Conversion of Rational Numbers into Percents and Vice Versa

Lesson topic-Decimals; Rational numbers and percent


This chapter entails the conversion of rational numbers into percentages and vice versa using the following methods;


Ø Unitary method


Ø Multiplication method


Ø Equivalent fraction


The teacher should connect the previous lesson with the current one. The previous lesson was expressing fractions to a factor of 100.


Lesson objectives


Ø Differentiate between a rational number and a percent


Ø Convert a rational number into a decimal and then into percentage


Ø Calculate percentages from rational numbers both in simple and complex problems


Ø Clearly explain all the procedures involved in calculating rational numbers and percentages


Ø Express decimals into percentages


Ø  Express fractions in percentages


Ø Students should have a clear understanding of percent ‘per hundred’


Time


            Each stage of the lesson has to be assigned its own time depending on the complexity and content to be passed. The lesson is 60 minutes long. Time is divided into the introduction, lesson development (body) and the conclusion. The introduction is based on connecting the lesson with the previous one and engaging students in doing calculations and answering oral questions. The introduction is also made to enlighten and inform students on the lesson’s objective. The body entails lengthy calculations and explanations whereby students listen to the teacher and engage in answering questions. The objectives have to be executed in the body section and students are engaged to have a clear understanding of the lesson. The conclusions will entail wrapping up the content taught and doing an assessment to test on student understanding.


Materials


Coursebook to guide both the teacher and student


Chalkboard/whiteboard and a pointing stick


Tables and charts


Activity


Introduction (5 minutes) - The teacher will review the previous topic on expressing fractions to a factor of 100. The teacher will then define new words to familiarize learners with words like rational numbers, decimals and percents.


Body (40 minutes) - The teacher will embark on the real execution of the objectives. The teacher has to differentiate between a rational number and a percent by writing examples on the board and engaging students to write more in their books and then he can go round checking on student accuracy and understanding. Learners can also read loudly and pronounce as the teacher points on words and definitions on the board.  The teacher then has to convert rational numbers to decimals and then percentages and giving students problems to calculate.


Conclusion (15 minutes) - The teacher reviews the lesson and gives several calculations covering Unitary, Multiplication and equivalent fraction method. Then there is communication between the teacher and students for clarifications and also reviewing difficult parts. The teacher can also take some time and mark the problems given during the entire lesson. The teacher then gives assignments and ensuring that the assignment covers both the theoretical part and also advanced calculations to challenge students to practice and read further.


Assessment


The assessment can be done through the following;


Ø Asking learners to define words like decimals, rational numbers, and percents to check if they can remember.


Ø Giving examples for the learners to calculate and checking if they get the procedures and answers correctly.

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