Engaging Math lessons from elementary to AP Calculus with creative problem solving

Kitty and Anna reviewed linear equations and graphs, including slope, y-intercept, correlation, and rates of change. Anna practiced solving word problems, finding equations of lines, and converting equations to standard form. Kitty will email Anna practice problems on standard form and finding slope.

This lesson involved a comprehensive review of differentiation using first principles, calculating derivatives at a point, and evaluating limits. The learner, a student at California State University, Fullerton, worked through several problems, gaining proficiency with a graphing calculator to visualize functions and identify discontinuities. The discussion also covered strategies for their upcoming test retake, with a strong focus on graphical analysis and a deep understanding of the definitions of continuity.

Kitty and Anna reviewed linear equations, including finding gradients, determining equations of straight lines, and finding intersection points. Anna also worked on finding the domain and range of linear functions with bounded lines. Anna will send Kitty her homework in advance for their next session on Wednesday.

During a recent lesson, polynomial factorization was thoroughly reviewed, encompassing both quadratic and cubic polynomials. This preparation was crucial for the learner's upcoming SAT retake in Greensboro. The individual actively practiced factoring and sketching quadratic equations, and also worked on factorizing cubic polynomials using educated guessing and polynomial division. To reinforce these concepts, practice questions were assigned.

Kitty tutored Sean, focusing on polynomial factorization and algebraic fractions in preparation for the SAT. Sean practiced expanding polynomials, using the factor theorem, and adding algebraic fractions. They scheduled their next session for after Kitty's trip to Bali, with a plan to focus on trigonometry.

Kitty tutored Susana on stoichiometry, covering mole ratios, molar mass calculations, and limiting reactants. Susana worked through several practice problems, including determining the limiting reactant in a reaction and calculating the mass of CO2 produced from burning C3H8. Kitty sent Susana a screenshot of a problem they worked on together.