The following is a listing of **some** of the manipulatives that can effectively be used to teach the given concept. The list is recommended by the National Council of Supervisors of Mathematics, *Supporting Leaders in Mathematics Education: A Source Book of Essential Information*, 1994.

protractors, compasses, geoboards, miras, rulers, tangrams, pattern blocks

geoboards, color tiles, base-ten blocks, decimal squares, cubes, tangrams, pattern blocks, rulers, fraction models

attribute blocks, cubes, pattern blocks, tangrams, 2-color counters, Cuisenaire rods, dominoes, geometric solids, money, numeral cards, base-ten materials, polyhedra models, geoboards, decimal squares, fraction models

geoboards

Compasses, protractors, rulers, miras

Cubes, 2-color counters, color tiles, Cuisenaire rods, dominoes, numeral cards, spinners, 10-frames, number cubes, money, calculators

decimal squares, base-ten blocks, money, calculators, number cubes, numeral cards, spinners

algebra tiles, math balance, calculators, 10-framers, balance scale, color tiles, dominoes, money, numeral cards, 2-color counters, cubes, Cuisenaire rods, decimal squares, fraction models

color tiles, geoboards, balance scale, capacity containers, rulers, Cuisenaire rods, calculators

algebra tiles

10-frames, 2-color counters, dominoes, cubes, numeral cards, spinners, number cubes, money, math balance, calculators

fraction models, pattern blocks, base-ten materials, geoboards, clocks, color tiles, cubes, Cuisenaire rods, money, tangrams, calculators, number cubes, spinners, 2-color counters, decimal squares, numeral cards

2-color counters, algebra tiles, thermometers, color tiles

attribute blocks, Cuisenaire rods, dominoes, pattern blocks, tangrams, number cubes, spinners, geoboards

balance scale, math balance, rulers, capacity containers, thermometers, clocks, geometric solids, base-ten materials, color tiles

10-frames, dominoes, number cubes, spinners

money

cubes, 2-color counters, spinners, number cubes, calculators, dominoes, numeral cards, base-ten materials, Cuisenaire rods, fraction models, decimal squares, color tiles, 10-frames, money

color tiles, cubes, Cuisenaire rods, numeral cards, 2-color counters

pattern blocks, attribute blocks, tangrams, calculators, cubes, color tiles, Cuisenaire rods, dominoes, numeral cards, 10-frames

base-ten materials, decimal squares, color tiles, cubes, geoboards, fraction models

geoboards, color tiles, tangrams, pattern blocks, rules, base-ten materials, cubes, fraction circles, decimal squares

base-ten materials, decimal squares, 10-frames, Cuisenaire rods, math balance, cubes, 2-color counters

algebra tiles, base-ten materials

spinners, number cubes, fraction models, money, color tiles, cubes, 2-color counters

geoboards

color tiles, cubes, Cuisenaire rods, tangrams, pattern blocks, 2-color counters

geoboards, attribute blocks, pattern blocks, tangrams, miras

attribute blocks, cubes, color tiles, geoboards, geometric solids, pattern blocks, tangrams, polyhedra models

tangrams, pattern blocks, geoboards, geometric solids, polyhedra models, cubes, color tiles

color tiles, cubes, base-ten materials, geoboards

color tiles, cubes

geoboards, pattern blocks, tangrams, miras, cubes, attribute blocks

pattern blocks, attribute blocks

geoboards, cubes, miras, pattern blocks, tangrams

capacity containers, cubes, geometric solids, rules

base-ten materials, balance scale, number cubes, spinners, color tiles, cubes, math balance, money, numeral cards, dominoes, rules, calculators, 10-frames, Cuisenaire rods, clocks, 2-color counters