This is just a simple program that acts as a calculator for school age children. My professor requested that I add a declarations section. If possible could someone help me which parts of my code I need to add.

My instructor has us do the same. His meaning is that we comment out a sentence or two at the very beginning stating the program is our own work and not copied and that we agree to get a zero for the assignment for any cheating.

Declarations as in:
//Declarations
not sure what to add here (some variables)
//endDeclarations

no, we can't, since we don't know what (type of) variables you 'll need to use.

package calculatortrial; // This Program is designed to calculate for children

import java.util.Scanner;
public class Calculatortrial {

    public static void main(String[] args) {

    Scanner in = new Scanner(System.in);

String option;

do{

System.out.println("****Welcome to calculator*******");  // Welcomes user

System.out.print("Enter ANY Number You Would LIKE XD:: "); // prompts for number

int first = in.nextInt();

System.out.print("Enter the operator('+','-','*' or '/')::"); // ask for oper

String operator = in.next();

System.out.print("Enter Your second number"); // prompts user for number

int second = in.nextInt();

double result = 0;

if(operator.equals("+")){

result = first+second;

}

else if(operator.equals("-")){

result = first-second;

}

else if(operator.equals("*")){

result = first*second;

}

else if(operator.equals("/")){

result = first/second;

}

String resultFormatted = String.format("%.2f",result);

System.out.println("Result for "+first+operator+second+" = "+resultFormatted);

System.out.println("Would You Like To Do More Awesome Math With Me??(Y/N)");

option = in.next();

System.err.println("Have a Wonderful Day!!!!!");  // if user is done. says bye


}

while(option.equalsIgnoreCase("Y"));

in.close();  


}


}

I mean I must be having a brain fart I had no trouble doing the code it's just cant remember of to do the declarations.

This is confusing. That code is perfectly valid Java; everything that needs to be declared is declared.
Do you mean declaration like ricewtnd said, eg something like

// I declare that this is all my own work and I didn't cheat...

Nope, no doubt it's mine I worked on it for a few hours lol. He teaches pseudocode asw ell where all the variables needed to be declared at the start. Maybe I'm over complicating things.

well, you actually did declare your variables ... what is it you need help with?

I think that he would like you to place all of your variable declarations in one place rather than throughout your program.

public static void main(String[] args) {

    //Declarations
    int first = 0;  //first integer
    int second = 0; //second integer
    double result = 0; 
    String option;


    Scanner in = new Scanner(System.in);

    do{
        // Welcomes user
        System.out.println("****Welcome to calculator*******");  

        first = in.nextInt();

        ....


    } while(option.equalsIgnoreCase("Y"));

    in.close();
}

Maybe that's what was asked for, but it's poor coding practice. Any variable should have a scope that's just as big as is needed, but no bigger. By moving declarations out of their local block into a wider scope you are just increasing the risk of problems.