Shapes and Patterns Class 5 Maths Chapter 7 CBSE Notes 2025-26

Shapes and patterns are all around us, from woven mats and tiled floors to kites, tangrams, and even 3D solids like cubes and icosahedrons. In this chapter, you explore how different shapes are formed, combined, and repeated to make beautiful and useful patterns.

These revision notes will help you recall the key concepts and activities related to shapes and patterns so you can confidently answer all the important questions in your Class 5 Maths exam.

Weaving mats is a fun way to learn about patterns. You need a coloured paper and eight paper strips (in two different colours) to make a mat. First, fold the paper in half and make equal slits, leaving space at the top. Then, weave the strips over and under in alternate rows. The pattern goes like this:

• Row 1: 1 under, 1 over (repeat); Row 2: 1 over, 1 under (repeat)
• Other patterns include two over, one under; or three over, three under, followed by other variations.

These patterns can be changed in each row, and you can use the same or different colours for each row. Drawing and completing patterns on grid paper helps you learn how repetition creates symmetry in designs.

Tiling, or tessellation, is about covering a surface with shapes without leaving any gaps or overlapping. Triangles, squares, and hexagons can tessellate perfectly because they fit together neatly. For example, equilateral triangles (all sides equal) and regular hexagons fit without gaps. Regular pentagons and octagons do not tessellate on their own because there will always be gaps left.

• Some tessellation patterns use more than one shape, such as squares and triangles together.
• Exploring patterns with different combinations helps understand which shapes can completely cover a region and which cannot.

You can also look at patterns made using rhombuses and check if the triangle they contain are equilateral or not, discussing their properties.

Triangles and quadrilaterals are two of the most important groups of shapes. Triangles can be:

• Isosceles triangles: Two sides are equal, and so are two angles.
• Equilateral triangles: All three sides and all three angles are equal.
• Scalene triangles: All sides and all angles are unequal.

Quadrilaterals are four-sided shapes. Common types include:

• Square: All sides equal, all angles right angles.
• Rectangle: Opposite sides equal, all angles right angles.
• Rhombus: All sides equal, but angles are not right angles.
• Parallelogram: Opposite sides equal, opposite angles equal, angles are not right angles.
• Kite: Two pairs of equal adjacent sides.

Drawing and manipulating these shapes, especially using cutouts, helps you see how sides and angles determine the shapes.

A tangram is a puzzle made from seven flat pieces which you can cut out and arrange to form various shapes. The activity helps you:

• Compare sides and angles of different pieces
• Notice similarities and differences in shapes
• Create multiple figures using all or some pieces

Tangram puzzles stimulate creative thinking and help understand how shapes combine to make new figures.

Sometimes, identifying shapes by their properties is necessary. Here's a helpful table of typical properties:

By remembering these clues, you can easily figure out the shape from its description.

To make a kite, fold a square paper along a diagonal, then fold two corners towards the diagonal. This forms a typical kite shape, which contains triangles and other polygons inside it.

Playing with circles involves drawing one, marking diameters and joining points to form various four-sided figures. Sometimes, these are rectangles, but different diameters can create new shapes as well.

Cubes help you understand 3D shapes. Drawing different views on its net improves your spatial skills. Performing activities like counting the removed cubes in a frame, or painting and counting the faces, will help in visualising solids. For example, if you stick 27 small cubes together to make a big cube and paint it red:

• Some cubes will have three faces painted, some two, some one, and some not at all.

There is also a puzzle involving arranging seven shapes (squares, triangles, circle, hexagon, rectangle) in a line by following clues about their positions, which builds reasoning skills.

Icosahedron and dodecahedron are special 3D shapes. An icosahedron has 20 faces, which are all triangles, while a dodecahedron has 12 faces, all of which are pentagons. By making models of these using paper nets or clay and sticks, you observe that each vertex joins the same number of faces, and all the faces look the same.

• Counting edges without missing or repeating is important for understanding geometry.
• Exploring these polyhedrons helps strengthen your concepts of solid shapes and symmetry.

You are also encouraged to build your own 3D models. This makes abstract ideas about faces, edges, and vertices much clearer and easier to understand.

In summary, this chapter covers essential shape properties, ways to combine shapes, patterns in two and three dimensions, and fun activities like weaving, tangram, and model making. These experiences make the topic of “Shapes and Patterns” engaging and help in visual learning, which is key to mastering geometry in maths.

Class 5 Maths Chapter 7 Notes – Shapes and Patterns: Summary for Quick Revision

These CBSE Class 5 Maths Chapter 7 Shapes and Patterns revision notes provide a simple summary of important concepts, including weaving patterns, tessellations, types of triangles and quadrilaterals, and 3D shapes. Each topic is explained using clear examples and tables for easy understanding. With these notes, students can quickly revise key points ahead of tests.

Class 5 Maths Chapter 7 introduces students to shapes like squares, triangles, kites, and cubes, highlighting their properties and patterns. Using these comprehensive revision materials, you can strengthen your understanding of the chapter's main ideas and become confident in identifying, drawing, and working with various geometric figures.