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Title:
Element pl-order-blocks-optional: Dragging blocks to form one of the solutions to a problem
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Started at:
2026-09-19 06:12:55 (CDT)
Duration:
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{
"even-implies-even": [
{
"tag": "1",
"uuid": "b115a6f5-9cfa-4f41-896e-87ca6b6e3c9e",
"final": false,
"index": 0,
"indent": null,
"depends": [],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Let $n$ be an arbitrary even integer.",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "2",
"uuid": "e76732e8-2396-4f9f-8565-5637f9242c88",
"final": false,
"index": 1,
"indent": null,
"depends": [
"1"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "By the definition of even, there exists some integer $m$ such that $n =\n 2m$.",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "3",
"uuid": "b21ef191-0561-4835-a723-1fa1affb638f",
"final": false,
"index": 2,
"indent": null,
"depends": [
"2"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Then we know that $n + 10 = 2m + 10 = 2(m + 5)$",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "4",
"uuid": "fba08e50-95b5-49c4-8519-a81deccc1207",
"final": false,
"index": 3,
"indent": null,
"depends": [
"2"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Since $m$ is an integer, $m+5$ is an integer.",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "5",
"uuid": "c29b66f3-e740-4866-bb6f-290028f8fbc4",
"final": false,
"index": 4,
"indent": null,
"depends": [
"3",
"4"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "So $n + 10$ can be rewritten as $2$ times some integer",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "7",
"uuid": "c1df05a3-f87d-466d-9d89-ccc958fccb18",
"final": false,
"index": 5,
"indent": null,
"depends": [],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Suppose by way of contradiction that $n + 10$ is odd.",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "8",
"uuid": "e0c21096-3a04-4acb-98df-a249873675d1",
"final": false,
"index": 6,
"indent": null,
"depends": [
"7"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Then $n + 10 = 2m + 1$ for some integer $m$",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "9",
"uuid": "fb92a74d-fda2-4174-b885-42c4429e4e60",
"final": false,
"index": 7,
"indent": null,
"depends": [
"8"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "We can rewrite this as $n = 2m - 9 = 2(m - 5) + 1.$ ",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "10",
"uuid": "d858ca84-d37a-4ca9-8a09-71c74f2fa0d4",
"final": false,
"index": 8,
"indent": null,
"depends": [
"8"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Since $m$ is integer, $m-5$ is integer ",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "11",
"uuid": "d60a8334-c3ca-4fa6-8380-d2557337567b",
"final": false,
"index": 9,
"indent": null,
"depends": [
"9",
"10"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Since $n$ can be written as 2 times and integer plus 1, then $n$\n must be odd, which is a contradition.",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "6",
"uuid": "b1c4a372-8f1f-4a25-a6cf-9129016b3d8c",
"final": true,
"index": 10,
"indent": null,
"depends": [
[
"5"
],
[
"11"
]
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "Therefore, $n + 10$ is an even integer.",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
}
],
"python-plus-equals": [
{
"tag": "1",
"uuid": "d79a9085-43a3-4684-8c5a-3b94719d7316",
"final": false,
"index": 0,
"indent": 0,
"depends": [],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "<pl-code language=\"python\">def my_sum(first, second):</pl-code>",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "2",
"uuid": "c810f258-1e9e-4dfa-8586-ddbdbea96aff",
"final": false,
"index": 1,
"indent": 1,
"depends": [
"1"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "<pl-code language=\"python\">sum = 0</pl-code>",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "3",
"uuid": "a926ca33-7d27-48d0-93a9-d19cb2787261",
"final": false,
"index": 2,
"indent": 1,
"depends": [
"2"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "<pl-code language=\"python\">sum += first</pl-code>",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "4",
"uuid": "b3021525-7880-4b15-9d12-bb50f07f345d",
"final": false,
"index": 3,
"indent": 1,
"depends": [
"2"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "<pl-code language=\"python\">sum += second</pl-code>",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "5",
"uuid": "b936eb65-2662-4cda-b076-1e5cdf550fc9",
"final": false,
"index": 4,
"indent": 1,
"depends": [
"2"
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "<pl-code language=\"python\">sum += first + second</pl-code>",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
},
{
"tag": "6",
"uuid": "b831c111-4f3d-4a6a-a5a9-6b0092bb7077",
"final": true,
"index": 5,
"indent": 1,
"depends": [
[
"3",
"4"
],
[
"5"
]
],
"ranking": -1,
"group_info": {
"tag": null,
"depends": null
},
"inner_html": "<pl-code language=\"python\">return sum</pl-code>",
"distractor_for": null,
"initially_placed": false,
"ordering_feedback": null,
"distractor_feedback": null
}
]
}