Predict and explain trends in atomic radius and ionic radius across a period and down a group.
Atomic radius is a rough measure of the size of an atom, and it changes in two predictable directions on the periodic table. Moving DOWN a group, atomic radius increases, because each row down adds a whole new occupied energy level farther from the nucleus -- more shells simply take up more space. Moving ACROSS a period (left to right), atomic radius decreases, which surprises people at first: even though more electrons are being added, they are all going into the SAME energy level, while the number of protons (and therefore the positive pull on those electrons) keeps increasing, pulling the whole electron cloud in tighter.
Ionic radius follows related but distinct rules. A cation (positive ion, formed by losing electrons) is always smaller than the neutral atom it came from -- losing electrons often removes an entire outer energy level, and the remaining electrons feel a stronger relative pull from the unchanged proton count. An anion (negative ion, formed by gaining electrons) is always larger than the neutral atom it came from -- the extra electrons increase repulsion within the same energy level, pushing the whole electron cloud outward.
Mastery looks like: They correctly predict and explain relative atomic and ionic radius for pairs of elements or ions using group and period trends.
Common stumbles: Assuming more electrons always means a larger atom (ignoring that period-trend electrons stay in the same energy level while protons increase); mixing up which direction cations and anions shift relative to their parent atom.