Basic Maths, Basic Algebra, Geometry
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Mba- Banking and Finance
Online tutoring Maths to Usa Students
Tutoring Maths Students of Standard 5 to 10
Experience: 2 years
I. Arithmetic and Algebraic Manipulation
A. Evaluate arithmetic expressions (including absolute values) using the order of operations and properties of real numbers.
B. Evaluate algebraic expressions.
C. Apply the laws of exponents to simplify expressions containing integer exponents.
D. Express numbers in scientific notation.
E. Perform addition, subtraction, multiplication, and division on polynomial expressions.
F. Factor expressions with common factors, expressions that require grouping, trinomial expressions, and difference of square expressions.
G. Perform addition, subtraction, multiplication, and division on rational expressions.
H. Evaluate radicals, approximating those that are irrational.
I. Simplify numeric radicals using the product and quotient rules.
II. Equations and Inequalities
A. Solve linear equations in one variable.
B. Solve proportion equations.
C. Solve linear inequalities in once variable showing solutions on a number line.
D. Solve literal equations that do not require factoring.
E. Solve quadratic equations by factoring.
F. Develop and solve mathematical models including number, geometry, and percent applications.
III. Graphs on a Coordinate Plane
A. Plot points on a coordinate plane.
B. Graph linear equations by plotting points.
C. Graph linear equations using intercepts.
D. Graph linear equations using the y-intercept and slope.
IV. Analysis of Equations and Graphs
A. Identify the x-intercept, y-intercept, and slope of the line given its graph.
B. Identify the x-intercept, y-intercept, and slope of the line given its equation.
C. Determine the equation of a line given its graph, its slope and y-intercept, and its slope and a point.
D. Determine equations of both horizontal and vertical lines.
E. Determine whether or not an equation is linear.
F. Calculate the slope of a line passing through two given points.
V. Real Numbers
A. Introduction to Integers
B. Operations with Integers
C. Rational Numbers
D. Exponents and the Order of Operations Agreement
VI. Variable Expressions
A. Evaluating Variable Expressions
B. Simplifying Variable Expressions
C. Translating Verbal Expressions into Variable Expressions
VII. Solving Equations and Inequalities
A. Introduction to Equations
B. General Equations
VII. Solving Equations and Inequalities: Applications
A. Translating Sentences into Equations
B. Integer, Coin, and Stamp Problems
C. Geometry Problems
D. Markup and Discount Problems
E. Investment Problems
F. Mixture Problems
G. Uniform Motion Problems
VIII. Linear Equations and Inequalities
A. The Rectangular Coordinate System
B. Graphs of Straight lines
C. Slopes of Straight lines
D. Equations of Straight Lines
A. Addition and Subtraction of Polynomials
B. Multiplication of Monomials
C. Multiplication of Polynomials
D. Integer Exponents and Scientific Notation
E. Division of Polynomials
A. Common Factors
B. Factoring Polynomials of the Form x2 + bx + c
C. Factoring Polynomials of the Form ax2 + bx + c
D. Special Factoring
E. Solving Equations
XI. Rational Expressions
A. Multiplication and Division of Rational Expressions
B. Expressing Fractions in Terms of the Least Common Multiple of Their Denominators
C. Addition and Subtraction of Rational Expressions
D. Equations Containing Fractions
E. Literal Equations
F. Application Problems
XII. Radical Expressions
A. Introduction to Radical Expressions
B. Addition and Subtraction of Radical Expressions
C. Multiplication and Division of Radical Expressions