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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 09:08:08 (CDT)
Duration:
0s
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{
"even-implies-even": [
{
"tag": "1",
"uuid": "b99f305d-28aa-4394-a4ad-d85827518437",
"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": "af2892c8-cf7e-4e1d-969e-177649951dbc",
"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": "d59b0731-cd03-4840-b598-81cb44b63a6c",
"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": "db11143f-bc62-4e85-9029-cb0fb90cdb28",
"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": "eaebaf58-c7ed-44b8-9e2a-dc7a9aebfd57",
"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": "b844004e-e9d7-4df3-9b9c-41d8ea71a4fd",
"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": "de478c11-2ed3-49f7-8a02-99e299d32694",
"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": "ebf1a48d-6554-4bda-8b4e-9ca5f0577d68",
"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": "b3d57f1b-91a7-4bdb-9721-c4916fc82e82",
"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": "f2883196-ceb9-4c44-b58c-ee3721982003",
"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": "f077a1a3-7f28-47ee-a5e6-9e877b8bf755",
"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": "fc2af5b7-4b8a-40b0-97e9-b1e69350eacf",
"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": "f879650e-45c6-4c57-976a-84343d440566",
"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": "c2160225-2f44-4593-9966-05c1af2556c6",
"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": "d4cbf3ef-fe72-4d36-a808-d03187eabd4c",
"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": "a822e424-e515-4c26-be8d-ec0dc17510ad",
"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": "a68c5c6d-f331-46de-afa6-865ca8f62b79",
"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
}
]
}