Calculus II

This one-semester, one-half-credit Oak Meadow course is a continuation of the full-year Calculus I course. It picks up where Calculus I ended and completes the final 1/3 of the Saxon textbook, Calculus with Trigonometry and Analytic Geometry. Together, the Oak Meadow Calculus I and Calculus II courses cover the topics on the AP Calculus BC syllabus. Prerequisite: Calculus I

Note: Calculus I and II require the same textbook. Calculus I covers lessons 1 through 25; Calculus II continues with lesson 26 through 38.

Calculus I

Calculus I focuses on all the topics normally covered in an Advanced Placement AB-level calculus program. The text begins with a thorough review of those mathematical concepts and skills required for calculus. In the early problem sets, students practice setting up word problems they will later encounter as calculus problems. The problem sets contain multiple-choice and conceptually-oriented problems similar to those found on the AP Calculus examination. Whenever possible, students are provided an intuitive introduction to concepts prior to a rigorous examination of them. Proofs are provided for all important theorems. Prerequisite: Advanced Math

Note: In this Oak Meadow full-year, one-credit course, you will complete the first 2/3 of the textbook. There are 25 lessons in this course. Each Oak Meadow lesson covers four lessons in the textbook and includes four problem sets for practice.

Advanced Mathematics

Advanced Mathematics prepares students for the study of mathematics at the college level through a presentation of standard pre-calculus topics, including substantial new material on discrete mathematics and data analysis. Prerequisite: Algebra II

Algebra II

In Algebra II, students integrate topics from Algebra I and Geometry, and they begin the study of trigonometry. The course provides opportunities for continued practice of the fundamental concepts of algebra, geometry, and trigonometry to enable students to develop a foundation for the study of Advanced Mathematics. Prerequisite: Geometry and Algebra I

Math Connections

Math Connections is a problem-solving course focused on topics and applications relevant to life in today’s world. Every lesson includes mental math activities, journaling, textbook readings, and practice problems. Activities requiring critical thinking and the application of math skills are also part of each lesson. The course looks at math connections to art, science, history, philosophy, and more, and introduces people who have been influential the field of mathematics. Lesson topics include set theory, number theory, personal finance, measurement, probability, statistics, and logic. Prerequisite: Algebra I and Geometry

Geometry

This geometry course introduces students to the basic theorems of Euclidean plane geometry and their applications, and it explores both plane and solid geometric figures. Students learn how to prove theorems by the axiomatic method and to use these theorems in solving a variety of problems. They also learn how to accomplish a variety of geometric constructions. Prerequisite: Algebra I.

Algebra I

This course covers essential algebraic concepts. Emphasis is placed on applying algebraic and geometric skills to solve word problems. The following skills are covered:

  • evaluation of expressions involving signed numbers
  • exponents and roots
  • properties of real numbers
  • absolute value and equations and inequalities involving absolute value
  • scientific notation
  • unit conversions
  • solution of equations in one unknown and solution of simultaneous equations
  • algebra of polynomials and rational expressions
  • work problems requiring algebra for their solution
  • graphical solutions of simultaneous equations,
  • Pythagorean theorem
  • algebraic proofs
  • functions and functional notation
  • solution of quadratic equations via factoring and completing the square
  • direct and inverse variation
  • exponential growth
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