Class:
As a wizard, you gain the following class features.
Hit Points
Hit Dice: 1d6 per wizard level
Hit Points at 1st Level: 6 + your Constitution modifier
Hit Points at Higher Levels: 1d6 (or 4) + your Constitution modifier per wizard level after 1st
Proficiencies
Armor: None
Weapons: Daggers, darts, slings, quarterstaffs, light crossbows
Tools: None
Saving Throws: Intelligence, Wisdom
Skills: Choose two from Arcana, History, Insight, Investigation, Medicine, and Religion
Equipment
You start with the following equipment, in addition to the equipment granted by your background:
a dagger
a Staff as arcane focus
an explorer's pack
A spellbook
Spellcasting Ability
Intelligence is your spellcasting ability for your wizard spells, since you learn your spells through dedicated study and memorization. You use your Intelligence whenever a spell refers to your spellcasting ability. In addition, you use your Intelligence modifier when setting the saving throw DC for a wizard spell you cast and when making an attack roll with one.
Spell save DC = 8 + your proficiency bonus + your Intelligence modifier: 8 + 2 + 4 = +14
Spell attack modifier = your proficiency bonus + your Intelligence modifier 2 + 4 = +6
Ritual Casting
You can cast a wizard spell as a ritual if that spell has the ritual tag and you have the spell in your spellbook. You don't need to have the spell prepared.
Spellcasting Focus
You can use an arcane focus as a spellcasting focus for your wizard spells.
Learning Spells of 1st Level and Higher
Each time you gain a wizard level, you can add two wizard spells of your choice to your spellbook. Each of these spells must be of a level for which you have spell slots, as shown on the Wizard table. On your adventures, you might find other spells that you can add to your spellbook.
Arcane Recovery
You have learned to regain some of your magical energy by studying your spellbook. Once per day when you finish a short rest, you can choose expended spell slots to recover. The spell slots can have a combined level that is equal to or less than half your wizard level (rounded up), and none of the slots can be 6th level or higher.
For example, if you're a 4th-level wizard, you can recover up to two levels worth of spell slots. You can recover either a 2nd-level spell slot or two 1st-level spell slots.