LESSON PLAN OF PERIMETER AND AREA

 

LESSON PLANNING OF PERIMETER AND AREA

Subject Mathematics

Grade 5th

Students` Learning Outcomes

  • Identify the units for measurement of perimeter and area.
  • Write the formulas for perimeter and area of a square and rectangle.
  • Apply formulas for perimeter and area of a square and rectangle.

Information for Teachers

  • Distance of around the closed ended shape is called its perimeter.
  • Perimeter can be measured in the units of meter, centimeter and kilometre.
  • Perimeter of a shape is calculated by adding length of all of its sides.
  • Area is the amount of region that a shape cover i.e. Area = Length x Breadth
  • Area can be measured in square units.

Material / Resources

Writing board, chalk / marker, duster, pencil, paper, scissors, text paper, ruler, chart paper cutouts with different shapes and sizes  

Introduction

  • Ask the students:

o   What is an open ended and closed ended shape?

o   What is perimeter?

o   What is area?

o   How can we measure “perimeter” and “area”?

  • Discuss with the students that a perimeter and an area can be measured in m, cm, km etc. area is measured in square units.
  • Ask students to walk in the ground and identify the perimeter and van area of a ground.
  • Ask students to identify and point to the perimeter and area of their pencil box, teacher`s desk, and any note book.

Development

Activity 1

  • Draw the following shape on the board.
  • Ask them to find out the perimeter 5 of the shape. [Let them think and then check their answers]
  • Perimeter can be 3 measured by adding lengths of a shape. 
  • Therefore the perimeter of the rectangle is 7 + 3 + 7 3 = 20 units.
  • Ask the students to draw different size shapes to find perimeters.
  • Divide class into groups of four members.
  • Give each group drawings of different shapes of different sizes.
  • Ask them to mention the name of shapes and find their perimeters.
  • Appreciate for correct answers.
  • Correct the wrong answers.
  • Make it clear that a perimeter is found by adding length of all sides.

Activity 2

  • Draw a rectangle like shape as shown on the board.
  • Ask them about its perimeter. 
  • Tell them how we will find the length of the other 2 sides.
  • In a rectangle opposite sides are equal, so to work out the perimeter of a rectangle you just need to know only the length and width.
  • Look at the shape and find the length of each side. Add the lengths:
  • Total length of all sides is 15 + 6 15 + 6 = 42. Now find the units.
  • The lengths have been measured in centimetres, so the perimeter will also be measured in centimetres.
  • The perimeter will be 42 centimetres.

Activity 3

Ask the students:

  • What could be the easiest way to find the perimeter of a rectangle? Help them in concluding that since the 2 opposite sides of a rectangle are equal so if we add the length and breadth and multiply the sum by 2 then we can get perimeter.
  • Formula for perimeter can also be written as:

o   Perimeter of a rectangle = 2 x (l + b)

o   Where l = length and b = breadth

  • Ask them to apply the formula to different rectangular shapes and verify by adding all 4 sides.
  • Ask what is the perimeter of a square having side –length 74 cm? Help them to conclude that:
  • o   Since a square has 4 sides of equal length, the perimeter of the square is 74 + 74 + 74 + 74 = 296. Or 4 x 74 = 296.

Ask the students:

  • What could be the easiest way to find out the perimeter of a square?
  • Help them to conclude that since all 4 sides of a square are equal we can find out its perimeter by multiplying one side of the square by 4 so, perimeter of a square = 4 x l. where l = length of a side of a square.
  • In above example area = 4 x 74 = 296 cm

Activity 4

  • Draw a square and rectangle on the board.
  • Ask them to look at the shapes:
  •  How many squares is each divided into (4 and 12)
  • If the side of each smaller square is 1 cm how much is the area of the square? 4 cm2 (because it has 4 small 1 cm squares)
  • What will the area of the rectangle? 12 cm2 (because it has 12 small 1 cm squares)

Activity 5

  • Ask them to find out the area of the rectangle.
  • Tell them the formula for area of rectangle 
  • The formula is:
  • Area = l x b, where l = length and b = breadth.
  •  We know;
  •  l = 5
  • b = 3, so Area = 5 x 3 = 15

Note:

  • The area of a figure measures the size of the region enclosed by the figure. This is usually expressed in terms of some square unit.
  • A few examples of the units used are square meters, square centimetres, square inches, or square kilometers.
  • The area of rectangle is composed of its “width” and “length”. Explain few more examples to the students to make them understand about the concepts.

Area of Rectangle: 

Sum up / Conclusion

PERIMETER VS AREA 

  • Formulas to calculate perimeter and area 

Assessment

Individual Work:

  • v  Assign questions from the textbook to be done in individually and record for assessment and follow up.
  • v  Write the following on the board and ask students to solve. 
  • v  Involve the students in solving the problems given in the end of the lesson of text book.

Follow up

  • Assign questions from the textbook.
  • Find out area of some square and rectangular objects in the house.
  • Write down importance of finding area and perimeter.

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