Create one continuous, polished Grade 6 mathematics teaching animation for Section 5.6, “Fun with Numbers,” titled "
"“Sana’s Number Detective — Special Numbers & the Prime Product Puzzle.” Use clean, accurate mathematical visuals, "
"large readable number cards, a light background, restrained teal/coral/amber accents, smooth transitions and short "
"thinking pauses. This is a single connected lesson, not separate disconnected clips. Sana’s character-led dialogue "
"belongs only in the Flow Veo intro/outro; the core lesson uses the narration below. If this TomoMotion mode supports "
"narration/audio, generate the narration as written with a clear, friendly, age-appropriate voice. If it does not, retain "
"this exact narration for the supported voice workflow. Do not invent or paraphrase the mathematics. Keep all equations "
"and grid values exactly correct.
SEQUENCE 1 — WHAT MAKES A NUMBER SPECIAL?
Show four large cards: 9, 16, 25, 43.
Narration: “Look at these four numbers: 9, 16, 25 and 43. Which one looks special to you? Pause and think. There may be more than one valid answer. A number can stand out for different mathematical reasons.”
Visually hold for a brief thinking pause. Do not reveal one single “correct” special number.
SEQUENCE 2 — FIND THE PROPERTIES
For 9, show 9 = 3 × 3, label “perfect square,” “multiple of 3,” and “single-digit number.”
Narration: “Nine is a single-digit number. It is also a multiple of three and a perfect square, because three times three equals nine.”
For 16, show 16 = 4 × 4, label “perfect square,” “even,” and “multiple of 4.”
Narration: “Sixteen is even, it is a multiple of four, and it is a perfect square.”
For 25, show 25 = 5 × 5, label “perfect square” and “multiple of 5.”
Narration: “Twenty-five is a perfect square and a multiple of five.”
For 43, show the factor pair 1 × 43 and label “prime” and “not a perfect square.”
Narration: “Forty-three has no factor pair other than one and forty-three, so it is prime. It is not a perfect square.”
Bring all four cards back together.
Narration: “So, which number is special? Different answers can be valid when we give a correct mathematical reason. The important skill is to notice a property, compare it with the others, and explain our thinking.”
SEQUENCE 3 — A NEW NUMBER HUNT
Show: 5 | 7 | 12 | 35.
Narration: “Now investigate five, seven, twelve and thirty-five. Five is prime and a multiple of five. Seven is prime. Twelve is even and a multiple of three and four. Thirty-five is a multiple of five and is composite. Can you find another valid property for any of these numbers?”
Keep a short thinking pause. Show the method card: NOTICE → FIND A PROPERTY → COMPARE → EXPLAIN.
Narration: “A number detective notices a property, compares it with the other numbers, and explains the reason.”
SEQUENCE 4 — THE PRIME PRODUCT PUZZLE
Transition from number cards to a clear empty 3 by 3 grid. Put row targets at the right and column targets underneath:
Row targets: 75, 42, 102.
Column targets: 170, 30, 63.
Narration: “Now let’s use prime numbers to solve a different kind of puzzle. Fill every box with a prime number. The product of each row must equal the number on its right, and the product of each column must equal the number below it. Both rules must work.”
SEQUENCE 5 — DECODE AND ARRANGE
Highlight 75. Show 75 = 3 × 5 × 5.
Narration: “Seventy-five breaks into the prime factors three, five and five. Those are the three numbers we need in the first row, but their positions matter.”
Briefly show the trial arrangement 3 | 5 | 5 and check the first column with the known completed values 2 and 17: 3 × 2 × 17 = 102, which does not match 170. Mark this arrangement as a failed attempt.
Narration: “The row product is correct, but the first column gives one hundred and two, not one hundred and seventy. So we must rearrange the factors.”
Rearrange first row to 5 | 5 | 3. Show 5 × 2 × 17 = 170.
Narration: “Now five times two times seventeen equals one hundred and seventy. The first column works.”
Fill the second row: 2 | 3 | 7, with 42 = 2 × 3 × 7.
Narration: “Forty-two is two times three times seven, so those primes fill the second row.”
Fill the third row: 17 | 2 | 3, with 102 = 2 × 3 × 17.
Narration: “One hundred and two is two times three times seventeen. Arrange them as seventeen, two and three to satisfy the column targets.”
SEQUENCE 6 — CHECK EVERY ROW AND COLUMN
Show the completed grid exactly:
5 | 5 | 3 → 75
2 | 3 | 7 → 42
17 | 2 | 3 → 102
Bottom targets: 170 | 30 | 63.
Narration: “Check every row: five times five times three equals seventy-five. Two times three times seven equals forty-two. Seventeen times two times three equals one hundred and two.”
Then highlight columns one at a time:
5 × 2 × 17 = 170
5 × 3 × 2 = 30
3 × 7 × 3 = 63
Narration: “Now check the columns. Five times two times seventeen equals one hundred and seventy. Five times three times two equals thirty. Three times seven times three equals sixty-three. Every row and every column works, and every number in the grid is prime.”
Show a satisfying but restrained success animation.
SEQUENCE 7 — THINK AND RECAP
Show a new target 105 and the factorisation 105 = 3 × 5 × 7.
Narration: “Quick think: if a row target is one hundred and five, which three prime numbers must appear in that row? Three, five and seven. Their positions still depend on the column targets.”
End on a concise recap card:
• A number may be special for more than one valid reason.
• Prime factors help decode a product target.
• Arrange factors to satisfy the row and column targets.
• Always check every row AND every column.
Narration: “Remember: notice the property, explain your reason, decode the prime factors, arrange them carefully, and check every row and column.”
Mathematical accuracy is essential. The solved grid must be:
5 | 5 | 3 → 75
2 | 3 | 7 → 42
17 | 2 | 3 → 102
Column products: 170, 30, 63.
Do not change these values. Do not turn this into a long lecture on prime factorisation; use factorisation only as needed for the puzzle. Do not introduce extra characters. Do not use the banned source name in narration, captions, visual text, prompts or end screens.
