HSII.6 Measurement and Solid Geometry (G5)
Beginning Lesson
Pony Up
How do you increase the horsepower of a car engine? Students calculate the volumes of different car cylinders, and explore ways to make engine even more powerful by changing the dimensions of an engine's internal geometry.
Topic:
Geometry (G)
Middle Lesson
Cheese That Goes Crunch
Which is better: crunchy or puffy Cheetos? Students calculate the surface area : volume ratio for each snack to determine which one tastes cheesier.
Topic:
Geometric Measurement and Dimension (GMD), Geometry (G), Modeling with Geometry (MG)
End Lesson
Canalysis
What's the ideal size for a soda can? Students use the formulas for surface area and volume of a cylinder to design different cans, calculate their cost of production, and find the can that uses the least material to contain a standard 12 ounces of liquid.
Topic:
Creating Equations (CED), Interpreting Functions (IF), Modeling with Geometry (MG)