Luis Armando Casso Echalar
Patient Math Tutor Who Makes Complex Topics Simple Through Visuals and Real-Life Examples




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Luis Armando Casso Echalar
Diploma degree
/ 55 min
Luis Armando - Know your tutor
My name is Luis Casso, students can call me Lucho. I've been an unofficial tutor for three years already, and my passion lies in teaching mathematics to anyone who needs help. I helped students from various academic levels, ranging from the last year of high school to undergraduate college students. I can help with any topic up to Calculus I, and I will find time for teaching and making sure that every student who requires my help finds all the sources they need. As a math major student, I got to understand how maths could be harder for any student and how that made every high school student to have some sort of rejection towards the topic, but I personally wanted to become a math teacher because I think that everyone can learn math, and math can be used to teach not only as a school subject, but a way to understand the world and how it works. That is why teaching is my passion.
Luis Armando graduated from American International School of Bolivia

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Class overview
My teaching style goes hand in hand with making sure students understand the why behind things. Every formula has a reason to exist, and students need to grasp the logical process behind the terminology for a more solid kind of learning — rather than just memorizing formulas they’ll likely forget. I’m very patient and interactive when teaching, and I always try to go at a pace that students find comfortable. The topics I can teach are varied in content, and I find it easy to identify areas of mathematics that require specific logical processes. At the same time, I can teach different strategies and tricks so that students learn through mnemonic devices or visual examples — helping them understand how to approach any exercise or problem they encounter. I have experience working with several students and have been able to connect with them in different ways to help them understand the problems presented. Once they become comfortable with the concepts, they reach the solutions much more quickly.
Luis Armando also teaches
Calculus
College Algebra
College Math
Elementary School Math
Geometry
High School Math

Mathematics concepts taught by Luis Armando
The Student and Tutor conducted an initial diagnostic session for SAT math preparation, identifying the Student's strengths in algebra and advanced math and a need for improvement in geometry and trigonometry. They practiced a factorization problem and a complex geometry problem, applying the Pythagorean theorem and trigonometric functions. The session highlighted the importance of time management and strategic problem-solving for the SAT.
Trigonometric Ratios & Inverse Functions
Pythagorean Theorem Applications
Geometry Problem Decomposition
Factoring Differences of Squares
Strategic Exam Preparation & Time Management
SAT Math Section Breakdown
The Student and Tutor reviewed a quiz problem on trigonometric substitution, working through the steps to simplify the integral and convert the solution back to the original variable. They then moved on to approximate integration, covering the trapezoidal, midpoint, and Simpson's rules, and practiced these methods on an example problem. The next session is scheduled for Tuesday.
Trigonometric Substitution (Form √(a² - x²))
Reverting Trig Substitution (Right Triangle Method)
Setting Up Data for Numerical Integration
Trapezoidal Rule for Approximating Integrals
Simpson's Rule for Higher Accuracy Integration
The Student and Tutor focused on practicing the integration of rational functions through partial fraction decomposition. They worked through two example problems, one of which also involved trigonometric substitution, to prepare for the Student's upcoming Calculus 2 exam. The Student expressed confidence in their understanding of the material.
Simplifying Logarithmic Expressions after Integration
Combining U-Substitution with Partial Fractions
Integrating Basic Partial Fractions
Categorizing Denominator Factors for Decomposition
Strategies for Solving Unknown Coefficients (A
B
C...)
Introduction to Rational Functions & Partial Fraction Decomposition
The session focused on advanced integral calculus techniques, including integration by parts and trigonometric substitutions. The Student and Tutor worked through several homework problems, practicing the application of LIATE for integration by parts and identifying appropriate trigonometric substitutions for different algebraic forms, including changing limits for definite integrals.
Integration by Parts using LIATE
Trigonometric Integrals with Odd Powers
Trigonometric Substitution for Radicals
The Student and Tutor reviewed and practiced calculating volume for cubes and objects given base area and height, reinforcing the use of squared and cubic units. They then explored area formulas for squares, rectangles, triangles, and circles, with the Tutor explaining the derivation of these formulas, including the concept of Pi and radius. The Student was given a final circle area problem to complete, with a plan to discuss new material in the next session.
Volume Calculation & Cubic Units
Area vs. Volume: Understanding Dimensions
Calculating Area for Rectangles and Squares
Area of a Triangle: Half a Rectangle
Circle Terminology: Radius
Diameter
Pi (π)
Calculating the Area of a Circle
The Student and Tutor reviewed fundamental geometry concepts, distinguishing between surface and volume, understanding dimensions, and identifying attributes of quadrilaterals like rhombuses and parallelograms. They also practiced solving a word problem involving fractions and explored the properties of exponents, especially powers of ten and the zero exponent rule. The next session will begin with an unsolved problem from the current worksheet.
Solving Word Problems with Arithmetic Operations
Decimal Place Value and Expanded Form
Exponents and Powers of Ten
Understanding Quadrilateral Properties
Geometric Dimensions: Surface Area vs. Volume
Teaching tools used by tutor
Graphing Tools
Lesson Planner
Solvers & Calculators
Visualization & Exploration
Digital whiteboard
Interactive lessons
Parent feedback
Chat for quick help
Note taking
Weekend lessons
Open Q&A

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