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 Mathematical education - 3 basics. Steps in mathematics. -2

Understanding how to read formulas in mathematics requires a basic understanding of the vocabulary formulas and how to recognize patterns of reading formulas. We will focus on how to read mathematical formulas and learn how this formula reading formula can be used with formulas of various subjects (for example, algebra, geometry, chemistry, physics). Knowledge of how to read the formulas of mathematics is necessary for maximum understanding and memorization of memory.

I hope that you will see a sample with formulas for reading on different topics. Why is it so important to see the pattern in subjects? Students often feel that they are learning something new every time they are entered into a Math formula in another class or course. The fact remains, the same methods that you use to read formulas in algebra are exactly the same methods used to read formulas in trigonometry, physics, chemistry, economics, etc. Thus, the key is mastering the reading of formulas in algebra .

Step 1. Understand what a formula is. What is a mathematical formula? An equation (i.e. F = ma) that expresses a general fact, rule, or principle.

Step 2: Identify and learn the basic mathematical vocabulary of equations and use as often as possible when performing tasks. A good math teacher (for example, a tutor, mentor, teacher, ...) will help you tap into this vocabulary when you work on your own problems. This dictionary is useful when reading math instructions, performing word problems or solving math problems. Let's define a basic set of basic words of the formula (equations) vocabulary below:

Variable — A letter or symbol used in mathematical expressions to represent a quantity that can have different values ​​(for example, x or P)
Units — Parameters used to measure quantities (for example, length (cm, m, inch, feet), mass (g, kg, lbs, etc.)
A constant is an amount that has a fixed value that does not change or changes
Coefficient - a number, symbol or variable, placed up to an unknown quantity, defining the number of times it will multiply
Operations are basic mathematical processes, including addition (+), subtraction (-), multiplication (*) and division (/)
Expressions are a combination of one or more numbers, letters, and mathematical symbols representing a number. (i.e. 4, 6x, 2x + 4, sin (O-90))
The equation. An equation is a statement of equality between two mathematical expressions.
Solution - the answer to the problem (t. E. X = 5)

Step 3: Reading formulas as a complete thought or statement - not just read the letters and symbols in the formula. What I mean? Most people make the repeated mistake of reading the letters in a formula, instead of reading what the letters represent in the formula. It may seem simple, but this simple step allows the student to use the formula. Reading only letters and symbols, it is impossible to associate a formula with specific dictionaries of a word or even for the purpose of a formula.

For example, most people read the formula for the area of ​​a circle (A = "pi" r2) in the same way as it says - A is equal to the square of pi r. Instead of just reading letters and symbols in a formula, we suggest reading formulas, such as A = "pi" r2, as a complete thought, using all descriptive words for each letter: the area (A) of a circle is (=) pi along (r) square of a circle. Do you see how the formula is a complete statement or thought? Therefore, it is necessary as often as possible to read formulas as a complete statement (thought). This reinforces what the formula means in the reader's mind. Without an explicit connection of mathematical formulas with their relative vocabulary, the use of these formulas is almost impossible.

An example of formulas and where they are entered:

PRE-ALGEBRA - Circle Area: A = "pi" r2
The area (A) of the circle is pi multiplied by the radius (r) of the square of the circle
o A-area of ​​a circle
o "pi" - 3.141592 - the ratio of the circumference to the diameter of the circle
o r is the radius of the circle

ALGEBRA - Rectangle perimeter: P = 2l + 2w
The perimeter (P) of the rectangle is equal to (=) 2 times the length (l) of the rectangle, plus 2 times the width (w) of the rectangle.
o P-perimeter of a rectangle
o l - the largest indicator
o w - the indicator of the shortest

GEOMETRY - Triangles Internal angles Sum Theorem: m11 + m22 + m33 = 180
The measure of angle 1 (m11) plus the measure of angle 2 (m22) plus the measure of angle 3 (m33) of a triangle is 180 degrees.
o m11 - the perimeter of the rectangle
o m22 - side measure
o m33 - measure of width

Knowledge of the units for each value represented in these formulas plays a key role in solving problems, reading problems with text and interpreting solutions, but not just when reading formulas.

Use these steps as a reference and learn to read math formulas more confidently. When you master the basics of formulas, you will be Learner4Life in different subjects that use mathematical formulas!




 Mathematical education - 3 basics. Steps in mathematics. -2


 Mathematical education - 3 basics. Steps in mathematics. -2

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