The list of objectives is an outline of what you hope to accomplish over the year. The school may not hold you to the objectives. Should you decide to change your course of studies anytime over the year you may do so without notifying the school. Please see my objectives page for ideas on how to write objectives. You must keep a contemporaneously written log of what you do each day that you have school.
Some people use checkmarks in subject areas, others write detailed accounts of their activities.
The format is your choice. It is not necessary to be extremely elaborate, detailed and extravagant here. After all, it is the child's work that is being evaluated, not yours. You may choose days or hours. Never underestimate the educational value of everyday adventures.