--- title: "What a 14-year-old learns" description: "302 topics are written for age 14, across 13 subjects." canonical: https://lightmysky.com/learn/age/14 source: https://lightmysky.com/learn/age/14.md retrieved: 2026-10-19 --- > **Agent view.** This is the Markdown twin of the page, for tools and assistants. > When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md > API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md > Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt > Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json > Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`. # What a 14-year-old learns 302 topics are written for age 14, across 13 subjects. Topics are placed by what they need, not by school year, so this is a starting point rather than a syllabus. Page: https://lightmysky.com/learn/age/14 ## English - [Advanced Punctuation for Clarity](https://lightmysky.com/learn/english/advanced-punctuation-for-clarity-mt_lsO9O-_eZH): Use punctuation confidently and accurately for effect and clarity — including semicolons to link related clauses, colons to introduce lists or explanations, dashes and parentheses for parenthetical information, ellipsis for omission or suspense, and commas for coordinate adjectives and nonrestrictive elements - [Grammar for Effect](https://lightmysky.com/learn/english/grammar-for-effect-mt_N5tiL3uIeq): Analyse the effectiveness and impact of grammatical features in texts read — understanding how authors make deliberate grammatical choices (sentence length, passive voice, fronted adverbials, listing) to create specific effects on the reader - [Literary and Language Terminology](https://lightmysky.com/learn/english/literary-and-language-terminology-mt_HCweOHWSiu): Discuss reading, writing, and spoken language with precise and confident use of linguistic and literary terminology — including terms for word classes, sentence types, clause types, literary devices, and text-level features - [Types of Sentences](https://lightmysky.com/learn/english/types-of-sentences-mt_T9IXrlxfx2): Choose among and construct simple, compound, complex, and compound-complex sentences to signal different relationships among ideas, varying sentence patterns deliberately for meaning, interest, and style - [Verb Voice and Mood](https://lightmysky.com/learn/english/verb-voice-and-mood-mt_N5tciHU8cE): Understand and use active and passive voice deliberately, and recognise verb moods (indicative, imperative, subjunctive, conditional) and their effects — choosing the appropriate voice and mood for purpose and audience - [Analysing Text Structure](https://lightmysky.com/learn/english/analysing-text-structure-mt_II6iw4BmJI): Analyse how a text's structure — including its overall organisation, use of chapters, stanzas, scenes, paragraphs, or sections — contributes to its meaning, style, and development of ideas - [Critical comparison across texts](https://lightmysky.com/learn/english/critical-comparison-across-texts-mt_1GF5MeNZPA): Make critical comparisons of themes, characters, settings, styles, or arguments across two or more works, including texts from different periods, genres, or cultures - [Evaluating arguments in non-fiction](https://lightmysky.com/learn/english/evaluating-arguments-in-non-fiction-mt_gMSFymQlrW): Evaluate arguments and claims in non-fiction texts. Assess whether reasoning is sound and evidence is relevant and sufficient. Distinguish between fact and opinion, and recognise bias, propaganda, and rhetorical techniques. - [Figurative Language and Literary Devices](https://lightmysky.com/learn/english/figurative-language-and-literary-devices-mt_DVSHx3YMkN): Determine the meaning of figurative and connotative language in context, analyse the impact of specific word choices on meaning and tone, and identify literary devices such as metaphor, simile, personification, allusion, and irony - [Narrative Perspective and Unreliable Narrators](https://lightmysky.com/learn/english/narrative-perspective-and-unreliable-narrators-mt_x2sWtfTeYT): Analyse point of view and narrative perspective (including first person, third person limited and omniscient, and unreliable narrator) and how the author's or narrator's perspective shapes the reader's understanding and creates effects such as suspense, irony, or humour - [Plot Structure and Character Development](https://lightmysky.com/learn/english/plot-structure-and-character-development-mt_Hqz5y_tWz2): Analyse how plot structure unfolds through episodes or key events, and how characters develop, respond to challenges, and change over the course of a narrative — including the relationship between character, setting, and plot - [Poetic forms and conventions](https://lightmysky.com/learn/english/poetic-forms-and-conventions-mt_aClzPBiS9k): Recognise and understand poetic conventions — including form (sonnet, ballad, free verse), metre, rhyme scheme, stanza structure, imagery, and sound devices (alliteration, assonance, onomatopoeia) — and analyse how poets use them for effect - [Purpose, audience, and context](https://lightmysky.com/learn/english/purpose-audience-and-context-mt_jIcgbCmziD): Identify the purpose, audience, and context of a text and use this knowledge to support comprehension — recognising how writing aimed at different audiences (academic, popular, persuasive) uses different conventions, register, and tone - [Tracing Theme Across a Text](https://lightmysky.com/learn/english/tracing-theme-across-a-text-mt_wGxq92Na5g): Determine and analyse the theme or central idea of a text, trace how it develops across the text through key details and events, and provide an objective summary distinct from personal opinion - [Understanding drama and performance](https://lightmysky.com/learn/english/understanding-drama-and-performance-mt_tIi6L1n7kF): Understand how dramatists communicate meaning through performance — including staging, direction, set design, lighting, and actors' choices — and how different productions can interpret the same script differently - [Using and Evaluating Textual Evidence](https://lightmysky.com/learn/english/using-and-evaluating-textual-evidence-mt_dmFnJzxKwz): Cite specific textual evidence to support analysis of what a text says explicitly and what can be inferred, distinguishing between strong and weak evidence and explaining how the evidence supports a point - [Wide Independent Reading Across Genres](https://lightmysky.com/learn/english/wide-independent-reading-across-genres-mt_9k1qcpvVi_): Read widely and independently across fiction and non-fiction — including whole novels, short stories, plays, poetry, and non-fiction from different genres, periods, and cultures — building stamina, breadth, and personal taste as a reader - [Performing Scripts & Poetry](https://lightmysky.com/learn/english/performing-scripts-and-poetry-mt_ylFTYS80d1): Improvise, rehearse, and perform play scripts and poetry — using role, intonation, tone, volume, mood, silence, stillness, and action to generate language, explore meaning, and add impact to performance - [Speaking Formally and Giving Presentations](https://lightmysky.com/learn/english/speaking-formally-and-giving-presentations-mt_z07UNAIsNc): Use Standard English confidently in formal and informal spoken contexts. Give short speeches and presentations expressing your own ideas clearly, keeping to the point, and adapting register and vocabulary to the audience. - [Formal Debates](https://lightmysky.com/learn/english/formal-debates-mt_Yrjn8jAt1c): Participate in formal debates and structured discussions — presenting a position with supporting evidence, responding to others’ points, summarising and building on what has been said, and following rules of discussion - [Applying Spelling Rules to Complex Words](https://lightmysky.com/learn/english/applying-spelling-rules-to-complex-words-mt_4PA9IrxtCQ): Spell correctly and consistently, applying the spelling patterns and rules from KS1-2 to increasingly complex vocabulary encountered in KS3 reading and subject-specific study - [Academic Vocabulary](https://lightmysky.com/learn/english/academic-vocabulary-mt_OLwNsTI6C7): Acquire and use accurately a broad range of general academic vocabulary and domain-specific words, drawing new vocabulary from reading and listening and deploying it consciously in writing and speech to achieve particular effects - [Advanced Figurative Language](https://lightmysky.com/learn/english/advanced-figurative-language-mt_MlmIrLb_7x): Understand and interpret figurative language, word relationships, and nuances in word meaning (including allusion, irony, pun, oxymoron, and extended metaphor), and distinguish between connotation and denotation when analysing or choosing words - [Vocabulary Strategies](https://lightmysky.com/learn/english/vocabulary-strategies-mt_WZnwITSWr8): Determine the meaning of unknown and multiple-meaning words and phrases using a flexible range of strategies, including context clues, Greek and Latin affixes and roots, reference materials, and verification of inferred meaning - [Cohesion and Transitions Across Writing](https://lightmysky.com/learn/english/cohesion-and-transitions-across-writing-mt_tn1rY9GbEZ): Use varied transitions, cohesive devices, and paragraph-linking strategies to create coherence across a whole piece of writing — including temporal transitions, causal connectives, and techniques for signalling shifts in argument, time, or setting - [Developed Informational and Explanatory Writing](https://lightmysky.com/learn/english/developed-informational-and-explanatory-writing-mt_zCUIJLdK_s): Write informative and explanatory texts that examine a topic and convey ideas clearly — organising information logically with headings and formatting, developing the topic with relevant facts, definitions, details, and quotations, and using precise vocabulary - [Persuasive Writing](https://lightmysky.com/learn/english/persuasive-writing-mt_Qxyikkkzam): Write