Perimeter and Area

The perimeter of a shape is the distance around that edge, that is, the distance it takes to walk around the shape along the edge. Normally the perimeter of a shape is the sum of its sides.

A polygon is a closed shape consisting of several straight line segments. The perimeter of a polygon is the sum of the lengths of all these sides. For example, the perimeter of the next polygon is 1 + 5 + 4 + 2 + 7 = 19.

A rectangle is a four-sided polygon whose opposite sides have the same length and all angles have the same metric. Since the length of the opposite side is the same, you simply add the lengths of the two adjacent sides and multiply by 2 (that is, count it twice for each side). The expression around the rectangle is 2 x (h + w). Where h and w are the height and width of the rectangle. For example, the circumference of the lower rectangle is 2 × (3 + 6) = 2 × 9 = 18.

A square is a four-sided polygon with all edges of the same length. Therefore, to determine the perimeter of a square, you simply multiply the area of ​​the square with 4 x s on one side. Where s is the length of one side. For example, the perimeter of the bottom square is 4 × 8 = 32.

Calculate the surrounding area, area, surface area, volume of the new map. - Compare the surrounding area, area, surface area, volume of the new map with other examples. - Check to see if the pattern of scale change (x, x ^ 2, x ^ 3) is misunderstood. Students believe that length, area, surface area and volume are affected. Students may get confused about non-proportional scale changes, think that it is proportional, and get the wrong answer.

Calculating surroundings and areas is an important skill that many people use in everyday life. Architects, engineers, and construction workers need to accurately measure the area and perimeter to build the building with the correct specifications. By understanding not only the solid area and surrounding knowledge but also the room size, experts can help determine the paint or floor area required to refill at the time of refurbishment. Since the children began to learn about the surroundings and areas of KS 2, it is important to use the materials of the worksheet in that area and surroundings. This makes it easy to understand and enjoy the theme. Worksheets with fun activities will help children understand this important area of ​​mathematics. By using high quality resources throughout the education process you can prepare children for more advanced regional and surrounding problems, such as calculating complex geometry and area.

Students develop strategies to measure surroundings and areas. Their strategies are discussed and used to develop rules for finding different numbers of regions and surroundings. In this module, much of the idea of ​​the previous unit will be reviewed and expanded. For example, from the Prime Time unit, the relationship between the coefficients and the size of the rectangle is used. Students in the rectangular area begin to examine the area by counting the number of squares they contain. To count more efficiently, they find the number of squares in a row and multiply the number of rows. In other words, multiply the length (how many in one row) by the width (the number of rows) to find the area.