III Characters and Expressions

Use of the first character
Equation 2 and its calculation
Equation 3 and its solution
Linear equation 4

IV Coordinate Plane and Graph

Ordered pairs and coordinates of number 5
No. 6 direct proportion
No. 7 Inverse Proportion

Why do middle school math concepts feel so difficult?

The concept is unfamiliar

Elementary mathematics covers basic concepts such as arithmetic operations and fractions, but middle school mathematics covers abstract and invisible concepts such as equations and functions.
These concepts may feel unfamiliar at first because they don't directly connect to real life.
The concepts can feel more difficult because the terminology itself is unfamiliar, and the fact that similar but different concepts appear at the same time can also cause confusion.
This is why middle school math feels more difficult as new concepts are continuously introduced from the first to third year of middle school.

Requires logical understanding

Compared to elementary school mathematics, middle school mathematics contains many concepts that are relatively unintuitive and complex.
Because these concepts are abstract, they must be understood through logical thinking, and the process of acquiring them can be difficult as they are learned in a different way than in elementary school.
Additionally, when solving various problems, you must divide them into several steps and solve them, and logical thinking is essential in the process of applying or modifying formulas.

Accurate sentence interpretation is important.

Because mathematical concepts have clear definitions, it is very important to understand the sentences accurately.
Unlike elementary school mathematics, middle school mathematics defines concepts much more logically.
That is, when a concept appears, its definition is determined by its relationships or regularities with other mathematical concepts.
Additionally, one concept may be structurally connected to multiple concepts.
Especially in descriptive questions, it is essential to clearly understand the definitions of these concepts.

How to accurately understand math concepts with "Red Middle School"?

A small step approach

Rather than simply memorizing a concept, it is important to understand why the concept is needed and how it is derived.
Because middle school math concepts are complex, it's more effective to break them down into smaller chunks rather than trying to understand them all at once, allowing students to understand them step by step without feeling overwhelmed.
"Red Middle School" approaches concepts step by step, helping you gain a deeper understanding and understand the concepts more accurately.

A natural thought process that allows you to understand concepts in three dimensions

As students solve problems, they naturally think about how concepts are derived and why they are important.
Learning concepts in a natural way is crucial to developing students' thinking skills.
"Red Middle School" is designed to approach the concepts required in middle school mathematics from various angles, allowing students to solve problems in a variety of ways and acquire logical thinking processes.
Learning that emphasizes the thinking process allows students to understand concepts in a three-dimensional way and provides a foundation for developing mathematical thinking skills.

Self-directed conceptual understanding that completes the foundation of higher mathematics

Self-directed understanding of concepts in secondary mathematics is essential for successful learning in higher mathematics.
"Red Middle School" helps students discover and understand concepts on their own while solving problems.
In this process, students do not simply memorize concepts, but systematically organize them through their own thought processes.
A solid foundation in secondary mathematics built through self-directed learning makes it easier to understand advanced concepts in higher-level mathematics, leading to higher academic achievement in the long term.

[Textbook Structure]
1st grade middle school, 4 volumes in total
1A Factorization · Integers and Rational Numbers
1B Letters and Expressions · Coordinate Planes and Graphs
1C Basic Shapes · Construction and Congruence
1D plane figures and solid figures