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.

Key Topics:

?

Systematic sampling

?

Group sampling

?

Relationship between two variables

?

Interdependency of two variables

Basic Trigonometry I

Course content:

This course talks about the properties of triangles and looks at the relationship that exist

between

their internal angles and

lenghs of their sides.

This leads to discussion

of the

most commonly used trigonometric functions that relate triangle properties to unit circles.

This includes the sine, cosine and tangent functions. Students can use these properites

and functions to solve a number of issues.

Key Topics:

?

Common Angles

?

The polar coordinate system

?

Triangles properties

?

Right triangles

?

The trigonometric functions

?

Applications of basic trigonometry

Basic Trigonometry II

Course content:

This course will look at the very important inverse trig functions such as arcsin, arcos, and

arctan, and see how they can be used to determine angle values. Students also learn core

trig identities such as the reduction and double angle identities and use them as a means

for deriving proofs.

Key Topics:

?

Derivative trigonometric functions

?

Inverse trig functions

?

Identities

?

Pythagorean identities

?

Reduction identities

?

Angle sum/Difference identities

?

Double-angle identities