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  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.

学习目标

  • ✓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.

核心概念与检查

  • 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.

单元

核心理论

练习前按清晰顺序掌握本章核心概念。

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

例题讲解

逐步查看方法,并理解每一步为何成立。

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

含答案练习

八道分层练习,从基础熟练到考试应用。请先独立完成,再查看提示或答案。

基础熟练4 分钟

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

提示

Halve three times.

答案指南

21.

基础熟练5 分钟

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

提示

State the law before substituting numbers.

答案指南

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

应用6 分钟

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

提示

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

答案指南

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

应用7 分钟

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

提示

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

答案指南

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

推理8 分钟

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

提示

A check should not merely repeat the same calculation.

答案指南

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

推理9 分钟

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

提示

Define the system and interactions.

答案指南

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

考试题型10 分钟

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

提示

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

答案指南

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

考试题型12 分钟

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

提示

Use accuracy, repeatability, control, and safety.

答案指南

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

常见错误

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

掌握度检查

  • ✓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

章节作业

六道不同作业,从基础到挑战,包含预计用时、提示和答案指南。

基础8 分钟

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

提示

Halve three times.

答案指南

12.

基础10 分钟

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

提示

State the law before substituting numbers.

答案指南

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

进阶12 分钟

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

提示

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

答案指南

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

进阶15 分钟

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

提示

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

答案指南

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

挑战18 分钟

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

提示

A check should not merely repeat the same calculation.

答案指南

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

挑战20 分钟

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

提示

Define the system and interactions.

答案指南

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

50 分钟 / 40 分

完整章节测试

带计时器、完整分值和参考答案的章节自测。

测试计时器

准备开始

剩余时间: 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 分
答案指南

32.

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

3 分
答案指南

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 分
答案指南

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 分
答案指南

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 分
答案指南

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 分
答案指南

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 分
答案指南

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 分
答案指南

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 分
答案指南

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 分
答案指南

14.

单元

官方来源与核验

课程参考来源;教学顺序请始终与学校和老师确认。

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

Physics

IB Diploma DP2: 数学与物理的结构化路线,包含章节、练习和下一步。

返回科目

本章覆盖内容

结构跟随教材,用来帮助组织学习。

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

重点关注

通常容易出错或需要更多复习的部分。

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

来源、日常资料与学习资源

从教材、daily material、PDFs、videos 和 worked examples 开始。

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.

按小主题练习

进入 full tests 前先做 targeted practice,让覆盖情况更清楚。

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 与进度检查

如何衡量本章进度,以及何时加入综合 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.

下一步

完成本章后该做什么,以及它如何连接到下一单元。

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

说明:每学年的正式考试范围请始终以学校、老师和当前官方来源为准。

第 3 章,共 4 章

← 上一章Theme E: Nuclear and quantum physics下一章 →IA and final assessment
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