Concepts to Manipulatives to References

Algebra/patterns -- algebra tiles, calculators/graphing calculators, base-ten blocks, candy/food, pattern blocks, computers/Internet/software/spreadsheets, geometric solids/polyhedra/nets, games/puzzles/toys, hundreds charts/math tables/number lines/10x10 grid/circle charts, capacity containers, money, paper/origami/stencil patterns/graph paper, color tiles, rulers/tape measures/trundle wheels/callipers, books/journals/newspapers/portfolios, video technology/multi-media, attribute blocks, tangrams, cubes/Unifix cubes, chemical test kits, thermometers, clocks/stopwatches/calendars, astrolabes, geometric shapes, egg cartons, Cuisenaire rods, dice/number cubes, string/rope, models/simulation, fabrics/beadwork

Algorithms -- computers/Internet/software/spreadsheets, games/puzzles/toys, hundreds charts/math tables/number lines/10x10 grid/circle charts, geometric shapes, algebra tiles, calculators/graphing calculators, cubes/Unifix cubes, models/simulation

Angles -- protractors, compasses, geoboards, miras/mirrors/reflective material, rulers/tape measures/trundle wheels/callipers, tangrams, pattern blocks, candy/food, video technology/multi-media, games/puzzles/toys, computers/Internet/software/spreadsheets, geometric shapes, calculators/graphing calculators, geometric solids/polyhedra/nets, models/simulation, fabrics/beadwork

Area/surface area -- geoboards, color tiles, base-ten blocks, cubes/Unifix cubes, tangrams, pattern blocks, rulers/tape measures/trundle wheels/callipers, fraction models/circles, thermometers, computers/Internet/software/spreadsheets, books/journals/newspapers/portfolios, video technology/multi-media, clocks/stopwatches/calendars, astrolabe, chemical test kits, candy/food, calculators/graphing calculators, protractors, paper/origami/stencil patterns/graph paper, geometric shapes, geometric solids/polyhedra/nets, string/rope, models/simulation, fabrics/beadwork

Classification/sorting/making sets -- attribute blocks, cubes/Unifix cubes, pattern blocks, tangrams, counters, Cuisenaire rods, geometric solids/polyhedra/nets, money, base-ten blocks, geoboards, fraction models/circles, color tiles, games/puzzles/toys, candy/food, protractors, calculators/graphing calculators, rulers/tape measures/trundle wheels/callipers, garbage, models/simulation, fabrics/beadwork

Coordinate/analytic geometry -- geoboards, computers/Internet/software/spreadsheets, base-ten blocks, Cuisenaire rods, fraction models/circles

Constructions -- compasses, protractors, rulers/tape measures/trundle wheels/callipers, miras/mirrors/reflective material

Counting/skip-counting/one-to-one correspondence -- cubes/Unifix cubes, counters, Cuisenaire rods, spinners, dice/number cubes, money, calculators/graphing calculators, hundreds charts/math tables/number lines/10x10 grid/circle charts, geometric solids/polyhedra/nets, attribute blocks, string/rope, color tiles, games/puzzles/toys, clocks/stopwatches/calendars, rulers/straightedges/tape measures/meter sticks/trundle wheels/callipers, capacity containers, books/journals/newspapers/portfolios

Data collection/management/graphing/interpretation/statistics -- counters, attribute blocks, balance scale/weights/scales, books/journals/newspapers/portfolios/learning logs, base-ten blocks, capacity containers, computers/Internet/software/spreadsheets, money, candy/food, string/rope, calculators/graphing calculators, protractors, rulers/tape measures/trundle wheels/callipers, paper/origami/stencil patterns/graph paper, magnifying glass, hundreds charts/math tables/number lines/10x10 grid/circle charts, cubes/Unifix cubes, clocks/stopwatches/calendars, astrolabe, site gun, video technology/multi-media, chemical test kits, money, capacity containers, games/puzzles/toys, thermometers, geometric solids/polyhedra/nets, garbage, models/simulation, fabrics/beadwork

Decimals -- base-ten blocks, money, calculators/graphing calculators, dice/number cubes, spinners, candy/food, protractors, games/puzzles/toys, color tiles, rulers/tape measures/trundle wheels/callipers, Cuisenaire rods, clocks/stopwatches/calendars, paper/origami/stencil patterns/graph paper, computers/Internet/software/spreadsheets

