NCERT Class 6 Mathematics Ganita Prakash: Chapter 8 — Playing with Constructions
This chapter, 'Playing with Constructions,' from NCERT's Class 6 Mathematics textbook 'Ganita Prakash,' introduces students to basic geometric constructions. It encourages observation of figures and drawing them freehand before introducing the use of essential tools like a ruler and compass. The chapter defines curves broadly, including straight lines and circles. A key activity involves marking points at a fixed distance (4 cm) from a central point 'P' to understand the concept of a circle. Students are prompted to explore the capabilities of a compass and verify their drawings, laying the foundation for precise geometric drawing and understanding fundamental shapes. This chapter helps students develop spatial reasoning and familiarity with geometric instruments, crucial for CBSE mathematics learning.
Quick info
| Board | CBSE / NCERT |
|---|---|
| Class | Class 6 |
| Subject | Mathematics |
| Book | Ganita Prakash |
| Chapter | Chapter 8 — Playing with Constructions |
| Language | English |
| PDF type | NCERT Textbook |
| Session | CBSE 2026 |
| Reading time | 2 minutes |
| Word count | 212 |
Learning outcomes
- Identify and use basic geometric tools: ruler and compass.
- Understand the concept of a curve and its examples.
- Learn to mark points at a fixed distance from a given point.
- Begin to understand the construction of a circle using a compass.
- Develop observational skills for geometric figures.
Vocabulary
| Word | Meaning |
|---|---|
| Constructions | The act of drawing geometric figures using specific tools like ruler and compass. |
| Compass | A geometric tool used for drawing circles or arcs. |
| Ruler | A tool used for measuring lengths and drawing straight lines. |
| Curves | Any shapes that can be drawn on paper, including straight lines, circles, and other figures. |
| Point | A specific location in space, often represented by a dot. |
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Practice questions
- What are the two main tools introduced for drawing geometric figures in this chapter? Answer: A ruler and a compass.
- What is a curve in the context of drawing? Answer: Any shape that can be drawn on paper with a pencil, including straight lines and circles.
- If you mark all points that are 4 cm away from a point 'P', what shape do you get? Answer: A circle.
Frequently asked questions
What is the main goal of Chapter 8 of NCERT Class 6 Mathematics Ganita Prakash?
The chapter aims to introduce students to basic geometric constructions using tools like a ruler and compass, and to help them understand concepts like curves and circles.
What tools are essential for geometric constructions mentioned in the chapter?
The essential tools mentioned are a ruler and a compass.
How does the chapter explain the concept of a circle?
It explains a circle as the set of all points that are at a fixed distance (the radius) from a central point.
What is a 'curve' according to this chapter?
A curve is defined as any shape that can be drawn on paper with a pencil, including straight lines and circles.
What activity helps understand the formation of a circle?
Marking multiple points that are exactly 4 cm away from a central point 'P' helps understand the formation of a circle.
Related resources
Important topics
Topics covered
NCERT Class 6 Mathematics — Ganita Prakash — Chapter 8 — Playing with Constructions. Verified by NCERT Help Editorial Team. Reviewed on 29 Jul 2026. Last updated 10 Aug 2026.