Exploring area and perimeter

Materials:
Rectangular dot sheets, stationery

Objective:
To understand the relationship between area and perimeter of 2D shapes

Process:

 * 1) Recall area and perimeter concepts: ask students to explain the meaning of area and perimeter in their own words
 * 2) Establish differences between area and perimeter:
 * 3) * Perimeter is a one dimensional quantity and area is a two dimensional quantity
 * 4) * Area is expressed in sq.units and perimeter in units
 * 5) * Area defines the space occupied by a shape, perimeter is the length of its boundary
 * 6) Hand over dot sheets to individual students or pairs of students and inform that the distance between any two horizontally or vertically adjacent dots in the dot sheet is 1 cm
 * 7) Ask students to draw and shade a square of area 1 sq. cm and ask them to find out the perimeter of the same
 * 8) Repeat for 4 sq.cm
 * 9) Ask students to observe these shapes and find out what is the area and perimeter of each shape.
 * 10) *Area perimeter dot sheet figures.png
 * 11) Next, draw this shape on the board/project this image and ask students what is the area and perimeter of this shape. If anyone is unclear, explain how the area and the perimeter can be found out
 * 12) * Area perimeter shaded region.png
 * 13) Ask students to calculate the area of the shaded region (8 sq. cm). Then, ask them to draw a different shape with the same area
 * 14) Next, ask them to compare the perimeter of the shape displayed and the one they drew
 * 15) Call out a few students whose shapes have perimeter lesser, greater and same as the one displayed and share it with the class
 * 16) If there are no examples for any of the categories, challenge them to find suitable shapes

Materials:
Print-outs of the puzzle [or] projector to display and rectangular dot sheets

Process:

 * 1) Handover print outs of the 'Share the land' puzzle(NCERT Class 5 Mathematics Textbook) to students individually or in pairs and ask them to solve it.
 * 2) Discuss different solutions/strategies that students come up with

Materials:

 * dot sheets/graph sheets,
 * crayons of different colours
 * dice (2)

Process:

 * 1) Students are paired/ divided into groups and given the listed materials
 * 2) Each player rolls the dice and draws a rectangle of equivalent size. Eg - if they roll 2 and 4, they draw a 2x4 rectangle.
 * 3) The player who covers maximum area first, wins.
 * 4) Ask students to calculate the perimeter of each rectangle they draw and of their final shape as well.
 * 5) Reference: Conquer the area (activity 2 in https://iheartteachingelementary.com/area-and-perimeter-games/)

Discussion after both activities:

 * Does perimeter always increase if area increases?
 * Does area always increase if perimeter increases? (If they say yes,give the initial grid examples as reference and ask them to check if it is holding true)