During the course of your stay with us, our expert Tutors will help you master the concepts of Math and methods of cracking it with step-by-step examples. We follow the same curriculum that is followed in your school.
Basic Math may be divided roughly into the following categories:
- Basic Computation (addition, subtraction and multiplication)
- Number Notation
- Interest
- Constants
- Fraction-Decimal Conversion
- Study of units, measurements, and its conversions
Pre Algebra is an integral part of your curriculum. Our tutors will ensure that you understand the basic concepts and master the lessons.
Pre-algebra includes several broad subjects:
- Review of natural- and whole-number arithmetic
- Introduction of new types of numbers such as Integers, fractions, decimals and negative numbers.
- Factorization of natural numbers.
- Properties of operations (associative, distributive and so on).
- Simple roots and powers.
- Rules of evaluation of expressions, such as operator precedence and use of parentheses.
- Basics of equations, including rules for invariant manipulation of equations.
- Variables and exponentiation.
You can count on our tutors who will make math come alive with its many intriguing calculations and solutions.
Algebra may be divided roughly into the following categories:
Elementary algebra, in which the properties of operations on the real number system are recorded using symbols as "place holders" to denote constants and variables, and the rules governing mathematical expressions and equations involving these symbols are studied (note that this usually includes the subject matter of courses called intermediate algebra and college algebra);
Abstract algebra, sometimes also called modern algebra, in which algebraic structures such as groups, rings and fields are axiomatically defined and investigated;
Linear algebra, in which the specific properties of vector spaces are studied (including matrices);
Universal algebra, in which properties common to all algebraic structures are studied.
Welcome to Trigonometry
Trigonometry has important applications in many branches of pure mathematics as well as of applied mathematics and, consequently, much of science.
Trigonometry may be divided roughly into the following categories:
- Basic definitions
- Extending the definitions
- Mnemonics
- Calculating trigonometric functions
- Early history of trigonometry
- Applications of trigonometry
- Common formulae
- Trigonometric identities
- Pythagorean identities
- Sum and difference identities
- Double-angle identities
- Half-angle identities
- Triangle identities
- Law of sines
- Law of cosines
- Law of tangents
Want to study the configuration of points and lines in flat and curved spaces? Our Tutors are well trained to help you with your daily lessons on vector calculus, differential geometry of curves and surfaces, tensor calculus, differential geometry and general relativity, as well as projective and non-Euclidean geometry.
Geometry includes several broad subjects:
- Basics of Geometry
- Segments and Angles
- Parallel and Perpendicular Lines
- Triangle Relationships
- Congruent Triangles
- Quadrilaterals
- Similarity
- Polygons and Area
- Surface Area and Volume
- Right Triangles and Trigonometry
- Circles
Ask our tutors to assist you with differential and integral calculus.
Calculus includes several broad subjects:
- How to find the derivative of various functions. (The process of doing so is called "differentiation".)
- How to use derivatives to solve various kinds of problems.
- How to go back from the derivative of a function to the function itself. (This process is called "integration".)
- Study of detailed methods for integrating functions of certain kinds.
- How to use integration to solve various geometric problems, such as computations of areas and volumes of certain regions.
Statistics and Probability
Exploring Univariate and Bivariate date
- Given the mean, variance, and standard deviation of a data set, compute the mean, variance, and standard deviation if the data undergo a linear transformation.
- Compute and interpret the within-group and between-group variation when comparing two or more data sets.
- Compute residuals and use plots of residuals to assess the adequacy of a simple linear regression model.
- Identify influential points in a bivariate data set and predict and verify the effect of their removal on the least-squares line.
- When applicable, use logarithmic and power transformations to achieve linearity and use the transformed data to make predictions.
- Explore categorical data via contingency tables, computing and interpreting marginal, joint, and conditional relative frequencies and examining measures of association.
- Know the subjective and relative frequency interpretations of probabilities, including an informal understanding of the law of large numbers.
- Use basic probability rules such as the addition rule, law of total probability, and complement rule to compute probabilities in a variety of models.
- Use Bayes’ Theorem to solve conditional probability problems, with emphasis on the interpretation of results.
- Know the definition of random variable and be able to derive a discrete probability distribution based on the probability model of the original sample space.
