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# Topics Covered in Math Challenge I-C

### Summer Sample Lessons for Algebra

- 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

### Fall Sample Lessons for Algebra (continued)

- 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

### Winter Sample Lessons for Geometry

- 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

### Spring Sample Lessons for Finite Math

- 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

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