Dedicated Math Tutor | Tailored Lessons, Conceptual Clarity, and Proven Student Results

The tutor and student reviewed solving radical equations, starting with the definition of radicals and progressing to isolating and eliminating radical terms by raising both sides to the root's index. They practiced solving various examples, including those with square and cube roots, and discussed the concept of extraneous solutions. The student worked on solving equations with different root indices, and they planned to continue practicing these concepts.

The student and tutor reviewed the basic trigonometric ratios (sine, cosine, tangent) and their definitions in right-angled triangles. They practiced calculating these ratios using given side lengths and the Pythagorean theorem, as well as finding all ratios when one was provided. The reciprocal trigonometric functions were also introduced.

The student and tutor worked on translating word problems into algebraic equations and solving them. They practiced forming equations from various scenarios and applying algebraic techniques to find the unknown variable. The next session will involve practicing problems that require setting up and solving systems of two linear equations.

The student and tutor worked through various problems involving arithmetic and geometric sequences. They practiced identifying sequence types, finding general and recursive rules, and writing summation notation. The session also included solving for sequence rules when two terms were provided, reinforcing algebraic methods for solving systems of equations.

The tutor and student reviewed recursive and explicit formulas for arithmetic and geometric sequences, including how to identify common differences and ratios. They practiced writing general and recursive rules, and the student was tasked with applying these concepts to find the next terms in given sequences for homework.

The tutor and student reviewed arithmetic and geometric sequences, focusing on identifying their properties, deriving explicit and recursive formulas, and applying these concepts to model situations like compound interest. The student practiced solving problems involving these sequences, including finding specific terms.