Dimensionality/3D/2D -- attribute blocks, calculators/graphing calculators, protractors, compasses, computers/Internet/software/spreadsheets, cubes/Unifix cubes, geometric shapes, geometric solids/polyhedra/nets, paper/origami/stencil patterns/graph paper, pattern blocks, candy/food, games/puzzles/toys, rulers/tape measures/trundle wheels/callipers, models/simulation

Equality/equivalence/inequality/equations -- algebra tiles, calculators/graphing calculators, balance scale/weights/scales, color tiles, games/puzzles/toys, money, counters, cubes/Unifix cubes, Cuisenaire rods, fraction models/circles, hundreds charts/math tables/number lines/10x10 grid/circle charts, games/puzzles/toys, candy/food, capacity containers, fabrics/beadwork

Estimation -- color tiles, geoboards, balance scale/weights/scales, capacity containers, astrolabe, rulers/tape measures/trundle wheels/callipers, Cuisenaire rods, dice/number cubes, thermometers, calculators/graphing calculators, games/puzzles/toys, candy/food, protractors, hundreds charts/math tables/number lines/10x10 grid/circle charts, books/journals/newspapers/portfolios, computers/Internet/software/spreadsheets, clocks/stopwatches/calendars, string/rope, models/simulation, fabrics/beadwork

Factoring/factors -- computers/Internet/software/spreadsheets, algebra tiles, calculators/graphing calculators, attribute blocks

Fractions -- fraction models/circles, pattern blocks, base-ten blocks, geoboards, protractors, egg cartons, clocks/stopwatches/calendars, color tiles, cubes/Unifix cubes, games/puzzles/toys, Cuisenaire rods, money, tangrams, calculators/graphing calculators, dice/number cubes, spinners, counters, hundreds charts/math tables/number lines/10x10 grid/circle charts, candy/food, rulers/tape measures/trundle wheels/callipers, books/journals/newspapers/portfolios, models/simulation, fabrics/beadwork, computers/Internet/software/spreadsheets, geometric solids/polyhedra/nets

Functions -- calculators/graphing calculators, computers/Internet/software/spreadsheets, money, games/puzzles/toys, candy/food, cubes/Unifix cubes, capacity containers, protractors, attribute blocks, books/journals/newspapers/portfolios, rulers/tape measures/trundle wheels/callipers, string/rope

Geometry -- attribute blocks, calculators/graphing calculators, cubes/Unifix cubes, capacity containers, compasses, Cuisenaire rods, fraction models/circles, games/puzzles/toys, money, geoboards, geometric shapes, geometric solids/polyhedra/nets, miras/mirrors/reflective material, paper/origami/stencil patterns/graph paper, pattern blocks, protractors, video technology/multi-media, computers/Internet/software/spreadsheets, rulers/tape measures/trundle wheels/callipers, tangrams, candy/food, books/journals/newspapers/portfolios, site gun, models/simulation, fabrics/beadwork

Integers -- counters, algebra tiles, thermometers, color tiles, calculators/graphing calculators, geometric solids/polyhedra/nets, rulers/straightedge/tape measures/meter sticks/trundle wheels callipers, candy/food, fabrics/beadwork

Matrix algebra/Punnett square -- marbles

Measurement/scale -- balance scale/weights/scales, rulers/tape measures/trundle wheels/callipers, capacity containers, thermometers, clocks/stopwatches/calendars, geometric shapes, compasses, protractors, tangrams geometric solids/polyhedra/nets, base-ten blocks, color tiles, barometer, computers/Internet/software/spreadsheets, calculators/graphing calculators, candy/food, video technology/multi-media, paper/origami/stencil patterns/graph paper, hundreds charts/math tables/number lines/10x10 grid/circle charts, books/journals/newspapers/portfolios, rulers/tape measures/trundle wheels/callipers, chemical test kits, astrolabe, games/puzzles/toys, cubes/Unifix cubes, money, site gun, garbage, models/simulation, fabrics/beadwork

Mental math -- games/puzzles/toys, dice/number cubes, spinners, candy/food, money, geoboards, calculators/graphing calculators, string/rope

