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[
{
"slide": 1,
"fragments": [
{
"fragment_index": 1,
"text_description": "What Is a Polynomial?",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Polynomial",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "A polynomial is an algebraic expression formed by adding or subtracting terms, where each term is a constant multiplied by a variable raised to a non-negative whole-number power. Example: \\(4x^{3} - 2x + 7\\).",
"image_description": ""
}
]
},
{
"slide": 2,
"fragments": [
{
"fragment_index": 1,
"text_description": "Parts of a Polynomial",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Polynomial Components\nA polynomial is built from separate terms. Each term combines a coefficient, a variable, and a whole-number exponent.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Key Characteristics:\nTerms:\n\\(5x^{2},\\,-3x,\\,8\\) — parts added or subtracted.\nCoefficients:\n\\(5,\\,-3,\\,8\\) — numbers in front of the variable.\nVariable:\n\\(x\\) — symbol that can change value.\nExponents:\n\\(2\\) and \\(1\\) — whole numbers showing repeated multiplication.",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "Example:\nIn \\(5x^{2}-3x+8\\), you can now point out every term, coefficient, variable, and exponent.",
"image_description": ""
}
]
},
{
"slide": 3,
"fragments": [
{
"fragment_index": -1,
"text_description": "Finding the Degree",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "1\nCheck Exponents\nWrite down the exponent of each term.",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "2\nFind the Highest\nPick the largest exponent you see.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "3\nState the Degree\nThat highest exponent is the polynomial's degree.",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "Pro Tip:\nExample: For \\(7x^3 + 4x^2 - x\\), the highest exponent is 3, so the degree is 3.",
"image_description": ""
}
]
},
{
"slide": 4,
"fragments": [
{
"fragment_index": -1,
"text_description": "Common Types\nBased on degree",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "Linear (1st degree)\nHighest power is 1; e.g., \\(2x + 5\\).",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Quadratic (2nd degree)\nHighest power is 2; e.g., \\(x^{2} - 4x + 3\\).",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Cubic (3rd degree)\nHighest power is 3; e.g., \\(-x^{3} + 6\\).",
"image_description": ""
}
]
},
{
"slide": 5,
"fragments": [
{
"fragment_index": 1,
"text_description": "Is it a Polynomial?",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Drag each expression to the right bucket to practise classification.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "Draggable Items\n\\(3x^2 + 1\\)\n\\(\\frac{2}{x}\\)\n\\(5y - 4\\)\n\\(\\sqrt{x} + 7\\)",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "Drop Zones\nPolynomial ✔️\nNot a Polynomial ❌",
"image_description": ""
},
{
"fragment_index": 5,
"text_description": "Tip:\nA polynomial uses only +, −, × with variables raised to whole-number powers. Roots or variables in denominators break the rule.",
"image_description": ""
},
{
"fragment_index": 6,
"text_description": "Check Answers",
"image_description": ""
},
{
"fragment_index": -1,
"text_description": "Results\nconst 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 checkAnswersBtn.addEventListener('click', () => {\n feedbackArea.classList.remove('hidden');\n feedbackContent.innerHTML = '<p class=\"text-green-600\">Answers checked! Review your results above.</p>';\n });",
"image_description": ""
}
]
},
{
"slide": 6,
"fragments": []
},
{
"slide": 7,
"fragments": [
{
"fragment_index": -1,
"text_description": "Key Takeaways\nThank You!\nWe hope you found this lesson informative and engaging.",
"image_description": ""
},
{
"fragment_index": 1,
"text_description": "A polynomial is a sum of terms with non-negative integer exponents.",
"image_description": ""
},
{
"fragment_index": 2,
"text_description": "Each term has a coefficient, a variable, and an exponent.",
"image_description": ""
},
{
"fragment_index": 3,
"text_description": "The degree of a polynomial is its highest exponent.",
"image_description": ""
},
{
"fragment_index": 4,
"text_description": "Common types: linear (degree 1), quadratic (2), cubic (3).",
"image_description": ""
},
{
"fragment_index": 5,
"text_description": "Variables cannot be in denominators or under roots.",
"image_description": ""
}
]
}
]