arguments to support claims with clear reasons and relevant evidence — including introducing claims, acknowledging counterclaims, organising reasons logically, maintaining a formal style, and providing a concluding statement - [Planning, Revising and Editing Writing](https://lightmysky.com/learn/english/planning-revising-and-editing-writing-mt_av-uRBrhwT): Plan, revise, and edit writing to improve coherence and effectiveness — considering how the writing reflects its intended audience and purpose, amending vocabulary, grammar, and structure, and proofreading for accurate spelling, punctuation, and grammar - [Research & Source Evaluation](https://lightmysky.com/learn/english/research-and-source-evaluation-mt_Qcsl1Z1x0l): Summarise and organise material from reading and research — gathering relevant information from multiple sources, assessing credibility, integrating evidence without plagiarising, and supporting ideas with factual detail - [Writing Across Genres](https://lightmysky.com/learn/english/writing-across-genres-mt_9lN0SpKlEH): Write for a range of purposes and audiences beyond narrative — including scripts, poetry, personal and formal letters, notes for talks, and other forms — selecting the appropriate form, register, and conventions for each - [Writing Character & Dialogue](https://lightmysky.com/learn/english/writing-character-and-dialogue-mt_BLzNxSSdWu): Write narratives that develop real or imagined experiences using effective technique — including establishing context and point of view, developing characters through dialogue, pacing, and description, using varied transitions, and providing a reflective conclusion - [Writing Techniques for Effect](https://lightmysky.com/learn/english/writing-techniques-for-effect-mt_s6-6FYb5UQ): Apply growing knowledge of vocabulary, grammar, and text structure to writing — drawing on literary and rhetorical devices from reading (e.g., rhetorical questions, tricolon, anaphora, contrast) to enhance impact - [Analysing Connections in Informational Texts](https://lightmysky.com/learn/english/analysing-connections-in-informational-texts-mt_1F3cnUHjMb): Analyse how individuals, events and ideas interact in informational texts: how an idea shapes a person's actions, how events influence one another, and how authors use comparisons, analogies and categories to connect or distinguish them - [Comparing Texts Across Media](https://lightmysky.com/learn/english/comparing-texts-across-media-mt_wpLz5Y17cJ): Compare a written text with its audio, video or multimedia version, analysing how each medium portrays the subject; weigh the advantages and disadvantages of different mediums for presenting a particular topic or idea - [Following Multi-Step Procedures](https://lightmysky.com/learn/english/following-multi-step-procedures-mt_b_3jwAsZ7a): Follow a written multi-step procedure precisely when carrying out experiments, taking measurements or performing technical tasks: read the whole procedure first, work through the steps in order, and notice when a result signals a missed step - [Advanced Collaborative Discussions](https://lightmysky.com/learn/english/advanced-collaborative-discussions-mt_4oegcJcRlQ): Take part in demanding group discussions: arrive prepared with evidence from reading or research, follow agreed rules and roles, pose questions that connect several speakers' ideas, and qualify or justify views when new evidence emerges - [Multimedia in Presentations](https://lightmysky.com/learn/english/multimedia-in-presentations-mt_7LrPGIbf8Z): Integrate multimedia and visual displays into presentations with intent: choose clips, images, charts and sound that clarify information, strengthen claims and evidence, and add interest rather than decoration - [Digital Writing and Publishing](https://lightmysky.com/learn/english/digital-writing-and-publishing-mt_dN7QLqqJ4j): Use technology to produce and publish writing: type fluently over long stretches, link to and cite sources, lay out ideas and their relationships clearly on screen, and collaborate with others in shared documents - [Verbals: Gerunds, Participles and Infinitives](https://lightmysky.com/learn/english/verbals-gerunds-participles-and-infinitives-mt_bz_7yQVJaw): Explain what gerunds, participles and infinitives are and the job each does in a particular sentence: a gerund acting as a subject ('Swimming is fun'), a participle describing a noun, an infinitive expressing purpose - [Effect-Led Analysis of a Writer's Choices](https://lightmysky.com/learn/english/effect-led-analysis-of-a-writers-choices-mt_rONa89oLc4): Treat every language feature as a decision the writer made, and argue what that decision does to a reader. The move here is away from labelling devices and towards explaining effect. - ...and 15 more at https://lightmysky.com/learn/english ## History - [Who Really Built the Pyramids](https://lightmysky.com/learn/history/who-really-built-the-pyramids-mt_xAG0aMeAIN): Analyse who built the pyramids and why, evaluating the evidence against the alien-builder myth and the slave-labour myth: archaeological evidence from worker villages at Giza shows a paid, skilled, well-fed workforce; discuss the social functions of monument building as a form of state organisation, religious duty, and employment; and assess the current controversy over newly discovered construction ramps and logistics - [Fall of Ancient Egyptian Civilisation](https://lightmysky.com/learn/history/fall-of-ancient-egyptian-civilisation-mt_5qNMVZi3dQ): Trace the end of ancient Egyptian civilisation through its successive conquests — Assyrian, Persian, Macedonian (Alexander the Great), and finally Roman — and explain how each conqueror was simultaneously shaped by Egyptian culture; examine Cleopatra VII as the last pharaoh and as a multilingual political strategist; and consider what survives of ancient Egypt in modern culture, religion, and language - [Fall of the Roman Republic](https://lightmysky.com/learn/history/fall-of-the-roman-republic-mt__o3TCmfomv): Trace how Roman political violence — the murder of the Gracchi brothers, civil wars between Marius and Sulla, Caesar's crossing of the Rubicon and assassination on the Ides of March, and the final war between Octavian and Antony — destroyed the Republic and led to one-man rule under Augustus, and debate whether the fall of the Republic was inevitable or a series of choices - [Weighing Historical Causes](https://lightmysky.com/learn/history/weighing-historical-causes-mt_BjY92Ahl-S): Analyse events with many causes and effects: sort causes into types (long-term and short-term, underlying and trigger), evaluate which mattered most, and defend that judgement with evidence - [Change and Continuity](https://lightmysky.com/learn/history/change-and-continuity-mt_OusQE68QDs): Analyse a period for what changed and what stayed the same: classify developments as change, continuity, or both; judge how fast and how deep change ran; and notice that life can transform in one way while barely moving in another - [Historical Significance](https://lightmysky.com/learn/history/historical-significance-mt_dy3l8XHcb1): Understand that significance is a judgement, not a fact: analyse why some people and events are remembered — deep change, many lives affected, lasting consequences — and why the judgement can differ between viewpoints and eras - [The Industrial Revolution](https://lightmysky.com/learn/history/the-industrial-revolution-mt_tiftXKn0P6): How coal, steam and the factory changed where people worked, where they lived and how fast goods could be made, first in Britain and then across much of the world. The same century that raised output also produced the factory town and its costs. - [Empire and Its Costs](https://lightmysky.com/learn/history/empire-and-its-costs-mt_i3Yw06vg5I): How a handful of states came to rule much of the world, and what that took: the Atlantic slave trade, forced and cheap labour, land, and raw materials shipped home. Enslaved and colonised people resisted throughout, and abolition was won, not granted. - [The First World War](https://lightmysky.com/learn/history/the-first-world-war-mt_9-0GTkTf6b): Why an alliance system turned one assassination into a war across continents, what industrial weapons did to the men who fought it, and how the settlement of 1919 left the next twenty years loaded. - [Weighing a source's reliability](https://lightmysky.com/learn/history/weighing-a-sources-reliability-mt_24TQ9c30NI): Judge how much weight a source can carry: who made it, when, for whom, and what they were in a position to know. Reliability is a question about one specific claim, not a label stuck on a whole document. - [Why Empires Fall](https://lightmysky.com/learn/history/why-empires-fall-mt_ofR2rPlIkQ): Rome, Han China, the Maya cities and the Egyptian New Kingdom all ended, and the explanations repeat: overstretch, disease, climate, a broken succession, a frontier that stops paying. Comparing cases is how you tell a cause from a story. ## Mathematics - [Generating Sequences](https://lightmysky.com/learn/mathematics/generating-sequences-mt_yXO7lQ9Yn7): Generate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is arithmetic, geometric, or neither - [Inequalities and their solution sets](https://lightmysky.com/learn/mathematics/inequalities-and-their-solution-sets-mt_i2F1nWxJjv): Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations - [Solving linear equations](https://lightmysky.com/learn/mathematics/solving-linear-equations-mt_QhFEDyIwSO): Use algebraic methods to solve linear equations in one variable, including rearranging, expanding brackets, collecting terms on both sides, and working with rational coefficients. - [Linear Function Graphs](https://lightmysky.com/learn/mathematics/linear-function-graphs-mt_WBdHkc2HTf): Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context - [Nth-Term Rules](https://lightmysky.com/learn/mathematics/nth-term-rules-mt_HRKzwEQJgO): Find the nth-term expression for an arithmetic sequence by identifying the common difference and the zero-term, and use it to determine any term in the sequence or test whether a given number belongs to the sequence - [Plotting Linear Graphs](https://lightmysky.com/learn/mathematics/plotting-linear-graphs-mt_-3udyo6VyB): Plot linear graphs by generating a table of values, reduce a two-variable linear equation to the form y = mx + c, and calculate gradients from two points on a line - [Simple formulae](https://lightmysky.com/learn/mathematics/simple-formulae-mt_3qrCtdoVAU): Understand and use standard mathematical formulae; rearrange formulae to change the subject, performing inverse operations to isolate a different variable - [Reading solutions from a graph](https://lightmysky.com/learn/mathematics/reading-solutions-from-a-graph-mt_Yw27nweoTj): Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts - [Expanding Double Brackets](https://lightmysky.com/learn/mathematics/expanding-double-brackets-mt_KhS7K1Mgrw): Expand products of two or more binomials, e.g., (x + 3)(x - 2) = x² + x - 6, using the grid method or FOIL; simplify the result by collecting like terms - [Quadratic Graphs](https://lightmysky.com/learn/mathematics/quadratic-graphs-mt_GZuoYaDdWd): Recognise that quadratic functions produce curved (parabolic) graphs, distinguish them from linear graphs, and use plotted quadratic graphs to estimate values and find approximate solutions - [Simultaneous equations](https://lightmysky.com/learn/mathematics/simultaneous-equations-mt_mqgu72aCMz): Understand that a simultaneous solution is the pair of values at which two linear graphs meet, and verify that pair by substituting into both equations. - [Scatter Graphs](https://lightmysky.com/learn/mathematics/scatter-graphs-mt_BdAeZJUOir): Plot bivariate data on a scatter graph with correctly labelled axes and appropriate scales; describe the correlation (positive, negative, none) and draw an estimated line of best fit where appropriate - [Scatter Graphs & Correlation](https://lightmysky.com/learn/mathematics/scatter-graphs-and-correlation-mt_8atyuvPUZc): Describe simple mathematical relationships between two variables using scatter graphs, identify positive, negative, or no correlation, and use a line of best fit to make predictions - [Area and volume formulae](https://lightmysky.com/learn/mathematics/area-and-volume-formulae-mt_tAJH5BrpOx): Derive and apply formulae for the area of triangles, parallelograms, and trapezia, and for the volume of cuboids and other prisms (including cylinders), connecting each formula to its geometric reasoning - [Angle sums in triangles and polygons](https://lightmysky.com/learn/mathematics/angle-sums-in-triangles-and-polygons-mt_J03RFlVdas): Derive and use the angle sum in a triangle (180°), use it to deduce the angle sum in any polygon ((n−2) × 180°), and calculate interior and exterior angles of regular polygons - [Coordinate Transformations](https://lightmysky.com/learn/mathematics/coordinate-transformations-mt_K0Y15w48SY): Identify properties of translations, rotations, and reflections; describe and perform these transformations on given figures, and understand that the image is congruent to the original - [Triangle congruence criteria](https://lightmysky.com/learn/mathematics/triangle-congruence-criteria-mt_167X6Ax8P7): Know and use the criteria for triangle congruence (SSS, SAS, ASA, RHS), use standard labelling conventions for sides and angles of triangle ABC, and determine whether two triangles are congruent - [Angles with parallel lines](https://lightmysky.com/learn/mathematics/angles-with-parallel-lines-mt_H_pNJ3ZI_S): Understand and use the relationship between parallel lines cut by a transversal: corresponding angles, alternate interior angles, and co-interior (same-side interior) angles; use these to find unknown angles - [Circles: Circumference & Area](https://lightmysky.com/learn/mathematics/circles-circumference-and-area-mt_svFa6_mjO_): Calculate the circumference and area of circles using the formulae C = πd (or 2πr) and A = πr², and solve problems involving perimeters and areas of composite shapes that include circular parts - [Similarity and enlargement](https://lightmysky.com/learn/mathematics/similarity-and-enlargement-mt_y-BuQAfw4B): Understand similarity as a relationship where one shape is an enlargement of another; construct similar shapes by enlargement with a given scale factor and centre, with and without coordinate grids - [Ruler and compass constructions](https://lightmysky.com/learn/mathematics/ruler-and-compass-constructions-mt_ZrsqGVG-Wt): Use ruler and compasses to perform standard constructions: perpendicular bisector of a line segment, perpendicular to a line from or at a given point, and bisecting an angle - [Trigonometry basics](https://lightmysky.com/learn/mathematics/trigonometry-basics-mt_KB_Czd7RQH): Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given problem - [Pythagoras' Theorem](https://lightmysky.com/learn/mathematics/pythagoras-theorem-mt_1VmTUxBrNd): Apply Pythagoras’ Theorem (a² + b² = c²) to calculate unknown side lengths in right-angled triangles, including in real-world and coordinate-geometry contexts - [Integer powers and roots](https://lightmysky.com/learn/mathematics/integer-powers-and-roots-mt_hCVPYlF-7Y): Use integer powers and associated real roots (square, cube, and higher); recognise powers of 2, 3, 4, and 5; distinguish between exact representations of roots and their decimal approximations - [Bounds and error in rounded values](https://lightmysky.com/learn/mathematics/bounds-and-error-in-rounded-values-mt_VVn1IXjkzn): Use approximation through rounding to estimate answers and calculate possible resulting errors expressed using inequality notation a < x ≤ b; understand upper and lower bounds of rounded values - [Powers of Ten Notation](https://lightmysky.com/learn/mathematics/powers-of-ten-notation-mt_bO-njVOige): Interpret and compare positive numbers in standard form A × 10ⁿ, where 1 ≤ A < 10 and n is an integer; convert between ordinary notation and standard form - [Number Sets & Infinity](https://lightmysky.com/learn/mathematics/number-sets-and-infinity-mt_b4lbTOJYwI): Appreciate the infinite nature of the sets of integers, real numbers, and rational numbers; position integers on a number line and distinguish between rational and irrational numbers - [Sets & Venn Diagrams](https://lightmysky.com/learn/mathematics/sets-and-venn-diagrams-mt_1YwOCMMwD8): Enumerate sets and their unions and intersections systematically using tables, grids, and Venn diagrams to organise and count outcomes - [Tree diagrams](https://lightmysky.com/learn/mathematics/tree-diagrams-mt_GDtFU5fyUv): Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes - [Compound Units](https://lightmysky.com/learn/mathematics/compound-units-mt_kLQOzZYrd5): Use compound units such as speed (distance ÷ time), unit pricing (cost ÷ quantity), and density (mass ÷ volume); solve problems involving compound units - [Proportional Reasoning Vocabulary](https://lightmysky.com/learn/mathematics/proportional-reasoning-vocabulary-mt_ATYLKt0je-): Know and use advanced vocabulary of multiplicative reasoning — direct proportion, inverse proportion, ratio, rate, unit rate, compound unit, scale factor — accurately in problem-solving contexts - [Proportion Graphs](https://lightmysky.com/learn/mathematics/proportion-graphs-mt_FspV_imUGK): Represent proportional relationships using double number lines (two parallel number lines aligned at 0) and ratio tables; recognise that equivalent ratios generate straight lines through the origin when graphed - [Percentages (age 12+)](https://lightmysky.com/learn/mathematics/percentages-age-12-mt_iEXqN48w3x): Solve problems involving percentage increase, percentage decrease, finding the original value after a percentage change, and calculating simple interest - [Proportion](https://lightmysky.com/learn/mathematics/proportion-mt_5mIcmKRCgA): Recognise and solve problems involving direct proportion (as one quantity increases, the other increases at a constant rate) and inverse proportion (as one increases, the other decreases), including graphical and algebraic representations - [Ratio Notation and Relationships](https://lightmysky.com/learn/mathematics/ratio-notation-and-relationships-mt_yK51ZnKA8m): Understand that a multiplicative relationship between two quantities can be expressed as a ratio; use ratio notation; simplify ratios - [Laws of Exponents](https://lightmysky.com/learn/mathematics/laws-of-exponents-mt_UjNba32kkz): Apply the rules of integer exponents to write equivalent expressions: multiply powers by adding indices, divide by subtracting, raise a power to a power by multiplying, and interpret zero and negative exponents (3² × 3⁻⁵ = 3⁻³ = 1/27) - [Two-Way Tables](https://lightmysky.com/learn/mathematics/two-way-tables-mt_oD1Rgg52n3): Construct and read two-way tables that sort the same people by two categories at once (e.g., year group against preferred sport); use row and column totals and relative frequencies to judge whether the two categories are associated - [Using a Calculator Well](https://lightmysky.com/learn/mathematics/using-a-calculator-well-mt_FZE80D2jS_): Use a calculator to get accurate answers and interpret them sensibly: key in multi-step calculations respecting the order of operations, use brackets and memory, round the display appropriately, and sanity-check results by estimating first - [Factorising Quadratics into Two Brackets](https://lightmysky.com/learn/mathematics/factorising-quadratics-into-two-brackets-mt_3QXgmWKfoA): Undo the expansion of two brackets for quadratics of the form x² + bx + c by finding the number pair that multiplies to c and adds to b. Check every answer by expanding it back. - [Difference