English

Shapes mein patterns

Class 6 Maths · Chapter 1: Patterns in Mathematics · NCERT Ganita Prakash section 1.5

Seekho

Patterns sirf numbers mein nahi hote. Shapes bhi ek rule se badh sakti hain. Maths ka jo hissa shapes padhta hai use geometry kehte hain. Ye rahe kuch shape sequences.

Regular polygons: triangle, quadrilateral, pentagon, hexagon, phir heptagon, octagon, nonagon, decagon … 'Regular' ka matlab saari sides barabar lambi aur saare corners ek jaise.

Complete graphs: kuch points lo aur har point ko baaki har point se jodo. K2 mein 2 points, K3 mein 3, K4 mein 4 …

Stacked squares: ek bada square chhote barabar squares mein kata hua: 1, phir 2 by 2, phir 3 by 3 …

Stacked triangles: ek bada triangle chhote barabar triangles mein kata hua, har baar ek line zyada.

Koch snowflake: ek triangle se shuru karo. Har step par har seedhi line ke beech mein ek 'speed bump' lagta hai. Badlaav chhote aur chhote hote jaate hain.

Explore: regular polygons aur complete graphs banao. Dekho sides aur lines kaise badhti hain.

  1. Hexagon banao.
  2. 8 sides wala polygon banao. Iska naam kya hai?
  3. Points jodo (har ek ko baaki sab se) taaki theek 10 lines banein.

Yaad rakho

  • Geometry maths ka wo hissa hai jo shapes padhta hai.
  • Shape sequences: regular polygons, complete graphs, stacked squares, stacked triangles, Koch snowflake.

Quick check

Regular Polygons sequence mein hexagon ke baad kaunsi shape aati hai?

  1. Pentagon
  2. Heptagon
  3. Octagon
  4. Decagon
Answer

Heptagon. Hexagon ki 6 sides hain, to agli shape ki 7 sides: heptagon.

Socho

Ek shape sequence aise chalta hai: triangle, square, pentagon, … 7th shape kya hai, aur uski kitni sides hain?

Ek answer

Har shape mein pichhli se ek side zyada hai, 3 se shuru. 7th shape ki 3 + 6 = 9 sides hain: nonagon.

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.