The difficulty of homework is divided into three levels: A, B and C. Students with strong thinking ability and understanding ability can choose C, B and A if they are poor. However, it should be noted that this design will increase the workload of teachers, and teachers need to persevere and collect problem designs outside the teaching materials extensively.

For example, after teaching cuboids and cubes, I designed the following homework:

A the length, width and height of a rectangular box are 6 cm, 4 cm and 3 cm respectively. How many square centimeters of paper do you use to make this box? What is its volume?

B the sum of the sides of a rectangular carton is 52 cm, 6 cm long and 4 cm wide. What is its volume?

C the bottom area of a rectangular box is 24cm2, the perimeter of the bottom is 24cm2, and its surface area is108cm2. What is its volume?

This design can arouse students' enthusiasm for homework, avoid the monotony of homework, and fully reflect that "everyone can learn valuable mathematics, everyone can get the necessary mathematics, and different people have different developments in mathematics." At the same time, it also allows students to master the main points of knowledge, think positively and improve their ability to use knowledge flexibly in the process of solving problems.

2. Design practical work

Mathematics comes from and serves life. The actual homework is not required to be completed on the same day, and he can be fed once or two weeks. For example, ask students to count the use of plastic garbage bags by urban residents. In practice, students will apply a lot of mathematics knowledge, and when completing the investigation report, they will also comprehensively use the knowledge of various disciplines to cultivate students' comprehensive ability. But this kind of homework should pay attention to let students do what they can.

3. Design diversification.

Realistic, interesting and exploratory mathematics learning activities should be one of the main forms of mathematics learning. Students' mathematics learning can adopt such activities as operating experiments, independent exploration, bold guessing, cooperation and communication, and positive thinking. Mathematics learning presents diversification. Accordingly, the form of math homework is not only problem solving, but also diversified.