Knowledge points, emphases and difficulties of new junior one mathematics
The first of two or three volumes.
chapter one
rational number
1.
Positive and negative numbers
2.
rational number
3.
Addition and subtraction of rational numbers
4.
Multiplication and division of rational numbers
5.
Power of rational number
Key points: number axis, reciprocal, absolute value, rational number calculation, scientific counting method, effective number.
Difficulty: absolute value
Error-prone point: calculation of absolute value and rational number
Compulsory examination for senior high school entrance examination: scientific counting method and countdown
Multiple choice
chapter two
Addition and subtraction of algebraic expressions
1.
Integral expression
2.
Addition and subtraction of algebraic expressions
Emphasis: the concepts of monomial and polynomial, the determination of coefficients and degrees, similar terms, addition and subtraction of algebraic expressions.
Difficulties: determination of coefficients and degrees of monomials and polynomials, and merging of similar terms.
Error-prone points: merging similar items, calculation errors, and determination of integer multiples.
Must be tested in the senior high school entrance examination: similar items, determination of multiples of integer coefficients, addition and subtraction of algebraic expressions.
chapter three
One-dimensional linear equation
1.
From Formula to Equation
2.
Solving a linear equation with one variable —— Merging similar terms and displacement terms
3.
Solving a linear equation with one variable-removing brackets and denominator
4.
Practical problems and one-dimensional linear equations
Key points: linear equation of one variable
Definition, solution and application
Difficult point: the solution of linear equation of one variable.
step
Error-prone point: when naming, items without denominator are easily multiplied, and when solving application problems, I don't know how to find equivalence.
chapter four
Graphic cognitive steps
1.
Color graphics
2.
Line, ray, line segment
3.
corner
4.
Project Practice-Design and Manufacture of Rectangular Packaging Cartons
Emphasis: the understanding of straight line, ray, line segment and angle, the calculation of midpoint and bisector of angle, complementary angle and complementary angle, azimuth angle, etc.
Difficulties: correlation calculation of midpoint and bisector, application of complementary angle and complementary angle.
Error-prone point: equivalence relation will not be converted,