1. 1 positive and negative numbers
Reading and thinking: using positive numbers and negative numbers to represent the allowable error of machining
Addition and subtraction of rational number 1.3
Experiment and Exploration of Filling Rubik's Cube
Reading and Thinking China people first used negative numbers.
Multiplication and division of rational number 1.4
Observe and think about the mathematical truth in the flop game.
1.5 power of rational number
Mathematical activities
summary
Review questions 1
Chapter II Addition and subtraction of algebraic expressions
2. 1 algebraic expression
Read and think about the dialogue between the number 1 and the letter X.
2.2 Addition and subtraction of algebraic expressions
Information technology application spreadsheet and data calculation
Mathematical activities
summary
Review question 2
Chapter III One-variable Linear Equation
3. 1 From Formula to Equation
Reading and Thinking about the Historical Story of Equation
3.2 Solving a linear equation with one variable (1)- merging similar terms and shift terms.
Experiment and Exploration of Infinitely Cycling Decimal Decimal Fractions
3.3 Solve the linear equation of one variable (2)-Remove brackets and denominator.
3.4 Practical problems and linear equations of one variable
Mathematical activities
summary
Review question 3
The fourth chapter is the preliminary understanding of graphics.
4. 1 color graphics
Reading and thinking about the origin of geometry
4.2 Lines, rays and line segments
Measurement of reading and thinking length
4.3 jiao
4.4 This topic is to study the design and manufacture of cuboid packaging carton.
Mathematical activities
summary
Review question 4
Index of some Chinese and English words
Digital textbook
Chapter V Intersecting Lines and Parallel Lines
5. 1 intersection line
5. 1.2 vertical line
5. 1.3 Conformal angle, internal dislocation angle and ipsilateral internal angle.
Observe and speculate
5.2 Parallel lines and their determination
0+0 parallel line
5.3 Properties of parallel lines
Properties of parallel lines
Propositions and theorems
5.4 Translation
teaching activities
summary
Chapter VI Plane Cartesian Coordinate System
6. 1 plane rectangular coordinate system
6.2 Simple application of coordinate method
Reading and thinking
6.2 Simple application of coordinate method
teaching activities
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Chapter VII Triangle
7. 1 Line segment related to triangle
7. 1.2 The bisector of the height, midline and angle of a triangle.
7. Stability of1.3 Triangle
Information technology application
7.2 Angle related to triangle
7.2.2 External Angle of Triangle
Reading and thinking
7.3 Multiple deformations and sum of their internal angles
Reading and thinking
7.4 Project Learning Mosaic
teaching activities
summary
Chapter VIII Binary Linear Equations
8. 1 binary linear equations
8.2 Elimination Solution of Binary Linear Equation
8.3 Practical Problems and Binary Linear Equations
Reading and thinking
*8.4 examples of solving ternary linear equations
teaching activities
summary
Chapter 9 Inequality and Unequal Groups
9. 1 inequality
Reading and thinking
9.2 Practical Problems and One-dimensional Linear Inequalities
Experiment and inquiry
9.3 One-dimensional linear inequality system
Reading and thinking
teaching activities
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Chapter 10 Data Collection, Arrangement and Description
10. 1 statistical survey
Experiment and inquiry
10.2 histogram
10.3 project learning talking about water saving from data
teaching activities
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Chapter 11 congruent triangles
1 1. 1 congruent triangles
1 1.2 Determination of Triangle Congruence
Reading and thinking congruence and congruent triangles.
Properties of angular bisector 1 1.3
teaching activities
summary
Review questions 1 1
Chapter 12 Axisymmetric
12. 1 axis symmetry
12.2 is used for axisymmetric graphics.
12.3 isosceles triangle
teaching activities
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Review questions 12
Chapter 13 Real Numbers
13. 1 square root
13.2 cube root
13.3 real number
teaching activities
summary
Review questions 13
Chapter 14 Linear Functions
14. 1 variables and functions
14.2 linear function
14.3 looking at equations (groups) and inequalities from the perspective of functions
14.4 project learning options
teaching activities
summary
Review questions 14
Chapter XV Multiplication, Division and Factorization of Algebraic Expressions
15. 1 multiplication of algebraic expressions
15.2 multiplication formula
Division of 15.3 algebraic expression
teaching activities
summary
Review questions 15
Chapter 16 Scores
16. 1 score
16.2 decimal operation
Reading and thinking: Can the water in the container be emptied?
16.3 fractional equation
Mathematical activities
summary
Review questions 16
Chapter 17 Inverse proportional function
17. 1 inverse proportional function
Using information technology to explore the properties of inverse proportional function
17.2 practical problems and inverse proportional functions
Reading and thinking are inversely proportional in life.
Mathematical activities
summary
Review questions 17
Chapter 18 Pythagorean Theorem
18. 1 Pythagorean theorem
Proof of Pythagoras Theorem in Reading and Thinking
Inverse Theorem of Pythagorean Theorem 18.2
Mathematical activities
summary
Review questions 18
Chapter 19 Quadrilateral
19. 1 parallelogram
Reading and thinking parallelogram rule
19.2 Special parallelogram
Experiment and Exploration of Cleverly Splicing Blocks
19.3 trapezoid
Observe and guess the special quadrilateral in the plane rectangular coordinate system
19.4 key points of project learning
Mathematical activities
summary
Review questions 19
Chapter 20 Data Analysis
20. 1 representative of data
20.2 data fluctuation
The application of information technology uses computers to calculate some statistical data.
