CBSEi Class 10 Sequences (AP and GP) CORE

precise, employs unambiguous use of language and rigour in formulation. Children
should be encouraged to appreciate its significance.
At the secondary stage students begin to perceive the structure of Mathematics as a
discipline. By this stage they should become familiar with the characteristics of
Mathematical communications, various terms and concepts, the use of symbols,
precision of language and systematic arguments in proving the proposition. At this
stage a student should be able to integrate the many concepts and skills that he/she
has learnt in solving problems.
The unit on Arithmetic Progression focuses on observation and generalisation in
order to achieve the following learning objectives:
Arithmetic or geometric or any other sequence is basically the mathematical
expression of patterns occurred in nature, in geometrical designs, in textile designs,
in music compositions etc. Thus the unit has been introduced through observations
of patterns in number sequences and in geometrical patterns. Warm up activities
lights up the mind bulb to enable the prediction of the next terms of the sequences or
the next shape in the design. Warm up activity W3 helps the students to establish the
relation between number sequences and geometrical patterns. The purpose is to
make them translate the geometrical sequences into number sequences.
Pre-content activities set the pace for use of symbols and rules to generalize the
inferences drawn from observations. So the learners will use algebraic expressions to
write the general term of any given sequence .Practice of lots of number sequences
can be given for the same. For example,
2, 4, 6...
3, 7, 10........
1, 4, 9, 16.......
4, 7, 12,19......
½, 1/2 2 , ½ 3 ........
Students can write the general terms for these sequences. Also they can be given the
general terms and asked to write the first few terms of the sequence. They shall also
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