GEO.5 Measurement and Solid Geometry

Beginning Lesson

Aws4 request&x amz signedheaders=host&x amz signature=ba426d76f1bc5eb3fedab9db1575243aaf32a53e892f8073e6fe71f47aa069ad

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

Aws4 request&x amz signedheaders=host&x amz signature=742ff69c29cf15dd773129bdcc7ba6fa5d6dc05f6db31b675cfe909edca0192d

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

Aws4 request&x amz signedheaders=host&x amz signature=a5fb9ea9241160ad973cb870bf4c8006319926cf5ab4ca2e65afc9347fe705b7

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)