The Exponents course delves into the essential rules, properties, and applications of exponents, building a solid foundation for understanding exponential functions and their relevance in various fields. Through engaging lessons and real-world examples, students will master exponent concepts and develop skills to apply them effectively.

Units:

  1. Laws of Exponents
    Learn and apply the fundamental rules of exponents to simplify and solve mathematical expressions.

  2. Scientific Notation and Applications
    Represent and work with very large and small numbers efficiently using scientific notation, with applications in real-world scenarios.

  3. Exponential Growth and Decay
    Explore the behavior and applications of exponential growth and decay in areas such as population dynamics and financial modeling.

  4. Rational Exponents and Roots
    Understand the connection between fractional exponents and roots, and simplify expressions involving rational exponents.

  5. Exponential Equations and Logarithms
    Solve exponential equations and gain an introduction to logarithms as the inverse of exponents, with practical applications in technology and science.

This course equips students with the knowledge and tools to handle exponent-related problems and prepares them for advanced topics in mathematics and science.