"Math Maven: Empowering Exploration, One Equation at a Time!"

Kaylah tutored a student in geometry, focusing on area and perimeter of polygons. She reviewed formulas for various shapes, emphasizing correct units and identifying necessary measurements. The learner, who attends San Jose City College, worked through a complex problem by breaking it into smaller rectangles, calculating individual areas, and summing them to find the total area. More practice is planned for their next lesson.

Kaylah tutored Demetrius on simplifying expressions and end behavior, focusing on combining like terms with multiple variables. Demetrius showed proficiency but struggled with minor errors in combining like terms. Kaylah used color-coding and emphasized the commutative property to aid understanding. The next session will cover polynomials.

Kaylah is teaching a student ("cookie dough") about polynomial end behavior and simplification. She explains how the leading coefficient and exponent determine end behavior, emphasizing the importance of simplifying like terms and memorizing the rules. She plans to provide further practice on these concepts.

Kaylah and Cookie Dough had an online lesson where Kaylah, after apologizing for being late and rescheduling their next meeting, explained quadratic functions and polynomials. She used Geogebra to demonstrate how the coefficients A, B, and C in the quadratic equation y = ax² + bx + c affect the parabola's shape and position. She covered roots, standard vs. vertex form, and factoring for finding roots. She then introduced polynomials, emphasizing the importance of the leading term and coefficient, and stated the next session would delve deeper into polynomial rules.

Kaylah tutored Cookie Dough, guiding her through logarithm and quadratic equation problems in preparation for the Illinois Institute of Technology's Computer Science ALEKS placement exam. They reviewed techniques for manipulating logarithmic expressions and applying the quadratic formula. The next session is scheduled to cover exponents, polynomials, and roots, focusing on rewriting expressions and mastering fundamental rules.

Kaylah tutors "cookie dough" on solving logarithmic equations. They work through problems involving combining logs, exponentiating, and factoring, including those with natural logs (ln). Kaylah then demonstrates two methods to solve 2log₂(x) = 3 + log₂(x-2): one using the quotient rule and the other converting the constant to a logarithmic expression. Both methods lead to the solution x=4, and Kaylah stresses understanding logarithmic rules and relationships.