Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Independent Variable (IV): The factor that is intentionally changed or manipulated by the scientist in an experiment. It is the 'cause' in a cause-and-effect relationship and is typically plotted on the -axis.
Dependent Variable (DV): The factor that is observed, measured, or recorded as a result of the changes made to the independent variable. It is the 'effect' and is typically plotted on the -axis.
Controlled Variables (CV): These are the factors that are kept constant throughout the experiment to ensure a fair test. If these are not controlled, they may influence the results, making the experiment invalid.
Fair Test: A scientific investigation where only the independent variable is changed, and all other variables are kept the same to ensure that the is only affected by the .
Hypothesis Formulation: A scientific prediction often expressed in the format: 'If the is [increased/decreased], then the will [increase/decrease/change] because...'
📐Formulae
where is the Dependent Variable and is the Independent Variable.
(A change in the Independent Variable leads to a change in the Dependent Variable).
💡Examples
Problem 1:
A student wants to investigate how the temperature of water affects the time it takes for of sugar to dissolve. Identify the variables.
Solution:
Independent Variable: Temperature of the ; Dependent Variable: Time taken for sugar to dissolve (seconds); Controlled Variables: Mass of sugar (), volume of , and the stirring speed.
Explanation:
The scientist changes the temperature (IV) to see how it impacts the speed of dissolving (DV), while keeping everything else the same (CV) to ensure the results are reliable.
Problem 2:
An experiment measures the volume of gas produced by a plant when placed at different distances from a light source.
Solution:
Independent Variable: Distance from the light source (); Dependent Variable: Volume of produced (); Controlled Variables: Type of plant, concentration of in the water, and the duration of the experiment.
Explanation:
Distance is the factor being manipulated to observe the change in oxygen production, which indicates the rate of photosynthesis.
Problem 3:
Identify the variables in a study testing if the mass of a ball affects the distance it travels when rolled down a ramp.
Solution:
Independent Variable: Mass of the ball (); Dependent Variable: Distance traveled (); Controlled Variables: Height of the ramp, angle of the ramp, and the surface material of the floor.
Explanation:
To isolate the effect of mass, the physical properties of the ramp and floor must remain identical for every trial.