Create six consecutive 10-second scenes (scenes 7–12) as a continuation of an existing educational cartoon video for Iranian 8th-grade mathematics, Chapter 1: Rational Numbers.
MAIN CHARACTER:
Use the exact same reference image of Ms. Goya from the previous scenes. She is a cute 3D cartoon fraction character with a red upper body, blue lower body, large pink glasses, a pink bow, a floral pink scarf, white gloves, and pink sneakers. Preserve her exact appearance, proportions, accessories, and personality in every scene.
STYLE AND LANGUAGE:
High-quality 3D cartoon animation in the same colorful classroom. Use a friendly Iranian Persian female teacher's voice, clear pronunciation, accurate mathematical notation, and mouth movements synchronized with speech. All spoken dialogue must be in Persian. Use visual examples to make each operation easy for eighth-grade students to understand.
SCENE 7 — ADDING RATIONAL NUMBERS:
Ms. Goya writes the following example on the blackboard:
1/4 + 2/4 = 3/4
She shows a rectangle divided into four equal parts. One part is shaded in pink, then two more parts are shaded in blue, making three shaded parts out of four.
Persian dialogue:
«برای جمع کسرهایی که مخرجشون یکیه، صورت‌ها رو جمع می‌کنیم و مخرج رو همون‌طور نگه می‌داریم. یک‌چهارم به‌علاوهٔ دوچهارم می‌شه سه‌چهارم!»
Transition: Ms. Goya changes the plus sign on the board to a minus sign.
SCENE 8 — SUBTRACTING RATIONAL NUMBERS:
Ms. Goya writes:
3/4 − 1/4 = 2/4 = 1/2
She displays a rectangle with three out of four equal parts shaded, then removes one shaded part to leave two out of four parts. Finally, she shows that 2/4 simplifies to 1/2.
Persian dialogue:
«برای تفریق کسرهایی با مخرج یکسان، صورت‌ها رو از هم کم می‌کنیم و مخرج رو نگه می‌داریم. سه‌چهارم منهای یک‌چهارم می‌شه دوچهارم، یعنی یک‌دوم!»
Make sure the visual subtraction and the final simplification are correct.
SCENE 9 — MULTIPLYING RATIONAL NUMBERS:
Ms. Goya writes:
2/3 × 3/5 = 6/15 = 2/5
She points to the numerators and demonstrates multiplying 2 × 3 = 6, then points to the denominators and demonstrates 3 × 5 = 15. She then simplifies 6/15 to 2/5.
Persian dialogue:
«برای ضرب کسرها، صورت‌ها رو در هم و مخرج‌ها رو هم در هم ضرب می‌کنیم. دو‌سوم ضرب‌در سه‌پنجم می‌شه شش‌پانزدهم؟ نه! شش‌پانزدهم نیست؛ شش‌پانزدهم یعنی شش بر پانزده. پس جواب ما شش‌پانزدهمه که ساده می‌شه دوپنجم!»
IMPORTANT MATHEMATICAL CORRECTION:
The result must be displayed as 6/15, read in Persian as «شش‌پانزدهم» only if the intended fraction is six fifteenths? Instead, use the mathematically correct Persian reading «شش‌پانزدهم» for 6/15 only if clearly explained as six over fifteen. Ensure the written result is 6/15 = 2/5.
SCENE 10 — DIVIDING RATIONAL NUMBERS:
Ms. Goya writes:
2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6
She draws an arrow showing that division by a fraction becomes multiplication by its reciprocal. She flips 4/5 to 5/4, then multiplies and simplifies.
Persian dialogue:
«برای تقسیم کسرها، کسر اول رو نگه می‌داریم، تقسیم رو به ضرب تبدیل می‌کنیم و کسر دوم رو معکوس می‌کنیم. دو‌سوم تقسیم بر چهارپنجم می‌شه پنج‌ششم!»
Make the reciprocal transformation visually clear and show the correct final answer 5/6.
SCENE 11 — ORDER OF OPERATIONS:
Ms. Goya writes the expression:
2 + 3 × 4
She first highlights multiplication and solves 3 × 4 = 12, then adds 2 to get 14. Next, she displays:
(2 + 3) × 4 = 20
She highlights the parentheses and explains that parentheses are evaluated first.
Persian dialogue:
«توی عبارت‌های ریاضی، اول پرانتز رو حساب می‌کنیم؛ بعد ضرب و تقسیم رو از چپ به راست، و در آخر جمع و تفریق رو از چپ به راست انجام می‌دیم. پس دو به‌علاوهٔ سه‌ضرب‌در چهار می‌شه چهارده!»
Keep the two examples visually distinct and show that the parentheses change the result.
SCENE 12 — COMBINED OPERATIONS CHALLENGE:
Ms. Goya presents this expression on the blackboard:
1/2 + 1/3 × 3/4
She highlights the multiplication first and shows:
1/3 × 3/4 = 3/12 = 1/4
Then she shows:
1/2 + 1/4 = 3/4
The final answer must be clearly displayed as 3/4.
Persian dialogue:
«حالا یه سؤال ترکیبی! یادتون باشه اول ضرب رو انجام می‌دیم. یک‌سومضرب‌در سه‌چهارم می‌شه یک‌چهارم؛ بعد با یک‌دوم جمعش می‌کنیم و جواب می‌شه سه‌چهارم!»
CONTINUITY:
Scene 12 is an intermediate scene, not the end of the video. Ms. Goya points toward a new exercise on the blackboard, ready to continue the lesson in scene 13. Do not include a goodbye, credits, end card, or fade to black.
Keep all formulas mathematically accurate, use natural Iranian Persian, and preserve the exact same character design across all six scenes.
