You may only be able to claim as day care expenses(Child and Dependent Care Credit) if they are part of before- or after-school care for children in school above kindergarten.
See the answer to the following FAQ regarding Child and Dependent Care Credit qualifications.
Education expenses for grades K-12 are not deductible on your Federal return, whether for private, public, or home schooling, nor are the expenses for tutoring, after school lessons or after school activities, such as dance lessons, sports, etc. Some states allow deductions/credits for K-12 education and/or home schooling expenses; if your state has these deductions available, you will be prompted to enter them when you prepare your state return. (As far as I know, the states that offer any sort of K-12 deductions/credits are Illinois, Indiana, Iowa,Louisiana, Minnesota, and Wisconsin)