I offer tutoring for all levels of primary and secondary mathematics through calculus. Homeschooled students can choose to use any curriculum, but I utilize Math-U-See curriculum when you have no preference. For students enrolled in schools with regular curriculum, we will cover the topics that are currently being covered in their class or cover concepts that need review.
In these levels, students will learn to add, subtract, multiple and divide. They will also learn concepts related to fractions, decimals, and percentages. Measurements, time, probability, and geometric concepts are also covered as is so much more. Special attention is given to visually representing these concepts for deeper understanding. (Text: Math-U-See Alpha, Beta, Gamma, Delta, Epsilon, or Zeta)
Topics include negative numbers, exponents, factoring, and ratios. The student is taught basic rules of solving equations using the associative, commutative and other properties. Simple operations with polynomials are demonstrated with place-value blocks for conceptual understanding before being taught conventionally. Geometry concepts include surface area, volume, and the Pythagorean theorem. (Text: Math-U-See Pre-Algebra)
Topics include basic properties, solving equations (including simultaneous equations), coin problems, exponents and square roots, scientific notation, unit multipliers, and metric conversions. Graphing lines is taught in detail, and graphing conic sections is introduced. Operations with polynomials are also covered in detail. (Prerequisite: Pre-Algebra, Text: Math-U-See Algebra 1)
This course has three main areas of emphasis: the vocabulary of geometry, practical applications of geometry, and traditional geometry, including proofs. Topics include lines, angles, area, perimeter, volume, Pythagorean theorem, axioms and postulates, congruency, and similarity. An introduction to trigonometric functions is included to prepare students for testing they may do before taking a trigonometry course. (Prerequisite: Algebra 1, Text: Math-U-See Geometry)
Besides review and expansion of topics taught in Algebra 1, Algebra 2 covers advanced factoring, imaginary and complex numbers, conjugate numbers, the binomial theorem, the quadratic formula, motion problems, and other kinds of application problems. Graphing includes extensive practice with conic sections and solving systems of equations visually and algebraically. Vectors are also introduced. ( Prerequisite: Algebra 1 and Geometry, Text: Math-U-See Algebra 2)
This course combines classic trigonometry with the advanced algebra needed for calculus and other courses. Topics include trig ratios, trigonometric identities, laws of trigonometry, radian measure, polar equations, functions and their graphs, sequences and series, and limits. (Prerequisite: Algebra 2, Text: Math-U-See Precalculus)
Calculus begins with a review of graphing, functions, limits, and basic trigonometry. The course introduces derivatives and integrals, along with various techniques and rules for using them. A wide variety of application problems involving science, business, and other topics are included. It is equivalent to a one-year high school calculus course. (Prerequisite: Precalculus, Text: Math-U-See Calculus)
In this course, students will practice math skills that will appear on the math sections of the SAT, take practice tests, as well as examine what to expect during the test and discuss test taking strategies. (Prerequisite: Algebra 2 or enrollment in an Algebra 2 course, Text: Official SAT Prep Guide, Khan Academy SAT course)
This course is an introductory course to business and consumer mathematics. It covers topics such as record keeping, financial statements, and accounting, as well as stewardship, business management, investments, income and taxes, and banking. This is the course that is most neglected in high schools yet one of the most valuable for future careers. (Prerequisite: student should have completed all elementary math. Text: A Beka Business Mathematics)
Indiana now requires a personal finance course for high school students. As homeschool parents, you don't have to follow state graduation requirements, but why wouldn't you incorporate this one into your high school plan? Everyone needs to understand how to manage their money. (Prerequisites: students should have completed all elementary math. Text: Ramsey Solutions Foundations in Personal Finance for Homeschool, High School Edition
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