of Two Squares and Perfect Square Trinomials](https://lightmysky.com/learn/mathematics/difference-of-two-squares-and-perfect-square-trinomials-mt_GSpsHuserT): Recognise the two quadratics that factorise on sight: a² - b² splitting into (a + b)(a - b), and a perfect square trinomial folding back into one bracket squared. - ...and 21 more at https://lightmysky.com/learn/mathematics ## Personal & Social Development - [Emotional intelligence](https://lightmysky.com/learn/personal-and-social-development/emotional-intelligence-mt_mydcMoa8gN): Introduce Goleman's five-part emotional intelligence model: self-awareness, self-regulation, motivation, empathy and social skills. Learn ambivalence, nostalgia, schadenfreude, awe and cognitive dissonance. Reflect on emotional responses over time, distinguish naming a feeling from controlling it, and recognise when to seek support. - [Global Citizenship](https://lightmysky.com/learn/personal-and-social-development/global-citizenship-mt_5XLhiqmocP): Explore how decisions across borders affect people's lives, including climate justice, forced migration, global health and poverty. Distinguish checkable claims from value judgments. Weigh responsibilities to nearby people and distant strangers. Examine evidence-based giving and effective altruism as one framework for comparing ways to help. Develop a reasoned view and choose safe, practical actions while recognising uncertainty. - [Leadership Styles and Influence](https://lightmysky.com/learn/personal-and-social-development/leadership-styles-and-influence-mt_8StiXnYq1u): Distinguish different leadership styles (directive, democratic, servant, transformational) and understand when each is appropriate; understand that influence in a group comes with responsibility, and explore the difference between leading through inspiration versus coercion; practise inclusive leadership: actively creating space for quieter voices and diverse perspectives; understand the ethics of influence and the boundary between persuasion and manipulation; explore concepts of consent and coercion in peer relationships; reflect on what kind of influence they want to have in their communities - [Ethical Frameworks and Moral Reasoning](https://lightmysky.com/learn/personal-and-social-development/ethical-frameworks-and-moral-reasoning-mt_LPYPuSaxv_): Introduce the three main ethical frameworks: consequentialism (judge actions by outcomes and overall welfare), deontology (judge actions by adherence to rules and duties regardless of consequences), and virtue ethics (judge actions by the character they reflect); apply each framework to real-world moral dilemmas: climate responsibility, AI ethics, civil disobedience, wealth inequality, healthcare rationing; understand the strengths and limitations of each framework; develop the capacity for careful moral reasoning — the ability to think through ethical questions systematically rather than relying only on intuition or group opinion - [Growth Through Adversity](https://lightmysky.com/learn/personal-and-social-development/growth-through-adversity-mt__J2BO4V95l): Understand that facing serious challenges can lead to genuine growth in three domains: new perspectives on life, improved relationships, and a strengthened sense of personal capability (post-traumatic growth); distinguish genuine growth from toxic positivity ('everything happens for a reason') and from denial; understand that resilience does not mean being unaffected by adversity but recovering and growing through it; develop a personal philosophy for handling setbacks based on meaning-making; explore how to support others going through serious difficulty without minimising their experience - [Naming and ranking your own values](https://lightmysky.com/learn/personal-and-social-development/naming-and-ranking-your-own-values-mt_SRNX36_g65): Name values in your own words and explore examples or actions you aspire to take. Use a particular conflict to explain priorities, reasons and likely consequences. Treat rankings as reflection tools that may depend on context. Examine circumstances when actions differ from stated priorities before changing a ranking or future behaviour. - [Setting a Boundary and Holding It](https://lightmysky.com/learn/personal-and-social-development/setting-a-boundary-and-holding-it-mt_JpJ4qi-SP8): State a limit in one sentence, give one reason, and offer what you will do instead. Then hold it when the other person pushes, using the same words rather than new excuses. - [CPR and the Recovery Position](https://lightmysky.com/learn/personal-and-social-development/cpr-and-the-recovery-position-mt_ahwfva-o1j): What to do when someone is unresponsive: check breathing, call for help and a defibrillator, start chest compressions at the right depth and rate, and use the recovery position when they are breathing. Includes why bystanders hesitate and what removes the hesitation. - [Vaping, smoking and the decision in the moment](https://lightmysky.com/learn/personal-and-social-development/vaping-smoking-and-the-decision-in-the-moment-mt_0D_HAYKu7K): Explain nicotine dependence and risks to a developing brain. Distinguish known vaping harms from uncertainties about long-term effects. Practise a refusal and safe exit before an offer, and identify ways to get support. ## Science - [The Biodiversity Crisis](https://lightmysky.com/learn/science/the-biodiversity-crisis-mt_44HkROUnzE): Quantify the current biodiversity crisis: extinction rates 100-1000x the background rate; explain methods for measuring biodiversity loss (species-area relationship, population viability analysis, IUCN Red List categories); evaluate rewilding case studies — Yellowstone wolf reintroduction triggering a trophic cascade that changed river courses; Iberian lynx recovery; describe minimum viable population theory and conservation triage; examine ethical debates in deciding which species to prioritise - [Grouping Species Using DNA](https://lightmysky.com/learn/science/grouping-species-using-dna-mt_fqAkSv3cUE): Explain cladistics: organisms are grouped by shared derived characters, not just similarity; how phylogenetic trees are built using molecular data (DNA sequence alignment) and the molecular clock; explain why birds are technically a group within dinosaurs (crown Avemetatarsalia); distinguish convergent evolution (unrelated species evolving similar traits) from parallel evolution; introduce horizontal gene transfer and why the tree of life is more accurately a web; explain why classification systems keep changing as new data emerge - [Mass Extinctions in Earth History](https://lightmysky.com/learn/science/mass-extinctions-in-earth-history-mt_IP0PTVfTXp): Compare the five major mass extinction events in Earth history (End-Ordovician, Late Devonian, End-Permian, End-Triassic, K-Pg), describe proposed kill mechanisms for each (glaciation, oceanic anoxia, volcanic mega-eruptions, asteroid impact), and explain why mass extinctions, while catastrophic, also open ecological space for subsequent evolutionary radiations - [Reconstructing Ancient Ecosystems](https://lightmysky.com/learn/science/reconstructing-ancient-ecosystems-mt_8_BxtNDrLZ): Reconstruct an ancient ecosystem using multiple independent lines of evidence: isotope analysis of teeth to infer diet and migration, bone histology (growth rings) to estimate age and growth rate, coprolite chemistry for diet, and palaeobotany for habitat — understanding that palaeontology is an evidence-synthesis discipline - [Megafauna Extinction & De-Extinction](https://lightmysky.com/learn/science/megafauna-extinction-and-de-extinction-mt_tGZ2sMzMGz): Evaluate the debate over what drove Pleistocene megafauna to extinction — human overkill, climate change, or a combination — using evidence from fossil records, ancient DNA, and archaeological sites; connect to the present-day sixth mass extinction and consider the ethics and feasibility of de-extinction using ancient DNA - [Biodiversity & Resilience](https://lightmysky.com/learn/science/biodiversity-and-resilience-mt_xSs0xAd6i1): Explain what biodiversity means, why high biodiversity makes ecosystems more resilient, and describe the ways human activity threatens biodiversity (habitat destruction, pollution, invasive species, climate change) - [Evidence for Evolution](https://lightmysky.com/learn/science/evidence-for-evolution-mt_ohUnzoI_nx): Describe the main types of evidence for evolution: the fossil record (change over time), comparative anatomy (homologous structures), and the geographic distribution of related species - [Extinction & Rapid Change](https://lightmysky.com/learn/science/extinction-and-rapid-change-mt_-r3B4FQyX3): Explain how environmental change can outpace a species' ability to adapt through natural selection, leading to extinction, using historical and contemporary examples - [Genetic Mutation](https://lightmysky.com/learn/science/genetic-mutation-mt_rOqo-8GeKt): Explain genetic mutation as a random change in DNA sequence, describe causes of mutation (e.g. radiation, chemicals, copying errors), and explain that most mutations are neutral, some harmful, and a few beneficial - [How Natural Selection Works](https://lightmysky.com/learn/science/how-natural-selection-works-mt_FuVEZ1Ac9s): Explain how heritable variation and unequal reproductive success can change trait frequencies across generations through natural selection, one mechanism of evolution; competition is one possible source of selection pressure. - [Predicting Inherited Traits](https://lightmysky.com/learn/science/predicting-inherited-traits-mt_o7FJPDsHiW): Explain how alleles are inherited in sexual reproduction and use Punnett squares to predict the probability of offspring inheriting a characteristic, including dominant and recessive alleles - [Renewable vs non-renewable energy](https://lightmysky.com/learn/science/renewable-vs-non-renewable-energy-mt_w2A8D76ymp): Distinguish