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[
{
"slide": 1,
"fragments": [
{
"fragment_index": -1,
"text_description": "Let’s Talk Polynomials\nDiscover the shapes and secrets hidden in every equation.",
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]
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{
"slide": 2,
"fragments": [
{
"fragment_index": -1,
"text_description": "What Is a Polynomial?",
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},
{
"fragment_index": 1,
"text_description": "Polynomial",
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},
{
"fragment_index": 2,
"text_description": "A polynomial is an algebraic expression with terms added or subtracted. Each term equals a coefficient multiplied by the variable raised to a whole-number exponent.",
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{
"fragment_index": 3,
"text_description": "Can you spot the coefficient, variable, and exponent in \\(3x^{2}+2x-5\\)?",
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]
},
{
"slide": 3,
"fragments": [
{
"fragment_index": -1,
"text_description": "Parts of a Polynomial\nMeet the five key components\nA polynomial is built from five parts. Know each name to read any expression.\nNotice how each arrow points to one part. Keep these names handy—they appear often!",
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"text_description": "Key Points:\nVariable – the letter that can change, e.g., \\(x\\).\nCoefficient – number multiplying the variable, e.g., \\(3\\) in \\(3x^{2}\\).\nExponent – small raised number, e.g., \\(2\\) in \\(x^{2}\\).\nOperator – plus or minus sign linking terms, e.g., \\(+\\) in \\(3x + 5\\).\nConstant – term without a variable, e.g., \\(5\\).",
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{
"slide": 4,
"fragments": [
{
"fragment_index": -1,
"text_description": "Types by Terms",
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"text_description": "",
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"fragment_index": 2,
"text_description": "Count the unlike terms\nFirst, split any polynomial into its unlike terms.\nThe number you count decides its type.\nKey Points:\nMonomial – 1 unlike term\nBinomial – 2 unlike terms\nTrinomial – 3 unlike terms",
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},
{
"slide": 5,
"fragments": [
{
"fragment_index": 1,
"text_description": "Sort the Expressions!",
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},
{
"fragment_index": 2,
"text_description": "Drag each algebraic expression into the Monomial, Binomial, or Trinomial bucket.",
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},
{
"fragment_index": -1,
"text_description": "Draggable Items\n7y\n4\n5a + 3\nx − 2y\nx² + 3x + 1\nDrop Zones\nMonomial\nBinomial\nTrinomial\nTip:\nNeed a hint? Count the plus and minus signs.\nCheck My Sorting\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 // Drag and drop event listeners\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 // Implementation for checking answers would go here\n feedbackArea.classList.remove('hidden');\n feedbackContent.innerHTML = '<p class=\"text-green-600\">Answers checked! Review your results above.</p>';\n });",
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{
"slide": 6,
"fragments": [
{
"fragment_index": -1,
"text_description": "Degree of a Polynomial",
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},
{
"fragment_index": 1,
"text_description": "Degree",
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},
{
"fragment_index": 2,
"text_description": "The degree is the highest exponent of the variable. In \\(3x^3 - 2x^2 + 5\\), the largest exponent is \\(3\\); therefore, it is cubic (degree 3).\nQuick check: What is the degree of \\(6x^2 - x + 9\\)?",
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},
{
"slide": 7,
"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": "Polynomial: sum or difference of terms with whole-number exponents.",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Each term = coefficient × variable\nexponent\n.",
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},
{
"fragment_index": 3,
"text_description": "By terms: monomial (1), binomial (2), trinomial (3).",
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},
{
"fragment_index": 4,
"text_description": "Degree equals the greatest exponent present.",
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},
{
"fragment_index": 5,
"text_description": "Next Steps\nPractice more examples to cement the idea!",
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}
]
}
]