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Showing posts from June, 2016

Mathematician's Brain Differs

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GOTO  MATHEMATICIAN'S BRAIN

Identification of a network of brain regions involved in mathematics

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GOTO  BRAIN REGIONS MATH

PROMOTING GROWTH MINDSET IN MATHEMATICS CLASSROOM

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PROMOTING GROWTH MINDSET IN MATHEMATICS CLASSROOM

MATH GUIDE e-book officially launched on Amazon Kindle Sore

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GET MATHGUIDE E-BOOK HERE

Maths and reading skills found to be 75 per cent genetic

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MATH AND READING SKILLS

Playing this simple game boosts the mathematical ability of five-year-olds

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MATHEMATICS ABILITY BOOST

This 5-minute game makes kids better at math

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This 5-minute game makes kids better at math

MATH RESOURCES FOR TEACHERS AND STUDENTS

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MATH RESOURCES
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NCERT BOOK LINK
LEARN GEOGEBRA MATHEMATICS CONTENT ALONG WITH PRESENTATIONS, E-BOOK, VIDEOS AVAILABLE on www.mathguide.org
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Follow the link  http://www.mathguide.org/e-book.html  download e-book on mathematics covering basic mathematics concepts and topics
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LESSONS MATHEMATICS

QUADRATIC EQUATION

GO TO QUADRATIC EQUATION QUADRATIC EQUATION       A polynomial of degree two is called quadratic polynomial       General form of quadratic polynomial is ax 2 +bx+c, a,b,c are real numbers and a≠0.       If for x= α, α ϵ R, the value of quadratic polynomial becomes zero, then α is called zero of the quadratic polynomial.       The equation ax 2 +bx+c=0, a≠0 is called quadratic equation.       If α and β are two zeros of  ax 2 +bx+c=0, then we say that α and β are roots of the quadratic equation.

LINEAR EQUATIONS

GO TO LINEAR EQUATIONS LINEAR EQUATION       A statement of equality which involves literals / variables is called equation.       An equation in which the highest degree of the variable is one is called linear equation . LINEAR EQUATION IN ONE VARIABLE       If only one variable is involved, then it is called linear equation in one variable.       An equation of the form ax+b=c, where a,b,c are numbers, a≠0 and ‘x’ is a variable        LINEAR EQUATION IN TWO VARIABLES       A linear equation with two variables is called linear equation in two variable say x and y but the highest degree of each variable is one. Linear equation of the form ax+by+c=0 is called linear equation in two variables.

POLYNOMIALS

GO TO POLYNOMIALS POLYNOMIALS       A polynomial is an algebraic expression consisting of sum of terms with each term containing a variable or variables raised to a power and multiplied by a coefficient. In polynomial, variables have non-negative integral exponents.       A polynomial that contains only one variable, say x, is known as polynomial in one variable x.         Highest exponent of polynomial is called degree of the polynomial .

ALGEBRAIC EXPRESSION

GO TO ALGEBRAIC EXPRESSIONS ALGEBRAIC EXPRESSIONS The letters which are used to represent numbers are often given the name literal numbers or literals         An algebraic expression is a combination of numbers, literals and arithmetical operations.          Monomials: An algebraic expression consisting of only one term e.g. 23, 3y, xyz etc.        Binomials : An algebraic expression consisting of two terms e.g. 3x-y, 2x+1 etc.

SEQUENCE AND SERIES

GO TO SEQUENCE AND SERIES SEQUENCE AND SERIES SEQUENCE – An arrangement of numbers in a definite order according to some rules. TERM – various numbers occurring in a sequence are called its terms.   We denote a sequence as :         a 1 , a 2 , a 3 , …, a n It is a sequence having n terms. a 1 is the first term and a n is the n th term. n th term is also called the general term of a sequence. Sequence having finite number of terms is called finite sequence and sequence having infinite number of terms is called infinite sequence. 1.        Arithmetic Progression (A.P)         A sequence   a 1 , a 2 , a 3 , …, a n is called arithmetic progression if a n+1 = a n + d, n ϵ N        2.      Geometric Progression (G.P.)  A sequence   a 1 ,a 2 ,a 3 ,…,a n is called geometric progression if each term is non-zero and, a k+1 / a k =r (constant) for all k ≥ 1         a, ar, ar 2 , ar 3 ,… is a G.P. where a is the first term and r is the common ratio.

