Patterns
ICSE · Class 5 · Mathematics
Quick revision notes for Patterns — ICSE Class 5 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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Key Topics to Revise
1. Types of Patterns
- A pattern is a repeated arrangement of shapes, numbers, letters, or designs following a rule.
- There are three main types: Number Patterns, Geometrical Patterns, and Letter Patterns.
- Number patterns follow mathematical rules like adding or multiplying.
2. Triangular Number Patterns
- Triangular numbers are formed by arranging dots in the shape of a triangle.
- Each row has one more dot than the row above.
- The total number of dots is the sum of natural numbers from 1 to n.
3. Square Number Patterns
- Square numbers are formed by arranging dots in a square grid.
- Each side of the square has the same number of dots.
- The total number of dots is the square of the number of dots per side.
4. Growing and Reducing Patterns
- Growing patterns increase by a fixed amount each time (e.g., +5, +10).
- Reducing patterns decrease by a fixed amount (e.g., -3, -7).
- Rules can be found by subtracting consecutive terms.
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