Purnima Lallan Sharma Foundation · Est. 2021
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Guides 169–185 of 185

Mathematics

Intermediate

Trigonometry and measurement

A distance and an angle can reveal a height that cannot be measured directly.

Learning outcome: Choose a trigonometric ratio, solve one- and two-position height problems, convert degrees and radians, and explain how measurement errors affect a result.

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Digital skills

Beginner

Understanding AI and checking its work

An AI answer can be fluent, useful and wrong at the same time.

Learning outcome: Explain tokens and context at a beginner level, verify two types of AI error, write an effective practice prompt and protect privacy while preserving your own learning.

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History, literature & society

Beginner

Understanding history and its sources

History explains change in human lives through evidence from the past.

Learning outcome: Read material and written evidence, distinguish an official intention from actual practice, and construct a qualified explanation of change.

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Indian biographies

Intermediate

Vallabhbhai Patel: integration, negotiation and public service

Learn why political integration after independence was a practical problem, how Patel helped address it and how to weigh unity alongside consent and rights.

Learning outcome: Explain accession, distinguish unity from uniformity and compare state-building arguments with questions about consent.

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Hindu texts & traditions

Beginner

Vedas, Upanishads, Ramayana and Gita: what they teach

Hindu sacred literature teaches through hymns, dialogue, disciplined inquiry and the lives of revered figures.

Learning outcome: Identify the main scriptural families and explain Uddalaka’s salt analogy, Nachiketa’s choice, Bharata’s trusteeship and three practical teachings from the Gita.

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Hindu texts & traditions

Beginner

Vishnu, Rama and Krishna: sustaining dharma

Understand Vishnu’s attributes, the idea of avatara and how Rama and Krishna invite different but connected questions about responsibility and devotion.

Learning outcome: Recognise Vishnu’s iconography, explain avatara and compare a duty-based decision with devotion expressed through an offering.

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Earth, weather & environment

Intermediate

Water cycle and groundwater: follow stores and flows

Rain can run off, remain in soil, return to the air or recharge an aquifer.

Learning outcome: Distinguish infiltration, recharge and groundwater flow; calculate a catchment budget and estimate storage change under clearly stated aquifer assumptions.

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Physics

Beginner

Waves, sound and hearing

When a school announcement reaches the back of a room, air from the loudspeaker has not travelled all the way into every listener’s ear.

Learning outcome: Distinguish particle motion from wave motion, calculate wavelength and echo distance, and explain the main stages of hearing using a labelled paper model.

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Earth, weather & environment

Intermediate

Weather, climate and reading trends in data

One cool afternoon does not settle a climate question, and a smooth graph does not remove uncertainty.

Learning outcome: Calculate temperature anomalies and changes between period means, identify measurement artefacts and distinguish an observed trend from a forecast or causal explanation.

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Physics

Intermediate

Work, energy and power: follow transfers and rates

Lifting the same box slowly or quickly changes the required average power, while the ideal energy transfer can stay the same.

Learning outcome: Calculate signed work, kinetic and gravitational potential energy, distinguish energy from power, and test whether a mechanical-energy shortcut is justified.

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Reading, writing & dialogue

Beginner

Write a clear paragraph and revise it

A useful paragraph helps a reader understand one point and see why it matters.

Learning outcome: Turn scattered notes into a coherent paragraph, explain your revisions and check English or Hindi sentence agreement without changing the intended meaning.

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