Geometry

Skills covered

• G1 · Aerodynamics & NavigationAngles, Parallel Lines & PolygonsFin Geometry
• G2 · Aerodynamics & NavigationTriangles: Pythagorean, Special Right & SimilarTruss Bracing
• G3 · Aerodynamics & NavigationCircles: Arcs, Sectors & Inscribed AnglesFairing Curvature
• G4 · Aerodynamics & NavigationArea & Volume: Composite, 3D & ScalePayload Bay
• G5 · Aerodynamics & NavigationCoordinate Geometry & ConicsOrbital Plotter

Lessons

1. 6.1Angles, Lines & PolygonsChase vertical, supplementary, parallel-line, triangle, and polygon angles.30 min 
2. 6.2Right TrianglesUse the Pythagorean theorem and special right-triangle ratios efficiently.30 min 
3. 6.3Similarity & Triangle ReasoningSet corresponding sides in order and combine similarity with area and perimeter.30 min 
4. 6.4Circles, Arcs & SectorsConnect radius, circumference, central angles, inscribed angles, arcs, and sectors.30 min 
5. 6.5Composite Area & PerimeterBreak unfamiliar regions into familiar pieces and track boundaries carefully.30 min 
6. 6.6Volume, Surface Area & ScaleSolve prisms, cylinders, cones, spheres, displacement, and scale-factor problems.30 min 
7. 6.7Coordinate GeometryUse distance, midpoint, slope, and transformations on the coordinate plane.30 min 
8. 6.8Circle Equations & ConicsRead centers, radii, vertices, and axes from circle, ellipse, and hyperbola forms.30 min 

Challenge sets

Optional, hardest-level questions at the end of each lesson. This is where a 36 is won.

• Lesson 6.1 · 4 questionsAngles, Lines & Polygons
• Lesson 6.2 · 4 questionsRight Triangles
• Lesson 6.3 · 4 questionsSimilarity & Triangle Reasoning
• Lesson 6.4 · 4 questionsCircles, Arcs & Sectors
• Lesson 6.5 · 4 questionsComposite Area & Perimeter
• Lesson 6.6 · 4 questionsVolume, Surface Area & Scale
• Lesson 6.7 · 4 questionsCoordinate Geometry
• Lesson 6.8 · 4 questionsCircle Equations & Conics