Second, the teaching objectives

Knowledge and skills: Instruct students to jointly deduce and master the calculation method of cylindrical volume, use the calculation formula of cylindrical volume to solve practical problems, and cultivate students' problem-solving ability.

Process and Method: Students are guided to experience mathematical activities such as imagination, reasoning and verification through scenario demonstration. Infiltrate the transformed mathematical thought and experience the mathematical research method.

Emotion, attitude and values: Through the derivation and application of cylindrical volume calculation formula, students can experience the pleasure of learning mathematics and cooperating with their peers in the process of positive thinking and cooperative communication.

Third, teaching focuses on difficulties.

Teaching emphasis: guide students to explore and master the calculation method of cylindrical volume, and can use formulas to solve practical problems.

Teaching difficulty: the process of guiding students to deduce the formula of cylinder volume.

Fourth, teaching methods.

Through watching onion mathematics micro-video teaching, teachers and students cooperate and communicate, and teachers ask questions to guide students.

Five, teaching preparation

? Micro-video courseware of onion mathematics, cylinder model.

Sixth, the teaching process.

(A) scenario import

Show the onion math video, students help "dog eggs and small hammers choose fire extinguishers", and the teacher points out that the volume of the required fire extinguisher is the volume of the cylinder.

(2) Explore new knowledge

1. Guess-activate thinking

Teacher: What is the volume of a cylinder? Is there any way you can get it? The teacher led the review of how to find the area of a circle and compared it with a cylinder.

2. Group discussion and collective report

(1) Method of preset bottom ring superposition.

(2) Cutting and transforming cylinders are preset.

3. Teachers guide students to think: What figure can cylindrical cutting be transformed into? What is the relationship between the transformed figure and the cylinder?

The team reformed the spliced cylindrical model by themselves, and the teacher patrolled and guided.

4. Teachers and students exchange splicing results, and the teacher's courseware shows the onion mathematics micro-video. Students find out the relationship between the cuboid and the cylinder.

5. The teacher pointed out that finding the volume of a cylinder is finding the volume of a cuboid through the micro-video of onion mathematics.

Cuboid volume = length × width × height = bottom area × height

Cylinder volume = bottom area × height = π r? h

6. Expansion: Looking back at the process of reasoning just now, what did you find?

Teachers and students * * * sort out the derivation methods and processes, and exchange the findings in the process of inquiry.

Seven, using formulas to solve practical problems

The courseware shows the practice of finding the volume of a cylinder, which is completed by students independently and guided by teachers.

Eight, class summary

What are your gains and questions in this class? (Answer by name, added by the teacher)

Nine, blackboard writing design

? Cylinder volume

? Volume of cuboid = bottom area × height

? Volume of cylinder = bottom area × height

? Expressed in letters: v = sh = π r? h