Page 182 - ADVANCED MATH F.5

Form Five Form Five

Teaching and learning resources
Mathematical software such as Maple, GeoGebra, MATLAB, Symbolab,
Mathematical sets, scientific calculators, AI tools, manila cards, flip
charts, marker pens, pairs of scissors, rubber bands, pencils, ruler,
FOR ONLINE READING ONLY
masking tapes, glue, geo-boards, and coloured chalks.

The inverse process of differentiation
Teaching steps
1. Guide students in groups to describe integration as the
inverse process of differentiation. Ask students the meaning
of the inverse process of differentiation. Encourage students
to explore additional resources, such as online tutorials or
reference books, to enrich their understanding and further
practice.

2. Using the Student’s Book guide students to explore the the
opposite of the derivative of a function as the anti-derivative
of a function.
3. Instruct students individually, to demonstrate the integral,
∫ f ()x dx where ∫ is integral notation, dx the differential

variable and ()fx is the function to be integrated.
4. Use Example 9.1 in the student’s Book, to guide students to
find the anti-derivative of each of the given integrals.

5. Guide students through explorations to investigate some
useful standard integrals in Table 9.1 in the student’s Book.
Ask students to explore additional resources, such as online
tutorials or reference books.
6. Guide students to discuss the two types of integrals, namely;
indefinite integrals and definite integrals. Instruct students that,
the presentation will start with indefinite integral.

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ADVANCED MATH F.5 TG CHAPTERS.indd 176 30/06/2024 18:02:46