Mathematics Tutor - Specializing in Algebra, Calculus, Trigonometry

Ambica and Dannah discussed trigonometry, focusing on trigonometric ratios in quadrants, standard values, and the graphs of sine, cosine, and tangent functions. Dannah learned about transformations of trigonometric functions, including amplitude and period changes, as well as horizontal and vertical shifts. They reviewed key definitions and formulas related to these concepts.

During their recent lesson, Ambica and Ari covered essential topics in statistics, including interpreting graphs, understanding various data types (numerical vs. categorical, discrete vs. continuous), and the construction of frequency tables, tallies, and histograms. Ari dedicated time to practicing data interpretation from graphs and creating frequency tables. His assigned homework involved exercises 8C from the textbook, focusing on frequency tables and histograms.

Ambica and Shreyan reviewed quadratic equations, cubic functions, polynomial functions, and break-even points. Shreyan practiced solving problems related to these topics, including sketching graphs and finding zeros of polynomial functions. Ambica will provide a solution to a past paper question on maximum weekly profit for Shreyan to review.

Ambica and Dannah reviewed a challenging bearings question involving angles of elevation and then transitioned to probability, covering basic definitions, relative frequency, addition rule, complementary events, and the product rule. Dannah worked through practice problems and made notes on the concepts. They planned to continue with tree diagrams and conditional probability in the next session.

Ambica and Shreyan reviewed linear equations, quadratic functions, and the discriminant. Shreyan practiced finding equations, sketching parabolas, and determining the nature of roots using the discriminant. They discussed the upcoming topics of cubic and polynomial functions for the next session, with a possible rescheduling to Wednesday.

Ambica and Dannah covered introductory calculus topics, including gradients, tangents, and basic differentiation techniques. Dannah practiced finding derivatives of various functions, including polynomials and expressions with fractional exponents. Ambica assigned practice problems from the textbook, focusing on simplifying expressions before differentiation, and they agreed to continue with the remaining exercises in the next session.