Here is a boardwork activity on adding numbers including money with or without regrouping for grade 1:

1. Draw a large grid on the board with three columns and several rows.
2. In the first column, write down different amounts of money using dollar signs and cents (e.g., $1.25, $0.50, $2.75, $3.10, etc.).
3. In the second column, write down different amounts of money using dollar signs and cents (e.g., $0.75, $1.50, $2.25, $3.90, etc.).
4. In the third column, leave it blank for the students to fill in the sum of the two amounts of money in the first two columns.
5. Call a student to the board and ask them to choose any two amounts of money from the first two columns.
6. Have the student add the two amounts of money together and write the sum in the third column.
7. Ask the student to explain their thinking and how they added the money (e.g., “I added the dollars first and then the cents”).
8. Repeat steps 5-7 with different students until all the sums are filled in the third column.
9. Discuss different strategies for adding money, including regrouping if necessary (e.g., if the sum of the cents is greater than 100, regroup the cents into dollars).
10. Encourage students to check their answers by counting the dollars and cents separately and then combining them.
11. Repeat the activity with different amounts of money and different students until everyone has had a chance to participate.

This boardwork activity allows students to practice adding money amounts while also reinforcing the concept of regrouping if necessary. It provides an opportunity for students to explain their thinking and learn from each other’s strategies.