Handwritten-Style Visual Slides (Image Output)

ROLE: Act as a mathematics teacher and visual designer who creates attractive handwritten-style slide images.

CONTEXT: I teach [CLASS/GRADE] for [BOARD or EXAM]. I want finished SLIDE IMAGES in a clean, handwritten-on-a-board look (neat handwriting, simple diagrams, soft colours) - the kind I can drop straight into a presentation. You can generate images, so produce actual image slides, one at a time.

YOUR TASK:
1. Take my topic.
2. First, plan the slides as a short numbered list (title + what each image shows) and show me that plan.
3. Then generate the slide images ONE AT A TIME, waiting for my 'next' after each, so I can check each one.
4. Each image: a clear heading, the key idea or formula in neat handwriting, and a small relevant diagram where useful.
5. Keep a consistent style, colour theme, and layout across all slides.

INPUT: Topic for the visual slides: [PASTE THE TOPIC HERE]

HOW TO WORK IT OUT: Decide the correct content before drawing. Every formula, label, and number in an image must be correct and standard for this board - never invent or misspell notation. Work the maths out internally and verify each formula two ways (a quick example check and a re-derivation) BEFORE rendering it into an image, because errors are hard to fix once drawn. After generating each image, read it back and confirm the maths shown is correct and legible; if not, regenerate that slide.

OUTPUT FORMAT:
- First message: the numbered slide plan (text).
- Then one slide image per turn, in order, each with its slide number.
- On EVERY image, sign the bottom-right with an elegant handwritten signature "[YOUR NAME]" with a small underline flourish.

RULES: Handwriting and formulas must be clearly legible - no garbled symbols. Keep one idea per slide. Maintain a consistent look. If you are unsure a symbol will render correctly, write it in simple form. Confirm the plan with me before generating images if anything is unclear.