renewable resources, including solar, wind, hydroelectric, tidal, geothermal and replenished biomass, from non-renewable fuels such as coal, oil, gas and uranium. Compare cost, reliability and environmental impacts. - [Moments, Pressure & Hooke's Law](https://lightmysky.com/learn/science/moments-pressure-and-hookes-law-mt_vuNjYx3qOy): Calculate moments using force × perpendicular distance, explain pressure transmission in enclosed liquids and atmospheric pressure, and describe spring extension, Hooke's Law, the limit of proportionality and the elastic limit. - [Motors & the Motor Effect](https://lightmysky.com/learn/science/motors-and-the-motor-effect-mt__7BVYUN180): Explain the motor effect as the force on a current-carrying conductor in a magnetic field, and describe how this principle is used in electric motors and loudspeakers - [Earth's Atmosphere & CO2](https://lightmysky.com/learn/science/earths-atmosphere-and-co2-mt_mTpV-0rtkO): Describe the composition of Earth's atmosphere (mainly nitrogen and oxygen, with small amounts of CO₂ and other gases), explain how human activity increases CO₂, and describe the impact on global climate - [Finite Resources & Recycling](https://lightmysky.com/learn/science/finite-resources-and-recycling-mt_0e5rZxbAeR): Explain that many raw materials (metals, fossil fuels, minerals) are finite resources, describe the environmental costs of extraction, and evaluate the benefits of recycling and the circular economy - [The Reactivity Series](https://lightmysky.com/learn/science/the-reactivity-series-mt_zsYW61cn_q): Order common metals in the reactivity series and explain how a more reactive metal displaces a less reactive one; describe how carbon is used to extract metals from their oxides in industry - [The Rock Cycle](https://lightmysky.com/learn/science/the-rock-cycle-mt_NckKLZ3uCE): Explain the rock cycle: how igneous rocks form from magma, sedimentary rocks from compressed sediment, and metamorphic rocks from heat and pressure, and how all rock types can transform into one another over geological time - [Ceramics, Polymers & Composites](https://lightmysky.com/learn/science/ceramics-polymers-and-composites-mt_w83U-_noVR): Describe the properties and uses of ceramics (hard, brittle, heat-resistant), polymers (flexible, lightweight, variable), and composites (combine properties of constituent materials), giving real-world examples of each - [Predator Loss and Ecosystem Effects](https://lightmysky.com/learn/science/predator-loss-and-ecosystem-effects-mt_NPTjGJIyb3): Quantify energy transfer efficiency through trophic levels (~10% rule); explain trophic cascades: how removing an apex predator triggers a chain of ecosystem changes (sea otters → sea urchin explosion → kelp forest collapse); define 'fishing down the food web'; evaluate evidence for ocean rewilding: shark reintroduction, whale recovery driving nutrient cycling; understand why ecosystem-based fisheries management is needed - [Deep-Ocean Exploration Technology](https://lightmysky.com/learn/science/deep-ocean-exploration-technology-mt_kKxbPHi5Db): Explain how crewed submersibles (Alvin, Deepsea Challenger) and remotely operated vehicles (ROVs) allow exploration of the deep; describe acoustic seafloor mapping using sonar and why only ~25% of the ocean floor has been mapped at high resolution; explore why the deep ocean is harder to explore than the surface of the Moon (pressure, cold, darkness, communication difficulties); survey astrobiology missions targeting ocean worlds in our solar system - [Anaerobic Respiration](https://lightmysky.com/learn/science/anaerobic-respiration-mt_TKZefYXaVS): Explain anaerobic respiration in animals as the incomplete breakdown of glucose to lactic acid when oxygen is in short supply, causing muscle fatigue; contrast this with aerobic respiration in terms of energy yield and products - [Body Temperature Regulation](https://lightmysky.com/learn/science/body-temperature-regulation-mt_zaXr5wcJD2): Explain how the body detects temperature changes and responds through sweating, shivering, vasodilation and vasoconstriction to regulate core temperature. - [Pathogens & the Immune System](https://lightmysky.com/learn/science/pathogens-and-the-immune-system-mt_1VIE8FlZvL): Explain how pathogens (bacteria, viruses, and fungi) cause disease and describe how the immune system responds, including the roles of white blood cells (phagocytosis, antibody production) and the concept of immunity - [Effects of Drugs & Alcohol](https://lightmysky.com/learn/science/effects-of-drugs-and-alcohol-mt_2R3xRpYhMa): Explain how psychoactive drugs affect the brain, behaviour and health, including harm from alcohol and tobacco smoke, and distinguish depressant, stimulant and hallucinogen effects. - [Writing Science Reports](https://lightmysky.com/learn/science/writing-science-reports-mt_ThTbUuNb3p): Communicate scientific findings in a structured report using appropriate scientific vocabulary, SI units, and standard notation; describe how peer review and replication contribute to the reliability of scientific knowledge - [Where Elements Come From](https://lightmysky.com/learn/science/where-elements-come-from-mt_KYx0m4OyZv): Explain how the early universe produced mainly hydrogen and helium, how stellar nuclear reactions make many heavier elements, and how neutron capture builds elements beyond iron in several settings. Describe how material returned by stars and stellar events enters later stars, planets and living things. - [Mars Missions and the Search for Life](https://lightmysky.com/learn/science/mars-missions-and-the-search-for-life-mt_EIbltgXRWR): Evaluate radiation, reduced body loading in microgravity, isolation and communication delays during a long Mars mission. Describe SETI's searches for signs of extraterrestrial technology and discuss the Fermi Paradox, including proposed explanations that remain unconfirmed and may overlap. - [Life Cycle of a Star](https://lightmysky.com/learn/science/life-cycle-of-a-star-mt_lHasFmgvnT): Describe the life cycle of a star from nebula through main sequence to its end state (white dwarf, neutron star, or black hole depending on mass), and relate the life cycle to the origin of elements heavier than hydrogen - [DNA & Genes](https://lightmysky.com/learn/science/dna-and-genes-mt_0sELh0MYWb): Describe the double helix structure of DNA (base pairs, complementarity), explain how genes are sections of DNA that code for proteins, introduce the central dogma (DNA → mRNA → protein) conceptually, and discuss the ethical implications of CRISPR gene editing — including potential benefits (genetic disease treatment) and concerns (germline editing, 'designer babies') - [How the Body Stays in Balance](https://lightmysky.com/learn/science/how-the-body-stays-in-balance-mt_J40cOn7VWn): Explain homeostasis as the process of maintaining a stable internal environment; describe the main feedback loop systems (negative feedback) using blood glucose regulation (insulin/glucagon) and body temperature as concrete examples; and connect the endocrine system (hormone-secreting glands) to the nervous system as two complementary communication systems with different speeds and durations - [Cancer & Stem Cells](https://lightmysky.com/learn/science/cancer-and-stem-cells-mt_roinupb_7L): Explain that cancer occurs when mutations in DNA disable normal cell-cycle controls, causing uncontrolled cell division and tumour formation; describe how stem cells differ from specialised cells and their potential for regenerative medicine; and evaluate the ethical debates around embryonic stem cell research and genetic testing - [Hazard Assessment & Evacuation](https://lightmysky.com/learn/science/hazard-assessment-and-evacuation-mt_edaoZRkK6M): Explain probabilistic hazard assessment using eruption recurrence intervals and fault slip rates; describe how volcano observatories monitor ground deformation, gas emissions, and seismicity to issue alert levels; explore why communities remain near active hazards (fertile volcanic soil, poverty, cultural ties); discuss the ethics and politics of evacuation decisions and the social justice dimensions of disaster risk - [Volcanoes & Mass Extinctions](https://lightmysky.com/learn/science/volcanoes-and-mass-extinctions-mt_QwWo6an9N1): Explain how large igneous provinces (LIPs) — massive outpourings of lava over millions of years — caused global warming and ocean acidification that drove mass extinctions; connect the Siberian Traps to the end-Permian extinction and the Deccan Traps to the end-Cretaceous event; explore how hydrothermal vents on the early Earth may have been the cradle of life; understand volcanoes as both destroyers and creators in the history of life - [Reading Ancient Climate Records](https://lightmysky.com/learn/science/reading-ancient-climate-records-mt_olFzbawexJ): Explain how ice cores preserve ancient air bubbles, isotope ratios, and volcanic markers allowing reconstruction of temperature and CO2 going back 800,000 years; describe tree rings, ocean sediment cores, coral skeletons, and pollen records as additional climate proxies; explain how climate models are built and validated against the palaeoclimate record; describe the IPCC process of synthesising scientific evidence across thousands of studies to produce consensus assessments - [Net Zero & Energy Transition](https://lightmysky.com/learn/science/net-zero-and-energy-transition-mt_Wzj1RETm9A): Evaluate the energy transition required to reach net zero: renewable energy scaling, electrification of transport and heat, green hydrogen; describe carbon capture and storage (CCS) and direct air capture (DAC); introduce proposed solar radiation management techniques (stratospheric aerosol injection, marine cloud brightening) and their potential risks and governance challenges; critically evaluate the role of individual