Skip to main content
YourFavTeacher logo

YourFavTeacher - Learning and tutoring platform

YourFavTeacher
TutorsSubjectsAssignmentsPricing
Study Hub
Study HubStudy GuidesDaily materialPast PapersMock TestsAI Tutor
EN
AI TutorTutors
Log inSign up
Tutors
  1. Home
  2. ›STUDY GUIDE
  3. ›UK, Cambridge, A Level and IB
  4. ›IB Diploma DP2
  5. ›Physics
  6. ›HL extensions and synthesis

IB Diploma DP2 / Physics / Curriculum

HL extensions and synthesis

HL extensions and synthesis: structured theory, worked examples, answered practice, and a mastery checklist for IB Diploma DP2.

CHAPTER PLAN

Learn, practise, and check your progress

Follow the steps in order or jump directly to the part you need.

—/5

completed

Estimated active study time

209 minutes

  1. 1. Understand

    Objectives, key ideas, and structured theory.

    Open →
  2. 2. Follow the method

    Worked examples that explain every step.

    Open →
  3. 3. Practise

    Graded tasks with hints and answer guidance.

    Open →
  4. 4. Consolidate

    Assignments from core work to challenge.

    Open →
  5. 5. Check

    A timed, marked test with solution guidance.

    Open →

Progress is stored only in this browser and does not require AI credits.

Learning objectives

  • ✓Describe “HL mechanics depth” using evidence from observation, measurement, or a model.
  • ✓Describe “HL thermodynamics depth” using evidence from observation, measurement, or a model.
  • ✓Describe “HL waves depth” using evidence from observation, measurement, or a model.
  • ✓Describe “HL fields depth” using evidence from observation, measurement, or a model.
  • ✓Describe “HL quantum/nuclear depth” using evidence from observation, measurement, or a model.

Key ideas and checks

  • I connect a model with experimental evidence.
  • I apply half-life or an energy relation correctly.
  • Every solution or explanation for “HL extensions and synthesis” should include a method, justification, and final check.

Unit

Core theory

The essential chapter ideas in a clear sequence before practice.

01

Model and experimental evidence

Modern physics uses models tested by spectra, scattering, decays, and detectors. Distinguish an observation from its interpretation.

02

Probability and scale

A single nuclear decay is random, but large samples follow predictable laws. Use half-life or an exponential relation with the correct scale.

03

Energy and conservation

In atomic and nuclear processes, check energy, momentum, charge, and particle numbers where applicable. Do not mix eV and J without conversion.

04

HL mechanics depth

For “HL mechanics depth”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

05

HL thermodynamics depth

For “HL thermodynamics depth”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

06

HL waves depth

For “HL waves depth”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

07

HL fields depth

For “HL fields depth”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

08

HL quantum/nuclear depth

For “HL quantum/nuclear depth”, start from an observation or model, define quantities and units where relevant, and separate the changed factor from the measured outcome. Support the conclusion with data and state the test's limitations.

Physics

Worked examples

Follow the method step by step and check why every step is valid.

Worked half-life example

A sample starts with 640 active nuclei and 3 half-lives pass. How many are expected?

  1. 1The expected count halves each half-life.
  2. 2Use N = 640·(1/2)^3.
  3. 3This is a statistical expectation, not a prediction for each nucleus.

N = 80

Reasoning example

Before calculating, explain the key idea from “HL mechanics depth” and which conditions must be checked.

  1. 1Define the idea in one clear sentence.
  2. 2Connect it to a representation, law, or formula.
  3. 3State a restriction, unit, or final check that makes the solution valid.

The answer should show not only which rule is used for “HL mechanics depth”, but also why it is valid here.

HL extensions and synthesis

Practice with answers

Eight graded tasks from core fluency to exam-style application. Work independently before opening a hint or answer.

Core fluency4 minutes

A sample starts with 168 nuclei. How many are expected after three half-lives?

Hint

Halve three times.

Answer guide

21.

