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[
{
"slide": 1,
"fragments": [
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"fragment_index": -1,
"text_description": "Let's Meet Polynomials\nDiscover the equations that give algebra its voice.",
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}
]
},
{
"slide": 2,
"fragments": [
{
"fragment_index": -1,
"text_description": "Parts of a Polynomial\nPattern in every term\nEach arrow shows one part. Every term fits: coefficient × variable\\(^{\\text{exponent}}\\).",
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{
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"text_description": "Key Points:\nCoefficient – number multiplied by the variable.\nVariable – letter that can change value.\nExponent – small power on the variable.\nOperator – + or – sign joining terms.\nConstant – term without a variable.",
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]
},
{
"slide": 3,
"fragments": [
{
"fragment_index": 1,
"text_description": "What is a Polynomial?",
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},
{
"fragment_index": 2,
"text_description": "Polynomial",
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},
{
"fragment_index": 3,
"text_description": "A polynomial in one variable is a\nsum\nor\ndifference\nof terms \\(a x^{n}\\) where \\(a\\) is any\nreal number\nand \\(n\\) is a\nwhole number\n\\(0,1,2,\\dots\\).",
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]
},
{
"slide": 4,
"fragments": [
{
"fragment_index": -1,
"text_description": "1, 2, or 3 Terms?",
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{
"fragment_index": 1,
"text_description": "",
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{
"fragment_index": 2,
"text_description": "Types by Number of Terms\nCount the unlike terms in an expression to name it correctly.",
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{
"fragment_index": 3,
"text_description": "Key Points:\nMonomial → 1 term, e.g. \\(5x\\)\nBinomial → 2 terms, e.g. \\(3x+2\\)\nTrinomial → 3 terms, e.g. \\(x^{2}+2x+1\\)",
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]
},
{
"slide": 5,
"fragments": [
{
"fragment_index": -1,
"text_description": "Sort the Expressions\nDrag each algebraic expression into its correct basket: monomial, binomial, or trinomial.\nCheck Answers\nResults\n// Drag and drop functionality\n const draggableItems = document.querySelectorAll('.draggable-item');\n const dropZones = document.querySelectorAll('.drop-zone');\n const checkAnswersBtn = document.getElementById('checkAnswersBtn');\n const feedbackArea = document.getElementById('feedbackArea');\n const feedbackContent = document.getElementById('feedbackContent');\n\n draggableItems.forEach(item => {\n item.addEventListener('dragstart', handleDragStart);\n item.addEventListener('dragend', handleDragEnd);\n });\n\n dropZones.forEach(zone => {\n zone.addEventListener('dragover', handleDragOver);\n zone.addEventListener('drop', handleDrop);\n zone.addEventListener('dragenter', handleDragEnter);\n zone.addEventListener('dragleave', handleDragLeave);\n });\n\n function handleDragStart(e) {\n e.target.classList.add('opacity-50');\n e.dataTransfer.setData('text/plain', e.target.dataset.id);\n }\n\n function handleDragEnd(e) {\n e.target.classList.remove('opacity-50');\n }\n\n function handleDragOver(e) {\n e.preventDefault();\n }\n\n function handleDragEnter(e) {\n e.preventDefault();\n e.target.closest('.drop-zone').classList.add('border-green-500', 'bg-green-50');\n }\n\n function handleDragLeave(e) {\n e.target.closest('.drop-zone').classList.remove('border-green-500', 'bg-green-50');\n }\n\n function handleDrop(e) {\n e.preventDefault();\n const dropZone = e.target.closest('.drop-zone');\n dropZone.classList.remove('border-green-500', 'bg-green-50');\n\n const itemId = e.dataTransfer.getData('text/plain');\n const draggedItem = document.querySelector(`[data-id=\"${itemId}\"]`);\n\n if (draggedItem && dropZone) {\n dropZone.appendChild(draggedItem);\n dropZone.querySelector('.text-center').style.display = 'none';\n }\n }\n\n // Check answers functionality\n checkAnswersBtn.addEventListener('click', () => {\n let correct = 0;\n dragItems = document.querySelectorAll('.draggable-item');\n dragItems.forEach(item => {\n const parentZone = item.closest('.drop-zone');\n if (parentZone && parentZone.dataset.id === item.dataset.category) {\n correct++;\n item.classList.add('border-green-500');\n } else {\n item.classList.add('border-red-500');\n }\n });\n feedbackArea.classList.remove('hidden');\n feedbackContent.innerHTML = `<p class=\"text-gray-800\">You placed ${correct} out of 3 expressions correctly.</p>`;\n });",
