고등학생 대수학 1 튜터

Listed below are the common standards taught in Algebra 1. I am happy to help the student master these concepts.

1. Expressions, Equations, and Inequalities
Simplifying algebraic expressions
Solving linear equations
Solving and graphing inequalities
Applications of equations and inequalities (word problems)
Absolute value equations and inequalities
2. Functions
Introduction to functions (definition, notation)
Domain and range
Evaluating functions
Graphing linear functions
Identifying linear, quadratic, and other types of functions
3. Linear Equations and Graphs
Slope of a line
Slope-intercept form: 
y=mx+b
Point-slope form and standard form
Graphing lines and interpreting the meaning of slope and intercept
Parallel and perpendicular lines
4. Systems of Equations and Inequalities
Solving systems of linear equations (graphing, substitution, elimination)
Applications of systems of equations
Solving systems of inequalities
5. Exponents and Exponential Functions
Properties of exponents (product, quotient, power rules)
Simplifying expressions with exponents
Exponential growth and decay
Graphing exponential functions
Scientific notation
6. Polynomials
Adding, subtracting, and multiplying polynomials
Special products of polynomials (difference of squares, perfect square trinomials)
Factoring polynomials (factoring out the greatest common factor, trinomials, difference of squares)
Solving quadratic equations by factoring
7. Quadratic Functions and Equations
Introduction to quadratic functions
Graphing quadratic functions (finding the vertex and axis of symmetry)
Solving quadratic equations by factoring, completing the square, and the quadratic formula
Applications of quadratic functions
8. Radical Expressions and Equations
Simplifying radical expressions
Operations with radicals (addition, subtraction, multiplication, division)
Solving radical equations
Introduction to the Pythagorean theorem and its applications
9. Rational Expressions and Equations (introductory)
Simplifying rational expressions
Solving rational equations (sometimes covered)
Operations with rational expressions (addition, subtraction, multiplication, division)
10. Data Analysis and Probability
Interpreting and analyzing data (mean, median, mode, range)
Scatter plots and lines of best fit
Introduction to basic probability (simple events, compound events)
Measures of central tendency and spread (variability)