1. Advanced Algebra

Advanced algebra is a key point in the mathematics course of senior three. Students need to learn and master all kinds of complex algebraic operation symbols and rules, such as polynomial operation, algebraic expression fractional operation, quadratic root operation and so on. At the same time, students also need to learn algebra-related equations and inequalities, such as quadratic equations with one variable and quadratic equations with two variables.

2. Function and Analytic Geometry

Function is one of the core concepts in high school mathematics. Senior three students will deeply study the properties, images and changing rules of various functions. Students need to be familiar with the images, properties and changing rules of common functions such as linear function, quadratic function, exponential function and logarithmic function.

In addition, students also need to learn the operations of functions, composite functions and inverse functions. In analytic geometry, students will learn the properties of straight lines and circles, parametric equations, space geometry and so on.

3. Sequence and mathematical induction

Sequence and mathematical induction are another key content of senior three. Students need to learn arithmetic progression, geometric progression, the derivation and application of general formula, and at the same time learn the sum and limit of sequence and other related concepts. Mathematical induction is an important method of sequence and mathematical reasoning, and students need to master the skills of correctly using induction to solve problems.

4. Probability and statistics

Probability statistics is an important content of high school mathematics, and it is also essential for senior three. Students will learn the basic concepts and calculation methods of probability statistics, including conditional probability, event independence, expectation and variance calculation. Senior three students also need to learn the collection and arrangement of statistical data, and use sample data to calculate and describe general indicators.

5. Trigonometric functions and solving triangles

Trigonometric function is an important branch of high school mathematics, and students will learn the definition, properties and image change law of various trigonometric functions. In addition, senior three students need to learn about triangles, including the trilateral relationship, bisector and median vertical line of the angles.

6. Mathematical proof and reasoning

Mathematical proof and reasoning is an important content of senior high school mathematics, and it is also the core of senior three mathematics learning. Students need to learn and master the basic methods and skills of mathematical proof, such as direct proof, indirect proof and reduction to absurdity. In addition, students also need to learn the analysis and solution of mathematical problems, and cultivate mathematical thinking and reasoning ability.