LESSON PLANNING OF PERCENTAGES

Subject Mathematics

Grade 5^{th}

Students` Learning Outcomes

- Recognize percentage as a special kind of fraction.
- Convert percentage to fraction and to decimal and vice versa.

Information for Teachers

From Percent to Decimal:

- Percentage to convert from percent to decimal: divide by 100,and remove the “%” sign. The easiest way to divide by 100 is to move the decimal point 2 places to the right. So:

From Decimal to Percent:

- Percentage to convert from decimal to percent: multiply by 100, and use a “%” sign. The easiest way to multiply by 100 is to move the decimal point 2 places to the right. So:

From Fraction to Percentage:

- The easiest way to convert a fraction to a percentage is to divide the top number by the bottom number.
- Then multiply the result by 100, and use the “%” sign.
- Example: Convert 3/8 o a percentage

o First divide 3 by 8: 3 ÷ 8 = 0.375

o Then multiply by 100: 0.375 x 100 = 37.5

o Use the “%” sign: 37.5%

o Answer: 3/8 = 3.5%

From Percentage to Fraction:

o To convert a percentage to a faction, first convert to a decimal(divide by 100), then use the steps for converting decimal to fractions (like above)

o Example: To convert 80% to a fraction;

Consult textbook when and where required.

Material / Resources

Writing board, chalk / marker, duster, textbook

Introduction

- Write on the board ‘%’ and ask if they have ever seen this symbol before? And what is the meaning of %?

- Collect their responses.
- Tell them that it`s a special form of fraction which is 1 / 100.
- Collect responses along with the reasons of choosing one fraction on the other. Appreciate the closer one. Also inquire the silent member as what are they thinking?

Development

Activity 1

- Tell the students that Decimals, Fraction and p[percentage are just different ways of showing the same value.
- Show them the following chart:

Draw a half circle and ask the following questions:

o What do we call this? [half circle]

o What fraction and what decimal does it represent? [1/2] [0.5]

o How did you get 0.5? [1/2 x 5/5 = 5/10 = 0.5] [done in previous lessons]

o What do I do to convert ‘2’ of this ½ into 100? [hint: 50 x 2 = 100]

o Yes! Multiply both parts of fraction with 50, will give us 50/ 100.

o Encourage students to respond.

o Ask 1/100 is what? [%]

o Deduce with the help of students that 50/100 is 50%.

Activity 2

- Draw a quarter circles and invite students randomly to present as fraction, decimal and percentage.

Activity 3

- Make the proper groups of students.
- Ask each pair takes a loose sheet and cut into 10 equal strips.
- Ask them to label fraction, decimal and percentage.
- Let the try and explore on their own.[1/10,, 0.1, 10/100 or 10%]
- Encourage the students.

- Each strip cut into 10 small squares. How many small squares?
- Ask how many total small squares? [100]
- Pick 45 small squares and pile on one side. Now Present as fraction as decimal and as percentage.

Activity 4

- Give few questions from textbook and solve on board with the help of students.
- Encourage students.
- In the given figure unite down the coloured in friction for.

Activity 5

- Provide the following worksheet in groups and ask the students to fill in the blanks.

Sum up / Conclusion

- From Percent to Decimal: To convert from percent to decimal: divide by 100, and remove the “%” sign. The easiest way to divide by 100 is to move the decimal point 2 places from right side to the left.
- From Percent to Decimal: To convert fro percent to decimal: divide by 100, and remove the “%” sign. The easiest way to divide by 100 is to remove the decimal point 2 places from right side to the left.
- From Decimal to Percent: To convert from decimal to percent: multiply by 100, and use a “%” sign. The easiest way to multiply by 100 is to move the decimal point 2 places to the right.
- From Fraction to Percentage: The easiest way to convert a fraction to a percentage is to divide the top number by the bottom number. Then multiply the result by 100, and use the “%” sign. Example: Convert % to a percentage. First divide 3 by 8: 3 ÷ 8 = 0.35, then multiply by 100: 0.375 x 100 = 37.5 use the “%” sign: 37.5^ Answer:
^{3/8 = 37.5%.} - From Percentage to Fraction: To convert a percentage to a fraction, first convert to a decimal (divide by 100), then use the steps for converting decimal to fractions (like above)

Assessment

- Write each decimal as a percentage:

- Write 20% in decimal fraction.
- Convert the fractions into percentages and percentages into fractions.

- Assign questions from the textbook for individual work.

Follow up

- Give questions from the textbook for homework.
- Tell what part of the circle is shaded?

- Tell what part of the square is shaded?

- Tell what part of the star is shaded?

- Tell what part of the rectangle is shaded?