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![Exploring Pythagoras Music Theory using Python](https://static.wixstatic.com/media/4dd2e1_1f3b22eebcbc47d18e7215289a38d2b4~mv2.jpg/v1/fill/w_454,h_341,fp_0.50_0.50,q_90,enc_auto/4dd2e1_1f3b22eebcbc47d18e7215289a38d2b4~mv2.webp)
Annauen Ravacio
Jan 221 min read
Exploring Pythagoras Music Theory using Python
Concept of Octave Higher First Harmonic and Second Harmonic Frequencies Do you wonder how to generate a code that can simulate the Open D...
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Annauen Ravacio
Jan 171 min read
GeoGebra Activity: Tiling or Tesselation Theory of Pythagoras
Please discover how to tessellate polygons and discover what polygons can only tessellate by themselves and as a combination of polygons....
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Annauen Ravacio
Jan 171 min read
The Essence of Hellenistic Period
Abstract This reflection explores the essence of the Hellenistic Period, focusing on the spread of Greek culture and its influence on...
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![Null Space - Linear Algebra](https://static.wixstatic.com/media/4dd2e1_2efd7913f2bc4411a52bc4d618693b90~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_2efd7913f2bc4411a52bc4d618693b90~mv2.webp)
Annauen Ravacio
Jan 161 min read
Null Space - Linear Algebra
https://www.geogebra.org/m/zrzkxpek The matrix-vector multiplication resulted in a zero vector, indicating that the vector collided with...
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Annauen Ravacio
Jan 151 min read
Quiz 3. Babylonian and Sumerian Mathematics
Please feel free to try this ChatGPT generated reviewer. You may use https://www.dcode.fr/babylonian-numbers for the translation part of...
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![Understanding 4D Space by Projecting It Into 3D](https://i.ytimg.com/vi/XE3YDVdQSPo/maxresdefault.jpg)
Annauen Ravacio
Jan 141 min read
Understanding 4D Space by Projecting It Into 3D
Featuring 21:00 onwards - w is the distance from a point in 4D to a point in a 3D cube result = v1 + 2 * v2 In 4D, we can "stack cubes"...
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Annauen Ravacio
Jan 131 min read
Quiz 2. Ancient Egyptian Number System
Generated by ChatGPT Please feel free to answer this Reviewer Quiz. Reference: Bondoc, J. M. F., & Villa, J. C. S. (2024). History of...
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![Eigen Values and Eigen Vectors](https://static.wixstatic.com/media/4dd2e1_ac7265bfc1b749659143b88b7514eb3f~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_ac7265bfc1b749659143b88b7514eb3f~mv2.webp)
Annauen Ravacio
Jan 131 min read
Eigen Values and Eigen Vectors
https://www.geogebra.org/classic/dcy4h78s Use GeoGebra to determine the square matrix, calculate its Eigenvalues, and find the...
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![Egyptian Circle Area Formula](https://static.wixstatic.com/media/4dd2e1_e7b69ae86ec640d3a833358a583c7bf1~mv2.png/v1/fill/w_131,h_57,fp_0.50_0.50,q_95,enc_auto/4dd2e1_e7b69ae86ec640d3a833358a583c7bf1~mv2.webp)
Annauen Ravacio
Jan 131 min read
Egyptian Circle Area Formula
https://www.geogebra.org/classic/udxzy Do you know how the Egyptians approximate the area of a circle? They might be drawing a lot of...
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Annauen Ravacio
Jan 111 min read
Quiz 1: Mathematics during the Prehistoric Times
This long quiz explores the history of mathematics during prehistoric times, focusing on the development of mathematical concepts,...
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![SHS Maths done](https://static.wixstatic.com/media/4dd2e1_137306213be64fcea85ee28928cad28f~mv2.jpg/v1/fill/w_454,h_341,fp_0.50_0.50,q_90,enc_auto/4dd2e1_137306213be64fcea85ee28928cad28f~mv2.webp)
Annauen Ravacio
Jan 111 min read
SHS Maths done
Praise God, I’m done assessing myself with SHS Maths, like Pre-calculus, Basic Calculus, and Statistics and Probability, by having an...