behaviour change versus systemic policy in reducing emissions - [Analog and Digital Signals](https://lightmysky.com/learn/science/analog-and-digital-signals-mt_gg5-bUckYX): How information travels as signals in waves: analog signals vary continuously while digital signals encode information as patterns of on/off pulses, and digitised signals can be copied, stored and sent with far less loss and noise - [Electromagnetic induction and generators](https://lightmysky.com/learn/science/electromagnetic-induction-and-generators-mt_e0jgUKANT-): Explain how a changing magnetic field through a coil induces voltage and can drive current in a closed circuit. Describe mechanical input to generators, current reversal in a simple AC generator, and Faraday's experiments. - [Assessing Hazards and Risks](https://lightmysky.com/learn/science/assessing-hazards-and-risks-mt_r66rs2EVkZ): Evaluate risks before and during practical work: identify hazards (a substance, flame or procedure that could cause harm), judge how likely and how serious the harm would be, and choose sensible control measures to reduce the risk - [Scientific Quantities and Units](https://lightmysky.com/learn/science/scientific-quantities-and-units-mt_vdHqdaflog): Use scientific quantities with correct units: pair every measurement with its unit (metres, kilograms, seconds, newtons, joules), pick sensible prefixes like milli- and kilo-, convert between them, and call chemicals by their proper scientific names - ...and 42 more at https://lightmysky.com/learn/science ## Geography - [Thematic Maps and GIS](https://lightmysky.com/learn/geography/thematic-maps-and-gis-mt_khsAUcwLke): Make and interpret thematic maps: choropleth, dot and flow maps of population, rainfall or trade; use GIS layers and satellite imagery to spot spatial patterns and ask why they occur - [Comparing World Regions](https://lightmysky.com/learn/geography/comparing-world-regions-mt_cY5D2gWt0Y): How cultural and environmental characteristics vary across world regions; how cultural patterns and economic decisions shape landscapes and daily life; and how the character of a place feeds into people's sense of identity - [Settlements, Movement and Connections](https://lightmysky.com/learn/geography/settlements-movement-and-connections-mt_Kq3quvrn63): How transport and communication networks link settlements and spread people, goods and ideas; how human-environment relationships shape settlement patterns; how global population shifts change land use in particular places - [Geography of World Trade](https://lightmysky.com/learn/geography/geography-of-world-trade-mt_Vpbi5Z4ypw): Why world trade flows the way it does: environments and resources decide where things can be grown, mined or made; location, transport routes and chokepoints shape the spatial pattern of imports and exports - [Environmental Change and Conflict](https://lightmysky.com/learn/geography/environmental-change-and-conflict-mt_Vlp61dF3KL): How long-term human-caused environmental change (deforestation, water scarcity, a warming climate) puts pressure on land, water and food, and how that pressure drives both conflict and cooperation between communities and countries - [Population Growth and Age Structure](https://lightmysky.com/learn/geography/population-growth-and-age-structure-mt_0X30bM1Hox): A country's population changes through births, deaths and migration, and the balance between those three leaves an age structure behind: some countries mostly young, others mostly old. The structure decides what the country has to plan for. - [Migration at World Scale](https://lightmysky.com/learn/geography/migration-at-world-scale-mt_xZ-ZHtIrvF): Follow one migration route end to end: what pushed people out, what pulled them to a destination, what the journey cost, and what changed at both ends. The place people leave changes as much as the place they reach. - [Urbanisation and the Growth of Cities](https://lightmysky.com/learn/geography/urbanisation-and-the-growth-of-cities-mt_EF-n2IXJ3-): More than half the world now lives in urban areas, and most of the growth is in Asia and Africa. Cities grow both from people arriving and from births inside them, and housing and services usually arrive late. - [Drainage Basins and Why Rivers Flood](https://lightmysky.com/learn/geography/drainage-basins-and-why-rivers-flood-mt_Vu4fTs7goJ): Everything that falls on a basin has to leave it, and how fast it gets to the channel decides whether the river rises gently or all at once. Concrete, drains and cleared hillsides all shorten that journey. - [Choosing How to Defend a Coast](https://lightmysky.com/learn/geography/choosing-how-to-defend-a-coast-mt_3Px4N4va3o): Sea walls, groynes, beach nourishment and doing nothing are all real options, and each moves the problem somewhere or someone else. Defending one town often starves the beach of the next one along. - [Fieldwork That Answers a Question](https://lightmysky.com/learn/geography/fieldwork-that-answers-a-question-mt_ejnJbK_swN): Good fieldwork starts with a question you could be wrong about, and a plan for where and how often to measure. Everything after that is deciding what would count as an answer. - [Turning Field Data Into an Argument](https://lightmysky.com/learn/geography/turning-field-data-into-an-argument-mt_A1qZ6jJ472): Numbers collected in the field only become geography when they are put in a form that answers the question, and when their limits are stated. A chart that hides the sample size is not an answer. ## Civics & Economics - [Constitutions and Separation of Powers](https://lightmysky.com/learn/civics-and-economics/constitutions-and-separation-of-powers-mt_kxIAbYuR5i): How constitutions set up and limit government: why countries write down the rules for rule-making; how power is divided between branches and levels so each can check the others; how systems differ across countries - [Democratic Ideals and Founding Documents](https://lightmysky.com/learn/civics-and-economics/democratic-ideals-and-founding-documents-mt_dK8hcP-1tS): The ideas behind the United States' founding documents: liberty, equality and consent of the governed in the Declaration of Independence, the Constitution and the Bill of Rights; how these ideals shaped, and still test, American life - [Parties, Interest Groups and the Media](https://lightmysky.com/learn/civics-and-economics/parties-interest-groups-and-the-media-mt_Eb9SeGnavc): Who tries to shape public decisions besides officials: political parties bundle ideas and candidates; interest groups and charities push causes; journalists inform and scrutinise; citizens weigh what each says and wants - [Deliberation and Democratic Decision-Making](https://lightmysky.com/learn/civics-and-economics/deliberation-and-democratic-decision-making-mt_0U9eaCtm5u): Deliberate before deciding: state a position with reasons, listen seriously to opposing views, separate personal interest from the common good, then use debate, voting, consensus or representatives to reach a decision the group can accept - [Citizens in Public Life](https://lightmysky.com/learn/civics-and-economics/citizens-in-public-life-mt_G6PCjvFUCO): The roles people play in public life: voter, juror, taxpayer, petitioner, volunteer, protester, office-holder; what each role can and can't achieve, and how individuals and groups size up their power to change things - [Public Policy and Public Problems](https://lightmysky.com/learn/civics-and-economics/public-policy-and-public-problems-mt_5vYuvjkprY): Weigh policies as solutions to public problems: define the problem, compare alternatives, and ask who each option helps, who it burdens, and what it costs, since almost every policy has winners, losers and side effects - [How Markets Work](https://lightmysky.com/learn/civics-and-economics/how-markets-work-mt_IWiQW8Sq2R): Buyers and sellers meet in markets for products, work and money; competition pushes prices and wages up or down; supply and demand shifts explain shortages, sales and price spikes; firms, non-profits and unions each play a part - [Money, Banking and Interest Rates](https://lightmysky.com/learn/civics-and-economics/money-banking-and-interest-rates-mt__aqBHw2wZM): Why money beats barter: it makes trading fast and lets value be stored and compared; how banks connect savers and borrowers, and how a change in interest rates ripples out to loans, savings, spending and big purchases - [Inflation, Unemployment and Growth](https://lightmysky.com/learn/civics-and-economics/inflation-unemployment-and-growth-mt_Zr0YyQwtKy): Reading an economy's vital signs: inflation as rising prices, unemployment as people seeking work, growth as more being produced; who gains and who is hurt when prices climb or fall or jobs disappear - [Trade Policy and Barriers](https://lightmysky.com/learn/civics-and-economics/trade-policy-and-barriers-mt_l_l6qXfRle): Governments shape trade with tariffs, quotas and rules; a tariff can protect local factories yet raise prices for everyone; weighing who wins and who loses when trade is made freer or more restricted - [Scarcity, Opportunity Cost and the Production Frontier](https://lightmysky.com/learn/civics-and-economics/scarcity-opportunity-cost-and-the-production-frontier-mt_p_c7nNzHEw): Wants run ahead of what the available time, money and land can make, so every choice gives up the next best use of the same resources. A production frontier draws that trade-off for a whole economy: points inside waste resources, points outside are out of reach, and moving along the curve costs some of the other good. - [Demand and Supply as Curves](https://lightmysky.com/learn/civics-and-economics/demand-and-supply-as-curves-mt_FyYrlvzXct): A demand schedule and a supply schedule become two curves on the same axes: quantity demanded falls as price rises, quantity supplied rises with it. Reading a quantity off a price, and a price off a