AHL 4.12 — Data Collection, Categorisation, Reliability and Validity IB Mathematics: Applications and Interpretation HL Lesson Overview In this lesson, we study how to design valid data collection methods, choose relevant variables, categorize numerical data for chi-squared tests, determine appropriate …
A Clear Guide to the Test and the -Test IB Mathematics • Statistics and Probability • Hypothesis Testing • Tests • -Tests Lesson Overview This post gives a clear explanation of two major families of hypothesis tests used in IB …
Piecewise Cost Functions and Mean Price IB Mathematics HL • Functions • Algebraic Modelling • Piecewise Functions Lesson Overview In this lesson, we model the total cost of ordering custom mugs using a piecewise function. The pricing changes after the …
Binomial Distribution — Blood Type O IB Mathematics HL • Probability • Binomial Distribution • Expected Value and Standard Deviation Lesson Overview In this lesson, we model the number of babies with blood type O using a binomial distribution. This …
Savings Growth and Annuity Withdrawals IB Mathematics AI HL • Financial Mathematics • TVM Solver • Compound Interest and Annuities Lesson Overview In this lesson, we use the TI-84 TVM Solver to model two connected financial situations: a savings account …
Sound Intensity and Logarithmic Functions IB Mathematics HL • Logarithms • Exponential Functions • Modelling in Context Lesson Overview In this lesson, we use a logarithmic model to relate the loudness of a sound, measured in decibels (dB), to its …
Euler’s Method (2nd Order Differential Equations) IB Mathematics: Applications & Interpretation HL This lesson extends Euler’s method to second-order differential equations. In IB HL questions, these usually model motion, springs, charge, or other changing systems. The key idea is to …
Euler’s Method (1st Order Only) IB Mathematics: Analysis & Approaches HL This lesson introduces Euler’s method for first-order differential equations. It is an important numerical method used when a differential equation cannot easily be solved exactly, or when the question …
IB HL Mathematics – Paper 1 Sample Questions Unit 3: Geometry • IB Paper 1 (No Calculator) ⭐ About These Questions The following questions are written in the style of IB Mathematics HL Paper 1. Paper 1 questions require clear …
IB HL Paper 2 Sample Questions Set 1: Number and Algebra • Set 2: Functions ⭐ About These Sample Sets These sample Paper 2 questions are designed to show readers what calculator-active IB Mathematics HL questions look like. Each set …
IB HL Paper 1 Sample Questions Set 1: Number and Algebra • Set 2: Functions ⭐ About These Sample Sets These sample Paper 1 questions are designed to give readers a feel for the style, structure, and working expected in …
Scientific Notation — Exam-Style Problem Set These questions combine scientific notation, modelling with spheres, and percentage error. All solutions show full reasoning and correct significant figures (3 s.f. unless stated). Instructions Write answers in the form , where . Use …
1. Read the whole question carefully before starting to solve any part. This will help you to understand the whole problem and see how the different parts relate to each other. 2. Draw a clear diagram showing the geometry of …
The hexagonal shape of honeycombs is significant for several reasons: Overall, the hexagonal shape in honeycombs is a natural architectural marvel that balances strength, efficiency, and storage capacity, enabling bees to create a highly functional and resource-efficient home.
Nature is an abundant source of mesmerizing geometric shapes and patterns. Here are some notable examples: These are just a few examples of the rich variety of geometric shapes and patterns found in nature. From the microscopic world of snowflakes …
Geometric Shapes and Patterns Geometric shapes and patterns have been a fundamental part of human civilization since ancient times. They can be found in various aspects of our daily lives, from architecture and design to nature and art. The study …