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Mathable Smart Lab

CLASS VII • NUMBER SENSE Topic: Number Patterns and Play

Class VII: Number Play

Explore Fibonacci numbers, number sequences, pattern rules, triangular numbers, square numbers, and playful investigations.

Fact Sheet: Number Play

Number play is about noticing patterns, predicting what comes next, and explaining why the rule works.

Fibonacci Pattern: Each number is the sum of the two numbers before it.
3776109871597??
Next numbers: 987 + 1597 = 2584, then 1597 + 2584 = 4181.
Big Idea: A good pattern answer includes both the next number and the rule used to get it.

Pattern Hub

Fibonacci Sequence

Next term = previous term + term before that.

Example: 8, 13, 21, 34...

Arithmetic Pattern

Add or subtract the same number each time.

Example: 7, 12, 17, 22...

Geometric Pattern

Multiply or divide by the same number each time.

Example: 3, 6, 12, 24...

Square Numbers

n² = n × n.

1, 4, 9, 16, 25...

Triangular Numbers

1, 3, 6, 10, 15...

Add 1, then 2, then 3...

Pattern Detective Rule

Look at differences, ratios, or sums of earlier terms.

Online Lab: Pattern Detective

Score: 0Current Streak: 🔥 0Badge: Pattern Starter


Activity Zone

🌀 Fibonacci Builder

Choose two starting numbers and build the next terms.

🔍 Guess the Rule

🔺 Triangular Number Builder

Build triangular dot patterns.

T₅ = 15

⬛ Square Number Builder

Build square dot patterns.

4² = 16

⚖️ Sequence Comparison

Which sequence grows faster after 6 steps?

2, 4, 6, 8...
2, 4, 8, 16...

📋 Pattern Table Generator

Worksheet Generator

Generate practice on Fibonacci, arithmetic patterns, geometric patterns, triangular numbers, and square numbers.



Real-World Use

Nature: Fibonacci patterns appear in sunflower spirals, pinecones, and leaf arrangements.
Savings: Arithmetic patterns help track fixed monthly savings.
Population and Sharing: Geometric patterns model repeated doubling or tripling.

🌍 Real-Life Case Generator

Teacher Tools

Learning Outcomes

  • Recognize and extend Fibonacci-like sequences.
  • Identify arithmetic and geometric pattern rules.
  • Represent triangular and square numbers visually.
  • Explain the rule behind a number pattern.
  • Compare how different sequences grow.

Exit Ticket Prompts

  • Find the next two terms: 5, 8, 13, 21, ...
  • How do you know whether a pattern is arithmetic?
  • Draw the 5th triangular number and write its value.