As mentioned above, Esperanto has no grammatical gender, but has number and case. We can see two types of agreement.
1) Agreement inside of a nominal phrase. – All participants of a nominal phrase have to agree in case and number.
Miaj belaj hundoj kuras en la ĝardeno. – My nice dogs are running in the garden.
Mi havas grandan domon. – I have a big house.
Mi havas grandajn domojn. – I have big houses.
2) Agreement with subject. – Simple form of the verb is the same for all persons, but predicative adjective has to agree with subject (including participle in complex verb tenses):
La studentoj estas diligentaj. – The students are diligent.
Ni estas kaptantaj. – We are catching.