Page 106 - ADVANCED MATH F.5

Form Five Form Five

,
 − 4 11 0  7. ( ,k mn ) ( 5, 10, 2= − )
1  
0
4. 15   − 7 8 3 15   8. q = 40,000, r = 75, s = 30
27 −
FOR ONLINE READING ONLY
  9. 5 units of simple, 8 units
5. ( , ,abc ) (2, 5, 1= ) of medium, 8 units of
complex

6. (I , I , I 3 ) (1.3,= − 4.5, 3.7− ) 10. ( , ,x yz ) (2, 3, 1= ) units
1
2
Binomial theorem

Teaching steps
1. Guide students in groups to discuss the binomial theorem using
the Student’s Book and other resources as suggested. Assist
students in performing Activity 5.8 in the student’s Book on
identifying the coefficients of a binomial expression.
2. Lead students to use Activity 5.8 to deduce the assumptions for
n
the binomial expression (ab+ ). Guide students to generate
elements of the triangular array in Pascal’s triangle.

3. Use Examples 5.50 to 5.52 in the Student’s Book to guide
students to expand and simplify various binomial expressions.
Engage students to use mathematical software to verify the
generated expressions for the given examples.

Binomial expansion
Teaching steps
1. Guide students in groups to discuss the approach that can be
used to obtain the expansion which is given by,

1 n−
b +
+
b +
+
(a b ) = n a + n na n− 11 ( nn − ) 1 a n− 2 2 ( nn − 1 )(n − ) 2 a n− 3 3 ... na b 1 + b n
b +
12 12 3
××
×
where n is a positive integer.
100
Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 100 30/06/2024 18:02:22
ADVANCED MATH F.5 TG CHAPTERS.indd 100