Page 151 - ADVANCED MATH F.5

Form Five Form Five

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

Derivatives
Teaching steps
1. Guide students through discussion in introducing the concept of
the derivative of a function. Assist them in using Figure 8.1in the
Student’s Book to describe the small increase from the graph of
a straight line and write the slope in terms of functional notation.

2. Assist students through discussion to recognize the appropriate
notations when writing the derivative of a function. Encourage
students to explore additional resources, such as online tutorials
or reference books, to enrich their understanding and further
practice.
3. In groups, engage students to recognize the various notations
which are used to denote derivatives. Advise students to share
their findings.

Differentiation of a function from first principles
Teaching steps
1. Guide students through discussion to derive the formula for
differentiation of a function from first principles by using the
slope of a secant line. Assist them in using Figure 8.2 in the
Student’s Book to describe a curve of the function y = f(x) with
a secant line passing through the points Q and P.
2. In groups, introduce students to the concept of limit as applied
in derivatives. Assist them in recognizing the limit of a function
f(x) as x approaches a certain value.

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