Activities with Graph Paper for Enhancing （活动与坐标纸增强）.pdfVIP

Activities with Graph Paper for Enhancing Learning of Mathematics Harinder Mahajan Graph paper is a very versatile and useful device for learning mathematics and is not used much in primary and middle schools. In this paper we suggest some activities with graph paper that can be used to enhance understanding of concepts and operations on numbers, geometry and measurement, communication and reasoning. Some opportunities are provided for exploration of ideas. We have restricted activities to 2005 syllabus of NCERT for classes V -VIII. Numbers Let a small square in represents one unit of area then the shaded long area represents a ten as it consists of ten squares. Short Long We can represent a two-digit numbers by shading as many longs as tens and as many shorts as units in it. For example 27 = 2 Tens + 7 Ones, we can represent it by shading 2 longs and 7 shorts as shown below: Give more examples and ask them to represent some numbers using this method. Similarly we can represent a three digit number by use of a graph paper in which ten × ten squares are also marked in a different colour given in Appendix 1. A square with red border represents a hundred, a whole column or row within the square a long represents tens and a small square represents a unit. We can represent the number by shading as many 10 × 10 squares as hundreds, as many longs as tens and as many shorts as units. Thus to represent a number say 475, we can shade 4 10 × 10 squares, 7 longs and 5 shorts as given below: Give more examples and ask them to represent some numbers using this method. Operation on numbers The area model for multiplication and division extends to fractions and decimals and should be used. The length of a small square represents one unit of length and its area one unit of area. Multiplication of one digit numbers To find 4 × 6 mark a rectangle with 4 rows and 6 columns and count the number of squares whi