Page 206 - ADVANCED MATH F.5

Form Five Form Five

2. Assist students through discussions to calculate the area under
a curve and the x-axis through the following procedures:
(i) Guide students to sketch and identify the area under a
curve
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(ii) Determine the limits of integration if not given
(iii) Set up the definite integral
(iv) Integrate to get the area

3. Ask students to investigate the area lying above the x-axis
(which will have a positive value) and the area lying below the
x-axis (which will have a negative value). Ask them through
brainstorming, if is it possible for the required area to lie above
and below the x-axis at the same time.
4. Guide students through discussion to follow the same
procedures when calculating the area under a curve and the
y-axis.

5. Use Examples 9.65 to 9.69 in the Student’s Book to guide
students and assist them in calculating the under a curve and
the x-axis and the area under a curve and the y-axis. Allow
students to share alternative methods of calculating the area
under a curve and the x-axis. Advise them to share their
findings through presentation.
6. Formulate a strategy which will engage students to identify
the area of a region enclosed between two curves. Assist them
through discussion to determine the integral of the difference
between the two functions using common limits.

7. Use Examples 9.70 and 9.71 in the Student’s Book to guide
students and assist them in calculating the area of a region
enclosed between two curves. Allow students to share
alternative methods of calculating the area enclose between
two curves.

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Mathematics for Advanced Secondary Schools

30/06/2024 18:02:53
ADVANCED MATH F.5 TG CHAPTERS.indd 200
ADVANCED MATH F.5 TG CHAPTERS.indd 200 30/06/2024 18:02:53