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Student and Tutor continued their study of quadratic equations, focusing on the key features of parabolas. They practiced identifying and calculating the vertex, axis of symmetry, y-intercept, zeros, and maximum/minimum values of quadratic graphs. The tutor also demonstrated visualizing these features using a digital graphing tool, and they planned for one more class on this topic.

The Student and Tutor reviewed quadratic equations, focusing on identifying linear versus quadratic equations using the concept of degree and a new method involving constant first or second differences. They also covered the general form of quadratic equations and how to graph them, observing their parabolic shape. The Tutor plans to tailor future sessions to the Student's upcoming test in February, which covers both 10th and 11th-grade syllabus material.

Student and Tutor revised core trigonometry concepts, including definitions, trigonometric ratios, Pythagoras theorem, fundamental identities, and complementary angles. They extensively practiced various problem-solving techniques for trigonometric equations and expressions, using a value chart. The Student was assigned additional practice questions, and the Tutor agreed to share a PDF of the class content and important formulas.

The tutor and student reviewed arithmetic progressions, covering definitions, formulas for the nth term and sum, and various problem-solving strategies. They practiced solving problems involving finding missing terms, sums, and unknowns in APs, including those leading to quadratic equations and real-world applications. The session concluded with a review of the material covered.

The Tutor introduced the concept of Arithmetic Progressions (AP) to the Student, covering the definition, general form, nth term formula, and methods for finding 'a' and 'd'. They practiced problems related to identifying terms, solving for unknown terms, and determining the count of numbers divisible by a specific integer within a range, and briefly touched upon the sum of terms in an AP.

The tutor and student reviewed trigonometric ratios, the Pythagorean theorem, and angle measurement conversions. They then explored the quadrant system, its associated rules for trigonometric signs, and applied related angle formulas to solve various problems. Double angle formulas were also introduced, and practice problems involving simplification and solving trigonometric equations were worked through.