ICSE Class 7 Maths, Unit 4: Geometry
From the CISCE curriculum. 14 key concepts, about 6 days of study at 20 to 30 minutes a day.
What this unit aims at
Children in this class will be enabled to perceive relationships between properties of figures. The children will develop the ability to give the minimum number of properties, eliminating redundancies and formulate meaningful definitions and understand inclusion relationships such as every square is a special type of rectangle, but not every rectangle is a square. Note that if a student is requiring to "know a definition" before attaining this level, it will be a memorized definition with little meaning to the student. Their concept definition is likely not to match their concept image.
Your child should be able to
- identify pairs of angles like linear, supplementary, complementary, adjacent and vertically opposite and find one when the other is given
- hypothesize the relationship between pairs of angles out of eight angles formed by a transversal with two parallel lines
- verify angle sum and other properties of triangles and use these properties to find unknown elements of a triangle
- appreciate the rotational symmetry of various shapes and figures
- read simple maps and construct own maps like home to school, map of her village, house etc
- establish congruence criterion for triangles and circles
- construct simple triangles when three out of six elements are given (like three sides, two sides and included angle, a side and two angles etc.)
Key concepts in this unit
- Understanding shapes:
- Pairs of angles (linear, supplementary, complementary, adjacent, vertically opposite)
- Properties of parallel lines with transversal (alternate, corresponding, interior, exterior angles)
- Properties of triangles:
- Angle sum property Exterior angle property
- Pythagoras Theorem (Verification only)
- Symmetry Recalling reflection symmetry
- Idea of rotational symmetry, observations of rotational symmetry of 2-D objects. (900, 1200, 1800)
- Representing 3-D in 2-D:
- Identification and counting of vertices, edges, faces, nets (for cubes cuboids, and cylinders, cones).
- Mapping the space around approximately through visual estimation.
- Congruence Congruence through superimposition Extend congruence to simple geometrical shapes e.g. triangles, circles.
- Criteria of congruence Construction Construction of a line parallel to a given line from a point outside it
- Construction of simple triangles.
Teach this unit at home
- A day-by-day plan from the CISCE concepts, so you know what to cover each day.
- A step-by-step script for each day, so you know what to say and ask (AI-written from the CISCE curriculum, so check it against your child's school book).
- A quiz at the end.
From the CISCE Curriculum for Classes I to VIII (2016). CISCE sets what is taught, not the textbooks, so schools use different books and there are no page numbers here. Adhian Gurus is not affiliated with CISCE.