List & Order of Introduction for Montessori Materials

A friend requested for this, and I have also wanted to do this for myself. Here is a list of the Montessori materials listed in the order of introduction according to age. It is not a full list, but cherry-picked based on what I feel are the most useful materials:

Montessori Infant Materials

1. Sandpaper (Age 3 months up)
2. Imbucare Box w/Knitted Ball (Age 6 months up)

Montessori Sensorial Materials

1. Rough & Smooth Board (Age 2 up) (No need to buy, make it yourself)
2. Sound Cylinders (Age 2 up) (No need to buy, make it yourself)
3. Smelling Jars (Age 2 up) (No need to buy, make it yourself)
4. Fabric Box (Age 2 up) (No need to buy, make it yourself)
5. Geometric Solids (Age 2 up)
6. Tasting Bottles (Age 2 up) (No need to buy, make it yourself)
7. Mystery Box (Age 2 up) (No need to buy, make it yourself)
8. Knobbed Cylinders (Age 2 up)
9. Pink Tower (Age 2.5 up) (No need to buy, use baby toy nesting boxes)
10. Brown Stair (Age 2.5 up)
11. Knobless Cylinders (Age 4.5 up)
12. Binomial Cube (Age 3 up)
13. Trinomial Cube (Age 3 up)
14. Power of 2 Cube (Age 3 up)
15. Color Box 3 (Age 3.5 up)
16. Algebraic Trinomial Cube (Age 3.5 up)
17. Arithmetic Trinomial Cube (Age 3.5 up)
18. Red Rods (Age 3.5 up) (No need to buy, use the Small Number Rods)

Montessori Language Materials

1. Sandpaper Letters (Age 3 up)
2. Metal Insets w Tracing Tray (Age 4 up)

Montessori Mathematics Materials

1. Fraction Skittles (Age 2.5 up)(No need to buy, use the Cut-Out Labeled Fraction Circles)
2. Colored Bead Stair (Age 3.5 up) (No need to buy, use Decanomial Bead Box)
3. Sandpaper Numbers (Age 3.5 up)
4. Small Number Rods (Age 3.5 up)
5. Spindle Boxes (Age 4 up) (No need to buy, make it yourself)
6. Number Cards & Counters (Age 4 up)  (No need to buy, use ordinary counters)
7. Memory Game (Age 4 up)  (No need to buy, make it yourself)
8. Decimal Quantity Tray (Age 4 up)  (No need to buy, the Golden Bead Materials) 
9. Large Number Cards (Age 4 up)  (No need to buy, print them from the net)
10. Decimal System Tray (Age 4 up)  (No need to buy, the Golden Bead Materials) 
11. Golden Bead Materials (50 units, 10 squares, 9 cubes) (Age 4 up) 
12. Bead Cabinet (Cubes, squares, chains) (Age 4 up) 
13. Constructive Triangles – Triangle Box (Age 4 up) 
14. Constructive Triangles – Rectangle Box (Age 4 up) 
15. Constructive Triangles – Blue Rectangle Box (Age 4 up) 
16. Constructive Triangles – Large Hexagonal Box (Age 4 up) 
17. Constructive Triangles – Small Hexagonal Box (Age 4 up) 
18. Table of Pythagoras (Sensorial Decanomial) (Age 4 up) 
19. Decanomial Bead Box (Age 4.5 up)
20. Teen Bead Hanger (Age 4.5 up)
21. Teen Board (Age 4.5 up)
22. Ten Board (Age 4.5 up)
23. Hundred Chain (Age 4.5 up) (No need to buy, use the Bead Cabinet)
24. Hundred Board (Age 4.5 up)
25. Metal Fraction Circles (Age 4.5 up)
26. Short Bead Chains (Squares) (Age 5 up) (No need to buy, use the Bead Cabinet)
27. Thousand Chain (Age 5 up) (No need to buy, use the Bead Cabinet)
28. Plus & Equal Symbol (Age 5 up) (No need to buy, make it yourself)
29. Addition Board (Age 5 up) (No need to buy, make it yourself)
30. The Stamp Game (Age 5 up)
31. Minus Symbol (Age 5 up) (No need to buy, make it yourself)
32. Subtraction Board (Age 5 up) (No need to buy, make it yourself)
33. Long Bead Chains (Cubes) (Age 5.5 up) (No need to buy, use the Bead Cabinet)
34. Addition Snake Game (Age 5.5 up) (No need to buy, use the Elementary Negative Snake Game)
35. Addition Strip Board (Age 5.5 up)
36. Addition Working Charts (Age 5.5 up) 
37. Subtraction Snake Game (Age 5.5 up) (No need to buy, use the Elementary Negative Snake Game)
38. Subtraction Strip Board (Age 5.5 up)
39. Subtraction Working Charts (Age 5.5 up) 
40. Color Chips (Age 5.5 up)
41. Multiplication Symbol (Age 6 up) (No need to buy, make it yourself)
42. Multiplication Bead Board (Age 6 up)
43. Multiplication Snake Game (Age 6 up)(No need to buy, use the Elementary Negative Snake Game)
44. Multiplication Working Charts (Age 6 up)
45. Pythagoras Multiplication Board (Age 6 up)
46. Division Symbol (Age 6 up)(No need to buy, make it yourself)
47. Division Bead Board (Age 6 up) (No need to buy, use the Long Division (Racks and Tubes))
48. Division Working Charts (Age 6 up)
49. Small Bead Frame (Age 6.5 up) (No need to buy, use the Large Bead Frame)
50. The Dot Game  (Age 6.5 up) (No need to buy, make it yourself using Excel)
51. Power of 2 Cube (Age 7 up)
52. Power of 3 Cube (Age 7 up)
53. Large Bead Frame (Age 7 up)
54. Multiplication Checker Board (Age 7.5 up)
55. Multiplication Decimal Checker Board (Age 7.5 up)
56. Long Division (Racks and Tubes) (Age 7.5 up)
57. The Elementary Negative Snake Game (Age 9-12)
58. Decimal Fraction Board (Age 9-12)
59. Cut-Out Labeled Fraction Circles (Age 5 up) (No need to buy, make it yourself)
60. Introduction to Types of Angles (Age 9-12)
61. Yellow Area Material (Age 9-12)
62. Small Square Root Board (Age 9-12) (No need to buy, use the Wooden Peg Board with Pegs)
63. Wooden Peg Board with Pegs (Age 9-12)
64. Patterns of Square Root (Age 9-12)