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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:
2026-08-04 23:50:18 (CDT)
Duration:
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{
"even-implies-even": [
{
"tag": "1",
"uuid": "fa142ed0-6d05-4e28-95f4-a78649304f0f",
"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": "d59b485b-96aa-4786-b126-3bf818c0e3dc",
"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": "c896e65c-587d-4017-9ac3-65dd85e078c6",
"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": "c71b3d0c-9305-418c-96d5-371ac5245357",
"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": "e2c5051c-0c97-4285-8581-5ef8fba6ff13",
"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": "df68ba4f-8b48-4445-bcff-5806b557bd8b",
"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": "cec9f3b1-2177-4cc8-a8de-82ab7fd78942",
"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": "a6ec6eb3-c4bc-422b-b718-dd78b833fa21",
"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": "dcbfc4c1-d6f5-4293-8ff8-24ee0e238843",
"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": "a8184bf6-4626-4e12-affb-ea40541632e9",
"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": "f230e892-7bc9-4add-91ab-48419af77692",
"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": "c688f339-1065-4cd1-a540-83f036a40697",
"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": "a100e4be-c954-462f-b1f9-2ab238d5edaa",
"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": "b3dabf21-1b68-4aea-a661-954a79bf610c",
"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": "e10f3e31-c7cb-4b16-8849-c558e1a237f6",
"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": "ba55c323-e81b-4087-9e59-f157c085d158",
"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": "d0b38e1b-5157-4353-b71f-0db3937bdaca",
"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
}
]
}