Several measurement methods of reading thinking data fluctuation
20.3 Data Analysis in Physical Fitness Test of Project Learning
Mathematical activities
summary
Review question 20
Chapter 16 Scores
16. 1 score
16.2 decimal operation
Reading and thinking: Can the water in the container be emptied?
16.3 fractional equation
Mathematical activities
summary
Review questions 16
Chapter 17 Inverse proportional function
17. 1 inverse proportional function
Using information technology to explore the properties of inverse proportional function
17.2 practical problems and inverse proportional functions
Reading and thinking are inversely proportional in life.
Mathematical activities
summary
Review questions 17
Chapter 18 Pythagorean Theorem
18. 1 Pythagorean theorem
Proof of Pythagoras Theorem in Reading and Thinking
Inverse Theorem of Pythagorean Theorem 18.2
Mathematical activities
summary
Review questions 18
Chapter 19 Quadrilateral
19. 1 parallelogram
Reading and thinking parallelogram rule
19.2 Special parallelogram
Experiment and Exploration of Cleverly Splicing Blocks
19.3 trapezoid
Observe and guess the special quadrilateral in the plane rectangular coordinate system
19.4 key points of project learning
Mathematical activities
summary
Review questions 19
Chapter 20 Data Analysis
20. 1 representative of data
20.2 data fluctuation
The application of information technology uses computers to calculate some statistical data.
Several measurement methods of reading thinking data fluctuation
20.3 Data Analysis in Physical Fitness Test of Project Learning
Mathematical activities
summary
Review question 20
Chapter 16 Scores
16. 1 score
16.2 decimal operation
Reading and thinking: Can the water in the container be emptied?
16.3 fractional equation
Mathematical activities
summary
Review questions 16
Chapter 17 Inverse proportional function
17. 1 inverse proportional function
Using information technology to explore the properties of inverse proportional function
17.2 practical problems and inverse proportional functions
Reading and thinking are inversely proportional in life.
Mathematical activities
summary
Review questions 17
Chapter 18 Pythagorean Theorem
18. 1 Pythagorean theorem
Proof of Pythagoras Theorem in Reading and Thinking
Inverse Theorem of Pythagorean Theorem 18.2
Mathematical activities
summary
Review questions 18
Chapter 19 Quadrilateral
19. 1 parallelogram
Reading and thinking parallelogram rule
19.2 Special parallelogram
Experiment and Exploration of Cleverly Splicing Blocks
19.3 trapezoid
Observe and guess the special quadrilateral in the plane rectangular coordinate system
19.4 key points of project learning
Mathematical activities
summary
Review questions 19
Chapter 20 Data Analysis
20. 1 representative of data
20.2 data fluctuation
The application of information technology uses computers to calculate some statistical data.
Several measurement methods of reading thinking data fluctuation
20.3 Data Analysis in Physical Fitness Test of Project Learning
Mathematical activities
summary
Review question 20
Chapter 21 Quadratic Radicals
2 1. 1 quadratic root
Multiplication and Division of 2 1.2 Quadratic Radical
Addition and subtraction of 2 1.3 quadratic radical
Reading and thinking
Helen-Qin Jiushao formula
Mathematical activities
summary
Review question 2 1
Chapter 22 One-variable quadratic equation
22. 1 unary quadratic equation
22.2 order reduction-solving a quadratic equation with one variable
Reading and thinking
Golden section number
22.3 practical problems and quadratic equations in one variable
Experiment and inquiry
Calculation of the number of the first n rows in triangular lattice
Mathematical activities
summary
Review question 22
Chapter 23 Rotation
23. 1 graphic rotation
23.2 Center symmetry
Information technology application
Explore the essence of rotation
23.3 Theme research mode design
Reading and thinking
Rotational symmetry
Mathematical activities
summary
Review question 23
Chapter 24 Circle
24. 1 circle
24.2 Position relationship of points, lines, circles and circles
24.3 Regular polygons and circles
Reading and thinking
Pi π
24.4 Arc length and sector area
Experiment and inquiry
Design runway
Mathematical activities
summary
Review question 24
Chapter 25 Preliminary Probability
25. 1 random events and probability
25.2 Using enumeration method to find probability
Reading and thinking
Probability and winning prizes
25.3 Use frequency to estimate probability
Experiment and inquiry
Estimation of п
25.4 Study the arrangement of letters on the keyboard.
Mathematical activities
summary
Review question 25
Chapter 26 Quadratic Function
26. 1 quadratic function and its image
26.2 From the perspective of function, the quadratic equation of one variable is viewed.
Information technology application
Exploring the Properties of Quadratic Functions
26.3 Practical Problems and Quadratic Functions
Experiment and exploration
Inferring the relationship between plant growth and temperature
teaching activities
summary
Review question 26
Chapter 27 Similarity
27. 1 graphic similarity
27.2 similar triangles
Observe and guess the wonderful fractal figure.
27.3 Similarity
The application of information technology explores the essence of similarity.
teaching activities
summary
Review question 27
Chapter 28 Acute Angle Trigonometric Function
28. 1 acute trigonometric function
Reading and thinking about an ancient trigonometric function table
28.2 Solving Right Triangle
teaching activities
summary
Review question 28
Chapter 29 Forecasts and Views
29. 1 projection
29.2 Three Views
Generation and application of reading thinking view
29.3 theme learning to make three-dimensional models
Mathematical activities
summary
Review question 29
Pythagorean theorem in eighth grade