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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 08:00:20 (CDT)
Duration:
0s
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{
"even-implies-even": [
{
"tag": "1",
"uuid": "ba1760df-f4c5-466a-a04b-6ec92f47d57d",
"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": "e673e1f1-cd98-46a6-80d7-b566c967b806",
"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": "bb929731-fa07-4ca4-9af2-5f2bf85309e3",
"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": "ff3f6c2e-3bbf-45fc-9a0b-0c6de2884330",
"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": "c2e55347-c940-4d16-91db-696177befcb7",
"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": "c04f49db-4b52-4c2f-8db8-83e4857e7751",
"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": "e8a18389-2a8e-4615-8626-071d8b387d4b",
"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": "fe471e0c-65de-42d9-8163-e186f176d7a6",
"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": "d38392f9-0866-4052-9d3b-7a3357362ba8",
"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": "dcb862c5-6aa9-49c4-9d77-bf837f10ffdc",
"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": "b2815df2-8e52-4119-89b5-5146cbe4bd30",
"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": "d3d41788-6bf7-4666-ab0d-9bfc34a42207",
"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": "c568c65d-1a75-4eda-ac53-a1553930be14",
"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": "a0f1c949-8922-4d1e-b94e-a7731f5fda82",
"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": "b113972d-d96d-4b45-98aa-6f8844227001",
"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": "b5095901-1305-43b8-9d0a-1ef493d6e224",
"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": "ba7f4f8b-3d8f-4413-bc4f-fe460a99519f",
"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
}
]
}