# Math Tutoring for the SAT^{®} Exam

The SAT^{®} exam is a national college entrance exam for four-year college programs in all American Universities. SAT^{®} exam mathematics tests consist of 60 multiple-choice questions that must be answered in 50 minutes. The test is designed to test reasoning and problem solving skills that are utilized to solve mathematical problems.

The test will also requires students to select tools and computational strategies to investigate mathematical ideas and to solve problems and make connections among mathematical concepts and procedures, and relate mathematical ideas to situations or phenomena drawn from other contexts.

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### Sample Curriculum

#### Number and Operations

- Solve arithmetic word problems and demonstrate an understanding of percent, ratio, and proportion
- Show an understanding of sets including the concepts of union, intersection, and elements
- Sequences and series (including exponential growth)
- Demonstrate an understanding of properties of integers (even, odd, prime numbers, divisibility, etc.)
- Solve problems involving rational numbers

#### Geometry and Measurement

- Understand Pythagorean Theorem and the special properties of isosceles, equilateral, and right triangles
- Show an understanding of the properties of parallel and perpendicular lines
- Calculate the area and perimeter of a polygon, the area and circumference of a circle, and the volume of a box, cube, and cylinder
- Demonstrate an understanding of geometric visualization as well as slope, similarity and transformations

#### Elementary number theory Algebra and Functions

- Show an understanding of substitution and simplifying in algebraic expressions
- Know the properties of exponents
- Solve quadratic equations
- Understand rational and radical equations
- Demonstrate an understanding of equations of lines and absolute value
- Solve problems involving direct and inverse variation
- Demonstrate an understanding of the concept of algebraic functions
- Utilize newly defined symbols based on commonly used operations
- Solve algebraic word problems
- Find solutions of linear equations and inequalities and demonstrate an understanding of systems of equations and inequalities

#### Data Analysis, Statistics, and Probability

- Collect and interpret data through the use of tables and graphs
- Demonstrate an understanding of descriptive statistics (mean, median, and mode) and probability

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