Core fluency5 minutes

Structure a solution for “HL thermodynamics depth”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “HL thermodynamics depth”, shows substitution and calculation, and interprets the result.

Application6 minutes

Identify three uncertainty sources in measuring “HL waves depth” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Application7 minutes

Plan a suitable graph for “HL fields depth” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Reasoning8 minutes

Check whether a result for “HL quantum/nuclear depth” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Reasoning9 minutes

Connect “Multi-step problem solving” to energy conservation or a force/field model and justify the choice.

Hint

Define the system and interactions.

Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

Exam style10 minutes

Write a multi-step exam response about “Mathematical modelling” with calculation and evaluation.

Hint

Separate givens, model, calculation, result, and evaluation.

Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

Exam style12 minutes

Compare two methods for investigating “HL mechanics depth” and select the more reliable using criteria.

Hint

Use accuracy, repeatability, control, and safety.

Answer guide

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

Common mistakes

  • Treating half-life as a linear decrease.
  • Confusing radiation with radioactive material.
  • Using a model without connecting it to experimental evidence.

Mastery check

  • ✓I connect a model with experimental evidence.
  • ✓I apply half-life or an energy relation correctly.
  • ✓I check conservation, units, and order of magnitude.

HL extensions and synthesis

Chapter homework

Six distinct assignments from core fluency to challenge, each with an estimated time, hint, and answer guide.

Core8 minutes

Homework 1: A sample starts with 96 nuclei. How many are expected after three half-lives?

Hint

Halve three times.

Answer guide

12.

Core10 minutes

Homework 2: Structure a solution for “HL thermodynamics depth”: givens, SI units, law, substitution, and interpretation.

Hint

State the law before substituting numbers.

Answer guide

A full solution states symbols/units, selects a valid law for “HL thermodynamics depth”, shows substitution and calculation, and interprets the result.

Stretch12 minutes

Homework 3: Identify three uncertainty sources in measuring “HL waves depth” and improve each one.

Hint

Consider instrument resolution, reaction time, repeats, and controls.

Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

Stretch15 minutes

Homework 4: Plan a suitable graph for “HL fields depth” data and explain how to obtain a gradient or relationship.

Hint

Put the independent variable on x and dependent variable on y.

Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

Challenge18 minutes

Homework 5: Check whether a result for “HL quantum/nuclear depth” is sensible using units, order of magnitude, and a limiting case.

Hint

A check should not merely repeat the same calculation.

Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

Challenge20 minutes

Homework 6: Connect “Multi-step problem solving” to energy conservation or a force/field model and justify the choice.

Hint

Define the system and interactions.

Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

50 minutes / 40 marks

Full chapter test

A timed, full-mark self-assessment with model-answer guidance.

Test timer

Ready to start

Time remaining: 50:00

Start the timer when ready, work without notes, show every step, and open model answers only after finishing.

1. A sample starts with 256 nuclei. How many are expected after three half-lives?

2 marks
Answer guide

32.

2. Structure a solution for “HL thermodynamics depth”: givens, SI units, law, substitution, and interpretation.

3 marks
Answer guide

A full solution states symbols/units, selects a valid law for “HL thermodynamics depth”, shows substitution and calculation, and interprets the result.

3. Identify three uncertainty sources in measuring “HL waves depth” and improve each one.

3 marks
Answer guide

A full response links each specific error source to a targeted improvement and identifies random or systematic impact.

4. Plan a suitable graph for “HL fields depth” data and explain how to obtain a gradient or relationship.

4 marks
Answer guide

A full response labels axes/units, uses a suitable scale and best fit; gradient uses a large triangle and is interpreted with units.

5. Check whether a result for “HL quantum/nuclear depth” is sensible using units, order of magnitude, and a limiting case.

4 marks
Answer guide

A full check confirms dimensions/units, compares expected magnitude, and tests behaviour when one variable becomes very small or large.

6. Connect “Multi-step problem solving” to energy conservation or a force/field model and justify the choice.

4 marks
Answer guide

A full response defines the system, describes transfer or interaction, applies the appropriate model, and states losses or limitations.

