Suggested answers 1 2 3 4 5 6
Exercise 3 Guidelines on how to implement this activity
Compare the characteristics of direct and indirect proportion. Let the learners start with Exercise 3 in the class and discuss the answers with them once they have finished Questions 1 and 2. Work through Question 3 of Exercise 3 with participation of the learners since it requires some skill to draw the curve in the first quadrant. Compare the characteristics of direct and indirect proportion with reference to their respective graphs.
Suggested answers 1.1
1.2 1.3 2.1
xy = 30
Indirectly proportional as the product xy is constant. 8
Number of workers (n) Time taken in hours (t) Man-hours for the task
Construction. 30 240
12 20
240
20 12
240
2.2 nt = 240 2.3 Indirectly proportional as the product nt is constant. 3.1 3.2
Length of rectangle: l
24 10
240
30 8
240
Length of each piece (x) 1 m 1,5 m 2 m 3 m 5 m 6 m 7,5 m 10 m 15 m Number of pieces (y)
30 20 15 10 6 5 4 3 2
The table shows indirect proportion as xy = 30
The table shows neither direct nor indirect proportion. The table shows neither direct nor indirect proportion. The table shows indirect proportion as xy = 60 The table shows direct proportion as y = 5x The table shows direct proportion as y = − x
__ 5 .
Learner’s Book page 34
12 cm 10 cm 8 cm 6 cm 4 cm 3cm
2cm 1 cm
Breadth of rectangle: b 1 cm 1,2 cm 1,5 cm 2 cm 3 cm 4 cm 6 cm 12 cm Area of rectangle
12 cm² 12 cm² 12 cm² 12 cm² 12 cm² 12 cm² 12 cm² 12 cm²
42 Section 4: Teaching Mathematics
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