Math Challenge I-C

Course Description

Math Challenge I-C is a four-part course designed to bridge the middle school and high school math materials. For students who participate in the American Math Competitions (AMC), there is a big gap in both the fundamental math concepts and the problem-solving techniques involved between the AMC 8 and AMC 10 contests. This course is developed to help students transition smoothly and prepare them for high school math competitions including the AMC 10 & 12, ARML, and ZIML. The full course covers topics and introductory problem solving in algebra, geometry, and finite math. These subjects serve as the fundamental knowledge needed for a more advanced problem solving course such as Math Challenge II-A.

Sample Topics and Problems

Math Challenge I-C has four terms, each with an associated textbook. Learn more about the topics in each term below.

Algebra

Chapter Topics

  1. Introduction to Algebra and Solving Equations
  2. Solving Inequalities
  3. Absolute Values
  4. Intro to Functions and Linear Functions
  5. Problem Solving with Linear Functions
  6. Systems of Linear Equations
  7. Problem Solving with Systems of Equations
  8. Exponents and Radicals
  9. Problem Solving with Exponents and Radicals
  10. Review with Math Contest Problems

Sample Questions



Topics in Algebra

Chapter Topics

  1. Polynomials and Factoring
  2. Factoring Formulas and Patterns
  3. Quadratic Formula and Discriminant
  4. Problem Solving with Quadratics
  5. Exponential and Radical Functions
  6. Modeling and Problem Solving with Functions
  7. Solving Equations with Square Roots
  8. Rational Expressions and Polynomial Long Division
  9. Solving Rational Equations
  10. Math Contest Review

Sample Questions



Geometry

Chapter Topics

  1. Parallel Lines and Into to Coordinates
  2. Measurements: Areas and Lengths
  3. Congruent and Similar Triangles
  4. Right Triangles and Basic Trigonometry
  5. Angles and Areas with Polygons
  6. Circles
  7. Intro to 3-D Geometry
  8. Solids in 3-D Geometry
  9. Conic Sections
  10. Math Contest Review

Sample Questions



Finite Math

Chapter Topics

  1. Numbers, Place Values, and Divisibility
  2. Primes, Factors, and Multiples
  3. Remainders and Modular Arithmetic
  4. Sequences And Series
  5. Recursive Sequences
  6. Factorials, Permutations, and Combinations
  7. Sets and Functions
  8. Bijections and Stars and Bars
  9. Probability
  10. Math Contest Review

Sample Questions



Live Courses

Please visit our “Live Math Courses” page by clicking here for registration for upcoming live courses.

Self-Paced Courses

Textbooks