Fibonacci Sequences Worksheet - Examples

State the rule that generates the Fibonacci sequence (each number is the sum of the previous two)

Continue a Fibonacci sequence by filling in a spiral diagram in the correct numerical order

Identify real-world examples where the Fibonacci sequence appears

Have students verify the hand example on their own hands (one thumb, two thumb bones, three finger bones, five digits, eight fingers) as a hands-on check of the pattern before they complete the spiral.

Review the addition rule (1+1=2, 1+2=3, 2+3=5...) explicitly before assigning the spiral, since the spiral task depends on correctly continuing that rule.

Number-pattern generation — students apply the rule 'add the previous two numbers' to continue the Fibonacci sequence up to 34.

Pattern recognition in context — students connect the abstract sequence to concrete examples in nature and the human hand.