Class 5 Mathematics — Chapter 7: Shapes and Patterns

What you'll learn

• ▸Basic Weaving Patterns
• ▸Complex Weaving and Grid Patterns
• ▸Tessellation with Regular Polygons
• ▸Multi-Shape Tessellation and Non-Tessellating Shapes
• ▸Classification of Triangles
• ▸Classification of Quadrilaterals
• ▸Geometric Shape Construction
• ▸Tangram Puzzles and Spatial Reasoning
• ▸Properties of Circles and Inscribed Quadrilaterals
• ▸Analysis of Cube Structures
• ▸Introduction to Polyhedra

Chapter Summary

--- PAGE 1 --- ChapterChapter Shapes and 77 Patterns Weaving Mats You may have seen woven baskets of different kinds. If you look closely, you will notice different weaving patterns on each basket. We will try weaving some mats with paper strips. 1. Let us make paper mats. You will need — A coloured paper (30 cm long and 20 cm wide) and eight paper strips of two different colours (3 cm wide and longer than 20 cm). (a) Take a coloured paper 30 cm long and 20 cm wide. (b) Fold the coloured paper in half along the longer side. (c) Draw vertical lines at equal distances from the closed end and cut slits leaving a gap of 3 cm at the top. (d) Carefully unfold the paper. There will be no cuts in the paper at the top and the bottom. (e) Now cut 8 paper strips of 3 cm width in 2 colours and of length slightly longer than 20 cm. (f) Take one colour strip and weave it across the slits going 1 under and 1 over, and again 1 under and 1 over. Repeat it for the first row. (g) Take one more stri…

Practice Questions from this Chapter

Tap "Get Solution" on any question to ask our AI tutor.

1. Draw a pattern using only squares. Get Solution →
2. Explain why octagons do not tessellate. Get Solution →
3. Find more shapes that tessellate. Get Solution →
4. What is the pattern description for Row 1 of the first woven mat example? Get Solution →
5. What does it mean for a shape to be 'regular' as described in the chapter? Get Solution →
6. Do regular pentagons tessellate, according to the text? Get Solution →
7. What is a square defined as in the context of tessellation in the chapter? Get Solution →
8. What is a regular octagon? Get Solution →

Did you know?

• 💡 Honeycombs are made of perfect hexagons, the most efficient shape for storing honey.
• 💡 Ancient Roman roads were built using tessellating stones to create strong, durable surfaces.
• 💡 Some animals, like chameleons, can change their skin patterns to blend into their surroundings.
• 💡 The study of shapes and patterns is called geometry, one of the oldest fields of math.
• 💡 Snowflakes always form hexagonal patterns, yet no two are exactly alike.

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