high school mathematical course description 高中数学课程描述

Mathematics Course Description

Mathematics course in middle school has two parts: compulsory courses and optional courses. Compulsory courses content lots of modern mathematical knowledge and conceptions, such as calculus, statistics,analytic geometry, algorithm and vector. Optional courses are choosen by students which is accrodding their interests.

Compulsory Courses:

Set Theory

Course content:

This course introduces a new vocabulary and set of rules that is foundational to the mathematical discussions. Learning the basics of this all-important branch of mathematics so that students are perpared to tackle and understand the concept of mathematical functions. Students learn about how entities are grouped into sets and how to conduct various operations of sets such as unions and intersections(i.e. the algebra of sets). We conclude with a brief introduction to the relationship between functions and sets to set the stage for the next step

Key Topics:

➢The language of set theory

➢Set membership

➢Subsets, supersets, and equality

➢Set theory and functions

Functions

Course content:

This lesson begin with talking about the role of functions and look at the concept of mapping values between domain and range. From there student spend a good deal of time looking at how to visualize various kinds of functions using grahs. this course will begin with the absolute value function and then move on to discuss both exponential and logarithmic functions. Students get an opportunity to see how these functions can be used to model various kinds of phenomena.

Key Topics:

➢Single-variable functions

➢Two –variable functions

➢Exponential function

➢Logarithmic function

➢Power- function

Calculus

Course content:

In the first step, the course introduces the conception of limit, derivative and differential. Then students can fully understand what is limit of number sequence and what is limit of function through some specific practices. Moreover, the method to calculate derivative is also introduced to students.

Key Topics:

➢Limit theory

➢Derivative

➢Differential

Algorithm

Course content:

Introduce the conception of algorithm and the method to design algorithm. Then the figures of flow charts and the conception of logcial structure, like sequential structure, constructure of condition and cycle structure are introduced to studnets. Next step students can use the knowledge of algorithm to make simple programming language, during this procedure, student also approach to grammatical rules and statements which is as similar as BASIC language.

Key Topics:

➢Algorithm

➢Logical structure of flow chart and algorithm

➢Output statement

➢Input statement

➢Assingnment statement

Statistics

Course content:

The course starts with basic knowledge of statistics, such as systematic sampling and group sampling. During the lesson students acquire the knowlegde like how to estimate collectivity distribution accroding frequency distribution of samples, and how to compute numerical characteristics of collectivity by looking at numerical characteristics of samples. Finally, the relationship and the interdependency of two variables is introduced to make sure that students mastered in how to make scatterplot, how to calculate regression line,and what is Method of Square.