What is the difference between the House of Israel and the House of Judah in the Teaching?

Jacob to Jesus traces the Teaching’s account of covenant history from Abraham, Jacob, Joseph, and Ephraim through the division of Israel into the House of Israel and the House of Judah, the scattering of the northern house, and the work of Yeshua at the cross. The Teaching argues that many New Testament expressions—lost sheep, those far off, the elect, the one new man, and the olive tree—are best understood against this two-house history. Its central argument is that the divorced House of Israel faced a legal barrier to returning to her first Husband; the Teaching reads Deuteronomy 24 together with Romans 7 to explain the Husband’s death as the means by which that barrier is removed, followed by resurrection and reconciliation in Messiah. It then connects this restoration to the New Covenant, the gathering of the scattered, and the inclusion of those who belong to Christ as Abraham’s offspring.