How can I determine if a number is even or odd? When I add two even numbers together, would my answer always be an even number, and how could I proof this? What numbers would be the last digit of an even number? What numbers would be the last digit of an odd number? How does creating pairs of objects help you understand if a number if even or odd?

How are the rules for adding two numbers the same/ or different than multiplying the same two numbers? When adding 743 and 892, would the answer be even or odd and why? Do you always have to solve the entire problem to decide if an answer will be even or odd, why? How can you quickly decide when subtracting two numbers if the answer will be even or odd? When you paired the penguins in the theater boxes, how did you know if the boxes were odd or even?