Determine the number of protons, neutrons, and electrons in an atom or ion, and explain what makes isotopes of the same element different.
Every atom is built from three subatomic particles. Protons carry a positive charge and sit in the nucleus; the number of protons (the atomic number) defines which element an atom is -- change the proton count and you have changed the element entirely. Neutrons carry no charge and also sit in the nucleus, adding mass and helping hold the nucleus together. Electrons carry a negative charge and exist in the space around the nucleus; a neutral atom has exactly as many electrons as protons, since the charges must balance to zero.
The mass number of an atom is the total count of protons plus neutrons (electrons are so light they barely add to the mass). Subtracting: neutrons = mass number - atomic number. Isotopes are atoms of the same element (same number of protons) with different numbers of neutrons -- carbon-12 and carbon-14 are both carbon (6 protons each), but carbon-14 carries 8 neutrons instead of 6, making it heavier and, in this case, radioactive.
An ion forms when an atom gains or loses electrons, which unbalances the charge. Losing electrons leaves more protons than electrons, giving a positive ion (cation); gaining electrons leaves more electrons than protons, giving a negative ion (anion). The proton count -- and therefore the element -- never changes when an ion forms; only the electron count does.
Mastery looks like: They correctly find protons, neutrons, and electrons for any given atom, isotope, or ion using atomic number and mass number.
Common stumbles: Confusing atomic number with mass number; assuming ions change the number of protons instead of electrons.