1 00:00:03,337 --> 00:00:04,905 On the Guided Practice tab, 2 00:00:04,905 --> 00:00:08,542 one-step equations will be generated for you. 3 00:00:08,542 --> 00:00:11,378 In level 1, generated equations can be solved 4 00:00:11,378 --> 00:00:15,382 using the inverse operation of multiplication. 5 00:00:15,382 --> 00:00:17,584 To solve an equation using algebra tiles, 6 00:00:17,584 --> 00:00:20,654 first use the tiles to represent the equation. 7 00:00:20,654 --> 00:00:24,658 Drag tiles from the tile bank to model the equation exactly. 8 00:00:28,095 --> 00:00:30,597 If you make a mistake while modeling the equation, 9 00:00:30,597 --> 00:00:34,401 you can drag tiles back to the tile bank to delete them. 10 00:00:34,401 --> 00:00:37,137 Click “Check” when you have modeled the equation. 11 00:00:37,137 --> 00:00:39,139 The equation must be modeled correctly 12 00:00:39,139 --> 00:00:42,409 before you can proceed to the next step. 13 00:00:42,409 --> 00:00:43,977 Now it is time to divide. 14 00:00:43,977 --> 00:00:46,046 Select the integer to divide by. 15 00:00:46,046 --> 00:00:48,448 You should divide by the number of unknown tiles. 16 00:00:48,448 --> 00:00:49,950 If you pick the wrong number, 17 00:00:49,950 --> 00:00:51,485 you will be able to pick a different number 18 00:00:51,485 --> 00:00:53,253 from the drop-down menu. 19 00:00:53,253 --> 00:00:56,023 Dividing by a negative number flips all of the tiles, 20 00:00:56,023 --> 00:01:00,694 so positives become negatives and negatives become positives. 21 00:01:00,694 --> 00:01:04,197 Now divide the tiles evenly among the zones that appear. 22 00:01:04,197 --> 00:01:06,199 If any of the tiles are shaking, 23 00:01:06,199 --> 00:01:08,902 then they have not been placed into a zone yet. 24 00:01:08,902 --> 00:01:11,538 Click “Ready” when the tiles are evenly distributed 25 00:01:11,538 --> 00:01:13,840 between the zones. 26 00:01:13,840 --> 00:01:16,610 All of the zones but the first on each side will fade, 27 00:01:16,610 --> 00:01:18,912 thereby showing the solution. 28 00:01:18,912 --> 00:01:20,047 Interpret the solution 29 00:01:20,047 --> 00:01:22,049 by counting the number of constant tiles 30 00:01:22,049 --> 00:01:24,384 that correspond to the unknown tile. 31 00:01:24,384 --> 00:01:26,687 Select the value of x from the drop-down icon. 32 00:01:26,687 --> 00:01:28,422 If you select the wrong value, 33 00:01:28,422 --> 00:01:31,024 an error message will appear and you can try again. 34 00:01:33,126 --> 00:01:34,394 After you have found the solution, 35 00:01:34,394 --> 00:01:36,496 thumbnail images of each stage appear, 36 00:01:36,496 --> 00:01:38,532 along with their related equations. 37 00:01:38,532 --> 00:01:40,534 In this way, you can observe the step you took 38 00:01:40,534 --> 00:01:42,736 to solve the one-step equation. 39 00:01:42,736 --> 00:01:46,740 Click “Try another” to try another example. 40 00:01:46,740 --> 00:01:49,343 In level 2, generated equations can be solved 41 00:01:49,343 --> 00:01:50,911 using the inverse operation of 42 00:01:50,911 --> 00:01:54,181 addition or subtraction of constant terms. 43 00:01:54,181 --> 00:01:56,350 To solve an equation using algebra tiles, 44 00:01:56,350 --> 00:01:59,186 first use the tiles to represent the equation. 45 00:01:59,186 --> 00:02:02,356 Drag tiles from the tile bank to model the equation exactly. 46 00:02:06,360 --> 00:02:08,428 Click “Check” when you have modeled the equation. 