Hey friends! Today we will make you aware with all those math topics which you actually need to care of in XI standard. Everyone knows the importance of 12th grade because that is the actual stage for which students are being prepared from long while. And so on the importance of XIth standard raise automatically because this is the last platform to being a fluent free math problem solver. Math of 12th grade includes various optimized applications which are further being included in higher studies and XIth standard is the stage where students learn final level concepts of several math branches which are used as tool to solve complex math application problems of grade 12.
Let's start with the major categorization of XI grade math, all the math problems are divided into 9 units which are as
Number System, Algebra 1"> Algebra 1, Algebra XI, Pre Calculus, Calculus, Statistics, Geometry, Trigonometry and Advanced Trigonometry. You can also play statistics worksheets online.
As it gets clear that every math branch is included in this vast Grade XI syllabus and important thing is that every branch having both initial level and higher level problems to work on.
Firstly start with Number system, this unit is no longer newer for students because they are dealing with it since their earlier classes. This time students have to solve various number systems, queries related to Estimating and rounding while using arithmetic operations in parallel.
Now its time to move towards second unit of XI standard which is Algebra I. In general, Algebra covers a major part of Grade XI syllabus because Algebra problems are categorized in 3 units as Algebra I, Algebra ii and linear algebra. As the standard syllabus concerns, these 3 units are not put in continuous manner because where Algebra I includes initial level algebra problems at the same time Algebra ii have much higher complex algebraic queries and linear algebra is an unit where students has to evaluate number of equations in parallel. Let us take every algebra unit individually and see what actually they are having to serve in front of students. Starting with Algebra I, it includes 14 major topics as Linear equations/inequalities, Monomials and polynomials, Factoring second and third degree polynomials, Rational expressions/functions, Quadratic equations, Quadratic functions, Exponents, factors, variation, exponential growth/decay, Hypothesis, counter examples, Correlation for data, Patterns, relations, functions, Changing parameters of given functions, Graphs, matrices, sequences, series, recursive relations, Radical equations/inequalities and Limits and infinity. In above topics inequalities problems with limits and matrices problems are newer terms for students. Matrix is a kind of mathematical application which is used to solve complex queries in their optimized way. In this unit students learn general arithmetic operations implementation on matrices, which is required because matrices individually cover a major part of 12 grade syllabus.
Algebra ii content looks much heavier than Algebra I, but the fact is that this unit also follows some topics which are already being introduced in algebra 1 unit. These problems only gets distinct with their complexity level. Algebra ii have some standard theorems and functions which are merely required to solve particular type of math queries like Binomial theorem and conic sections. Valuable region of this unit is covered by Graphing problems which include the elements determination required to graph any algebraic equation like Slope calculation and inverse function for Ellipse, Parabola and Hyperbola. Other topics of Algebra ii are as System of Linear equations, laws of Algorithms, Types of Series and Estimation of Solutions.
That’s all what students are going to start up in their Grade XI math problems. To be continuing with Algebra region in this syllabus let us talk about Linear Algebra session of it. This part of Algebra is almost a scheduled portion of 12th grade syllabus which includes evaluation of system of linear equation by using Matrix properties. Most important thing is that students will learn the use of standard ways like Gauss – Jordan and Gaussian elimination to solve system of equations. In linear algebra section students get aware of Matrix important functionality like Row reduction methods ( Cramer's rule) and its practical use for solving complex system of equations. Apart from these, Linear Algebra also includes some vector related problems like vector addition and Scalar product.
So now we are in middle of Grade XI math syllabus where students are introduced with pre calculus. Calculus is another branch of mathematics which is introduced just before 12th standard starts. This branch of math deals with two parts: Differentiation and Integration. If any composition is decomposed in various derivatives to elaborate it then that form of calculus is Differentiation and inverse process of combining those derivatives as a single composition is Integration. Pre calculus includes some math queries where calculus basics are used to simplify them. Content of Pre calculus includes Limits of sequences, series, continuity, end behavior, asymptotes, limits, Regression, Law of Sines/Cosines, area formulas, Parametric/rectangular forms of functions, Vectors, Even/odd functions, significant values, Functions and operations, Conic sections- applications and Sequences and series. Most of the pre calculus applications are related to linear shaped or we can say geometrical presentations because the functions which are finally described as the result of pre calculus problems represent any linear shape on the 2D plane.
After getting introduced with pre calculus students immediately has to raise their bar for solving upper level calculus problems which are included in next unit. Major topics of calculus are Continuity of a function, Chain rule, Rolle's theorem, mean value theorem, and L'Hopital's rule, Maxima, minima, inflection points, intervals, Newton's method (approximating the zeros of a function), Riemann sums, Techniques of integration, Simpson's rule, Newton's method and Power series, Taylor series/polynomials. This is not the end of calculus part in Grade XI. The above one's are the applications which students has to go through with but to solve problems based on that applications some linear calculus fundamentals like Intermediate value calculation , extreme value theorem, Derivatives, differentiability and Derivatives of functions has to be learned.
