What are your strategies for building trust with students who seem withdrawn or reluctant to engage?

Each student is different. Here are some ideas that I have used.
1. Go back to your beginning of the year student surveys. Find an interest of this student and build it into a lesson. Mention their name as you talk about this interest.
2. Warn this student quietly that you are going to ask them to answer the next question so they are prepared.
3. Give the student a note with a positive message or email the parent with a positive message.
4. Ask the student to help you do something to prepare for a lesson. Draw the picture. Set up the equipment. Engage the student in a conversation while you do this.

What other strategies have you tried?

How do you welcome new students to your classroom when they arrive 2-6 months after the school year has started?

Working in partners/groups vs. working independently:
One of the best ideas I decided to try out a couple of years ago was creating an anchor chart with students about what each of these looks like and sounds like. (I tried to find a picture of my chart I made my last year as a classroom teacher but couldn't find it!) Students often know what these should look and sound like but having the discussion with them and having them come up with the expectations is so powerful. I've had students have very real and vulnerable conversations that during independent work, the student needs quiet to really do their best work. The way my classes have changed after that vulnerability was drastic. Students (at least elementary age) sometimes believe that teachers are just asking for silence for silence sake; when really it is to give students an opportunity to show their best work. But when it comes from a fellow student, the impact is greater. How do you set up students to be successful in small groups and independently?

Are you able to have live classroom pets? What are some good suggestions for classroom pets?

We are not able to have any pets with fur due to allergies, other than our school therapy dog. Several of our teachers have fish or turtles.

How do you start off science in your classroom? Do you have an introductory lesson you can share?
I like to use the children's book titled, "What is Science?" as it shows children that science can be lots of things and that they are already scientists!