Money management -- money, calculators/graphing calculators, video technology/multi-media, books/journals/newspapers/portfolios, computers/Internet/software/spreadsheets, rulers/tape measures/trundle wheels/callipers, games/puzzles/toys, protractors, compasses, models/simulation

Number concepts/operations -- cubes/Unifix cubes, counters, spinners, dice/number cubes, calculators/graphing calculators, games/puzzles/toys, base-ten blocks, Cuisenaire rods, fraction models/circles, color tiles, money, paper/origami/stencil patterns/graph paper, astrolabes, string/rope, capacity containers, balance scale/weights/scales, dice/number cubes, rulers/tape measures/trundle wheels/callipers, clocks/stopwatches/calendars, geometric solids/polyhedra/nets, hundreds charts/math tables/number lines/10x10 grid/circle charts, candy/food, protractors, computers/Internet/software/spreadsheets, books/journals/newspapers/portfolios, candy/food, protractors, egg cartons, tangrams, pattern blocks, thermometers, video technology/multi-media, chemical test kits, garbage, models/simulation, fabrics/beadwork

Perimeter/circumference -- geoboards, color tiles, tangrams, pattern blocks, rulers/tape measures/trundle wheels/callipers, base-ten blocks, cubes/Unifix cubes, fraction models/circles, hundreds charts/math tables/number lines/10x10 grid/circle charts, calculators/graphing calculators, books/journals/newspapers/portfolios, computers/Internet/software/spreadsheets, compasses, paper/origami/stencil patterns/graph paper, garbage, models/simulation, fabrics/beadwork

Permutations/combinations -- computers/Internet/software/spreadsheets, calculators/graphing calculators, books/journals/newspapers/portfolios/learning logs

Place value -- base-ten blocks, Cuisenaire rods, cubes/Unifix cubes, counters, string/rope, models/simulation

Probability/chance -- spinners, dice/number cubes, fraction models/circles, money, color tiles, cubes/Unifix cubes, counters, games/puzzles/toys, computers/Internet/software/spreadsheets, candy/food, calculators/graphing calculators, protractors, video technology/multi-media, marbles, paper/origami/stencil patterns/graph paper, hundreds charts/math tables/number lines/10x10 grid/circle charts, clocks/stopwatches/calendars, books/journals/newspapers/portfolios, attribute blocks, magnifying glass, geometric shapes, rulers/tape measures/trundle wheels/callipers, models/simulation, fabrics/beadwork

Problem solving/thinking skills -- hundreds charts/math tables/number lines/10x10 grid/circle charts, calculators/graphing calculators, computers/Internet/software/spreadsheets, video technology/multi-media, paper/origami/stencil patterns/graph paper, egg cartons, rulers/tape measures/trundle wheels/callipers, games/puzzles/toys, clocks/stopwatches/calendars, candy/food, dice/number cubes, money, capacity containers, algebra tiles, color tiles, thermometers, counters, geometric solids/polyhedra/nets, protractors, books/journals/newspapers/portfolios, magnifying glass, geometric shapes, geoboards, cubes/Unifix cubes, spinners, base-ten blocks, pattern blocks, tangrams, miras/mirrors/reflective material, Cuisenaire rods, fraction models/circles, string/rope, garbage, models/simulation, fabrics/beadwork

Proofs/theorems -- geoboards, geometric shapes, calculators/graphing calculators, graduated cylinder, site gun, computers/Internet/software/spreadsheets, compasses, games/puzzles/toys, rulers/tape measures/trundle wheels/callipers, paper/origami/stencil patterns/graph paper, dice/number cubes

Pythagorean theorem -- geoboards, cubes/Unifix cubes, hundreds charts/math tables/number lines/10x10 grid/circle charts, capacity containers, dice/number cubes, candy/food, marbles, calculators/graphing calculators, geometric shapes, computers/Internet/software/spreadsheets, paper/origami/stencil patterns/graph paper, rulers/tape measures/trundle wheels/callipers

Quantity -- counters, cubes/Unifix cubes, color tiles, games/puzzles/toys, geometric shapes, geometric solids/polyhedra/nets, money, dice/number cubes, pattern blocks, calculators/graphing calculators, computers/Internet/software/spreadsheets, models/simulation, fabrics/beadwork

