11th Grade Math Help

This is a representative list of topics covered in our Grade 11 Math program - however all programs will be customized for the individual student.

TutorVista's Online Math Tutoring gets you ahead

With TutorVista's online 11th Grade Math tutoring, students understand Math concepts and learn to solve math problems quickly and easily. TutorVista sessions are just like having a tutor besides you at home or in a classroom. The tutor and student talk to each other using voice (VoIP) and share an interactive whiteboard to work problems, simulations, assessments and other tasks. The one on one interactive session with the tutor helps you get an edge in the subject.

Tips to Achieve Grades

• Complete coverage of all topics as per the 11th Grade Standard Math Curriculum.
• Unlimited questions in more than 1000 skills covering the entire 11th Grade math lessons.
• Math is made simpler and easy, with 11th Grade Math Problems, and easy steps to follow.
• Online live tutor explaining step by step solution to problems.
• Helps students at any time around the clock regardless of place where they are located.

Note:

Remember that 11th Grade Math is very important, since all the topics will be the base for 12th Grade Preparations. Please , get into the theory, understand the logic and solve more examples to get a hold on the Subject.

Important topics covered under 11th Grade Math:

• Number System
• Algebra I
• Algebra II
• Pre Calculus
• Calculus
• Statistics
• Geometry
• Trigonometry
• Advanced Trigonometry

Standard Math Curriculum - 11th Grade Math

• 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, counterexamples
• Correlation for data
• Patterns, relations, functions
• Changing parameters of given functions
• Graphs, matrices, sequences, series, recursive relations
• Radical equations/inequalities
• Limits and infinity

• Logical reasoning
• Geometric proofs
• Euclidean/non-Euclidean geometries
• Formal/informal proofs
• Conditional statements
• Pythagorean Theorem
• Intersection of a plane with 3-d figures
• Congruence, similarity, triangle inequality theorem
• Properties of quadrilaterals, circles, parallel lines cut by a transversal
• Angles of triangles and polygons
• Basic constructions
• Triangle congruence relationships
• Similarity properties and transformations, trigonometric ratios, Pythagorean triples
• Coordinate geometry
• Special right triangles
• Properties of inscribed/circumscribed polygons of circles
• Rotations, translations, reflections
• Planar cross-sections; perpendicular lines/planes
• Effect of rigid motions on figures, isosceles triangle theorem; polyhedra
• Parabolic functions (vertex, axis of symmetry)
• Compound loci in the coordinate plane

• Types of events
• Measures of central tendency/dispersion, quartiles, interquartiles
• Permutations and combinations
• Methods of data representation
• Statistical experiments (more than one variable)
• Correlation and causation

• Probability problems with finite sample spaces
• Conditional probability
• Discrete/continuous random variables
• Mean, variance of discrete random variable
• Standard distributions
• Mean, standard deviation of normally distributed random variable
• Central limit theorem
• Line of best fit - least squares regression
• Correlation coefficient
• Statistic of a distribution
• Mean, standard deviation of sampling distribution
• Mean, standard deviation of population distribution
• Confidence intervals
• P-value for a statistic
• Chi-square distribution/test

• Absolute value to solve equations/inequalities
• Systems of linear equations/inequalities
• Operations on polynomials
• Factoring polynomials/trinomials
• Operations on complex numbers
• Operations on rational expressions
• Graphing quadratic equations
• Quadratic equations in complex number system
• Quadratic functions
• Laws and properties of logarithms
• Fractional exponents, exponential functions
• Conic sections
• Ellipse, parabola, hyperbola
• Binomial theorem
• Types of series
• Composition of functions
• Continuous and discrete functions
• Complex numbers for solutions of quadratic equations
• Factoring, exponents
• Systems of equations/inequalities
• Estimation of solutions
• Standard functions
• Inverse of a function
• Solutions of function equations
• Slope, various forms of equation of line

• Graphing functions
• Trigonometric functions
• Formulas for sines and cosiness
• Polar/rectangular coordinates
• Complex numbers in polar form
• DeMoivre's theorem
• Inverse trigonometric functions
• Area of triangle (one angle and 2 adjacent sides)

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• 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
• Sequences and series

• Limits- operations on functions
• Continuity of a function
• Intermediate value, extreme value theorem
• Derivatives, differentiability
• Derivatives of functions
• 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)
• Differentiation to solve problems
• Definite/indefinite integrals
• Riemann sums
• Fundamental theorem of calculus
• Definite integrals problems
• Techniques of integration
• Inverse trigonometric functions
• Integrals of functions
• Simpson's rule, Newton's method
• Improper integrals (limits of definite integrals)
• Tests for convergence/divergence of sequences/series
• Power series, Taylor series/polynomials
• Elementary differential equations

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• Types of linear systems
• Gauss-Jordan elimination, Gauss-Jordan method
• Vectors and vector addition
• Geometrical solution sets of systems of equations
• Rectangular matrices to row echelon form
• Matrix multiplication
• Inverse to a square matrix
• Determinants of 2 by 2 and 3 by 3 matrices
• Row reduction methods, Cramer's rule
• Scalar (dot) product

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• Various forms of complex numbers
• Mathematical induction
• Roots and poles of rational functions
• Graphing rational functions - asymptotes
• Limits of sequence/function

• Theoretical/empirical probability
• Probability models
• Studying patterns and analyzing data
• Rates, linear functions, direct/inverse variation
• Problems related to personal income, credit, financial planning
• Transformations, symmetry