Answer:
Nuestra profesora es muy simpática. Tiene mucha paciencia con nosotros y nos da mucho tiempo libre.
Translation:
<em>Our teacher is very nice. She has a lot of patience with us and gives us lots of free time.</em>
Explanation:
In the sentence given, the subject is <em>nuestra profesora (our teacher)</em>. <em>Nosotros (us)</em> is the direct object.
<em>(</em><em><u>She</u></em><em> gives </em><em><u>us</u></em><em> lots of free time.)</em>
The direct object denotes the person or thing that receives the action of a transitive verb, which often uses the proposition "a" when the verb is referring to a person or an animal.
Now, the sentence and the exercise is meant to showcase the <u>direct object pronoun</u>. <u>Direct object pronouns are used to replace the direct object</u>.
In this sentence, <em>nosotros</em> is the direct object, while <em>nos</em> is the direct object pronoun. If the pronoun hadn't been used, the sentence would have read: "Tiene mucha paciencia con nosotros y nos da mucho tiempo libre a nosotros.", which would have been redundant.