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🌀 Claude

Smart Education Aeo Optimizer

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CLAUDE-3-5-SONNET
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A powerful tool to transform your educational content into perfect answers for Google's featured snippets, answer boxes, and voice search results. Made for teachers, educational content creators, and online learning platforms. 🎯 What You'll Get - Answer-optimized lesson structures - Featured snippet-ready explanations - Step-by-step tutorials formatted for search AND MORE ...
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After purchasing, you will gain access to the prompt file which you can use with Claude or the app builder. You'll receive 20 free generation credits with this purchase. By purchasing this prompt, you agree to our terms of service.
2 weeks ago
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Prompt Details

Model
(claude-3-5-sonnet)
Token size
447
Example input
[Subject/Topic]: Quadratic Functions [Grade/Level]: High School (Grade 10) [Main objective]: Students should be able to graph quadratic functions and identify key features [Choose: Concept/Tutorial/Problem-Solving/Reference]: Tutorial
Example output
I'll help optimize educational content about quadratic functions for both search engines and student comprehension. 1. Primary Answer Block "A quadratic function is a polynomial function of degree 2, written in the form f(x) = ax² + bx + c, where a ≠ 0. When graphed, it creates a U-shaped curve called a parabola. The key features include the vertex (highest or lowest point), axis of symmetry, y-intercept, and x-intercepts (roots)." 2. Supporting Content Key Definitions: - Vertex: The highest or lowest point of the parabola - Axis of symmetry: The vertical line that divides the parabola into mirror images - Y-intercept: Where the parabola crosses the y-axis (when x = 0) - X-intercepts/roots: Where the parabola crosses the x-axis (when y = 0) - Opening: Direction the parabola opens (up when a > 0, down when a < 0) Step-by-Step Process for Graphing: 1. Identify the coefficient 'a' to determine opening direction 2. Find the vertex using: x = -b/(2a) and y = f(-b/(2a)) 3. Draw the axis of symmetry through the vertex 4. Plot the y-intercept at (0, c) 5. Find x-intercepts using quadratic formula if needed 6. Plot additional points symmetrically around vertex 7. Connect points with a smooth curve Common Questions: Q: How do you find the vertex? A: Use x = -b/(2a) to find x-coordinate, then plug into original equation for y-coordinate Q: How do you know which way the parabola opens? A: If a > 0, opens up; if a < 0, opens down Q: What determines how wide or narrow the parabola is? A: The absolute value of 'a' - larger values make narrower parabolas Example Problems: 1. Graph f(x) = x² - 4x + 3 2. Find the vertex of g(x) = -2x² + 8x - 7 3. Determine key features of h(x) = ½x² - 2x + 1 Practice Templates: - Function analysis worksheet template - Graph sketching guide - Key features identification checklist - Real-world application problems 3. Implementation Notes Teaching Tips: - Start with simple parabolas (a = 1) before introducing more complex coefficients - Use graphing technology to visualize transformations - Connect to real-world examples (projectile motion, optimization problems) - Build from linear functions knowledge - Emphasize connection between algebraic and geometric representations Visual Suggestions: - Color-coded graphs showing different features - Interactive sliders demonstrating coefficient effects - Step-by-step graphing animations - Side-by-side comparison of different forms (standard, vertex, factored) Assessment Ideas: - Multiple choice questions targeting common misconceptions - Graphing tasks with explanation requirements - Mixed format quizzes (analytical and visual) - Real-world application problems - Error analysis tasks Extension Activities: 1. Projectile motion modeling 2. Optimization problems 3. Connections to quadratic sequences 4. Technology-based exploration projects 5. Cross-disciplinary applications (physics, economics) This content structure optimizes for both search engines and learning by: - Using clear, direct language for featured snippets - Breaking down complex concepts into digestible steps - Addressing common questions directly - Providing varied practice opportunities - Including multiple representation types - Supporting different learning styles - Building conceptual understanding progressively Would you like me to expand on any particular aspect or provide more specific examples for any section?
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