Daniel’s current tutoring subjects are listed at the left. You
can read more about
Daniel’s qualifications in specific subjects below.
Topics covered include: Linear behavior; linear equations and inequalities in one and two variables; graphs; systems of equations in two variables; function notation, graphs, and data tables; operations on polynomials; properties of exponents; and applications.
Algebra 2 covers all of the following topics:
1. Solve linear equations for specified variables. (I)
2. Model and solve real-world problems using linear equations. (I)
3. Find the slope of a line and the equation of a line. (I)
4. Factor polynomial expressions. (II)
5. Solve real-world problems involving parabolas, exponential and logarithmic functions. (II, VIII)
6. Graph lines, parabolas, exponential, and logarithmic functions. (I, VIII)
7. Use the eleven field properties of the set of real numbers. (II, IV)
8. Solve quadratic equations by factoring, completing the square, and the quadratic formula. (II)
9. Solve quadratic and absolute value inequalities. (II, III)
10. Solve radical equations and equations quadratic in form. (II, V)
11. Add, subtract, multiply, and divide complex numbers. (IV)
12. Apply exponential and logarithmic functions to appropriate real-world problems. (VI)
13. Solve rational equations. (VI)
14. Solve systems of equations with two. (VII)
15. Interpret function notation and the definition of a function. (VIII)
16. Evaluate an expression written with function notation. (VIII)
17. Find the log of a number and rewrite log expressions using the log properties. (VIII)
Elementary mathematics includes addition, subtraction, multiplication and division; performing order of operations working with whole numbers, fractions, decimals, integers and rational numbers; estimating and rounding; evaluate arithmetic expressions involving exponents and square roots; convert between decimals, fractions and percents; construct and interpret line, bar and circle graphs; determine and interpret mean, median and mode for a set of data; read and interpret measurement scales; identify and interpret geometric figures and calculate perimeters and areas for each figure; model and solve application/real world problems; convert within and between U.S. and metric measurement systems.
Geometry includes an in-depth analysis of plane, solid, and coordinate geometry as they relate to both abstract mathematical concepts as well as real-world problem situations. Topics include logic and proof, parallel lines and polygons, perimeter and area analysis, volume and surface area analysis, similarity and congruence, trigonometry, and analytic geometry. Emphasis will be placed on developing critical thinking skills as they relate to logical reasoning and argument. Students will be required to use different technological tools and manipulatives to discover and explain much of the course content.
The math sections of the SAT measure a student’s ability to reason quantitatively, solve mathematical problems, and interpret data presented in graphical form. These sections focus on four areas of mathematics that are typically covered in the first three years of American high school education: Arithmetic, Algebra and Functions, Geometry, and Data Analysis. The Algebra section was recently expanded to include basic College Algebra. To test these skills, the SAT employs two different question types:
The multiple-choice questions carry a .25-point penalty for incorrect answers. The grid-in questions carry no penalty for wrong answers, because the likelihood of guessing the correct answer is negligible.
The format of the three sections is:
•25 minutes: 20 Multiple-Choice questions
•25 minutes: 8 Multiple-Choice questions followed by 10 Grid-ins.
•20 minutes: 16 Multiple-Choice questions