Welcome to Rakshitha’s Math Tuition!
Arithmetic:
- Operations with integers, fractions, decimals
- Order of operations
- Exponents and square roots
- Properties of operations (commutative, associative, distributive)
2. Algebra:
- Solving linear equations and inequalities
- Systems of linear equations
- Exponents and exponential functions
- Quadratic equations and functions
- Factoring polynomials
- Rational expressions and equations
3. Geometry:
- Properties of shapes (angles, triangles, quadrilaterals, circles)
- Perimeter, area, and volume calculations
- Congruence and similarity of shapes
- Pythagorean theorem
- Transformations (translations, reflections, rotations)
- Basic trigonometry (sine, cosine, tangent)
4. Data Analysis and Statistics:
- Interpreting and constructing graphs (bar graphs, histograms, scatter plots)
- Measures of central tendency (mean, median, mode)
- Measures of dispersion (range, interquartile range, standard deviation)
- Probability (experimental and theoretical probability, probability models)
5. Functions:
- Function notation
- Linear functions and equations
- Quadratic functions and equations
- Exponential functions
- Graphing functions and transformations
- Inverse functions
Sample Session Plan:
Session 1: Introduction to Algebra
- Basic operations with integers, fractions, and decimals
- Order of operations
- Introduction to variables and expressions
Session 2: Solving Equations
- Solving one-step and two-step equations
- Solving equations with variables on both sides
- Solving literal equations
Session 3: Linear Functions
- Graphing linear equations
- Finding slope and y-intercept
- Writing equations of lines
- Solving systems of linear equations
Session 4: Quadratic Equations
- Understanding quadratic functions and equations
- Graphing quadratic functions
- Solving quadratic equations by factoring, completing the square, and using the quadratic formula