Create one continuous, visually engaging Grade 6 mathematics lesson with integrated narration. Use number lines, treasure markers, factor-pair cards, and accurate factor trees. Begin with the treasure-jump idea: a jump size must land exactly on a target. Use 12 and 26 to show jump size 2 reaches both, so this pair is not co-prime. Use 4 and 9 to show no jump size greater than 1 reaches both; their only common factor is 1, so they are co-prime. State the definition precisely: two numbers are co-prime if they have no common factor other than 1. Then present 56 and 63 as a reasoning trap. Show 56 = 14 × 4 and 63 = 21 × 3, and explain that checking only these pairs is not enough to prove co-primality. Build prime factor trees accurately: 56 = 2 × 2 × 2 × 7 and 63 = 3 × 3 × 7. Highlight 7 in both; they are not co-prime. Next, show 80 = 2 × 2 × 2 × 2 × 5 and 63 = 3 × 3 × 7. No prime factor is shared, so they are co-prime. Briefly connect prime factorisation to divisibility: for 42 = 2 × 3 × 7 and 12 = 2 × 2 × 3, the factor 2 occurs twice in 12 but only once in 42, so 42 is not divisible by 12. Keep each equation on screen long enough to read. End with a learner pause: “Are 30 and 45 co-prime? Compare their prime factors.” Reveal that both share 3 and 5, so they are not co-prime. Narration should be generated with the animation if supported; if the tool cannot generate usable audio, preserve the narration as written in this prompt and use the supported voice workflow without changing the wording. Do not repeat the Flow Veo dialogue.
6. Core narration reference (QA only)
This is the exact narration already embedded in the TomoMotion master prompt. Use it to check pronunciation, completeness and synchronization—not as a second competing script.
“In the treasure game, a jump size works when it lands exactly on a treasure number.”
“Consider 12 and 26. A jump size of 2 reaches both numbers, so they share a factor greater than 1. They are not co-prime.”
“Now consider 4 and 9. Their only common factor is 1. They are co-prime. Two numbers are co-prime when they have no common factor other than 1.”
“But how can we check this systematically? Let’s use prime factorisation.”
“Sometimes one factor pair hides a common factor. For 56, we can write 14 times 4. For 63, we can write 21 times 3. These pairs alone do not tell us every factor.”
“Break each number down into primes. 56 equals 2 times 2 times 2 times 7. 63 equals 3 times 3 times 7. Both contain 7, so they are not co-prime.”
“Compare 80 and 63. The prime factors of 80 are 2 and 5. The prime factors of 63 are 3 and 7. There is no common prime factor, so these numbers are co-prime.”
“Prime factorisation can also help us check divisibility. Twelve needs two factors of 2, but 42 has only one factor of 2. Therefore, 42 is not divisible by 12.”
“Your turn: 30 equals 2 times 3 times 5, and 45 equals 3 times 3 times 5. They share 3 and 5, so they are not co-prime.”
