Introduction to Exponential Functions, Polynomials, and Geometry - Math 1

Learn fundamental mathematical concepts through an inquiry-based video series featuring exponential functions, polynomial operations, factoring techniques, quadratic equations, and geometric principles. Explore exponential functions starting with the classic chess inventor story, then progress through graphing and real-world applications including growth and decay problems. Master polynomial operations including addition, subtraction, and multiplication of binomials and general polynomials, followed by comprehensive factoring methods covering monomials, difference of squares, trinomials, and factoring by grouping. Develop skills in solving quadratic equations through multiple approaches including completing the square and applying the quadratic formula. Investigate geometric concepts through axiomatic systems, primitive terms, nested definitions, and isometries using visual tools, while proving fundamental theorems including triangle angle sums and the Pythagorean theorem. Apply coordinate geometry through distance and midpoint formulas to connect algebraic and geometric thinking.