Idaho Code § 33-305
Each school district as the same is organized on the effective date of this act shall bear the same number as theretofore. Excepting specially chartered school districts, each school district operating a secondary school, or secondary schools, on said date shall be designated by number and county, after the following style:
School District No. .., .... County, State of Idaho, or Joint School District No. .., ...., ...., (and ....) Counties, State of Idaho.
Each school district which, on the effective date of this act, is maintaining only an elementary school, or elementary schools, shall be designated after the following style:
Elementary School District No. .., .... County, State of Idaho, or Joint Elementary School District No. .., ...., ...., (and ....) Counties, State of Idaho.
Joint districts shall be designated by the same number in each county in which the district lies, or shall lie.
Wherever the term "school district" appears in this act, it shall mean and include any school district, joint school district, elementary school district, joint elementary school district or specially chartered school district, unless a more limited meaning is clearly expressed and intended, or unless any provision of a charter is contrary thereto.
Idaho Code § 33-305