Learning Intention: WALT identify number sequences.

Success Criteria:

• I can crack number codes

• I can write equations to explain rule.

Have a look at the following number sequences. Can you solve what number comes next?

1, 1, 2, 3, 5, 8, 13, 21 

1, 4, 9, 16, 25, 36, 49, 64 

1, 3, 6, 10, 15, 21, 28, 36 

1, 5, 12, 22, 35, 51, 70, 92 

BELOW ARE THE FORMULAS FOR EACH OF THE ABOVE SEQUENCES, DON'T SCROLL DOWN UNTILL YOU ARE READY AS A CLASS

🔢 1. Fibonacci Sequence

Each number is the sum of the two previous numbers.

Sequence:
1, 1, 2, 3, 5, 8, 13, 21

🔷 2. Square Numbers

Each number is the square of its position in the sequence (n²).

Sequence:
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64

Sequence:
1, 4, 9, 16, 25, 36, 49, 64

🔺 3. Triangular Numbers

Each number is the sum of all natural numbers up to a certain point:
Tₙ = n(n + 1) ÷ 2

Sequence:
1, 3, 6, 10, 15, 21, 28, 36

🔷 4. Pentagonal Numbers

Each number follows the formula:
Pₙ = (3n² − n) ÷ 2

Sequence:
1, 5, 12, 22, 35, 51, 70, 92

STUDENT TASK

Mystery Number Pattern Game!

1. Create your own number pattern
   
   

   • Think of a rule for your number pattern.
     
     

   • It could be adding the same number each time, doubling, or something else!
     
     

   • Write the first 8 numbers of your pattern on a post-it note.
     
     

2. Pair up with a classmate
   
   

   • Swap your post-it notes.
     
     

   • Look carefully at your partner’s numbers.
     
     

   • Try to figure out their rule or pattern.
     
     

3. Talk about it!
   
   

   • Tell your partner what you think the rule is.
     
     

   • Check if you're right — then they explain the real rule!
     
     

   • Now it’s your partner’s turn to guess your pattern.