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International Baccalaureate Mathematics - Statistics, Probability, and 3D Geometry

Jeremy Klassen via YouTube

Overview

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Master advanced mathematical concepts through this comprehensive course covering International Baccalaureate mathematics topics across statistics, geometry, probability, and mathematical reasoning. Explore data analysis techniques including bivariate analysis, grouped data interpretation, and cumulative continuous data handling. Delve into statistical distributions by studying the normal distribution, z-scores, standard normal distribution curves, and binomial distributions, while learning to compare box and whisker plots to normal distributions. Develop three-dimensional mathematical skills through coordinate geometry applications, including distance and midpoint formulas extended to three dimensions, volume and surface area calculations, and trigonometric applications in 3D space. Investigate the relationships between lines and planes, including angle calculations and directional notation applications. Strengthen probability understanding through Venn diagrams, mutually exclusive and non-mutually exclusive events, expected value calculations, and conditional probability scenarios. Build mathematical reasoning capabilities by exploring inductive and deductive reasoning methods, constructing number proofs, equivalence proofs, and identity proofs. Practice sigma notation and sector area calculations while developing problem-solving skills across multiple mathematical domains essential for International Baccalaureate success.

Syllabus

IB Data Lesson
IB Bivariate Anaylsis Lesson
IB Grouped Data Lesson
IB Cumulative Grouped Continuous Data - Lesson
Math 31 Separation of Variables Lesson
IB The Normal Distribution Lesson
IB Comparing Box and Whisker Plots to a Normal Distribution Lesson
IB Z Scores Lesson
IB Standard Normal Distribution Curve Lesson
IB Applications of the Normal Distribution Curve Lesson
IB Binomial Distributions Lesson
IB Extending the Distance and Midpoint Formulas to Three Dimensions Lesson
IB Volume and Surface Area with Coordinate Geometry Lesson
IB Trigonometry and 3D Coordinate Geometry Lesson
IB The Angle Between a Line and a Plane Lesson
IB Sigma Notation Lesson
IB Applications of Direction Notation and Trigonometry Lesson
IB The Area of a Sector Lesson
IB Probability and Venn Diagrams Lesson
IB Mutually Exclusive and Non Mutually Exclusive Events Lesson
IB Introduction to Expected Value Lesson
IB Conditional Probability Lesson
IB Inductive and Deductive Reasoning Lesson
IB Number Proofs Lesson
IB Equivalence Proofs Lesson
IB Identity Proofs Lesson

Taught by

Jeremy Klassen

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