirrors
Use similar triangles in shadows, mirrors, and line-of-sight situations.
Core
Complete grade-level reasoning, calculation, proof, and printable evidence.
Open CoreExtended
Generalization, proof revision, optimization, design, and transfer.
Open Extended