## Mathematics Tutoring

Elementary School Mathematics - consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the twentieth-century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, and buying and selling stock. It is also an essential first step on the path to understanding math and science.

Middle School Mathematics - the middle school curriculum, in its entirety, is designed to continue students' development of mathematical fluency, problem-solving skills, mathematical reasoning, and ability to communicate mathematically. The curriculum focuses on the following five strands: Number and Number Sense; Computation and Estimation; Measurement and Geometry; Patterns, Functions and Algebra; and Probability and Statistics.

High School Mathematics - math study in high school goes beyond the simple arithmetic and pre-algebra learned in grades pre-k through 8th. High school math prepares students for college study in STEM-related fields and other mathematical applications:

• Algebra I/Algebra II - The study of algebra involves finding patterns, balancing equations, and using graphs, lines, and arithmetic to understand quantities or dimensions. It also includes the study of ratios, percents, and probability. The concepts learned in Algebra I extend middle school math learning and prepare students for future high school learning in Algebra II and Geometry. Beginning algebra students learn concepts through lessons and practice.
• Geometry - High school Geometry involves learning the attributes and relationships of geometric objects. At this level of study, geometry is primarily focused on plane geometry. Students build on concepts of symmetry, shape, and relations and learn to use tools, formulas, and theorems to determine dimensions, angles, volumes, and surface area. In addition, students learn to use more detailed definitions and develop careful proofs. Geometry students learn concepts through lessons and practice.
• Trigonometry - Trigonometry is computational geometry. While geometry is the study of the attributes and relationships of geometric objects, trigonometry focuses on angle measurement and quantities. In trigonometry students learn to compute the sides of a triangle from the dimension of only one side and two angles. Students learn to use sine, cosine, and tangent to find the measures of a triangle. Students also learn vectors and vector operations.
• Calculus/Precalculus - Calculus and Precalculus include the studies of change. In pre-calculus, change can be looked at in two ways: in terms of rate of change and in terms of accumulation. Pre-calculus allows students to extend what they have learned in algebra and geometry to answer more complex questions.

University Level Mathematics - university level math provides an environment of research and comprehensive instruction in mathematics and applied mathematics at both undergraduate and graduate levels.