Choose the numbers that are being added; in this example, use "69+12." Use the tens value and ones value when adding. Explain that the first digit in a two-digit number is always the tens value and the second digit is always the ones value. Ask the students to verbally repeat these rules. This will help them memorize the lesson.
Line up the numbers vertically and place the"+" sign beside the bottom number. Draw a line under the numbers. This will replace the "=" sign. Explain that when adding the ones value and the tens value both numbers must always be aligned vertically in a column.
Start with adding the one value first, which in this case is 9+2. Ask a student to give the answer. This will keep the students interested. The answer is 11. Explain that when adding the ones value the answer can not be more than 9 because anything higher will make it a two-digit number with tens and ones values again. Inform the students that only the ones value of the answer 11 is written below the ones value column. Write down "1" in the ones value column under the line.
Involve the students by asking where the tens value of the answer 11 will be written. This will help the students use some creativity. Write the tens value of the answer 11, which will simply be represented by a 1, above the other tens value in the column. Explain that since a tens value digit can not go under the ones value line, it must regroup and be carried over to the tens value digits. Elaborate to them that this is why this method is called two-digit addition with regrouping.
Add the numbers in the tens value column: "1+6+1." The answer will be 8. Write the answer in the tens value column below the line. Explain that in the tens value column the answer can be more than 10 as long as it is has two digits only. Ask a student to read the final answer. The final answer will be 81.