Structural units for building construction and methods of use thereof

An interlocking system of modular units engageable to form vertically and horizontally stable assemblies, the modular units comprising:

• a plurality of modular blocks each comprising:
• top and bottom sides, front and back faces, a first end, and a second end,
• a first horizontal channel recessed in the top side and extending between the first end and a central point proximal to the second end of each modular block on the top side thereof,
• a second horizontal channel recessed in the bottom side and extending between the first end and the central point proximal to the second end of each modular block on the bottom side thereof,
• at least one vertical bore extending through each modular block from the top side to the bottom side thereof,
• a male block connection element positioned on (i) the first end or (ii) the first end and the second end, and
• a female block connection element positioned opposite the male block connection element,
• wherein the male block connection element extends along the first and second horizontal channels and is configured for attachment to a respective said female block connection element of another modular block of the plurality of modular blocks,
• wherein the first horizontal channel of a first modular block of the plurality of modular blocks is configured for connection with the second horizontal channel of a second modular block of the plurality of modular blocks and forms a horizontal bore therebetween;
• and
• a plurality of modular panels comprising:
• top and bottom ends defining a modular panel length, front and back faces, and first and second sides defining a modular panel width,
• at least one vertical bore extending through each modular panel from the top end to the bottom end thereof, and
• a male panel connection element positioned on either or both of the first side and the second side, the male panel connection element configured for attachment to a female panel connection element of another modular panel of the plurality of modular panels,
• wherein the plurality of the modular blocks and modular panels are engageable to form any of an interior wall, a floor, a ceiling, an exterior wall, or a roof.