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{
"fragment_index": 1,
"text_description": "Draggable Items\n\\(5x\\)\n\\(3y + 2\\)\n\\(4a^{2}-7a+1\\)",
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},
{
"fragment_index": 2,
"text_description": "Drop Zones\nMonomial\nBinomial\nTrinomial",
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},
{
"fragment_index": 3,
"text_description": "Tip:\nCount unlike terms: 1 → monomial, 2 → binomial, 3 → trinomial.",
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}
]
},
{
"slide": 6,
"fragments": [
{
"fragment_index": -1,
"text_description": "Degree of a Polynomial\nDegree\nThe degree is the highest power (largest exponent) of the variable in a polynomial.",
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{
"fragment_index": 2,
"text_description": "Key Characteristics:\nHighest power decides the degree.\nDegree 1 → Linear polynomial.\nDegree 2 → Quadratic polynomial.\nDegree 3 → Cubic polynomial.",
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},
{
"fragment_index": 3,
"text_description": "Example:\n\\(5x^2 + 3x + 1\\) has highest exponent \\(2\\); therefore, it is\nquadratic\n.",
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}
]
},
{
"slide": 7,
"fragments": [
{
"fragment_index": 1,
"text_description": "Check Your Pick",
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},
{
"fragment_index": 2,
"text_description": "Question\nFormative assessment: Which expression below is\nNOT\na polynomial in \\(x\\)?",
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},
{
"fragment_index": 3,
"text_description": "1\n\\(2x^{2}-5x+1\\)",
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},
{
"fragment_index": 4,
"text_description": "2\n\\(3x^{3}+4\\)",
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},
{
"fragment_index": 5,
"text_description": "3\n\\(x^{-1}+2\\)",
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},
{
"fragment_index": 6,
"text_description": "4\n7",
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},
{
"fragment_index": 7,
"text_description": "Hint:\nA polynomial has only whole-number exponents on \\(x\\).",
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},
{
"fragment_index": 8,
"text_description": "Submit Answer",
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{
"fragment_index": -1,
"text_description": "Correct!\nYes—\\(x^{-1}+2\\) contains a negative exponent, so it is not a polynomial.\nIncorrect\nRemember: every exponent in a polynomial must be a non-negative integer.\nconst correctOption = 2;\n const answerCards = document.querySelectorAll('.answer-card');\n const submitBtn = document.getElementById('slide-07-g4h7z3-submitBtn');\n const feedbackCorrect = document.getElementById('slide-07-g4h7z3-feedbackCorrect');\n const feedbackIncorrect = document.getElementById('slide-07-g4h7z3-feedbackIncorrect');\n\n let selectedOption = null;\n\n answerCards.forEach((card, index) => {\n card.addEventListener('click', () => {\n answerCards.forEach(c => c.classList.remove('border-blue-500', 'bg-blue-50'));\n card.classList.add('border-blue-500', 'bg-blue-50');\n selectedOption = index;\n });\n });\n\n submitBtn.addEventListener('click', () => {\n if (selectedOption === null) return;\n\n if (selectedOption === correctOption) {\n feedbackCorrect.classList.remove('hidden');\n feedbackIncorrect.classList.add('hidden');\n } else {\n feedbackIncorrect.classList.remove('hidden');\n feedbackCorrect.classList.add('hidden');\n }\n });",
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{
"slide": 8,
"fragments": [
{
"fragment_index": -1,
"text_description": "Key Takeaways\nThank You!\nWe hope you found this lesson informative and engaging.",
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},
{
"fragment_index": 1,
"text_description": "A polynomial is a sum of terms \\(a x^{n}\\) where \\(n\\) is a whole number.",
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},
{
"fragment_index": 2,
"text_description": "Each term has a coefficient, variable, exponent, and sometimes a constant part.",
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},
{
"fragment_index": 3,
"text_description": "By term count, we label them monomial, binomial, or trinomial.",
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},
{
"fragment_index": 4,
"text_description": "The highest exponent, called degree, classifies polynomials as linear, quadratic, or cubic.",
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{
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