๐Ÿ“˜ A+ Math ยท School Enrichment

Grade 7

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

Curriculum

๐Ÿ”ฃ

Algebra

  • Integers and arithmetic: division with remainders, Gauss sums, word problems
  • Rates and proportions: word problems
  • Fractions and decimals: proper/improper fractions, mixed numbers, word problems
  • Exponents: properties, formulas, patterns in digits
  • Word problems
  • Time and travel
๐Ÿ“

Geometry

  • Angles: acute, obtuse, complementary, supplementary angles, angles in polygons
  • Congruence and similarity
  • Lengths and areas: the Pythagorean Theorem and applications, length of a circle, areas and special triangles
  • Basic 3D geometry: areas and volumes of prisms, pyramids, cones, cylinders, spheres
๐Ÿ”ข

Number Theory

  • Gauss sums
  • Divisibility criteria
  • Number of divisors
  • Sum of divisors
  • Factoring techniques
๐ŸŽฒ

Counting

  • The Addition Principle
  • The Multiplicative Principle
  • Permutations, arrangements, combinations
  • Counting paths
  • Counting with digits
  • Probability
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