47 00:02:08,428 --> 00:02:10,864 The equation must be modeled correctly 48 00:02:10,864 --> 00:02:13,333 before you can proceed to the next step. 49 00:02:13,333 --> 00:02:15,335 When the equation is modeled correctly, 50 00:02:15,335 --> 00:02:17,838 a thumbnail image of your model will be preserved for you, 51 00:02:17,838 --> 00:02:20,173 in case you wish to reference it later. 52 00:02:20,173 --> 00:02:22,409 Now isolate the unknown by dragging tiles 53 00:02:22,409 --> 00:02:25,879 from the tile bank to both sides of the equation. 54 00:02:25,879 --> 00:02:28,882 Notice that when you drag tiles to one side of the workspace, 55 00:02:28,882 --> 00:02:30,584 the equals sign turns red 56 00:02:30,584 --> 00:02:32,919 until you drag matching tiles to the other side 57 00:02:32,919 --> 00:02:35,489 to rebalance the equation. 58 00:02:35,489 --> 00:02:37,624 When a positive tile and a negative tile 59 00:02:37,624 --> 00:02:39,693 are on the same side of the workspace together 60 00:02:39,693 --> 00:02:41,461 and the equation is balanced, 61 00:02:41,461 --> 00:02:44,731 the two tiles will automatically cancel. 62 00:02:44,731 --> 00:02:47,067 Drag tiles from the tile bank to both sides 63 00:02:47,067 --> 00:02:49,936 until the unknown tile is on one side of the equals sign 64 00:02:49,936 --> 00:02:53,673 and all of the constant tiles are on the other. 65 00:02:53,673 --> 00:02:57,344 Click “Ready” when you are done isolating the unknown. 66 00:02:57,344 --> 00:03:00,380 Interpret the solution by counting the number of constant tiles 67 00:03:00,380 --> 00:03:02,716 that correspond to the unknown tile. 68 00:03:02,716 --> 00:03:05,018 Select the value of x from the drop-down icon. 69 00:03:05,018 --> 00:03:08,221 If you select the wrong value, an error message will appear 70 00:03:08,221 --> 00:03:10,090 and you can try again. 71 00:03:10,090 --> 00:03:11,525 After you have found the solution, 72 00:03:11,525 --> 00:03:13,427 thumbnail images of each stage appear, 73 00:03:13,427 --> 00:03:15,262 along with the related equations. 74 00:03:15,262 --> 00:03:17,397 In this way, you can observe the step you took 75 00:03:17,397 --> 00:03:19,099 to solve the one-step equation. 76 00:03:19,099 --> 00:03:21,968 Click “Try another” to try another example. 77 00:03:24,004 --> 00:03:26,706 In level 3, generated equations can be solved 78 00:03:26,706 --> 00:03:28,141 using the inverse operation 79 00:03:28,141 --> 00:03:31,945 of addition or subtraction of unknown terms. 80 00:03:31,945 --> 00:03:34,514 To solve an equation using algebra tiles, 81 00:03:34,514 --> 00:03:37,250 first use the tiles to represent the equation. 82 00:03:37,250 --> 00:03:41,521 Drag tiles from the tile bank to model the equation exactly. 83 00:03:41,521 --> 00:03:44,157 Click “Check” when you have modeled the equation. 84 00:03:44,157 --> 00:03:46,159 The equation must be modeled correctly 85 00:03:46,159 --> 00:03:48,795 before you can proceed to the next step. 86 00:03:48,795 --> 00:03:50,797 When the equation is modeled correctly, 87 00:03:50,797 --> 00:03:53,233 a thumbnail image of your model will be preserved for you, 88 00:03:53,233 --> 00:03:55,469 in case you wish to reference it later. 89 00:03:55,469 --> 00:03:57,737 Now isolate the unknown by dragging tiles 90 00:03:57,737 --> 00:04:00,841 from the tile bank to both sides of the equation. 91 00:04:00,841 --> 00:04:03,710 Notice that when you drag tiles to one side of the workspace, 92 00:04:03,710 --> 00:04:05,378 the equals sign turns red 93 00:04:05,378 --> 00:04:07,614 until you drag matching tiles to the other side 94 00:04:07,614 --> 00:04:10,484 to rebalance the equation. 