# Single-purpose manipulatives

• Fraction and decimal overlays can be used for multiplying two fractions, when the denominator is small, or for multiplying tenths (0.3 * 0.4, 0.6 * 0.1, etc.)
• The binomial cube is used for understanding the expansion of $$(a + b)^3,$$ and the trinomial cube is used for understanding the expansion of $$(a + b + c)^3.$$
• Sphinx tiles can be used to explore the questions provided by the Mathematics Centre.
• Genaille-Lucas rulers can be used to multiply.
• Napier's Bones can be used to multiply.
• Some collections of toys can be ordered from largest to smallest.
• Tracing Montessori sandpaper numerals with fingers, can be used as a precursor to writing numbers.