Middle School Functions, I'll Teach You Properly
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Description
Book Introduction
If you find high school math difficult, it's because you lack the knowledge of middle school functions!
The ultimate goal of mathematics is functions, and 90% of higher mathematics is functions.
Therefore, if you do not have a proper understanding of middle school functions, higher level mathematics will inevitably be difficult for you without any reason.
However, middle school students face three difficulties while learning middle school functions.
In the end, many students become scared just by watching f(x), let alone three times.
It's easy to fall into the trap of thinking that students who are good at studying will be okay, but in reality, it's not uncommon for top students in the entire school to not even know the value of a function.
Middle school function problems are easy, so people make the mistake of thinking that they are good at it because they just plug in the answer as if they were solving an equation.
If you're a middle school student who aspires to excel in advanced mathematics or dreams of a comeback, don't miss this book, "Middle School Functions, Taught Properly!" Not only does it thoroughly teach you the concepts of middle school functions to excel in advanced mathematics, but it also offers a wealth of secret weapons for solving challenging problems. You'll be amazed throughout the book.
The ultimate goal of mathematics is functions, and 90% of higher mathematics is functions.
Therefore, if you do not have a proper understanding of middle school functions, higher level mathematics will inevitably be difficult for you without any reason.
However, middle school students face three difficulties while learning middle school functions.
In the end, many students become scared just by watching f(x), let alone three times.
It's easy to fall into the trap of thinking that students who are good at studying will be okay, but in reality, it's not uncommon for top students in the entire school to not even know the value of a function.
Middle school function problems are easy, so people make the mistake of thinking that they are good at it because they just plug in the answer as if they were solving an equation.
If you're a middle school student who aspires to excel in advanced mathematics or dreams of a comeback, don't miss this book, "Middle School Functions, Taught Properly!" Not only does it thoroughly teach you the concepts of middle school functions to excel in advanced mathematics, but it also offers a wealth of secret weapons for solving challenging problems. You'll be amazed throughout the book.
- You can preview some of the book's contents.
Preview
index
Prologue: If you solve middle school functions as equations, 90% of high school math is at risk.
Part 1, First Grade Functions
1-1.
Textbook definition of a function
Tips on how to study math
1-2.
Explaining functions using correspondence relationships
Tip function condition: Must be married at least once
1-3.
Understanding the function relationship y=f(x)
1-5.
Direct and inverse proportions
1-5.
Coordinate plane
What does it mean to express a tip point as a coordinate?
1-6.
To be good at functions, you need to draw a lot of graphs.
1-7.
Utilization of functions
Part 2, Grade 2 Functions
2-1.
Definition of linear function
What is a tip variable?
2-2.
The degree of inclination of a straight line is expressed as a number?
Tip What is a straight line?
2-3.
Intercepts and parallel translations
2-4.
Indeterminate line
2-5.
All straight lines are derived from two points or one point and its slope.
Tip Function Value: Function values are always within the y-axis.
2-6.
The relationship between the equation of a straight line and a linear function
Tip y=0 is a function, but x=0 is not a function.
2-7.
Understanding the solution to a system of equations using graphs
The TIP equation is 'the x-coordinate of the intersection of two functions'
Part 3, 3rd grade functions
3-1.
Misconceptions about functions
3-2.
Definition of quadratic function
3-3.
If you understand the standard form of the quadratic function y=ax²(a≠0), you will see the shape.
3-4.
Even if it moves parallel, its shape remains the same and it does not rotate in particular.
Even if you draw a lot of tip shapes, you may still not know the function value.
3-5.
Understand symmetry through the symmetry of points.
3-6.
The graph of a quadratic function is easy to draw in standard form.
3-7.
The graph of a quadratic function only needs three points.
Tip The sign of b in the quadratic function y=ax²+bx+c
3-8.
Knowing the maximum and minimum values of y completes the application of the quadratic function.
Part 4 For Higher-Order Functions
4-1.
Relationship between quadratic functions and quadratic equations
Tip Relationship between roots and coefficients
4-2.
Relationship between quadratic functions and quadratic inequalities
Tip Types of Inequalities
4-3.
Functions defined differently depending on the interval
Tip Maximum and minimum values of a quadratic function with a defined domain
4-4.
Absolute value: It doesn't end there, just because you don't know whether a number is positive or negative.
4-5.
Create a function according to the examiner's definition
〈Epilogue〉To build a 100-story building, you must dig four levels underground.
Part 1, First Grade Functions
1-1.
Textbook definition of a function
Tips on how to study math
1-2.
Explaining functions using correspondence relationships
Tip function condition: Must be married at least once
1-3.
Understanding the function relationship y=f(x)
1-5.
Direct and inverse proportions
1-5.
Coordinate plane
What does it mean to express a tip point as a coordinate?
1-6.
To be good at functions, you need to draw a lot of graphs.
1-7.
Utilization of functions
Part 2, Grade 2 Functions
2-1.
Definition of linear function
What is a tip variable?
2-2.
The degree of inclination of a straight line is expressed as a number?
Tip What is a straight line?
2-3.
Intercepts and parallel translations
2-4.
Indeterminate line
2-5.
All straight lines are derived from two points or one point and its slope.
Tip Function Value: Function values are always within the y-axis.
2-6.
The relationship between the equation of a straight line and a linear function
Tip y=0 is a function, but x=0 is not a function.
2-7.
Understanding the solution to a system of equations using graphs
The TIP equation is 'the x-coordinate of the intersection of two functions'
Part 3, 3rd grade functions
3-1.
Misconceptions about functions
3-2.
Definition of quadratic function
3-3.
If you understand the standard form of the quadratic function y=ax²(a≠0), you will see the shape.
3-4.
Even if it moves parallel, its shape remains the same and it does not rotate in particular.
Even if you draw a lot of tip shapes, you may still not know the function value.
3-5.
Understand symmetry through the symmetry of points.
3-6.
The graph of a quadratic function is easy to draw in standard form.
3-7.
The graph of a quadratic function only needs three points.
Tip The sign of b in the quadratic function y=ax²+bx+c
3-8.
Knowing the maximum and minimum values of y completes the application of the quadratic function.
Part 4 For Higher-Order Functions
4-1.
Relationship between quadratic functions and quadratic equations
Tip Relationship between roots and coefficients
4-2.
Relationship between quadratic functions and quadratic inequalities
Tip Types of Inequalities
4-3.
Functions defined differently depending on the interval
Tip Maximum and minimum values of a quadratic function with a defined domain
4-4.
Absolute value: It doesn't end there, just because you don't know whether a number is positive or negative.
4-5.
Create a function according to the examiner's definition
〈Epilogue〉To build a 100-story building, you must dig four levels underground.
Detailed image
GOODS SPECIFICS
- Date of issue: January 22, 2025
- Page count, weight, size: 384 pages | 152*215*30mm
- ISBN13: 9791197620775
- ISBN10: 119762077X
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