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
MC I-C Topics and Sample Problems (click here)
Math Challenge I-C has four terms, each with an associated textbook. Learn more about the topics in each term below.
Algebra
Chapter Topics
- Introduction to Algebra and Solving Equations
- Solving Inequalities
- Absolute Values
- Intro to Functions and Linear Functions
- Problem Solving with Linear Functions
- Systems of Linear Equations
- Problem Solving with Systems of Equations
- Exponents and Radicals
- Problem Solving with Exponents and Radicals
- Review with Math Contest Problems
Sample Questions
Topics in Algebra
Chapter Topics
- Polynomials and Factoring
- Factoring Formulas and Patterns
- Quadratic Formula and Discriminant
- Problem Solving with Quadratics
- Exponential and Radical Functions
- Modeling and Problem Solving with Functions
- Solving Equations with Square Roots
- Rational Expressions and Polynomial Long Division
- Solving Rational Equations
- Math Contest Review
Sample Questions
Geometry
Chapter Topics
- Parallel Lines and Into to Coordinates
- Measurements: Areas and Lengths
- Congruent and Similar Triangles
- Right Triangles and Basic Trigonometry
- Angles and Areas with Polygons
- Circles
- Intro to 3-D Geometry
- Solids in 3-D Geometry
- Conic Sections
- Math Contest Review
Sample Questions
Finite Math
Chapter Topics
- Numbers, Place Values, and Divisibility
- Primes, Factors, and Multiples
- Remainders and Modular Arithmetic
- Sequences And Series
- Recursive Sequences
- Factorials, Permutations, and Combinations
- Sets and Functions
- Bijections and Stars and Bars
- Probability
- Math Contest Review
Sample Questions
Live Courses
Please visit our “Live Math Courses” page by clicking here for registration for upcoming live courses.