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Junior high school people's education edition mathematics six chapters catalogue
Chapter 1 Rational Numbers

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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