Shapes Around Us – Class 4 Maths Chapter 1 Notes & NCERT PDF

Class 4MathematicsChapter 1NCERT book: Maths Mela - Class 4

Notes and a simple summary of Chapter 1 of the NCERT Class 4 Mathematics book, with the official chapter PDF, flashcards, an MCQ quiz and an AI tutor for your doubts.

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Chapter 1: Shapes Around Us

Introduction

Diksha visits Delhi with her father and sees monuments such as India Gate, Qutub Minar, Safdarjung Tomb, Akshardham, the National Museum, Jantar Mantar and Sansad Bhawan. Back home she tries to build India Gate with wooden blocks. This chapter starts from that idea: the buildings and objects around us are made of simple 3D and 2D shapes, and we can study those shapes by building, folding, sorting and drawing them.

What's in this Chapter

  • Building models: Children build models of buildings with blocks, boxes, bottles, cans and coconut shells, and discuss which parts (roof, pillars, base) they showed and which shapes model them well. The book tells us the Qutub Minar is a World Heritage site, the tallest building made of bricks, with 5 storeys and 379 stairs.
  • Nets: Diksha opens and flattens a box. The flat shape is called the net of the box; folding along the dotted lines gives the box back. Children use nets at the end of the book to make prisms (triangular, square, pentagonal, hexagonal) and pyramids (triangular, square, pentagonal).
  • Faces, corners and edges: Using straws and plasticine, children count faces (F), corners (V) and edges (E) of a cube, cuboid, triangular pyramid, square pyramid and triangular prism, and calculate F + V – E for each.
  • The die and the cube: On a die, 6 is opposite 1. Children find the faces opposite 2, 3 and 4, and which faces share an edge with face 1.
  • Sorting 3D shapes: Shapes are sorted using circles (Venn diagrams): all faces the same or not; curved or straight edges; triangular or rectangular faces, with a shared space for shapes that have both.
  • Riddles: For example, "I have 5 faces and 5 corners. I have 8 edges. 1 face is a square and 4 are triangles" describes a square pyramid; "6 faces, 12 edges and 8 corners" describes a cube or cuboid.
  • When lines meet: Isha joins straws. Where two lines meet they make an angle. Angles are found in yoga postures, a house drawing (7 angles) and a boat drawing.
  • Right, acute and obtuse angles: A right angle checker is made by folding paper. Acute angles are less than a right angle; obtuse angles are more than a right angle.
  • Shapes with straws: A straw triangle keeps its shape when pushed, but a rectangle or square leans and its right angles change. The book notes the triangle is the most rigid shape.
  • Circles: Points at an equal distance from a point A form a circle. A is the centre; the line from the centre to the border is the radius. Folding a paper circle in half gives creases called diameters; all pass through the centre and the diameter is double the radius. Children also draw circles with a compass.
  • Puzzles: hidden shapes, cutting shapes into smaller shapes, a 2D shape card game, Squiggly the spider's triangular web and Wiggly's rectangular web, and making 2 triangles with 5 matchsticks.

    • Key Ideas

  • 3D shapes have faces, edges and corners; nets fold into 3D shapes.
  • Prisms have two matching end faces joined by rectangles; in a pyramid the triangular faces meet at one point.
  • Angles can be right, acute or obtuse.
  • A triangle is rigid; a four-sided straw shape is not.
  • The diameter of a circle is twice its radius.

    • Activities from the Book

    Block models of monuments, project work on a street model, a paper-strip sphere, making prisms and pyramids from nets, the F-V-E table, building cube towers from the Jaadui Pitara kit, drawing cubes on triangular dot paper, and making a right angle checker.

    Words to Learn

  • Face (फलक) – a flat or curved surface of a solid
  • Edge (किनारा) – where two faces meet
  • Corner/vertex (कोना/शीर्ष) – where edges meet
  • Net (जाल) – the flat pattern that folds into a solid
  • Prism (प्रिज़्म), Pyramid (पिरामिड)
  • Angle (कोण), Right angle (समकोण)
  • Acute angle (न्यूनकोण), Obtuse angle (अधिककोण)
  • Circle (वृत्त), Centre (केंद्र), Radius (त्रिज्या), Diameter (व्यास)

    • Tips for Parents & Teachers

  • Collect boxes, cans and bottles and let the child build a model of a building they know.
  • Open an empty toothpaste or sweet box to show its net, then fold it back.
  • Make a paper right angle checker and hunt for right angles at home: doors, books, tiles.
  • Push a straw triangle and a straw square to feel which one keeps its shape.
  • Fold a round roti-shaped paper several times to find the centre and diameters.

    • Common Mistakes

  • Calling a cube's face a "cube"; a face is only one flat side.
  • Thinking a bigger drawn angle is always obtuse; compare with the right angle checker instead.
  • Forgetting that every diameter passes through the centre.
  • Thinking a square pyramid has 4 faces; it has 5 (1 square and 4 triangles).

    • 💡 Key Learning Points

    • ✓Buildings and objects can be modelled with 3D shapes such as cubes, cuboids, cylinders, cones, prisms and pyramids.
    • ✓A net is the flat, opened-out form of a solid; folding it along the lines makes the solid.
    • ✓Solids can be described and sorted by their faces, edges and corners (F, E, V).
    • ✓Angles are formed where two lines meet; they are right, acute (less than right) or obtuse (more than right).
    • ✓In a circle every diameter passes through the centre and is double the radius.

    👨‍🏫 Teaching Tips

    • →Begin with the Diksha story and ask children to name monuments they have seen, then build one with blocks or boxes.
    • →Let children open real boxes to discover nets before using the nets at the end of the book.
    • →Fill the F-V-E table together and ask what they notice when they calculate F + V – E.
    • →Use Venn circles on the floor with chalk so children physically place solids in the right region.
    • →Have every child make a right angle checker and do an 'angle hunt' in the classroom.
    • →Build straw triangles and squares and push them gently to show rigidity.
    • →Fold paper circles to find diameters, then measure radius and diameter with thread.

    📋 Assessment Questions

    1. Can the child name a solid from a riddle about its faces, edges and corners?
    2. Can the child match a net to the solid it makes?
    3. Can the child classify angles as right, acute or obtuse using a right angle checker?
    4. Can the child mark the centre, a radius and a diameter on a circle and say that the diameter is double the radius?
    5. Can the child explain why a triangle frame is stronger than a square frame?

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    All chapters in Maths Mela - Class 4

    1. 1. Shapes Around Us
    2. 2. Hide and Seek
    3. 3. Patterns Around Us
    4. 4. Thousands Around Us
    5. 5. Sharing and Measuring
    6. 6. Measuring Length
    7. 7. The Cleanest Village
    8. 8. Weigh It, Pour It
    9. 9. Equal Groups
    10. 10. Elephants, Tigers, and Leopards
    11. 11. Fun with Symmetry
    12. 12. Ticking Clocks and Turning Calendar
    13. 13. The Transport Museum
    14. 14. Data Handling