Page 209 - ADVANCED MATH F.5

Form Five Form Five

5. Guide students through discussion to follow the same
procedures when deriving the formula for the volume of
the solid of revolution generated after rotating a complete
revolution about the y-axis.
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6. Use Examples 9.76 to 9.79 in the Student’s Book, to guide
students and assist them in calculating the volume of the solid
revolution. Engage students to use mathematical softwares to
verify the solutions in Examples 9.76 to 9.79 in the Student’s
Book.

7. Formulate strategies of enhancing students understanding of
how to determine the volume of the solid of revolution about
any line using the disk, washer, and shell method.
8. Use Examples 9.80 to 9.84 in the Student’s Book, to guide
students and assist them in calculating the volume of a solid of
revolution about any line. Allow students to share alternative
methods of calculating the volume of a solid of revolution
about any line.

9. Guide students through discussions using Figure 9.13 in the
Student’s Book to derive the formula for calculating the area
of a sector. Allow students to share alternative methods of
deriving the formula for calculating the area of a sector.

10. Use Examples 9.85 and 9.86 in the Student’s Book to guide
students and assist them in calculating the area of a sector.
11. Require students to attempt Exercise 9.14 in the Student’s Book.
Advise them to submit their work; check the correctness of
their answers, and provide them feedback. Encourage students
to explore additional resources, such as online tutorials, or
reference books, to enrich their understanding and for further
practice.

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