Math Tutoring - 3 Basics Steps to master Reading Mathematics Formulas

Homeschool Math Worksheets - Math Tutoring - 3 Basics Steps to master Reading Mathematics Formulas

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Understanding how to read mathematics formulas requires a basic understanding of the formula vocabulary and how to identify formula reading patterns. We will focus on how to read Mathematical formulas and learn how this formula reading pattern can be used with formulas from different subjects (i.e. Algebra, Geometry, Chemistry, Physics). Knowing how to read Mathematics formulas is primary for maximum understanding and easy memory recall.

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Homeschool Math Worksheets

It is my hope that you will see a pattern with reading formulas over different subjects. Why is finding a pattern over subjects so important? Students often feel like they are learning something new each time they are introduced to a Math formula in another class or course. Fact remains, the same methods you use to read formulas in Algebra are the exactly same methods used to read formulas in Trigonometry, Physics, Chemistry, Economics, etc. So the key is mastery of reading formulas in Algebra.

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

Step 2: identify and learn the basic Mathematics equation vocabulary and use as often as potential while doing problems. A good mathematics teacher (e.g. Tutor, mentor, teacher, ...) will help you engage this vocabulary as you are working on your problems. This vocabulary is beneficial when reading Math instructions, doing word problems, or solving Math problems. Let's define a basic set of basic Math formula (equations) vocabulary words below:

Variable - a letter or symbol used in mathematical expressions to characterize a quantity that can have different values (i.e. X or P)
Units - the parameters used to part quantities ( i.e. Length(cm, m, in, ft), mass (g, kg, lbs, etc))
Constant - a quantity having a fixed value that does not turn or vary
Coefficient - a number, symbol, or variable placed before an unknown quantity determining the estimate of times it will be multiplied
Operations - basic mathematical processes together with increasing (+), subtraction (-), multiplication (*), and agency (/)
Expressions-a combination one or more numbers, letters and mathematical symbols representing a quantity. (i.e. 4, 6x, 2x+4, sin(O-90))
Equation - An equation is a statement of equality in the middle of two mathematical expressions.
Solution - an respond to a problem (i.e. X = 5)

Step 3: Read formulas as a faultless view or statement-do not Only read the letters and symbols in a formula. What do I mean? Most population make the repeated error of reading the letters in a formula rather than reading what the letters characterize in the formula. This may sound simple, but this straightforward step allows a pupil to engage the formula. By reading the letters and symbols only, one cannot join together the formula with single vocabulary words or even the purpose of the formula.

For example, most population read the formula for area of a circle (A = "pi"r2) just as it is written - A equals pi r squared. Instead of just reading the letters and symbols in the formula, we propose reading formulas like A = "pi"r2 as a faultless view using all the graphic words for each letter: The area (A) of a circle is (=) pi multiplied by the radius (r) of the circle squared. Do you see how the formula is a faultless statement or thought? Therefore, one should read formulas as a faultless statement (thought) as often as possible. It reinforces what the formula means in the mind of the reader. Without a clear relationship of Math formulas with their respective vocabulary, it makes applications of those formulas near impossible.

Example of formulas and the subjects where they are introduced:

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

Algebra - Perimeter of a Rectangle: P = 2l+ 2w
Perimeter (P) of a rectangle is(=) 2 times the length(l) of the rectangle plus 2 times the width (w) of the rectangle.
o P- perimeter of the rectangle
o l- part of longest
o w- part of shortest

Geometry - Triangles Interior Angles Sum Theorem: m&Eth;1 + m&Eth;2 + m&Eth;3 = 180
The part of angle 1 (m&Eth;1), plus the part of angle 2 (m&Eth;2) plus the part of angle 3 (m&Eth;3) of a triangle is 180 degrees.
o m&Eth;1 - perimeter of the rectangle
o m&Eth;2 - part of a side
o m&Eth;3 - part of the width

Knowing the units for each quantity represented in these formulas plays a key role in solving problems, reading word problems, and clarification interpretations, but not merely reading the formulas.

Use these steps as a reference and learn how to read Mathematics formulas more confidently. Once you devotee the basics of formulas, you will be a Learner4Life in different subjects that use Math formulas!

I hope you will get new knowledge about Homeschool Math Worksheets. Where you may put to used in your daily life. And most importantly, your reaction is passed about Homeschool Math Worksheets.