Direct Proportions for Grade 10
An animated lesson based on Iran's Grade 10 vocational textbook (Mathematics 1, Lesson 1-1, pages 8-13) introducing direct proportion. Using simple illustrated objects like paper clips and tables, it shows how two quantities increase together at a constant ratio, builds the relationship step by step, and connects it to a graph. Designed in Persian with large readable text for students with weak math backgrounds, it isolates one idea per scene for clarity.
Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy
The prompt that made it
Create a professional educational math animation for Iranian Grade 10 vocational high-school students. SUBJECT: Mathematics 1 — Grade 10 Vocational School Module 1: Ratio and Proportion Lesson 1-1: Direct Proportions (نسبتهای مستقیم) SOURCE AND ACCURACY: Base the lesson on the Iranian textbook “Mathematics 1 – 210141”, specifically the opening material and activities of lesson 1-1, especially pages 8–13. Do NOT invent textbook content. Do NOT introduce advanced mathematics that is not needed for this lesson. Keep the mathematical reasoning accurate and elementary. Clearly distinguish textbook-based content from any supplementary explanation. TARGET: Students around age 15–16 who may have weak mathematical foundations. LANGUAGE: All visible labels, explanations, examples, captions, and narration should be in clear, natural Persian. Use Persian mathematical terminology appropriate for Iranian vocational high schools. Use Persian numerals where visually appropriate. If Persian voice generation is not available, create the video without narration and provide the complete narration script separately. STYLE: Use clean 2D mathematical animation. Use a classroom-friendly visual style. Avoid photorealistic scenes. Use simple illustrated objects, paper clips, tables, arrows, numbers, equations and coordinate graphs. Use large readable Persian text. Never overcrowd the screen. Show one mathematical idea at a time. Use smooth transitions and visual emphasis. Use a calm professional educational tone rather than an entertainment or advertising style. VIDEO LENGTH: Approximately 4–6 minutes. ASPECT RATIO: 16:9. STRUCTURE: SCENE 1 — HOOK Show a real-life measurement situation using two paper clips of different sizes. Ask visually: “اگر یک جسم را با دو گیره متفاوت اندازه بگیریم، چرا عددهای متفاوتی به دست میآید؟” Do not immediately reveal the mathematical rule. Create curiosity. SCENE 2 — THE PAPER-CLIP ACTIVITY Show a small paper clip and a larger paper clip. Represent the activity with: Small clip measurements: 3, 6, 9 Large clip measurements: 2, 4, 6 Build the table visually. Label: x = measurement using the small clip y = measurement using the large clip SCENE 3 — DISCOVER THE PATTERN Calculate visually: y/x = 2/3 y/x = 4/6 = 2/3 y/x = 6/9 = 2/3 Highlight that the value remains constant. Ask: “چه چیزی در همه حالتها ثابت مانده است؟” Then introduce: K = y/x = 2/3 Explain visually that K is the constant factor. SCENE 4 — FROM PATTERN TO FORMULA Transform the table into the equation: y = Kx Then substitute K = 2/3: y = (2/3)x Explain in simple Persian: “وقتی دو مقدار با یک ضریب ثابت به هم مربوط باشند، بین آنها رابطه مستقیم وجود دارد.” Do not present the formula as something to memorize. Show how the formula naturally comes from the constant ratio. SCENE 5 — TABLE → GRAPH Animate the points: (3,2) (6,4) (9,6) Place them on a coordinate plane. Then show the line passing through the points and the origin. Explain: “جدول، نمودار و رابطه جبری، سه راه برای نمایش یک الگوی یکسان هستند.” Keep the graph mathematically accurate. SCENE 6 — IMPORTANT MISCONCEPTION Show two quantities increasing together. Then put a warning symbol beside: “فقط زیاد شدن همزمان دو مقدار، به معنی رابطه مستقیم نیست.” Then show: “باید ضریب ثابت وجود داشته باشد.” This is an important conceptual teaching point. SCENE 7 — UNIT CONVERSION Introduce the textbook idea of conversion factor. Show: 1 meter = 100 centimeters Then animate: 250 centimeters × 1/100 = 2.5 meters Explain that the direction of conversion determines the conversion factor. Keep this section short and concrete. SCENE 8 — SYRUP APPLICATION Create a simple visual of syrup and water. Show: 2 cups concentrated syrup → 5 cups water Then ask: 6 cups concentrated syrup → ? Animate the reasoning: 2 : 5 = 6 : x Then: x = (6 × 5) / 2 x = 15 Show the final answer clearly: 15 cups of water Emphasize that this is an application of a constant ratio. SCENE 9 — INTERACTIVE QUESTIONS Pause after each question for students to think. Question 1: “If x = 12 and y = (2/3)x, what is y?” Question 2: “Is simultaneous increase enough to prove direct proportion?” Question 3: “What is K in the paper-clip example?” Do not show the answers immediately. After a short pause, reveal: 1) y = 8 2) No 3) K = 2/3 SCENE 10 — FINAL SUMMARY Create a visual flow: Comparison ↓ Ratio ↓ Constant factor K ↓ Direct relationship ↓ y = Kx ↓ Table / Graph / Application Final message in Persian: “رابطه مستقیم یعنی بین دو مقدار یک ضریب ثابت وجود داشته باشد.” End with: “ریاضی فقط فرمول نیست؛ الگو را پیدا کن، رابطه را بفهم، سپس فرمول را بنویس.” IMPORTANT VISUAL RULES: - Never display more than 2–3 mathematical ideas simultaneously. - All equations must be mathematically correct. - Keep equations large. - Do not use decorative graphics that distract from the mathematics. - Do not use complex animations unrelated to the concept. - Make the paper clips, table, graph, equa
Make the next one in this series
- Create the next animation on inverse proportions comparing them visually to direct proportions
- Show worked examples from page 13 solving direct proportion word problems step by step
- Illustrate how the constant of proportionality k appears in the equation y equals kx and its graph
