High School Math Tutoring
Personalized Online Math Tutor for High School
1. Expressions, Equations and Inequalities
- Construction, Interpretation, and Manipulation of Expressions
- Solutions of Equations and Inequalities
- 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
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
- 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.
- Central Limit Theorem
- Confidence Intervals
- Control Limits
5. Point And Interval Estimation
- Simulation of confidence interval
6. Significance Testing
- Testing of Hypothesis
- 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
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
1. Figures And Their Properties
- Lines and Angles
- Euclidean and Coordinate Geometry
- 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.
- Quadrilaterals and Their Properties
- Proofs involving quadrilaterals
- Theorems about the interior and exterior angle sums of a quadrilateral.
- Other Polygons and Their Properties
- Perimeter and area of a regular n-gon, interior and exterior angles of a regular n-gon.
- 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.
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
- 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
- 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.
- Graphs of parabolas, ellipses and hyperbolas
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