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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 20:43:46 (CDT)
Duration:
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{
"even-implies-even": [
{
"tag": "1",
"uuid": "a91a30bb-7a40-4588-a349-7b2cc50b91b8",
"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": "d39f7a00-7350-4770-9229-1d12cdde5d94",
"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": "a973a081-f83a-4f81-9e8a-80a385cfe803",
"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": "e7e84d41-07a5-43db-9ded-63a9fc504c14",
"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": "a690d7cb-c88c-463e-8c68-214b6ecd66df",
"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": "c6d887bf-84f3-4d82-b0f3-eacfe8845949",
"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": "e7abfbed-104d-4a7d-850d-80e15ee68423",
"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": "ed9c2fdd-b058-4f93-b721-47219197c97c",
"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": "dd3c6d3a-cd82-428e-ad11-9dc2e065f566",
"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": "c57032b9-21de-4dc1-9b15-ee1bb692c888",
"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": "ca9e6cf6-9593-4efd-a61e-4321885eeb9f",
"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": "d764b511-cf0d-42dd-9f84-3e2650baf245",
"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": "ad17e4be-5025-41c7-8029-bcf193f93d7a",
"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": "fb3579a9-173b-4f59-8216-91d83b360eb9",
"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": "d51cd49d-be99-4b88-9816-1f8f8c487a56",
"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": "a0151a6b-0797-48dc-b520-875e47c1d283",
"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": "b4160c46-c550-4d38-956c-cc2e4cca0e92",
"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
}
]
}