๐Ÿ““ A+ Math ยท School Enrichment

Grade 10

Senior mathematics enrichment covering algebra, geometry, number theory, and counting.

Curriculum

๐Ÿ”ฃ

Algebra

  • The quadratic equation
  • Polynomials and factorization, more advanced techniques
  • Sequences
  • Functions and operators
  • Word problems and systems of equations
  • Time, travel, work
๐Ÿ“

Geometry

  • Important lines in triangles and their intersections
  • Similar triangles
  • Circles, angles in circles, quadrilaterals inscribed in circles, Power of a Point
  • Trigonometry: the unit circle, the Cosine Law, the Sine Law
  • 3D geometry: angles and computations in 3D, lines perpendicular on planes
๐Ÿ”ข

Number Theory

  • Number bases
  • Fermat's Little Theorem
  • Factoring techniques
  • Introduction to Diophantine equations
๐ŸŽฒ

Counting

  • Stars and Bars
  • The Binomial Theorem and Pascal's Triangle
  • Overcounting
  • Casework
  • Counting with digits
  • Probability
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