Topic: Problems on percentage
Reference: Macmillian champion primary mathematics book 6
Previous knowledge: Pupils are familiar with population issues.
Objective: At the end of the lesson pupils should be able to:
Lesson 1: Expressing quantities as percentages
Example 1: there are 40 pupils in a class. If 25% are absent, how many pupils are present?
There are 40 pupils in the class
Pupils absent = 25% of 40
25100 X 40=10
∴ Pupils present = 40-10 = 30
Example 2: there are 560 children in a school. One day 28 were absent. What percentage of children were at school on that day?
First method: children present = 560-28 = 532
Percentage of children present = children presentTotal number of childern X 1001%
= 532560 X 100%
2nd method: % of children absent = 28560 X 100%=5%
∴ Percentage of children present = 100% - 5% = 95%
Lesson 2: Expressing a number as a percentage of another
Example: Share N5 000 in the ratio N2 000 to N3000 among Jimoh and chinedu. What percentage of the money does each boy receives?
Total amount of money shared = N2 000 + N3 000 = N5 000
Jimoh’s share = N2 000
The percentage of the money he receives = Jimoh's shareTotal amount X 100%
= N 2 000N 5 000 X100%
Chinedu’s share = N3 000
The percentage of the money he receives = Chinedu's shareTotal amount X 100%
= N3 000N5 000 X 100%
Lesson 3: Expressing a number as percentage as another (cont’d)
Example: a pupil got 120 out of 200 marks in a test. Change this mark to a percentage.
Percentage mark of 120200= 120200 X 100%
= 60 %
Example 2: the market price of a chair is N6 000. Its sale price is N4 500. Find the reduction as a percentage of the market price.
Reduction = N6 000 – N4 500 = N1 500
ReductionMarket price %= N1 500N6 000 X 100%
= 14 X 100=25%
Step I: Teacher revises previous lesson with pupils
Step II: Teacher introduces and explain new topic to pupils
Step III: Pupils are allowed to ask questions
Step IV: Teacher writes note on the boards for pupils
Conclusion: Teacher moves round for inspection, marking and correction of notes where necessary.
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