quantity, is the basic move the rest of the model is built from. - [Market Equilibrium, Shortage and Surplus](https://lightmysky.com/learn/civics-and-economics/market-equilibrium-shortage-and-surplus-mt_SarFx2o1IM): Where the two curves cross, the amount buyers want matches the amount sellers offer and the market clears. Away from that price a shortage or a surplus builds up, and what disappointed buyers and stuck sellers do next is the pressure that pushes the price back. - [Shifts in Demand and Supply](https://lightmysky.com/learn/civics-and-economics/shifts-in-demand-and-supply-mt_z7FcJ9BAz3): Income, tastes, the price of a substitute, a new technology or a ruined harvest move a whole curve rather than sliding along it. A fixed routine follows any event through: decide which curve moves, decide which way, then read the new crossing point. - [How a Law Actually Gets Made](https://lightmysky.com/learn/civics-and-economics/how-a-law-actually-gets-made-mt_G6NfTNWnbR): Between somebody's idea and a rule the police can enforce there are drafts, committees, amendments and at least two chambers or their equivalent. Most proposals die somewhere in the middle, and knowing where is how you know who really decides. - [Courts, Judges and a Fair Trial](https://lightmysky.com/learn/civics-and-economics/courts-judges-and-a-fair-trial-mt_jJF6pQc7a6): Courts decide what a law means when people disagree, and in most systems they can strike down a government action. What makes a trial fair is a short list, and every item on it was fought for. - [Rights and Their Limits](https://lightmysky.com/learn/civics-and-economics/rights-and-their-limits-mt_FLOs4KxTlj): Almost no right is absolute: speech, privacy, assembly and property all run into other people's rights and into public safety. The interesting work is in where the line is drawn and who draws it. - [Who Gets to Vote, and How Votes Become Seats](https://lightmysky.com/learn/civics-and-economics/who-gets-to-vote-and-how-votes-become-seats-mt_nteHv_swOv): The franchise was widened in stages, each one contested, and it is still narrower than it looks. How votes are counted then decides how much a vote is worth, and different counting rules give different governments from identical ballots. - [Campaigns, Money and the Media](https://lightmysky.com/learn/civics-and-economics/campaigns-money-and-the-media-mt_uBWxmdMU2d): Getting elected costs money, and where the money comes from shapes what candidates say and who they answer to afterwards. Coverage and targeted advertising then decide which of those messages anyone hears. ## Design & Technology - [Iterative Design and Prototyping](https://lightmysky.com/learn/design-and-technology/iterative-design-and-prototyping-mt_fYD3KaViOZ): Develop a design through repeated cycles: build a model or prototype, test it against criteria, use the results to find weaknesses, and modify the design; run the loop several times so each version measurably beats the last - [CAD and Making by Machine](https://lightmysky.com/learn/design-and-technology/cad-and-making-by-machine-mt_jNf8g85YbY): A design drawn on a computer can be sent straight to a machine that cuts, prints or mills it. What the machine can and cannot do reaches back into the design, which is why the drawing changes once you know how it will be made. - [Making One, Making Thousands](https://lightmysky.com/learn/design-and-technology/making-one-making-thousands-mt_0wbzsY10cQ): The cheapest way to make one of something is almost never the cheapest way to make ten thousand. Tooling, jigs and tolerances are the price of repeating a design exactly. - [Designing for the People Who Use It](https://lightmysky.com/learn/design-and-technology/designing-for-the-people-who-use-it-mt_QPznzhuBNI): Bodies vary, and a product sized for an average nobody actually is will fail most people. Measured body data, reach and grip, and the needs of people with limited sight or movement all belong in the brief. - [Cooking Methods That Carry Across Recipes](https://lightmysky.com/learn/design-and-technology/cooking-methods-that-carry-across-recipes-mt_-fGuaw1mON): There are only a few things heat can do to food, and every recipe is a combination of them. Someone who understands frying, boiling, roasting and baking as methods can cook without a recipe in front of them. - [Feeding Yourself on a Budget](https://lightmysky.com/learn/design-and-technology/feeding-yourself-on-a-budget-mt_C1XoXVJlgA): Eating well on a fixed amount of money is a planning problem, not a willpower problem. Unit price, batch cooking, and what actually gets eaten before it spoils decide the outcome. - [Systems: Input, Process, Output](https://lightmysky.com/learn/design-and-technology/systems-input-process-output-mt_bMNTQ-3a_u): Any made thing can be drawn as a block diagram: what goes in, what is done to it, what comes out. Drawing it that way shows where a fault must be before anything is opened up. - [Why Food Goes Bad and How to Stop It](https://lightmysky.com/learn/design-and-technology/why-food-goes-bad-and-how-to-stop-it-mt_Nw5F4g18lY): Food spoils because microbes grow in it, and every preserving method is an attack on one of the things they need: warmth, water, air or time. Cooking, chilling, drying, salting and canning are the same idea applied differently. - [Planning Meals for a Whole Week](https://lightmysky.com/learn/design-and-technology/planning-meals-for-a-whole-week-mt_T_GY879Oa7): Planning a week is a design problem with real constraints: what is in the cupboard, who is home, how long each evening allows, and what has to be used before it spoils. A plan that ignores any of those falls apart by Wednesday. ## Computing - [Variables and Assignment in Text Code](https://lightmysky.com/learn/computing/variables-and-assignment-in-text-code-mt_uLHLaX8BQq): Storing a value under a name in written code, then replacing it later. The name holds whatever was last assigned to it, which is how a program remembers anything. - [Input, Output and Type Conversion](https://lightmysky.com/learn/computing/input-output-and-type-conversion-mt_lZmkGSELbC): Reading what a user types, printing results back, and converting typed text into a number before doing arithmetic with it. - [Arithmetic in Code: Integer Division and Remainder](https://lightmysky.com/learn/computing/arithmetic-in-code-integer-division-and-remainder-mt_ZPnPrLGPmT): The arithmetic a program actually offers, including whole-number division and the remainder, and the order operators are applied in. - [Boolean Expressions and Comparison Operators](https://lightmysky.com/learn/computing/boolean-expressions-and-comparison-operators-mt_0aIh-DPCZ4): Expressions that come out true or false: comparisons between values, and the way and, or and not combine them. - [Selection with if, elif and else](https://lightmysky.com/learn/computing/selection-with-if-elif-and-else-mt_zylJ-p9g1g): Making a program take one path or another according to a condition, including several branches tested in order until one fits. - [Count-Controlled Loops](https://lightmysky.com/learn/computing/count-controlled-loops-mt_r1eXTWI_6j): Repeating a block a known number of times, with a loop variable that takes each value of a range in turn. - [Binary Numbers and Place Value](https://lightmysky.com/learn/computing/binary-numbers-and-place-value-mt_t67akIKBmI): Counting with two digits, where each column is worth twice the column to its right. Converting both ways between binary and decimal. - [Adding Binary Numbers and Overflow](https://lightmysky.com/learn/computing/adding-binary-numbers-and-overflow-mt_dBS2OoQscq): Adding binary numbers column by column with a carry, and what happens when the answer needs more bits than the space it has. - [Hexadecimal as Binary Shorthand](https://lightmysky.com/learn/computing/hexadecimal-as-binary-shorthand-mt_OV6PHdnU6N): Writing four bits as one of sixteen digits, so long binary values can be read and typed by people without anything being lost. - [Character Sets: Storing Text as Numbers](https://lightmysky.com/learn/computing/character-sets-storing-text-as-numbers-mt_839VNNZlp2): Every character has an agreed number, and the text on screen is those numbers drawn by a font. A shared standard is what lets two machines read the same file, and one byte per character stopped being enough. - [Bitmap Images: Pixels, Resolution and Colour Depth](https://lightmysky.com/learn/computing/bitmap-images-pixels-resolution-and-colour-depth-mt_-Tr40QK8sN): A picture stored as a grid of pixels, each one a binary colour value. Resolution and colour depth decide both how it looks and how big the file is. - [Sampling Sound into Numbers](https://lightmysky.com/learn/computing/sampling-sound-into-numbers-mt_yTA4W-yFjy): Recording sound by measuring the wave thousands of times a second and storing each measurement as a binary number. Sample rate and bit depth change the quality and the size together. - [Weighted Models: Learned Parameters and Written Code](https://lightmysky.com/learn/computing/weighted-models-learned-parameters-and-written-code-mt_3_1toZUxak): In a weighted model, training fits numerical parameters to examples. Human-written code defines the calculation and training process. Small models can be traced directly; interpreting a large model can be harder. - [Training Data: Where It Came From and What It Leaves Out](https://lightmysky.com/learn/computing/training-data-where-it-came-from-and-what-it-leaves-out-mt_1Lw0TMHShk): Training-data coverage, collection dates and permitted use provide evidence about a model's risks. They do not establish suitability alone. Testing should reflect the people, conditions and task where the model will be used. - [Writing a Prompt That Says What You Actually Want](https://lightmysky.com/learn/computing/writing-a-prompt-that-says-what-you-actually-want-mt_dJ5-SDX3Ck): A chatbot uses the