Page 8 - ICSE Math 8

Key Concepts Learning Outcomes Suggested Transactional Processes
Representing 3D in 2D (v) diagonals of a rhombus bisect establish relationship among vertices,
• Identify and match pictures with each other at right angles edges and surfaces. Through pattern
objects [more complicated, e.g., (vi) diagonals of a square are equal let them reach to Euler’s relation.
nested, joint 2D and 3D shapes (not and bisect each other at right • Constructing various figures by
more than 2)]. angles. children using compasses and a
• Drawing 2D representation of 3D • identify and match pictures with straight edge. But it is also important
objects (Continued and extended) objects [more complicated, e.g. to involve children to argue why
• Counting vertices, edges and faces nested, joint 2D and 3D shapes (not a particular step is required. For
and verifying Euler’s relation for 3D more than 2)]; example, on drawing an arc using
figures with flat faces (cubes, cuboids, • draw 2D representation of 3D objects compasses we find all those points
tetrahedrons, prisms and pyramids) (continued and extended); that are at the given distance from
Construction of Quadrilaterals: • count number of vertices, edges and the point where the metal end of the
compasses was placed.
• Given four sides and one diagonal faces and verifying Euler’s relation
• Three sides and two diagonals for 3D figures with flat faces (cubes,
• Three sides and two included angles cuboids, tetrahedrons, prisms and
pyramids);
• Two adjacent sides and three angles • generalize the sum of angles of
• Idea of reflection symmetry and quadrilateral and use it in solving
symmetrical shapes various problems related to finding
Circle angles of a quadrilateral;
• Circle, centre, radius/diameter, arc, • explain properties of parallelograms
chord, sector and segment. and tries to reason out how one
property is related to other;
• represent 3D shapes on a plan surface
like paper, board, wall, etc.;
• make nets of prisms and pyramids
and form the shapes from the nets;
• construct quadrilaterals using pair of
compasses and straight edge given:
– four sides and one diagonal
• three sides and two diagonals
– three sides and two included angles
– two adjacent sides and three angles
• construct quadrilaterals given:
– four sides and one diagonal
– three sides and two diagonals
– three sides and two included angles
– two adjacent sides and three angles.
• describe the meaning of axes (same
units), Cartesian plane, plotting
points for different kind of situations
(perimeter Vs length for squares,
area as a function of side of a square,
plotting of multiples of different
numbers, simple interest Vs number of
years, etc.);
• read linear graphs;
• distinguish the shapes that are
symmetrical and find line of
symmetry by paper folding;
• define and identify various parts of a
circle.