Plugin with a seperate page?

I have a requirement to create a small calculator plugin (which is relatively easy), to be displayed on the home page. But when the user hits the button to see the calculation, the requirement is to take them to a secondary page where the results of said calculation is displayed as well as the calculator again.

I’m looking for best practice suggestions for this. I’m wondering if using something like “is_page()” and then modifying a copy of the ‘single-page’ template would be ideal? Or suggested?

Any help appreciated.

Cheers.