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 …
The knowledge of limits is fundamental to mathematics and plays a crucial role in various branches such as calculus. Understanding limits helps mathematicians and scientists analyse the behaviour of functions, study continuity, and explore the concept of infinity. Here are …
Hypothesis testing is a statistical technique used to make inferences about a population parameter based on a sample of data. The process involves formulating a hypothesis about the population parameter, collecting data, and then using statistical techniques to determine whether …