95 00:04:10,484 --> 00:04:12,486 When a positive tile and a negative tile 96 00:04:12,486 --> 00:04:14,488 are on the same side of the workspace together 97 00:04:14,488 --> 00:04:15,956 and the equation is balanced, 98 00:04:15,956 --> 00:04:18,925 the two tiles will automatically cancel. 99 00:04:18,925 --> 00:04:21,228 Drag tiles from the tile bank to both sides 100 00:04:21,228 --> 00:04:23,897 until the unknown tile is on one side of the equals sign 101 00:04:23,897 --> 00:04:27,267 and all of the constant tiles are on the other. 102 00:04:27,267 --> 00:04:31,171 Click “Ready” when you are done isolating the unknown. 103 00:04:31,171 --> 00:04:32,472 Interpret the solution by 104 00:04:32,472 --> 00:04:34,441 counting the number of constant tiles 105 00:04:34,441 --> 00:04:36,510 that correspond to the unknown tile. 106 00:04:36,510 --> 00:04:38,812 Select the value of x from the drop-down icon. 107 00:04:38,812 --> 00:04:40,547 If you select the wrong value, 108 00:04:40,547 --> 00:04:44,317 an error message will appear and you can try again. 109 00:04:44,317 --> 00:04:45,652 After you have found the solution, 110 00:04:45,652 --> 00:04:47,821 thumbnail images of each stage appear, 111 00:04:47,821 --> 00:04:49,723 along with the related equations. 112 00:04:49,723 --> 00:04:51,892 In this way, you can observe the step you took 113 00:04:51,892 --> 00:04:54,161 to solve the one-step equation. 114 00:04:54,161 --> 00:04:58,365 Click “Try another” to try another example. 115 00:04:58,365 --> 00:05:00,300 In Level 1 of the Workspace tab, 116 00:05:00,300 --> 00:05:01,935 you can enter equations that can be solved 117 00:05:01,935 --> 00:05:04,304 using the inverse operation of multiplication 118 00:05:04,304 --> 00:05:07,741 just like Level 1 of the Guided Practice tab. 119 00:05:07,741 --> 00:05:10,944 In this virtual manipulative, the equations that you can enter 120 00:05:10,944 --> 00:05:13,113 are limited to expressions and solutions 121 00:05:13,113 --> 00:05:15,582 that can be modeled by algebra tiles, 122 00:05:15,582 --> 00:05:18,251 so the value that you choose for one drop-down 123 00:05:18,251 --> 00:05:22,322 effects the options you can pick for the other drop-down. 124 00:05:22,322 --> 00:05:24,324 In Level 2 of the Workspace tab, 125 00:05:24,324 --> 00:05:25,926 you can enter equations that can be solved 126 00:05:25,926 --> 00:05:28,762 using the addition or subtraction of constant terms 127 00:05:28,762 --> 00:05:33,033 just like Level 2 of the Guided Practice tab. 128 00:05:33,033 --> 00:05:34,734 In Level 3 of the Workspace tab, 129 00:05:34,734 --> 00:05:36,636 you can enter equations that can be solved 130 00:05:36,636 --> 00:05:39,339 using the addition or subtraction of unknown terms 131 00:05:39,339 --> 00:05:42,943 just like Level 3 of the Guided Practice tab. 132 00:05:42,943 --> 00:05:44,511 In this virtual manipulative, 133 00:05:44,511 --> 00:05:46,513 the equations that you can enter are limited to 134 00:05:46,513 --> 00:05:50,083 expressions and solutions that can be modeled by algebra tiles, 135 00:05:50,083 --> 00:05:52,252 so the value that you choose for a drop-down 136 00:05:52,252 --> 00:05:54,254 for the coefficient of an unknown term 137 00:05:54,254 --> 00:05:55,822 determines the option you can pick 138 00:05:55,822 --> 00:05:58,325 for the drop-down for the other unknown term.