- Compute the expected value and standard deviation of discrete random variables and know the effect of a linear transformation of a random variable on its mean and standard deviation.
- Apply standard discrete distributions, including the binomial, geometric, and hypergeometric.
- Know the definition of independence of two discrete random variables and use the joint distribution to determine whether two discrete random variables are independent.
- Use tables and technology to determine probabilities and percentiles of normal distributions.
- Use simulation methods to answer questions about probability models that are too complex for analytical treatment at this level, e.g., interacting particle system models.
- Know the terminology and logic of significance testing, including null and alternative hypotheses, p-value, Type I and Type II errors, and power.
- Assuming a normal model and known standard deviation, carry out a significance test for a single mean, with emphasis on understanding the computation and interpretation of the p-value, and compute the power curve of a test.
- Carry out (large sample) significance tests for one proportion and the difference of two proportions, with emphasis on proper interpretation of results.
- Carry out significance tests for one mean and the difference of two means (paired and unpaired) using the t distribution, with emphasis on proper interpretation of results.
- Carry out chi-squared significance tests of homogeneity, independence, and goodness-of-fit, with emphasis on proper interpretation of results.
- Assuming a normal model and known standard deviation, compute the sample size necessary to achieve a pre-specified power at a pre-specified value of the population mean.
- Demonstrate, in the context of specific studies, the understanding that a result can be statistically significant while of insignificant practical importance and that a failure to reject a null hypothesis may be due to low power and does not necessarily imply the null hypothesis is true.
- Know the statistical model for regression, including linearity, normality of errors, and constancy of error variance.
- Compute and interpret a confidence interval for the slope of a regression line using the t distribution.
- Test hypotheses about the slope of a regression line, with emphasis on interpretation of results.
- Demonstrate knowledge of the assumptions required for all of the inferential procedures
(confidence intervals and significance tests). - In the context of specific studies, recognize aspects of study design that either support or offer evidence against required assumptions.
- Demonstrate knowledge of the possible effects of incorrect assumptions (i.e., improperly specified models) on inferential procedures and of the robustness of inferential procedures to departures from specified assumptions.
- Show in context an understanding that statistical models are approximations to reality and that care should be exercised in assigning too much precision to measures such as confidence levels or p-values.
This course will prepare you for the math you will see on the SAT. Many of you are intimidated by math on the SAT. There is math up to Algebra II, with symbols, shapes and formulas to learn and master.
- How to prepare for the SAT
- Introduction to SAT Math
- Number Operations
- Properties of integers & LCM, HCF
- Rational numbers, ratio, and proportion & Percentage problems
- Logical reasoning, Sets, Sequences & series, & Elementary number theory
- Number Properties
- Averages
- Ratios and rates
- Percents
- Powers and Roots
- Graphs
- Basic Algebra
- Advanced Algebra
- Word Problems
- Substitution & simplifying algebraic expressions
- Properties of exponents
- Linear equations and inequalities
- Quadratic equations
- Rational and radical equations
- Algebraic functions
- Equations of lines
- Absolute value
- Direct and inverse variation
- Geometry
- Lines and Angles
- Triangles
- Quadrilaterals
- Circles
- Multiple figures
- Coordinate Geometry
- Geometric visualization
- Slope
- Similarity
- Transformation
- Area and perimeter of a polygon
- Volume of a box, cube, and cylinder
- Pythagorean Theorem
- Isosceles, equilateral, and right triangles
- Parallel and perpendicular lines
- Solids
- Probability, Statistics & Data Analysis
- Data interpretation, Statistics & Probability
- Permutation & Combination
- Three SAT model test to assess student's performance and improvement
Sophomores in high school may take the Preliminary SAT/National Merit Scholarship Qualifying Test, commonly referred to as the PSAT test. As the name suggests, this is a test designed to measure the same sorts of skills as, and prepare students for, the SAT test which is given to high school juniors.
The PSAT test is a challenging test, which is mostly multiple choice. The math section of the PSAT/NMSQT requires a basic knowledge of number and operation; algebra and functions (though not content covered in third-year math classes--content that will appear on the new SAT); geometry and measurement; and data analysis, statistics, and probability.