Ratio/proportion/percent -- color tiles, cubes/Unifix cubes, Cuisenaire rods, tangrams, pattern blocks, counters, base-ten blocks, candy/food, calculators/graphing calculators, compasses, dice/number cubes, computers/Internet/software/spreadsheets, protractors, games/puzzles/toys, paper/origami/stencil patterns/graph paper, rulers/tape measures/trundle wheels/callipers, clocks/stopwatches/calendars, books/journals/newspapers/portfolios, hundreds charts/math tables/number lines/10x10 grid/circle charts, video technology/multi-media, garbage, models/simulation, fabrics/beadwork

Rational/irrational numbers -- computers/Internet/software/spreadsheets, calculators/graphing calculators, Cuisenaire rods, clocks/stopwatches/calendars, rulers/tape measures/trundle wheels/callipers, geometric solids/polyhedra/nets, candy/food, games/puzzles/toys

Reasoning -- attribute blocks, Cuisenaire rods, geometric shapes, pattern blocks, tangrams, dice/number cubes, spinners, geoboards, hundreds charts/math tables/number lines/10x10 grid/circle charts, money, calculators/graphing calculators, games/puzzles/toys, garbage, models/simulation, dice/number cubes, clocks/stopwatches/calendars, counters, fabrics/beadwork, egg cartons, computers/Internet/software/spreadsheets, candy/food, protractors, cubes/Unifix cubes, books/journals/newspapers/portfolios, geometric solids/polyhedra/nets, paper/origami/stencil patterns/graph paper

Relationships/connections -- pattern blocks, base-ten blocks, geoboards, capacity containers, clocks/stopwatches/calendars, color tiles, cubes/Unifix cubes, Cuisenaire rods, money, tangrams, calculators/graphing calculators, dice/number cubes, spinners, counters, algebra tiles, string/rope, balance scale/weights/scales, games/puzzles/toys, fraction models/circles, algebra tiles, attribute blocks, geometric solids/polyhedra/nets, computers/Internet/software/spreadsheets, candy/food, thermometers, video technology/multi-media, paper/origami/stencil patterns/graph paper, egg cartons, geometric shapes, protractors, rulers/tape measures/trundle wheels/callipers, compasses, books/journals/newspapers/portfolios, chemical test kits, site gun, garbage, models/simulation, fabrics/beadwork

Similarity/congruence -- geoboards, miras/mirrors/reflective material, games/puzzles/toys, color tiles, geometric solids/polyhedra/nets, computers/Internet/software/spreadsheets, rulers/tape measures/trundle wheels/callipers, attribute blocks, pattern blocks, tangrams, models/simulation, fabrics/beadwork

Spatial visualization -- tangrams, pattern blocks, geoboards, geometric solids/polyhedra/nets, cubes/Unifix cubes, color tiles, games/puzzles/toys, calculators/graphing calculators, rulers/tape measures/trundle wheels/callipers, models/simulation

Spreadsheets -- computers/Internet/software/spreadsheets, calculators/graphing calculators, money, protractors, compasses

Symmetry -- geoboards, pattern blocks, tangrams, mira, cubes/Unifix cubes, attribute blocks, calculators/graphing calculators

Tessellations/tiling -- pattern blocks, attribute blocks, games/puzzles/toys, color tiles, geometric shapes

Transformational geometry -- geoboards, cubes/Unifix cubes, miras/mirrors/reflective material, pattern blocks, tangrams, games/puzzles/toys, color tiles, models/simulation

Volume -- computers/Internet/software/spreadsheets, hundreds charts/math tables/number lines/10x10 grid/circle charts

Volume -- capacity containers, cubes/Unifix cubes, geometric solids/polyhedra/nets, rulers/tape measures/trundle wheels/callipers, thermometers, computers/Internet/software/spreadsheets, compasses, candy/food, books/journals/newspapers/portfolios, astrolabe, chemical test kits, clocks/stopwatches/calendars, video technology/multi-media, calculators/graphing calculators, geometric shapes, protractors, paper/origami/stencil patterns/graph paper

Weight/mass -- balance scale/weights/scales, calculators/graphing calculators, counters computers/Internet/software/spreadsheets, geometric solids/polyhedra/nets

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