7. Write a multi-step exam response about “Mathematical modelling” with calculation and evaluation.

5 marks
Answer guide

A full response includes an appropriate diagram/model, laws, algebraic rearrangement, SI substitution, suitably precise result, and evaluation of assumptions.

8. Compare two methods for investigating “HL mechanics depth” and select the more reliable using criteria.

5 marks
Answer guide

The choice must use at least three comparable criteria and acknowledge one trade-off or limitation.

9. Create an extension question about “HL thermodynamics depth”, a prediction, and a data-collection plan.

5 marks
Answer guide

A full response gives a testable question, justified prediction, independent-variable range, repeats, and an analysis method.

10. A sample starts with 112 nuclei. How many are expected after three half-lives?

5 marks
Answer guide

14.

Unit

Official sources and verification

Curriculum reference sources. Always confirm the teaching sequence with the school and tutor.

UK Department for Education - ScienceOfficial national curriculum progression and attainment guidance.International Baccalaureate - DP curriculumOfficial DP subject structure and current subject briefs.

Physics

Link each topic to equations, units, data handling, and required practical thinking.

Back to subject

What this chapter covers

The structure follows the official textbook layout and is used to organise study.

HL mechanics depth
HL thermodynamics depth
HL waves depth
HL fields depth
HL quantum/nuclear depth
Multi-step problem solving
Mathematical modelling

Where to focus

The areas that usually create mistakes or need extra revision.

I connect a model with experimental evidence.
I apply half-life or an energy relation correctly.
I check conservation, units, and order of magnitude.

Sources, daily material, and resources

Where to start: textbook, daily material, PDFs, videos, and worked examples.

Start from the official textbook or specification referenced on the subject page.
Use the notes and examples as support, not as a replacement for the official syllabus.
Check the current syllabus version before exam preparation.

Practice by subtopic

Targeted practice before full tests so coverage is clear.

A sample starts with 168 nuclei. How many are expected after three half-lives?
Structure a solution for “HL thermodynamics depth”: givens, SI units, law, substitution, and interpretation.
Identify three uncertainty sources in measuring “HL waves depth” and improve each one.
Plan a suitable graph for “HL fields depth” data and explain how to obtain a gradient or relationship.
Check whether a result for “HL quantum/nuclear depth” is sensible using units, order of magnitude, and a limiting case.
Connect “Multi-step problem solving” to energy conservation or a force/field model and justify the choice.
Write a multi-step exam response about “Mathematical modelling” with calculation and evaluation.
Compare two methods for investigating “HL mechanics depth” and select the more reliable using criteria.

Mocks and progress checks

How to measure progress in this chapter and when it enters a cumulative mock.

Start with untimed practice by subtopic.
Move to a short timed checkpoint only after completing the mastery checklist.
Record each error with the correct method and revisit it after 48 hours.

Next step

What to do after finishing the chapter and how it connects to the next unit.

Complete the practice without support.
Explain the core method aloud in under two minutes.
Continue to the next chapter or request targeted tutor support.

Note: for the official examinable syllabus of each school year, always confirm with the school, tutor, and current Ministry/IEP announcements.

Chapter 3 of 4

← Previous chapterTheme E: Nuclear and quantum physicsNext chapter →IA and final assessment
YourFavTeacher logo

YourFavTeacher - Learning and tutoring platform

YourFavTeacher

Find trusted tutors for any subject in Greece or online. School, university, languages, tech, business and more.

Social channels

Follow YourFavTeacher for platform updates, study ideas, and education content.

Copyright 2026 YourFavTeacher. Learning and tutoring platform.

YourFavTeacher

  • Tutors
  • Assignments
  • Pricing
  • Blog

Study Hub

  • Study Guides
  • Daily material
  • Past Papers
  • Mock Tests

About

  • How it works
  • Subjects
  • Tutor Materials
  • Contact

Cookies

  • Privacy
  • Terms
  • Cookies
  • Areas