The homeschooling regimen recommended on the Hebrew Israelite Homeschool website is based on the 3 R's method: Reading, Writing and Arithmetic (Math). It is reading intensive (see booklist) and has a strong mathematics focus. Science is lightweight and elementary for younger children and becomes quite rigorous in the later grades. However, this is just the nuts and bolts, and serves as a good foundation.
All the children should be encouraged to pursue interesting subjects and projects, beyond their daily schoolwork (3 R's). The basic schoolwork typically takes about 4-5 hours, leaving a considerable amount of time for extras. My daughter tends to complete her schoolwork about noon each day, depending on what time we actually get going in the morning. The afternoons are spent doing extracurriculars like learning French, Cooking, Art, Geography and P.E. She does science projects from time to time, especially when she has an interest in something. Currently, she's interested in plants and so we've been spending a good deal of time learning about that. She has spent a good deal of time learning about ants this year (making an ant farm, going outside watching them with a magnifying glass, etc. We frequently do art projects as well. Miniature art is one of the things we enjoy doing together.
If you are new to homeschooling, you are going to find that the extras do enrich their learning immensely. Its more hands-on and because they have an interest, they can really become involved.
Here are a few activities to consider for extracurricular enrichment:
Art (Drawing, Painting, Sculpting, Calligraphy, Mosaics, Drafting, Woodworking, Architecture, Miniature Art, Film, Graphics, Photography, Art Appreciation and Art History)
Shakespeare (reading plays, viewing plays on video, viewing plays live)
Theatre ( Musicals, reading plays, performing plays, attending live productions, acting, opera, ballet, comedies, poetry, drama, tragedy, dramatic theory (Aristotle's Poetics), history of theatre (Greek, Roman, post-classical, etc.)
African-Centered Studies (African History, Mathematics, Languages, Cooking, Art, Geography, Israelite Studies, etc. See Kamali Academy)
Music (Music Appreciation, Learning an instrument, recital participation, attending live performances, etc.)
Science (physics and chemistry studies, science projects, experiments, field trips to museums and discovery centers, field biology, animal husbandry, constructing models, herbology, gardening, etc.)
Home Skills ( sewing, cooking, preserving food, housekeeping, home repair, home safety, etc.)
Health and P.E. (team sports, martial arts, dance, yoga, hiking, aerobics, swimming, skiing, gymnastics, etc.)
Supplemental Reading (free, leisurely reading outside of daily schoolwork)
Community Service (volunteer at homeless shelters, hospitals, pet shelters, food banks, libraries, museums, reading for the blind, habitat for humanity projects, etc.)