Curriculum placement
Geometry. This describes the skill, not a learner estimate.
Modeling with geometry
Choose geometric models for design density and measurement problems
Problem types
- Area of a regular polygon
- Surface area of cones and composite solids
- Choose and use a geometric model
Builds on
- Volume of cylinders, cones, and spheres
- Area and volume of composite figures
- Arc length and sector area · Useful idea
Sector and arc measures model curved shapes such as a pie slice or a curved fence.
- Sine and cosine of complementary angles · Useful idea
Complementary angle relations let one trig ratio find a height or distance in a modeling problem.
- Why the circle and solid formulas hold · Useful idea
Justified area and volume formulas are used to model objects, such as a regular polygon whose area splits into triangles.
- Naming the quantities in a model · Useful idea
A geometric model of a situation needs defined quantities such as length, area and their units.
- Area from two sides and the included angle · Useful idea
The area of a regular polygon is found by adding the areas of congruent triangles with sine area.
Leads to
- Modeling density
- Designs that meet geometric constraints
- Quadratic, rational, and exponential constraints · Extend the idea
Choosing a geometric model of a situation leads to an equation, often quadratic when area is involved.
Related skills
- Volumes of cylinders, cones, pyramids, spheres · Shared foundations
Open the interactive map to explore lessons and skill connections.