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Annauen Ravacio
Jan 81 min read
Vector Addition in GeoGebra Classic
Try this out! Vector Addition using GeoGebra Classic How to do Vector Addition manually? ChatGPT is our writing assistant.
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![Vector Space and Vector Space Elements with GeoGebra Classic](https://static.wixstatic.com/media/4dd2e1_201144495b4f4db8bd16cfdcb5a0d543~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_201144495b4f4db8bd16cfdcb5a0d543~mv2.webp)
Annauen Ravacio
Jan 81 min read
Vector Space and Vector Space Elements with GeoGebra Classic
A vector space R2 Â is a set of vectors that includes all possible vectors in two-dimensional space. These vectors can be represented by...
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![Exploring the SSR (Sum of Squared Residuals) Function in Regression Line Derivation](https://static.wixstatic.com/media/4dd2e1_544a29a1185643f3839a33dc714ae52a~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_544a29a1185643f3839a33dc714ae52a~mv2.webp)
Annauen Ravacio
Jan 71 min read
Exploring the SSR (Sum of Squared Residuals) Function in Regression Line Derivation
Have you ever wondered why we start with the SSR function and differentiate it to derive the formula for the regression line? Would you...
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![GeoGebra Based Activity + Python Enabled Activity: Regression Line](https://static.wixstatic.com/media/4dd2e1_ebbf3d23b6d54fd78fdc7b3313a5de7e~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_ebbf3d23b6d54fd78fdc7b3313a5de7e~mv2.webp)
Annauen Ravacio
Jan 62 min read
GeoGebra Based Activity + Python Enabled Activity: Regression Line
https://www.geogebra.org/m/hg59wxx2 Regression Line Optimization: Minimizing Orthogonal Perpendicular Distances (TLS) | Note: The Formula...
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![An Intuitive Understanding of the Significance of SE in a Sample Mean Distribution](https://static.wixstatic.com/media/4dd2e1_973619c29d9240acb66cebc01d377b7f~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_973619c29d9240acb66cebc01d377b7f~mv2.webp)
Annauen Ravacio
Jan 41 min read
An Intuitive Understanding of the Significance of SE in a Sample Mean Distribution
Do you wonder why we reject the null hypothesis that the population mean is 160 and conclude that the population mean is not equal to...
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Annauen Ravacio
Dec 14, 20241 min read
Statistical Data Treatment using Python and Google Colab
Curiosity satisfied! Today marked the day of my first experience with treating statistical data using Python and Google Colab, applying...
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![Python journey with the help of ChatGPT, Google Collab and the reference book on Statistics and Probability](https://static.wixstatic.com/media/4dd2e1_74817c40d5054c4d9af1a9d68df02541~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_74817c40d5054c4d9af1a9d68df02541~mv2.webp)
Annauen Ravacio
Dec 13, 20242 min read
Python journey with the help of ChatGPT, Google Collab and the reference book on Statistics and Probability
It would be exciting to write detailed lesson plans for the concepts of Statistics and Probability with in-depth student engagement in...
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![List of Processed Books and Resources](https://static.wixstatic.com/media/4dd2e1_e079605d82634ae8a897828853e8d26e~mv2.png/v1/fill/w_454,h_341,fp_0.50_0.50,q_95,enc_auto/4dd2e1_e079605d82634ae8a897828853e8d26e~mv2.webp)
Annauen Ravacio
Dec 6, 20241 min read
List of Processed Books and Resources
It is okay to trade time with the transformative nature of books, teachers, priests, nuns, schools, and churches for the sake of faith,...
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![Piecewise Function with Discontinuity and Non-differentiability at Boundary Point](https://static.wixstatic.com/media/4dd2e1_180283ee58eb4c339d454ae00c2c3675~mv2.jpg/v1/fill/w_454,h_341,fp_0.50_0.50,q_90,enc_auto/4dd2e1_180283ee58eb4c339d454ae00c2c3675~mv2.webp)
Annauen Ravacio
Oct 30, 20241 min read
Piecewise Function with Discontinuity and Non-differentiability at Boundary Point
Referencing Art only Reference: Pinterest
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