context available to it, not private intentions that were never supplied. Stating the task, audience, format and limits helps reduce unwanted assumptions and provides criteria for reviewing its answer. - [Reading a Program Someone Else Wrote](https://lightmysky.com/learn/computing/reading-a-program-someone-else-wrote-mt_VdxhuxjBSn): Most code a person meets was written by somebody else. Working out what an unfamiliar program does, and then changing it on purpose, is a different skill from writing one from a blank screen. - [Writing an Algorithm Down: Flowcharts and Pseudocode](https://lightmysky.com/learn/computing/writing-an-algorithm-down-flowcharts-and-pseudocode-mt_RCm-4b4Lof): An algorithm can be recorded before any code exists, as a flowchart or as pseudocode. Both fix the order, the decisions and the repetitions, so the plan can be checked on paper and argued about with someone else. - [Spotting a Mistake in Stored or Sent Data](https://lightmysky.com/learn/computing/spotting-a-mistake-in-stored-or-sent-data-mt_wKwax55eo-): Data gets corrupted on the way, so systems send extra bits that only fit when nothing has changed. A parity bit or a check digit catches an error without anybody reading the message. - [Addresses on a Network: IP Addresses, Hostnames and Paths](https://lightmysky.com/learn/computing/addresses-on-a-network-ip-addresses-hostnames-and-paths-mt_tGgw0Vhd8b): IP addresses identify destinations for network data. Ordinary devices on one local network need distinct addresses, while separate private networks can reuse them. A web address contains a hostname and a path. DNS can look up IP addresses for the hostname. - [Using an AI Tool on Schoolwork Without Cheating Yourself](https://lightmysky.com/learn/computing/using-an-ai-tool-on-schoolwork-without-cheating-yourself-mt_fjlXx-hkp_): Use AI within assignment rules while practicing the intended skill. Plan tool-free work, check suggestions, protect private information and describe assistance accurately. Disclosure does not make prohibited use acceptable. ## Learning to Learn - [Retrieval Practice Instead of Rereading](https://lightmysky.com/learn/learning-to-learn/retrieval-practice-instead-of-rereading-mt_Pj5Au-ztqs): Close the book and write down what you remember, then check it against the notes. Pulling the answer out is what builds the memory; rereading mostly builds the feeling that you already know it. - [Spacing Revision Across Weeks](https://lightmysky.com/learn/learning-to-learn/spacing-revision-across-weeks-mt_cuBD3LE88f): Come back to a topic after a gap, and let the gap grow each time the recall goes well. Two short sessions a week apart beat one long session, even though the spaced one feels harder at the time. - [Mixing Topics Instead of Blocking Them](https://lightmysky.com/learn/learning-to-learn/mixing-topics-instead-of-blocking-them-mt_C28PN50zwX): Practise a mixed set rather than twenty questions of the same kind. Mixing makes you choose the method before you apply it, which is the step an exam actually tests. ## Life Skills - [A Budget That Survives a Real Month](https://lightmysky.com/learn/life-skills/a-budget-that-survives-a-real-month-mt_tFRHTFelNG): Split spending into fixed and variable, leave a buffer for the thing you did not predict, then track a month and compare it against the plan. The gap between plan and actual is the number that teaches you something. ## Arts & Music - [Four Eras of Western Classical Music](https://lightmysky.com/learn/arts-and-music/four-eras-of-western-classical-music-mt_qD4DNod70-): Baroque, classical, romantic and modern name four stretches of European music, each with its own habits about size, tune and feeling. Knowing the four gives a listener somewhere to put a piece they have never heard. - [From Work Songs to Hip Hop](https://lightmysky.com/learn/arts-and-music/from-work-songs-to-hip-hop-mt_6cNI4oKzCA): Blues, jazz, rock, soul and hip hop are one connected line, carried mostly by Black American musicians and borrowed from everywhere. Each style kept something from the last and threw something away. - [Listening to a Whole Piece and Saying What Happens](https://lightmysky.com/learn/arts-and-music/listening-to-a-whole-piece-and-saying-what-happens-mt_rtquCTEn0v): Given six minutes of unfamiliar music, a listener can track what enters, what returns and where the piece turns. Saying it out loud is the whole skill. - [Movements: Why Painting Kept Changing](https://lightmysky.com/learn/arts-and-music/movements-why-painting-kept-changing-mt_HRX2JsxDEY): Compare Renaissance painting, impressionism, cubism and abstraction through visual features and artistic aims. These approaches overlap, and artists within them do not all work or think alike. - [Art Traditions Beyond Europe](https://lightmysky.com/learn/arts-and-music/art-traditions-beyond-europe-mt_hg9B9DnGt8): Study selected Chinese tomb sculptures, Japanese woodblock prints and Japanese painted screens. Compare their materials, techniques and purposes, and examine exchanges with artists working in Europe without treating any region as having one fixed artistic standard. - [Theatre Traditions Around the World](https://lightmysky.com/learn/arts-and-music/theatre-traditions-around-the-world-mt_g9NGWncIy6): Greek amphitheatres, Japanese noh, Indian kathakali and European realism each answer the same question differently: how do you show a story to a crowd. Masks, distance and convention do the work. - [Chords and Harmony](https://lightmysky.com/learn/arts-and-music/chords-and-harmony-mt_SWhLE91u-E): Notes sounded together make a chord, and a run of chords underneath a tune is what most songs are built on. A few chords, repeated in an order, carry a whole song. - [The Shape of a Piece](https://lightmysky.com/learn/arts-and-music/the-shape-of-a-piece-mt_sSoi-W_vs-): Music is arranged in sections that repeat, contrast and return, which is why a listener can follow a piece that lasts ten minutes. Verse and chorus, theme and variations, and movements are three of the shapes. - [Music Traditions Around the World](https://lightmysky.com/learn/arts-and-music/music-traditions-around-the-world-mt_FObFf1o8rL): Not every tradition organises music the way European classical music does. Javanese gamelan, Indian raga and West African drumming each set up pitch, rhythm and the role of the players differently. - [Perspective and the Illusion of Depth](https://lightmysky.com/learn/arts-and-music/perspective-and-the-illusion-of-depth-mt_viqsbnnXt5): A flat surface can be made to look deep using rules that were worked out and then taught: lines that converge, things that shrink with distance, colours that fade. Not every tradition wanted that illusion. - [The Camera as an Art Tool](https://lightmysky.com/learn/arts-and-music/the-camera-as-an-art-tool-mt_TIdod5lPOl): A camera records light through a lens, and the photographer still chooses framing, moment and focus. Once photographs could be made, painters stopped needing to be the only record of what things looked like. ## Languages - [Sound Systems, Stress and Accent](https://lightmysky.com/learn/languages/sound-systems-stress-and-accent-mt_dGUiCiHhEP): Work on pronunciation on purpose: the handful of sounds that mark a learner out, where the stress falls, and how words run together in speech. A few targeted changes buy more than general practice. - [Speaking at Length With Reasons](https://lightmysky.com/learn/languages/speaking-at-length-with-reasons-mt_eIQfZ5tswq): Say what you think and why, for several minutes, in the new language. An opinion needs connectives, an example, and a way to concede a point without abandoning it. - [Joining Ideas: Clauses in Another Language](https://lightmysky.com/learn/languages/joining-ideas-clauses-in-another-language-mt_Vf6M9DJmW7): Move past short sentences: relative clauses, reported speech, and the words that hang one idea off another. Every language has its own rules about what joining does to word order. - [How Languages Cut Up Time](https://lightmysky.com/learn/languages/how-languages-cut-up-time-mt_lCx2JzFUeD): Tense is not the whole story. Languages also mark whether an action was finished, repeated, or going on at the time, and choosing between two past forms is usually a decision about that rather than about when. - [Growing Vocabulary by the Thousand](https://lightmysky.com/learn/languages/growing-vocabulary-by-the-thousand-mt_2kBaoqZimP): At this level progress is mostly words. Work with word families and word parts, learn a word with the company it keeps, and take most of the intake from reading and listening volume rather than from lists. - [Reading Material Written for Native Speakers](https://lightmysky.com/learn/languages/reading-material-written-for-native-speakers-mt_R2M7Qh2Rai): Read what the language's own readers read: a menu, a website, a news piece. Decide what to look up and what to leave, and use the surrounding text before reaching for a dictionary. - [Politeness and Everyday Culture](https://lightmysky.com/learn/languages/politeness-and-everyday-culture-mt_p44544zHZH): Languages carry rules about who is addressed how: formal and familiar forms, titles, greetings, and what counts as rude. Getting the words right and the manner wrong still misfires. - [Writing to Someone Who Will Reply](https://lightmysky.com/learn/languages/writing-to-someone-who-will-reply-mt_9l0fpUo3x0): Write a message, letter or post that a real reader answers: use the openings and sign-offs the language uses, say something worth replying to, and check the parts you know you get wrong. - [Knowing Where You Are and What to Fix](https://lightmysky.com/learn/languages/knowing-where-you-are-and-what-to-fix-mt_4qpc9U7hWx): Judge your own level honestly, skill by skill: what you can do in listening, speaking, reading and writing, and which one is holding the others back. Public level descriptions give the yardstick.