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 …
C.1 HIGHER LEVEL — PHASE, VELOCITY AND ENERGY IN SIMPLE HARMONIC MOTION IB Physics HL Study Guide and Workbook At Higher Level, simple harmonic motion is described quantitatively using phase angle, sinusoidal equations for displacement and velocity, and equations for …
C.1.1 SIMPLE HARMONIC MOTION IB Physics Study Guide and Workbook Simple harmonic motion is one of the most important models of oscillatory motion in physics. It is used to describe systems such as masses attached to springs, pendulums undergoing small …
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 …
Waves, Electricity, Fields, Nuclear Physics, and Thermal Physics This premium IB Physics HL lesson brings together a set of high-value Paper 2 shortcuts that help students solve common questions more quickly and more accurately. These methods are not substitutes for …
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 …
✅ Important Points to Remember for IB Physics IA 1. Choose a Focused, Measurable Research Question Ensure your question is clear, specific, and includes both independent and dependent variables. Example: How does the length of a pendulum affect its period …










