

IB DP Physics skill pack: log scales and power laws, SL and HL, first assessment 2025. Take logs of y = kxⁿ, plot log y against log x, read the unknown power off the gradient. 33 answered items, 43 student pages.
What this pack is, and what it is not
The IB asks these techniques to be practised inside the topics that need them, so this is a supplement to integrated teaching, not a taught unit: remedial and reference material for a technique the papers assume.
The 300 minutes shown is student working time across the practice bank, not classroom delivery time.
No acquaintance with logarithms is assumed, and no decay physics is taught.
What students learn
- A logarithm and an antilogarithm, including in scientific notation.
- The two logarithm laws: a product becomes a sum, a power becomes a multiplier.
- log y = n log x + log k: the power off the gradient, the constant off the intercept.
- Reading a logarithmic axis, placing a value in its decade, and choosing the axes.
- Semi-log graphs: an exponential relationship straightened as ln y against x.
Seven rule cards and eight worked examples, then seven fluency drills, eleven applied questions and seven exam-style items (four multiple choice, three structured with marks). Eight figures.
IB skills this pack teaches and practises (Tool 3: Mathematics)
- Calculations with logarithmic and exponential functions (taught).
- Constructing and interpreting graphs on logarithmic scales (taught).
- Linearizing graphs, only where appropriate (practised).
- Plotting graphs with appropriate scales and axes (practised).
- Drawing lines of best fit (practised).
- Interpreting gradients and intercepts (practised).
- Calculations with exponents and reciprocals (practised).
What’s included
- Student Worksheet, 43 pages, colour and B&W
- Teacher Key, 54 pages, every item answered with marking guidance
- The editable worksheet, a self-contained HTML file
One source for worksheet and key, so no answer file can drift. Opens in any browser, nothing to install, worksheet editable. SI units and IB command terms throughout. It declares no topic and no understanding: this belongs to the IB skills in the study of physics. Grades 11-12 (ages 16-19), as homework, reference or revision before Paper 1B and the internal assessment.
Part of the IB DP Physics IA and Paper 1B Skills Bundle, 30% off buying the packs separately.
Related resources:
- Proportionality and Scaling, straightening a graph whose power is known
- Measuring the Acceleration of Free Fall, the topic practical (free)
- Resultant Force, Inertia and Newton’s First Law, linearising inside a topic
Updated 26 Oct 2026: please reprint.
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