Grade XI syllabus is a vast one amongst other classes because it includes very much detailed interpretation of every mathematics branch. The next unit of Grade XI math is covered by Statistics. This branch is always being a non comfortable part of math for students because of term Probability in it. Students have to deal with headache of probability queries here also. In this very well categorized syllabus Statistics is partitioned in two continuous units, the first unit includes the general and standard principles implication of probability with additive clause of conditional probability whereas the second unit comprises of application of probability. For making students well understood of probability they are forced to go through topics like Types of events, Measures of central tendency/dispersion, quartiles, interquartile, Permutations and combinations, Methods of data representation, Statistical experiments and Correlation and causation. After completion of Statistics first unit session every student gets much potential to use predefined theorems in various probability based applications like Standard deviation, Central limit theorem, P-value for a statistic and Chi-square distribution/test.
Now there are three more units remaining which covers Geometry, Trigonometry and Advanced Trigonometry. Let us begin with Geometry part, every student likes to solve geometry queries because their process of solving is being on the fixed size. There are not such moderation occurring in solving techniques but still one problem is there and that is time consumptions to solve and then draw the result. To make your mind alert this session of math includes problems based on Logical reasoning and conditional statements. Every time when there is submission of any standard principle or formula then its related problem beings the important topic similarly Geometry part also have some topics like Euclidean/non-Euclidean geometry, Pythagorean Theorem, Congruence, similarity, triangle inequality theorem, Coordinate geometry, Properties of inscribed/circumscribed polygons of circles, Rotations, translations, reflections, isosceles triangle theorem; polyhedra and Compound loci in the coordinate plane.
Now its time to let you know what is your last step to finish off Grade XI math, Trigonometry. Initially to make students comfortable with this branch, standard problems are introduced like trigonometric functions, Formulas for sines and cosines and Polar/rectangular coordinates. Now when students are well known about types of problems with which they have to deal, the real level of Trigonometry problems begin with problems on complex numbers in polar form, De Moivre's theorem, Inverse trigonometric functions and Area of triangle (one angle and 2 adjacent sides).
While studying any of the part of Grade XI math, students need to make sure that problem is well understood to him if any sort of problem occurs then students can use the immediate assistance provided by Online math tutoring websites with the help of expert math tutors. These Online education providers arrange the whole Grade XI syllabus in pretty moderate way where daily scheduled lesson sessions are arranged on students demand. These services are being highly reliable because of their 24 x 7 hours service.
In upcoming posts we will discuss about Linear Equations in XI Grade and Properties of inscribed and circumscribed polygons of circles. Visit our website for information on West Bengal class 12 syllabus
Let's start with the major categorization of XI grade math, all the math problems are divided into 9 units which are as
Number System, Algebra 1"> Algebra 1, Algebra XI, Pre Calculus, Calculus, Statistics, Geometry, Trigonometry and Advanced Trigonometry. You can also play statistics worksheets online.
As it gets clear that every math branch is included in this vast Grade XI syllabus and important thing is that every branch having both initial level and higher level problems to work on.
Firstly start with Number system, this unit is no longer newer for students because they are dealing with it since their earlier classes. This time students have to solve various number systems, queries related to Estimating and rounding while using arithmetic operations in parallel.
Now its time to move towards second unit of XI standard which is Algebra I. In general, Algebra covers a major part of Grade XI syllabus because Algebra problems are categorized in 3 units as Algebra I, Algebra ii and linear algebra. As the standard syllabus concerns, these 3 units are not put in continuous manner because where Algebra I includes initial level algebra problems at the same time Algebra ii have much higher complex algebraic queries and linear algebra is an unit where students has to evaluate number of equations in parallel. Let us take every algebra unit individually and see what actually they are having to serve in front of students. Starting with Algebra I, it includes 14 major topics as Linear equations/inequalities, Monomials and polynomials, Factoring second and third degree polynomials, Rational expressions/functions, Quadratic equations, Quadratic functions, Exponents, factors, variation, exponential growth/decay, Hypothesis, counter examples, Correlation for data, Patterns, relations, functions, Changing parameters of given functions, Graphs, matrices, sequences, series, recursive relations, Radical equations/inequalities and Limits and infinity. In above topics inequalities problems with limits and matrices problems are newer terms for students. Matrix is a kind of mathematical application which is used to solve complex queries in their optimized way. In this unit students learn general arithmetic operations implementation on matrices, which is required because matrices individually cover a major part of 12 grade syllabus.
Algebra ii content looks much heavier than Algebra I, but the fact is that this unit also follows some topics which are already being introduced in algebra 1 unit. These problems only gets distinct with their complexity level. Algebra ii have some standard theorems and functions which are merely required to solve particular type of math queries like Binomial theorem and conic sections. Valuable region of this unit is covered by Graphing problems which include the elements determination required to graph any algebraic equation like Slope calculation and inverse function for Ellipse, Parabola and Hyperbola. Other topics of Algebra ii are as System of Linear equations, laws of Algorithms, Types of Series and Estimation of Solutions.
