Through the operation of apple division, let students understand the meaning of remainder and division with remainder, and express it with division formula. Make students experience the formation process of remainder, abstract the phenomenon of average score into the process of division by remainder, and cultivate students' ability of observation, analysis and comparison.
Infiltrating the consciousness and methods of intuitive research, students can feel the close connection between mathematics and life, and feel the happiness of learning and using mathematics. Teaching emphasis: understand the formation process of remainder and the significance of division with remainder, and express division with remainder with division formula. Teaching difficulties: understanding the meaning of division with remainder and the unit name of remainder. Teaching preparation: courseware, physical pictures and record sheets.
Remainder:
The remainder refers to the undivided part of the dividend in integer division, and the range of the remainder is an integer between 0 and divisor, which is a mathematical term. In the division of integers, there are only two situations: divisible and non-divisible. When it is not divisible, a remainder is generated. The remainder operation: a mod b = c(b is not 0) means that the remainder obtained by dividing the integer a by the integer b is c, for example, 7 ÷ 3 = 2 1.
If a number is divided by another number, if it is smaller than another number, the quotient is 0 and the remainder is itself. For example: 1 divided by 2, the quotient is 0, and the remainder is1; When 2 is divided by 3, the quotient is 0 and the remainder is 2. In the division of integers, there are only two situations: divisible and non-divisible. When it is not divisible, it will produce a remainder, so the remainder problem is very important in primary school mathematics. The absolute value of the difference between the remainder and the divisor is less than the absolute value of the divisor (applicable to the real number field).