- Mathematical reasoning
- Standard Multiple-Choice
- Hand-calculated responses(with Grid)
- Arithmetic
- Work within Parenthesis
- Simplify Exponents
- Multiplication and Division
- Addition and Subtraction
- Divisibility
- Multiplication
- Addition
- Subtraction
- Evens and Odds
- Prime numbers
- Percents
- Square of a number exponents
- Roots
- Averages
- Geometry and measurement
- Data analysis
- Statistics and probability
The ACT is a test given to high school juniors who plan to attend college, in order to test their knowledge base. It's given several times a year, all over the nation. Scores on the ACT test range from 1-36, and can have a huge impact on whether or not you're admitted to the college of your choice.
Because the ACT test is so important, and can have such a huge impact on your future, it's important to do as well as possible on the test. And if you choose, you can retake the test in your senior year. If you score higher, you can have that score sent to colleges instead. So if you think you can do better, you should definitely give it a shot.
- Number Types
- Integers
- Odd and Even Numbers
- Prime Numbers
- Digits
- Addition and Multiplication of odd and even numbers
- Percent less than 100
- Percent Greater than 100
- Percent less than 1
- Percent Increase/Decrease
- Average
- Weighted Average
- Average Speed
- Properties of signed numbers
- Factoring
- Probability
- Geometric figures
- Geometric Skills and concepts
- Properties of Parallel Lines Angle Relationships
- Side Relationships
- Area and Perimeter
- Rectangles
- Circles
- Triangles
- Volume
- Coordinate Geometry
Many graduate and professional schools require applicants to take the Graduate Record Examination (GRE) test. There are three different portions of the GRE test, and three different scores. There is no passing or failing cutoff, but the higher your score the better your chances of getting into the program you're considering.
The quantitative reasoning is the math section of the test, and will demonstrate your grasp of basic math, algebra, geometry and data analysis, and your ability at reasoning with numbers. The two reasoning portions are multiple choice. The GRE test is extremely challenging, and should not be taken lightly, considering the impact it can have on both your academic and employment career.
- Arithmetic
- Integers & Number Theory
- Fractions
- Decimals
- Percent
- Ratio and Proportion
- Exponents & Roots
- Sets
- Permutation and Combination
- Probability
- Sequences
- Algebra
- Simple Equation
- Simultaneous Equations
- Quadratic Equation
- Defined Functions
- Inequalities
- Factoring
- Geometry
- Lines and Angles
- Triangles
- Circles
- Solids
- Coordinate Geometry
- Comprehensive Practice Questions
- Word Problem
- Interest, Discount and Profit
- Rate & Time
- Work
- Averages and Medians
- Mixture
- Age Problem
- Doubling
- Sales Commission
- Decision Tree
- Data Interpretation
- Quantitative Comparison
The Graduate Management Admission Test (GMAT) is a standardized test that's used to predict a college graduate's likelihood of succeeding in graduate schools of business. Scores range between 200 and 800 on the GMAT test, and everything else being equal, a higher score naturally improves your chances of gaining admission to the business school of your choice.
Quantitative part of the test lasts for 75 minutes and consists of 37 multiple questions concerning problem solving and data sufficiency. The GMAT test is a fairly difficult test, and should not be taken lightly. Because so much is riding on a good score, you'll want to start preparing long before you actually take the test.
- Arithmetic
- Integers & Number Theory
- Fractions
- Decimals
- Percent
- Ratio and Proportion
- Exponents & Roots
- Sets
- Permutation and Combination
- Probability
- Sequences
- Algebra
- Simple Equation
- Simultaneous Equations
- Quadratic Equation
- Defined Functions
- Inequalities
- Factoring
- Geometry
- Lines and Angles
- Triangles
- Circles
- Solids
- Coordinate Geometry
- Comprehensive Practice Questions
- Word Problem
- Interest, Discount and Profit
- Rate & Time
- Work
- Averages and Medians
- Mixture
- Age Problem
- Doubling
- Sales Commission
- Decision Tree
- Data Interpretation
- Data Sufficiency
We have designed a focused summer programs for your children to ensure that they are well prepared for the next academic year. Our tutors will teach all the concepts covered at each grade level to ensure that your child feels confident from the first day of the following school year.
- Elementary
- Middle school
- High school
