To add like fractions, just add the numerator, and you will get the answer. To add related fractions, you have to multiply the fraction with the lowest denominator, until both the denominators are the same. Then add the numerators and you will get the answer.
I think you wanted us to learn equivalent fractions, like 2\4 is equivalent to 1/2. You also wanted us to learn about ordering fractions like 1/2, 2/3, and 8/9. The last thing we learned was using methods. Method 1 was folding paper, the second method was multiplying or dividing the numbers, and method 3 was making all of the numerators or the denominators the same.