1 00:00:02,069 --> 00:00:03,570 On the Guided Practice tab, 2 00:00:03,570 --> 00:00:06,406 multi-step equations will be generated for you. 3 00:00:06,406 --> 00:00:08,609 Generated equations can be solved using 4 00:00:08,609 --> 00:00:11,278 the inverse operations of addition, subtraction, 5 00:00:11,278 --> 00:00:13,647 and multiplication. 6 00:00:13,647 --> 00:00:15,849 To solve an equation using algebra tiles, 7 00:00:15,849 --> 00:00:18,685 first use the tiles to represent the equation. 8 00:00:18,685 --> 00:00:22,890 Drag tiles from the tile bank to model the equation exactly. 9 00:00:22,890 --> 00:00:24,958 If you make a mistake while modeling the equation, 10 00:00:24,958 --> 00:00:29,529 you can drag tiles back to the tile bank to delete them. 11 00:00:29,529 --> 00:00:31,999 Click “Check” when you have modeled the equation. 12 00:00:31,999 --> 00:00:34,001 The equation must be modeled correctly 13 00:00:34,001 --> 00:00:37,137 before you can proceed to the next step. 14 00:00:37,137 --> 00:00:39,139 When the equation is modeled correctly, 15 00:00:39,139 --> 00:00:41,542 a thumbnail image of your model will be preserved for you, 16 00:00:41,542 --> 00:00:43,977 in case you wish to reference it later. 17 00:00:43,977 --> 00:00:45,279 Now isolate the unknown 18 00:00:45,279 --> 00:00:47,281 by dragging tiles from the tile bank 19 00:00:47,281 --> 00:00:49,583 to both sides of the equation. 20 00:00:49,583 --> 00:00:52,486 Notice that when you drag tiles to one side of the workspace, 21 00:00:52,486 --> 00:00:54,254 the equals sign turns red 22 00:00:54,254 --> 00:00:55,856 until you drag matching tiles 23 00:00:55,856 --> 00:00:59,459 to the other side to rebalance the equation. 24 00:00:59,459 --> 00:01:01,528 When a positive tile and a negative tile 25 00:01:01,528 --> 00:01:03,530 are on the same side of the workspace together 26 00:01:03,530 --> 00:01:05,098 and the equation is balanced, 27 00:01:05,098 --> 00:01:07,200 the two tiles will automatically cancel. 28 00:01:09,336 --> 00:01:11,838 Drag tiles from the tile bank to both sides 29 00:01:11,838 --> 00:01:13,607 until all of the unknown tiles 30 00:01:13,607 --> 00:01:15,609 are on one side of the equals sign 31 00:01:15,609 --> 00:01:17,844 and all of the constant tiles are on the other. 32 00:01:20,314 --> 00:01:24,484 Click “Ready” when you are done isolating the unknown. 33 00:01:24,484 --> 00:01:27,454 Again, a thumbnail image of your model will be preserved for you, 34 00:01:27,454 --> 00:01:30,924 in case you wish to reference it later. 35 00:01:30,924 --> 00:01:32,926 Now that the unknown is isolated, 36 00:01:32,926 --> 00:01:34,094 it is time to divide. 37 00:01:34,094 --> 00:01:36,330 Select the integer to divide by. 38 00:01:36,330 --> 00:01:38,765 You should divide by the number of unknown tiles. 39 00:01:38,765 --> 00:01:40,133 If you pick the wrong number, 40 00:01:40,133 --> 00:01:42,135 you will be able to pick a different number 41 00:01:42,135 --> 00:01:43,737 from the drop-down menu. 42 00:01:43,737 --> 00:01:46,673 Dividing by a negative number flips all of the tiles, 43 00:01:46,673 --> 00:01:50,210 so positives become negatives and negatives become positives. 44 00:01:52,946 --> 00:01:56,183 Now divide the tiles evenly among the zones that appear. 45 00:01:56,183 --> 00:01:58,185 If any of the tiles are shaking, 46 00:01:58,185 --> 00:02:00,120 then they have not been placed into a zone yet. 47 00:02:05,525 --> 00:02:08,095 Click “Ready” when the tiles are evenly distributed 48 00:02:08,095 --> 00:02:10,497 between the zones. 49 00:02:10,497 --> 00:02:13,467 All of the zones but the first on each side will fade, 50 00:02:13,467 --> 00:02:15,469 thereby showing the solution. 51 00:02:15,469 --> 00:02:16,570 Interpret the solution 52 00:02:16,570 --> 00:02:18,572 by counting the number of constant tiles 53 00:02:18,572 --> 00:02:20,874 that correspond to the unknown tile. 54 00:02:20,874 --> 00:02:24,211 Select the value of X from the drop-down icon. 55 00:02:24,211 --> 00:02:27,047 If you select the wrong value, an error message will appear 56 00:02:27,047 --> 00:02:30,384 and you can try again. 57 00:02:30,384 --> 00:02:31,918 After you have found the solution, 58 00:02:31,918 --> 00:02:34,087 thumbnail images of each stage appear, 59 00:02:34,087 --> 00:02:36,390 along with their related equations. 60 00:02:36,390 --> 00:02:38,392 In this way, you can observe the steps you took 61 00:02:38,392 --> 00:02:40,894 to solve the multi-step equation. 62 00:02:40,894 --> 00:02:45,098 Click “Try another” to try another example. 63 00:02:45,098 --> 00:02:47,401 In the Workspace tab, you can enter equations 64 00:02:47,401 --> 00:02:49,770 that can be solved using the inverse operations 65 00:02:49,770 --> 00:02:52,205 of addition, subtraction, and multiplication 66 00:02:52,205 --> 00:02:55,075 just like in the Guided Practice tab. 67 00:02:55,075 --> 00:02:57,010 In this virtual manipulative, 68 00:02:57,010 --> 00:02:58,412 the equations that you can enter 69 00:02:58,412 --> 00:03:00,347 are limited to expressions and solutions 70 00:03:00,347 --> 00:03:02,416 that can be modeled by algebra tiles, 71 00:03:02,416 --> 00:03:05,085 so the values that you choose for some drop-downs 72 00:03:05,085 --> 00:03:07,821 effect the options you can pick for the other drop-downs.