WoW Engineering Leveling Guide 1-450
The following is an approximation of how many of each item it might require to level your engineering from 1 to 450. The guide is here just as a reference as it will never be exactly the same every time you level. If you run out of mats and the auction house does not have any to buy, just look for another plan that will raise your level then continue the guide from there.
Gold is cheap, but your time is not!
Engineering Materials:
40 x Rough Stone
100 x Copper Bar
50 x Weak Flux
15 x Coarse Stone
39 x Linen Cloth
120 x Bronze Bar
5 x Moss Agate
40 x Heavy Stone
80 x Wool Cloth
20 x Medium Leather
4 x Steel Bar
180 x Solid Stone
140 x Mithril Bar
12 x Mageweave Cloth
40 x Dense Stone
130 x Thorium Bar
20 x Runecloth
95 x Fel Iron Bar
20 x Mote of Earth
10 x Mote of Fire
40 x Adamantite Bar
30 x Netherweave Cloth
284 x Cobalt Bar
8 x Frostweave Cloth
43 x Crystallized Water
10 x Crystallized Earth
26 x Borean Leather
13 x Eternal Shadow
479 x Saronite Bar
25 x Skinning Knife
25 x Minning Pick
25 x Blacksmithing Hammer
WoW Engineering Guide 1-30
40 x Rough Blasting Powder - 40 Rough Stone (Save for later use)
WoW Engineering Guide 30-50
34 x Handful of Copper Bolts - 34 Copper Bar (Save for later use)
WoW Engineering Guide 50-51
1 x Arclight Spanner - 6 Copper Bar (Keep)
WoW Engineering Guide 51-75
24 x Copper Tube - 48 Copper bar, 24 Weak Flux (Sell)
WoW Engineering Guide 75-85
15 x Coarse Blasting Powder - 15 Coarse Stone (Save for later use)
WoW Engineering Guide 85-90
5 x Coarse Dynamite - 15 Coarse Blasting Powder, 15 Linen Cloth (Sell)
WoW Engineering Guide 90-100
10 x Copper Modulator - 20 Handful Copper Bolts, 10 Copper Bar, 20 Linen Cloth (Sell)
WoW Engineering Guide 100-105
5 x Practice Lock - 10 Handful Copper Bolts, 5 Bronze Bar, 5 Weak flux (Sell)
WoW Engineering Guide 105-120
15 x Bronze Tubes - 30 Bronze Bar, 15 Weak Flux (Sell)
WoW Engineering Guide 120-125
5 x Standard Scope - 5 Bronze Tube, 5 Moss Agate (Sell)
WoW Engineering Guide 125-150
40 x Heavy Blasting Powder - 40 Heavy Stone (Save for later use)
20 x Whirring Bronze Gizmo - 40 Bronze Bar, 20 Wool Cloth (Save for later use)
WoW Engineering Guide 150-155
20 x Bronze Framework - 40 Bronze Bar, 20 Medium Leather, 20 Wool Cloth (Save for later use)
WoW Engineering Guide 155-175
20 x Explosive Sheep - 40 Heavy Blasting Powder, 20 Whirring Bronze Gizmo, 20 Bronze Framework, 40 Wool Cloth (Save 5 for Engineer Goblin quest)
WoW Engineering Guide 175-176
1 x Gyromatic Micro-Adjustor - 4 Steel Bar (Keep)
WoW Engineering Guide 176-195
90 x Solid Blasting Powder - 180 Solid Stone (Save for later use)
WoW Engineering Guide 195-200
5 x Mithril Tubes - 30 Mithril Bar (Sell)
WoW Engineering Guide 200-210
12 x Unstable Triggers - 12 Mithril Bar, 12 Mageweave Cloth, 12 Solid Blasting Powder (Save for later use)
WoW Engineering Guide 210-225
15 x Hi-Impact Mithril Slugs - 15 Mithril Bar, 15 Solid Blasting Powder (Sell)
WoW Engineering Guide 225-235
20 x Mithril Casings - 60 Mithril Bar (Save for later use)
WoW Engineering Guide 235-245
10 x Hi-Explosive Bomb - 20 Mithril Casings, 10 Unstable Trigger, 20 Solid Blasting Powder (Sell)
WoW Engineering Guide 245-250
5 x Mithril Gyro-Shot - 10 Mithril Bar, 10 Solid Blasting Powder (Sell)
WoW Engineering Guide 250-260
20 x Dense Blasting Powder - 40 Dense Stone (Save for later use)
WoW Engineering Guide 260-280
20 x Thorium Widget - 60 Thorium Bar, 20 Runecloth (Sell)
WoW Engineering Guide 280-285
5 x Thorium Tube - 30 Thorium Bar (Sell)
WoW Engineering Guide 285-300
20 x Thorium Shells - 40 Thorium Bar, 20 Dense Blasting Powder (Sell)
WoW Engineering Guide 300-310
50 x Handful of Fel Iron Bolts - 50 Fel Iron Bar (Save for later use)
WoW Engineering Guide 310-320
10 x 4 Elemental Blasting Powder - 20 Mote of Earth, 10 Mote of Fire (Save for later use)
15 x Fel Iron Casing - 45 Fel Iron Bar (Save for later use)
WoW Engineering Guide 320-325
5 x Fel Iron Musket - 5 Heavy Stock, 15 Fel Iron Casing, 30 Handful of Fel Iron Bolts (Sell)
WoW Engineering Guide 325-335
10 x Adamantite Grenade - 40 Adamantite Bar, 10 Elemental Blasting Powder, 20 Handful of Fel Iron Bolts (Sell)
WoW Engineering Guide 335-350
15 x White Smoke Flare - 15 Netherweave Cloth, 15 Elemental Blasting Powder (Sell)
WoW Engineering Guide 350-377
35 x 1-3 Handful of Cobalt Bolts - 70 Cobalt Bar (Save for later use)
18 x 2 Volatile Blasting Trigger - 54 Cobalt Bar, 18 Crystallized Water (Save for later use)
WoW Engineering Guide 377-385
10 x Overcharged Capacitor - 40 Cobalt Bar, 10 Crystallized (Save for later use)
WoW Engineering Guide 385-390
5 x Explosive Decoy - 5 Frostweave Cloth, 15 Volatile Blasting Trigger (Sell)
WoW Engineering Guide 390-400
15 x Froststeel Tube - 120 Cobalt Bar, 15 Crystallized Water (Save for later use)
WoW Engineering Guide 400-405
5 x Diamond-cut Refractor Scope - 5 Froststeel Tube, 10 Handful of Cobalt Bolts (Sell)
WoW Engineering Guide 405-415
10 x Box of Bombs - 50 Saronite Bar, 10 Volatile Blasting Trigger (Sell)
WoW Engineering Guide 415-420
5 x Mana Injector Kit - 60 Saronite Bar, 10 Crystallized Water (Sell)
WoW Engineering Guide 420-430
10 x Mechanized Snow Goggles - 80 Saronite Bar, 20 Borean Leather, 10 Eternal Shadow (Sell)
WoW Engineering Guide 430-435
5 x Noise Machine - 10 Froststeel Tube, 10 Overcharged Capacitor, 40 Handful of Cobalt Bolts (Sell)
WoW Engineering Guide 435+
Gnomish Army Knife - 10 Saronite Bar, 1 Skinning Knife, 1 Minning Pick, 1 Blacksmithing Hammer (Sell)
From here you can do the Gnomish Army Knife or any other plan that's available to max out Engineering.