NCERT Mathematics Class 2 - Chapter 5: Patterns - Notes

पैटर्न

Learning Objectives

  • Identify and extend repeating patterns
  • Create patterns using shapes, numbers, and colours
  • Recognise growing patterns in numbers
  • Find patterns in the addition table
  • Identify symmetry in simple shapes and objects

Key Concepts

Repeating Patterns

A repeating pattern has a group of items that keeps coming back in the same order. For example: star, moon, star, moon, star, moon. The part that repeats is "star, moon." We can find what comes next by looking at the repeating part. After star comes moon, then star again.

Growing Patterns

A growing pattern gets bigger each time. For example: 2, 4, 6, 8 grows by 2 each time. The pattern 5, 10, 15, 20 grows by 5 each time. The pattern 1, 3, 5, 7 grows by 2 each time. To find the next number, we add the same amount each time.

Number Patterns

Numbers have many interesting patterns. Even numbers: 2, 4, 6, 8, 10. Odd numbers: 1, 3, 5, 7, 9. Counting backwards: 20, 18, 16, 14, 12. We can also see patterns when we add: 1+9=10, 2+8=10, 3+7=10, 4+6=10, 5+5=10. All these pairs add up to 10.

Shape Patterns

We can make patterns with shapes. For example: circle, circle, square, circle, circle, square. The repeating block is "circle, circle, square." We can use different sizes too: small, big, small, big. We can combine shapes and sizes to make interesting patterns.

Patterns Around Us

Patterns are everywhere. Floor tiles often have a pattern. A zebra has black and white stripe patterns. Flowers have patterns in their petals. The days of the week repeat in a pattern. Even music has patterns of beats and sounds.

Important Terms

  • Repeating pattern: A pattern where the same group keeps coming again and again
  • Growing pattern: A pattern where numbers get bigger by the same amount
  • Even numbers: Numbers that can be divided into pairs: 2, 4, 6, 8, 10
  • Odd numbers: Numbers that cannot be divided into equal pairs: 1, 3, 5, 7, 9
  • Symmetry: When two halves of something look the same

Quick Revision

  • A repeating pattern has the same block coming again and again
  • A growing pattern increases by the same amount each time
  • Even numbers: 2, 4, 6, 8, 10; Odd numbers: 1, 3, 5, 7, 9
  • Patterns can be made with shapes, colours, numbers, or objects
  • Finding the repeating block helps us know what comes next
  • Look for patterns in nature, tiles, and number charts