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High School Math Tutoring

Personalized Online Math Tutor for High School

Mathematics is a beautiful and useful language for understanding the basic concepts of education. Your math grades predict your lifetime earnings.

Algebra

1. Expressions, Equations and Inequalities

  • Construction, Interpretation, and Manipulation of Expressions
  • Solutions of Equations and Inequalities

2. Functions

  • Definitions, Representations, and Attributes of Functions
  • Operations and Transformations with Functions
  • Models of Real-World Situations Using Families of Functions

3. Families of Functions

  • Lines and Linear Functions
  • Exponential and Logarithmic Functions
  • Quadratic Functions
  • Power Functions
  • Polynomial Functions
  • Rational Functions
  • Trigonometric Functions

Statistics

1. Univariate Data

  • Producing and Interpreting Plots
  • Producing and Interpreting Plots
  • Measures of Center and Variation
  • The Normal Distribution

2. Bivariate Data

  • Scatter Plots and Correlation
  • Pearson’s correlation coefficient
  • Scatter Plots and Correlation
  • Linear Regression
  • Least squares regression line

3. Sampling And Study Of B103 design

  • Data Collection and Analysis
  • Simple Random Sampling
  • Stratified Random Sampling
  • Cluster Sampling
  • Surveys
  • Completely Randomized and Randomized block designs

4. Probability Models

  • Law of Large Numbers
  • Basic Probability Rules
  • Law of Total Probability
  • Bayes’ Theorem
  • Random variable and Discrete Probability Distribution
  • Effect of a linear transformation of a random variable on its mean and standard deviation.
  • Binomial Distribution
  • Geometric Distribution
  • Hypergeometric Distribution
  • Percentiles of normal distributions.
  • Simulation
  • Central Limit Theorem
  • Confidence Intervals
  • Control Limits

5. Point And Interval Estimation

  • Simulation of confidence interval
  • t-distribution

6. Significance Testing

  • Testing of Hypothesis
  • p-value
  • Type I and Type II errors
  • Chi-squared significance tests of homogeneity and independence
  • Goodness-of-fit test

7. Inference For Regression

  • Statistical model for regression, including linearity, normality of errors, and constancy of error variance

Probability

1. Probability Models and Probability Calculation

  • Sample space
  • Computing the Probability of mutually exclusive, independent, dependent, compound and complementary events
  • Conditional Probability
  • Venn diagrams
  • Combinations and permutations
  • Application of Probability concepts to practical situations

Geometry

1. Figures And Their Properties

  • Lines and Angles
  • Euclidean and Coordinate Geometry

2. Triangles

  • Triangles and Their Properties
  • Angles, side length, perimeter, and area of triangles.
  • Quadratic Functions, Pythagorean Theorem and its applications
  • Medians, altitudes and perpendicular bisectors, and the angle bisectors of a triangle.

3. Quadrilaterals

  • Quadrilaterals and Their Properties
  • Proofs involving quadrilaterals
  • Theorems about the interior and exterior angle sums of a quadrilateral.

4. Polygons

  • Other Polygons and Their Properties
  • Perimeter and area of a regular n-gon, interior and exterior angles of a regular n-gon.

5. Circles

  • Circles and Their Properties
  • Equation of a circle
  • Conic Sections and Their Properties
  • Identification and Graphs of parabolas, circles, ellipses, and hyperbolas

6. Logical Reasoning

  • Law of Syllogism

Geometry and Trigonometry

1. Geometry and Trigonometry

  • Relationships Between Area and Volume Formulas

2. Relationships Between 2- Dimensional And 3-Dimensional Figures

  • Identification and drawings

3. Congruence and Similarity

  • SSS, SAS, ASA and AAS conditions for congruency
  • SSS, SAS and AAS conditions for similarity

4. Transformations of figures in the plane

  • Distance-preserving Transformations Isometries
  • Shape-preserving Transformations: Dilations and Isometries

5. Geometry and Spatial Sense Standard

  • Visualization and Geometric Models
  • Relate graphical and algebraic representations of lines, simple curves and conic sections.
  • Recognize and compare specific shapes and properties in multiple geometries; e.g., plane, spherical and hyperbolic.

Trigonometry

1. Trigonometric Ratios

  • Sine, cosine, and tangent of angles
  • Law of Sines and Cosines
  • Values of Trigonometric Ratios for 0°, 30°, 45°, 60° angles

2. Trigonometric Identities & Functions

  • Graphs of transformations of the sine and cosine functions.
  • Inverse Trigonometric Functions
  • Basic Trigonometric Identities
  • Solutions of trigonometric equations
  • Radian and Degree Measures

Pre Calculus

1. Functions

  • Definition of a Function
  • Algebraic Operations on Functions and apply Transformations.
  • Composite Functions

2. Exponential And Logarithmic Functions

  • Relationship between exponential and logarithmic functions
  • Graphs of logarithmic functions
  • Solution of exponential and logarithmic functions
  • Problems involving Exponential growth and decay

3. Quadratic Functions

  • Solution of quadratic equations by substitution
  • Applications of quadratic functions

4. Polynomial Functions

  • Intervals and graphs of polynomial functions
  • Solution of polynomial equations and inequalities of degree >=to three
  • The Remainder Theorem
  • Factor Theorem
  • Fundamental Theorem of Algebra

5. Rational Functions And Difference Quotients

  • Solutions of equations and inequalities involving rational functions.
  • Vertical and horizontal asymptotes

6. Patterns, Functions and Algebra Standard

  • Transcendental and Periodic Functions.

7. Vectors , Matrices, System Of Equations.

  • Operations on Vectors
  • Operations on Matrices
  • Inverse of a matrix
  • Determinants
  • Gaussian elimination
  • Linear Programming

8. Sequences, Series And Mathematical Induction.

  • The sigma and factorial notation.
  • Arithmetic sequences
  • Geometric sequences
  • Mathematical Induction
  • Binomial Theorem
  • Pascal’s Triangle

9. Polar Coordinates, Parameterizations, And Conic Sections.

  • Conversion between polar and rectangular coordinates.
  • Graph of functions in polar coordinates.
  • De Moivre’s Theorem
  • Parametric and Rectangular forms of equations.
  • Locus
  • Graphs of parabolas, ellipses and hyperbolas

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High School Math ultima modifica: 2018-07-05T07:27:20+00:00 da Bharath Kumar