The real beauty of the periodic table is that an element's position lets you predict its properties. As you move across a period or down a group, properties change in regular, repeating patterns called periodic trends. Four of them matter most at this level.
Valency
Valency is the combining capacity of an element, decided by the number of valence electrons. Across a period, valency first increases from 1 to 4 and then decreases to 0 (for the noble gas). For period 3: Na = 1, Mg = 2, Al = 3, Si = 4, P = 3, S = 2, Cl = 1, Ar = 0. Down a group, valency stays the same because the number of valence electrons does not change.
Atomic size (atomic radius)
Atomic size is the distance from the centre of the nucleus to the outermost shell.
- Across a period (left to right): atomic size decreases. The number of shells stays the same, but the nuclear charge (number of protons) increases, pulling the electrons in more strongly. So the atom shrinks.
- Down a group: atomic size increases. A new shell is added at each step, so the outermost electrons are farther from the nucleus, despite the rising nuclear charge.
Metallic and non-metallic character
Metals tend to lose electrons (they are electropositive); non-metals tend to gain electrons (they are electronegative).
- Across a period: metallic character decreases and non-metallic character increases. As atomic size falls and nuclear pull rises, atoms hold their electrons more tightly, so losing electrons becomes harder and gaining them becomes easier.
- Down a group: metallic character increases and non-metallic character decreases. As atomic size grows, the outer electrons are loosely held and easily lost, so elements become more metallic.
This is why metals lie on the left of the table, non-metals on the right, and a staircase of metalloids (such as silicon and germanium) runs between them.
Why the trends exist — the two competing factors
Almost every trend is a tug-of-war between two effects: the increasing nuclear charge (which pulls electrons in) and the addition of new shells (which pushes the outer electrons out). Across a period, nuclear charge wins because no new shell is added. Down a group, the new shells win because the extra distance and shielding outweigh the rising charge.