What are the ways of giving question about direct and inverse proportion and how to answer it?
A direct proportion occurs when you have a direct relationship between one component and another, where an inverse proportion occurs when one component has an opposite effect on the other. For example, let's use the equation for density:
D= m D= density m= mass v = volume
In this equation, you can tell that density has a direct proportion with mass, because if you increase the number for the mass (m) in the equation, you also increase the density and vice versa.
In this equation, you can also see that volume has an inverse proportion with density, because if you increase the number for the volume (v) in the equation, you will actually decrease your density value and vice versa.
This example shows that direct proportions have direct effects on the components involved (increase, increase OR decrease, decrease) and inverse proportions have opposite effects (increase, decrease OR decrease, increase)
You can use a variety of simple science equations as examples and have students determine how each component effects the other either directly or inversely.