Level II: Lessons #8 – #16: Blue Booklet.
Students use the red cubes, blue pawns, and white pawns to set up and solve equations such as:
2x = x + 6 and 2x – x + 2 = x + 10.
Note: Star, written as x, is a new mathematical notation developed by Dr. Borenson for the opposite of x. It is a more compact symbol than the traditional notation, (-x). See note following the video below.
Once students have learned the algebraic concepts using the star notation and the white pawn, they are then ready to transfer their learning and make sense of examples such as
2x + (-x) + 3 = 2(-x) + 12 and 2x – (-x) = 15.
Level III: Lessons #17 – #26: Green Booklet.
Students use the red cubes, blue pawns, white pawns, and green cubes to set up and solve equations such as:
2x + 3 = – 6 + x and x – 2(x + 2) = 5.