Victory Acadamy intermediate

Math — Number Systems and Basic Algebra + 4 more topics

Comprehensive AI-generated study curriculum with 5 detailed note modules.

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Course Syllabus

  1. Number Systems and Basic Algebra
  2. Functions and Graphs
  3. Polynomials and Rational Expressions
  4. Geometry and Trigonometry Basics
  5. Sequences, Series, and Probability

Study Notes

Sequences, Series, and Probability

  • Arithmetic Sequence: You get the next term by adding a constant value (the common difference, d) to the previous term.
    • Example: 2, 5, 8, 11, ... (here, d = 3)
    • The n-th term: a_n = a_1 + (n-1)d (where a_1 is the first term)
  • Geometric Sequence: You get the next term by multiplying the previous term by a constant value (the common ratio, r).
    • Example: 3, 6, 12, 24, ... (here, r = 2)
    • The n-th term: a_n = a_1 * r^(n-1)
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Functions and Graphs

Functions are central to math. A function assigns each input value (from the domain) to exactly one output value (in the range). This "exactly one output" rule is crucial. If an input gives more than one output, it's not a function.

Word 'HOW' formed with wooden letters on textured burlap surface.
Photo by Ann H on Pexels

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