Mathematics Tutor Specializing in Algebra, Calculus, and Exam Coaching

The tutor and student worked on mathematical concepts including multiplication shortcuts, ratio division, and the rules of multiplying negative numbers in algebra. They also practiced identifying fractions, percentages, and the impact of zero in multiplication through various games and problems.

The tutor and student reviewed mathematical concepts including the order of operations using the 'Mom, Dad and Sister' mnemonic, and practiced calculating squares and cubes. They also worked on geometry problems involving perimeter and area, and the student successfully applied formulas for squares and rectangles. The next session will involve the tutor creating a story-based math problem for the student.

The student and tutor worked on creating color-based patterns and assigning percentages, then transitioned to solving algebraic equations involving single variables. They also practiced arithmetic operations through puzzles and concluded with subtraction problems and a collaborative puzzle-creation activity, with homework assigned on multiplication and subtraction.

The Tutor and Student reviewed various concepts in vector algebra, including vector addition, subtraction, scalar multiplication, dot products, and finding angles between vectors. They also practiced calculating areas of triangles using vector methods and applied trigonometric laws like the Law of Sines and Heron's formula for triangle properties. The session concluded with an introduction to parametric equations in projectile motion and polar coordinates.

The Tutor and Student reviewed the domain and range of sine functions, including how to calculate them for modified functions. They also explored concepts related to graphing trigonometric functions, such as midline, amplitude, period, and phase shift. The next session will cover polar equations and any remaining topics.

The Student and Tutor reviewed and practiced solving various trigonometric equations, including those involving identities, quadratic forms, and general solutions. They worked through problems that required finding values in specific quadrants and applying general solution formats. The session concluded with practice on trigonometric inequalities and a discussion on preparing for upcoming exams.