That’s all what students are going to start up in their Grade XI math problems. To be continuing with Algebra region in this syllabus let us talk about Linear Algebra session of it. This part of Algebra is almost a scheduled portion of 12th grade syllabus which includes evaluation of system of linear equation by using Matrix properties. Most important thing is that students will learn the use of standard ways like Gauss – Jordan and Gaussian elimination to solve system of equations. In linear algebra section students get aware of Matrix important functionality like Row reduction methods ( Cramer's rule) and its practical use for solving complex system of equations. Apart from these, Linear Algebra also includes some vector related problems like vector addition and Scalar product.
So now we are in middle of Grade XI math syllabus where students are introduced with pre calculus. Calculus is another branch of mathematics which is introduced just before 12th standard starts. This branch of math deals with two parts: Differentiation and Integration. If any composition is decomposed in various derivatives to elaborate it then that form of calculus is Differentiation and inverse process of combining those derivatives as a single composition is Integration. Pre calculus includes some math queries where calculus basics are used to simplify them. Content of Pre calculus includes Limits of sequences, series, continuity, end behavior, asymptotes, limits, Regression, Law of Sines/Cosines, area formulas, Parametric/rectangular forms of functions, Vectors, Even/odd functions, significant values, Functions and operations, Conic sections- applications and Sequences and series. Most of the pre calculus applications are related to linear shaped or we can say geometrical presentations because the functions which are finally described as the result of pre calculus problems represent any linear shape on the 2D plane.
After getting introduced with pre calculus students immediately has to raise their bar for solving upper level calculus problems which are included in next unit. Major topics of calculus are Continuity of a function, Chain rule, Rolle's theorem, mean value theorem, and L'Hopital's rule, Maxima, minima, inflection points, intervals, Newton's method (approximating the zeros of a function), Riemann sums, Techniques of integration, Simpson's rule, Newton's method and Power series, Taylor series/polynomials. This is not the end of calculus part in Grade XI. The above one's are the applications which students has to go through with but to solve problems based on that applications some linear calculus fundamentals like Intermediate value calculation , extreme value theorem, Derivatives, differentiability and Derivatives of functions has to be learned.
Grade XI syllabus is a vast one amongst other classes because it includes very much detailed interpretation of every mathematics branch. The next unit of Grade XI math is covered by Statistics. This branch is always being a non comfortable part of math for students because of term Probability in it. Students have to deal with headache of probability queries here also. In this very well categorized syllabus Statistics is partitioned in two continuous units, the first unit includes the general and standard principles implication of probability with additive clause of conditional probability whereas the second unit comprises of application of probability. For making students well understood of probability they are forced to go through topics like Types of events, Measures of central tendency/dispersion, quartiles, interquartile, Permutations and combinations, Methods of data representation, Statistical experiments and Correlation and causation. After completion of Statistics first unit session every student gets much potential to use predefined theorems in various probability based applications like Standard deviation, Central limit theorem, P-value for a statistic and Chi-square distribution/test.
Now there are three more units remaining which covers Geometry, Trigonometry and Advanced Trigonometry. Let us begin with Geometry part, every student likes to solve geometry queries because their process of solving is being on the fixed size. There are not such moderation occurring in solving techniques but still one problem is there and that is time consumptions to solve and then draw the result. To make your mind alert this session of math includes problems based on Logical reasoning and conditional statements. Every time when there is submission of any standard principle or formula then its related problem beings the important topic similarly Geometry part also have some topics like Euclidean/non-Euclidean geometry, Pythagorean Theorem, Congruence, similarity, triangle inequality theorem, Coordinate geometry, Properties of inscribed/circumscribed polygons of circles, Rotations, translations, reflections, isosceles triangle theorem; polyhedra and Compound loci in the coordinate plane.
Now its time to let you know what is your last step to finish off Grade XI math, Trigonometry. Initially to make students comfortable with this branch, standard problems are introduced like trigonometric functions, Formulas for sines and cosines and Polar/rectangular coordinates. Now when students are well known about types of problems with which they have to deal, the real level of Trigonometry problems begin with problems on complex numbers in polar form, De Moivre's theorem, Inverse trigonometric functions and Area of triangle (one angle and 2 adjacent sides).
While studying any of the part of Grade XI math, students need to make sure that problem is well understood to him if any sort of problem occurs then students can use the immediate assistance provided by Online math tutoring websites with the help of expert math tutors. These Online education providers arrange the whole Grade XI syllabus in pretty moderate way where daily scheduled lesson sessions are arranged on students demand. These services are being highly reliable because of their 24 x 7 hours service.
In upcoming posts we will discuss about Linear Equations in XI Grade and Properties of inscribed and circumscribed polygons of circles. Visit our website for information on West Bengal class 12 syllabus
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