STEM-Plus Content offers K-12 math and other STEM content in both English and Japanese.
The content aids in vocabulary acquisition for both English and Japanese learners.
How does it achieve this?
Through the content, learners grasp words and phrases more intuitively because they already know their meanings in their native language.
It is like learning the word “apple” by looking at a picture of one.
STEM-Plus Content facilitates easy learning of abstract yet useful words.

To ensure effective and efficient learning, the content is designed to be concise and illustrative.
Learners can easily understand the material through images and examples.

In addition, the content provides useful tips on math and other STEM subjects, supporting
academic success in these important fields.

How to use:
Carefully selected English words and phrases related to “Solving Equations” are highlighted in yellow in the images below. The words are also summarized at the bottom of this page.
We recommend reviewing them regularly during your daily math studies to enhance your vocabulary.

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TERMS, DEFINITIONS, AND ILLUSTRATIONS

Solving Equations

• Finding all solutions of an equation is called solving the equation.
  方程式の全ての解を見つけることを方程式を解くという。
• To solve an equation, isolate the variable.
  方程式を解くには、変数を分離する。
• A variable is isolated when it appears by itself on one side of an equation.
  変数が等式の一方の辺に単独で表されるとき、変数は分離されている。
• Isolate a variable by using inverse operations, which undo operations on the variable.
  逆演算(変数への演算を取り消す)を使うことで、変数を分離する。
• When you perform the same operation on both sides of an equation, the two sides remain equal. (Properties of Equality)
  等式の両辺に同じ演算を行っても、ふたつの辺は等しいまま。（等式の性質）

Solving Equations

Properties of Equality

• Properties of Equality
  等式の性質
  • You can perform the same operation on both sides of an equation.
    等式の両辺に同じ演算を実行することができる。

Properties of Equality

WORDS AND PHRASES

✅isolate を分離する

✅remain {引き続き}～のままである

✅perform {楽しませるため}(を)演じる；
　　　　　　{特に有用・困難なことを}実行する

TIPS

In solving equations, the concept of ‘isolating’ the variable x is introduced. The method of isolation involves the following repetition:

1. Remove the obstacles with inverse operations.
2. Perform the same operation on the opposite side in order to keep the equality.

Mastering the properties of equality is extremely important!
Including similar techniques, namely adding (or multiplying) something convenient for yourself and then subtracting (or multiplying by the reciprocal) for consistency, these methods will appear everywhere in the future.
For example:

• Solving simultaneous equations
• Completing the square in quadratic functions
• Composition of trigonometric functions (in high school)

Perhaps to demonstrate this importance, many textbooks describe all four arithmetic operations of the properties of equality — addition, subtraction, multiplication, and division — in both text and formulas.
Textbooks in Japan, too!