Playing with Constructions — Syllabus
CBSE · Class 6 · Mathematics
What Playing with Constructions covers in CBSE Class 6 Mathematics: 4 topics, for the 2026-27 session. Part of the CBSE Class 6 Mathematics syllabus.
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Topics in Playing with Constructions
1. Compass, Circle, and Radius
- A compass can be used to construct circles and their parts.
- A point 4 cm from P, when the compass is opened to a fixed distance and rotated about P, traces a circle.
- All the points of a circle are at the same distance from its centre.
2. Squares and Rectangles
- A rectangle has opposite sides equal and all angles 90°.
- A square has all sides equal and all angles 90°.
- The blue sides AB and CD in rectangle ABCD are opposite sides because they lie opposite each other.
3. Constructing Squares and Rectangles
- A square of side 6 cm can be constructed using a ruler and compass.
- A rectangle can be constructed if the lengths of its sides are given.
- A rectangle can also be constructed if one side and one diagonal are given.
4. Rectangles Made of Squares
- A rectangle can be divided into two identical squares.
- If two identical squares form a rectangle, then all the shorter lines are equal.
- In such a figure, AF = AB = BE = FE and BE = BC = CD = ED.
Key Concepts
Central concept: Geometric constructions using a compass and ruler
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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