LOGARITHMS

GO TO LOGARITHMS LOGARITHMS     John Napier, a Scotish Mathematician invented logarithms in 1614.     Logarithm is derived from word ‘logos’ meaning ratio and ‘arithmos’ meaning number.      Henry Briggs introduced common logarithms in 1624. Definition – For each positive real number a, a≠1, the unique real number ‘m’ is called the logarithm of ‘b’ to the base ‘a’. Mathematically, log a b = m, iff a m = b. e.g. 9 3 = 729 where a = 9, m = 3 and b = 729, then log 9 729 = 3 NATURAL LOGARITHM AND COMMON LOGARITHM Natural Logarithm – log to the base ‘e’ (e = 2.71828 approx.) Common Logarithm – log to the base 10

SETS

GO TO SETS Theory of Set was developed by German mathematician Georg Cantor. Set is a well-defined collection of objects so that we can definitely decide whether a given object belongs to a given collection or not. e.g. Vowels in English language,  Solution of a quadratic equation Set is usually denoted by capital alphabets. Elements are denoted by small alphabets.Sets can be written in two ways : 1.   Roster form – e.g. {a,e,i,o,u}, {1,2,3,4} 2.   Set builder form – e.g. {x : x is a vowel}

PERCENTAGE AND ITS APPLICATIONS

GO TO PERCENTAGE AND APPLICATIONS PERCENTAGE AND ITS APPLICATIONS A fraction with denominator 100 is called a percent. Latin word “per centum” means ‘per hundred’. APPLICATIONS OF PERCENTAGE Profit and Loss       Profit – The margin (extra money) earned after selling a product at a higher price than its cost is called profit.       Loss – The money lost on selling a product at a price lower than its cost. Simple Interest       Principal (P) – the amount of money borrowed or deposited       Rate (R) –   a percentage of the principal is added to the principal, making money grow in a given period of time.       Time (T) – time for which the money is borrowed or deposited.       Interest (I) – the additional or extra money returned or obtained on borrowing or depositing a money for a given period of time at a given rate of interest.       Amount (A) – The total money which is returned obtained at the end of a specified period of time at a given rate of interest.        Simple Interest (S.I

RATIO AND PROPORTION

GO TO RATIO AND PROPORTION RATIO AND PROPORTION 1.               RATIO – When we compare two quantities of the same kind (with respect to their magnitudes) by division, we say that we have formed a ratio. Points to remember – 1.               A ratio has no units in itself i.e. a ratio is purely a number, it has no unit attached to it. 2.               The numbers a and b in a ratio a:b are called terms of a ratio. 2.            PROPORTION – Equality of two ratios is called proportion. We write proportion as a:b :: c:d or a/b = c/d.

NUMBER SYSTEM

GO TO NUMBER SYSTEM NUMBER SYSTEMS 1.            Natural Numbers 2.            Whole Numbers 3.            Integers 4.            Rational Numbers Irrational Numbers       Natural Numbers (Or counting numbers) {1,2,3,4…} e.g. a.   Numbers of Days in a week. b.   Number of pages in a book. c.    Number of schools in a city.  Whole Numbers          {0,1,2,3, 4…} Integer Numbers – Number system consisting of natural numbers, their negatives and number 0 is called integer number.                  {…-3, -2, -1,0,1,2, 3…} Rational Numbers – A rational number is of the form p/q where p and q are integers and q≠0. e.g. 6/5, 5/6, -8/9 etc. Irrational numbers – Numbers which cannot be written in the form p/q where p, q are integers and q≠0. These numbers can be written as decimals but cannot be expressed as fractions i.e.  irrational numbers have non-termination and non-recurring decimal. e.g.  π,  √2, √5 etc.