OBJECTIVE - G.MG.A.2
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).
INTERPRETATION OF OBJECTIVE - G.MG.A.2
This objective connects the concept of density to geometric measurement, this applies to both area and volume. Population density is a specific example of this relationship. |
VIDEO IN
DEVELOPMENT |
SKILLS
(1) The student will be able to calculate density (D), mass (m) or volume (V) using the formula, D = m/V.
(2) The student will be able to use area relationships and formulas to solve population density problems.
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THE BIG IDEA
The purpose of this is to connect shape, form, and size that students are familiar with in the geometry class to the world around them. They are to use their geometric knowledge to gain real world knowledge.
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TRAPS & PITFALLS
The examples provide in the objective certainly help us to focus on certain aspects of density but like with all modelling standards it is hard to know where to best put our time and effort. Density and its connection to volume and population density and its connect to area are exactly what this standard is really getting at so time spent here will be of great benefit. |
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PAST CONNECTIONS
Students come to geometry with some basic knowledge of perimeter and area. While in geometry they will learn more about volume. These concepts will be critical for obtaining information about density.
FUTURE CONNECTIONS
Estimating size, shape and form is important in dealing with real world problems that don’t come in easily packaged problems. The skills learned here will give students a chance to attack harder problems.
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