Set out a 60-inch 2-by-4 on the working surface. Lay it on a long, skinny side. Position a 24-inch 1-by-4 perpendicular to the 2-by-4 so that the end of the 2-by-4 butts into the exact center of the 1-by-4 to form a T. Have the 2-by-4 butt into the large side of the 1-by-4. Drill two holes through the 1-by-4 and into the end of the 2-by-4. Attach the two boards together with 1 1/2-inch wood screws. Repeat as needed depending on the length of the wall.
Stand the 2-by-4 upright by propping it up on the 1-by-4 to make an upside-down T. Stand up three of these 2-by-4s and stretch a sheet of lattice across them so that the middle 2-by-4 is in the center of the lattice with a large surface pressing against it and each end of the lattice board comes to the exact center of a large surface of a 2-by-4.
Set a carpenter's level on top of the lattice to ensure straightness, and position it at the desired height. Have assistants hold it in place and drill every 12 inches through the lattice and into all three 2-by-4s. Set a 1 1/2-inch wood screw in each hole and tighten them completely.
Repeat with another lattice board on the other side, spacing it the same way as the first lattice board and making sure the screws don't interfere with one another by staggering them. Continue to lengthen the wall as needed.