Page 109 - ADVANCED MATH F.5

Form Five Form Five

Assist students to explore further conditions of the general
term. That is, if it is of the form:
n
−
b
(i) (ab− ) , it becomes T r+ 1 = ( ) 1− r n C a n r r
r
n
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r
(ii) (1 x+ ) , it becomes T r+ 1 = n C x and,
r
n
(iii) (1 x− ) , it becomes T r+ 1 = ( ) 1− r n C x r .
r
2. Use Examples 5.61, 5.62, and 5.63 in the student’s Book and
give clear instructions for each example to guide students
to obtain the general term and the term independent of x for
the given expressions. Engage students to use mathematical
software to verify the given expansion for the given examples.
Advise them to share their findings.

Middle terms in a binomial expansion

Teaching steps
1. Use Think-Ink-Pair-Share strategy to discuss the two conditions
for the middle terms in the binomial expansion. That is,

 n  th
(i) If n is even, the middle term is  + 1  term
 2 

(ii) If n is odd, the middle terms are   n + 1  th and   n + 3   th .
 2   2 
2. Use Examples 5.64 and 5.65 in the student’s Book and give
clear instructions for each example to guide students to find the
middle term/terms from the given expressions.
3. Require students to attempt Exercise 5.11 in the student’s
Book. Advise them to submit their work, check the correctness
of their answers, and provide them constructive feedback.

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Mathematics for Advanced Secondary Schools

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