奥庭[okuniwa] inner garden
家庭[katei] home
家庭を顧みない[kateiwokaeriminai] thinking little of one's family
家庭科[kateika] home economics
家庭教育[kateikyouiku] home education

家庭教師[kateikyoushi] tutor
家庭裁判所[kateisaibansho] family court
家庭内暴力[kateinaibouryoku] household violence (esp. adolescent children towards parents)
家庭用[kateiyou] for home (vs business) use
家庭欄[kateiran] family column (newspaper)