For students who have just entered junior high school, do you feel both excited and a little lost in the face of the new learning environment and subject content? In particular, mathematics is one of the key subjects in junior high school, and its knowledge points have been significantly improved and expanded compared with primary school. Today, let me help you sort out the knowledge points of mathematics in the first year of junior high school, and help you make steady progress in your studies in the new semester.
1.Algebraic Fundamentals: From Equations to Equations
In the first year of junior high school, we should not only be able to calculate simple addition, subtraction, multiplication and division, but also begin to learn the simplification of algebraic expressions and the solution of equations. For example, solving a one-dimensional equation is a compulsory course in the first year of mathematics. Understanding the nature of equations and mastering basic operations such as shifting terms and merging terms of the same kind is the key to solving equations.
I remember when I was in my first year of junior high school, when I first came into contact with equations, I always couldn't figure out why and how to move terms. Later, through continuous practice and consulting with teachers, I finally mastered this technique. In retrospect, those seemingly complex equations have become very simple once you have mastered the method.
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2.Introduction to Geometry: Understanding Flat Figures
The geometry course in the first year of junior high school mainly focuses on plane figures, including the properties and judgments of basic shapes such as line segments, angles, and triangles. These knowledge points not only require us to be able to memorize, but also require us to be able to apply them in practical problems.
When learning geometry, it is recommended that you draw more hands-on drawings. Through practical operation, the nature of the graph can be understood more intuitively. In addition, you can also try to explain real-life phenomena with what you have learned, such as why the tripod of a bicycle is stable, while the quadruple stool is prone to shaking.
3.Data Analysis: Preliminary Statistics and Probability
In the first year of junior high school, we will also learn the basics of statistics and probability. Not only does this help us better understand and analyze data, but it also helps us develop logical thinking and decision-making skills.
When learning statistics and probability, it is recommended that you analyze more with actual cases. For example, you can investigate the height and weight of the students in the class, and then use the knowledge to conduct statistical analysis. This will not only deepen the understanding of the knowledge points, but also enhance the fun of learning.
4.A Primer on Functions: Relationships between Variables
Although the requirements for functions in the first stage of the first stage are not high, we will still be exposed to some basic function concepts, such as proportional functions, inverse proportional functions, etc. These knowledge points lay the foundation for us to learn more complex functions in the future.
When I was learning functions, I initially found them abstract and difficult to understand. But later, through the teacher's explanation and my own exploration, I gradually understood that a function is actually a tool to describe the relationship between variables. Once I got that out of the way, I realized that functions aren't that hard.
Although there are many mathematical knowledge points in the first year of junior high school, as long as we can sort out and learn according to the above context, I believe we will be able to grasp it easily. Remember, mathematics is a subject that requires constant practice and thinking, and only by using more hands and brains can you truly become a master of mathematics. I hope that in the new semester, students will be able to brave the difficulties, move forward bravely, and enjoy the world of mathematics!