Logarithms explained: laws, examples and solving equations
Understand logarithms as the inverse of powers, use the log laws and solve simple exponential equations. Algebra 2 and A-Level, with examples.
High SchoolA-LevelAPReview core ideas behind AP Biology, AP Chemistry, AP US History and AP World History, plus essay and research skills, with worked examples and practice questions. Our AP collection is still growing, so use it alongside your course materials and the College Board's own resources.
StudyMorrow guides are independent study aids, not official course materials, so check your own syllabus or exam specification.
Understand logarithms as the inverse of powers, use the log laws and solve simple exponential equations. Algebra 2 and A-Level, with examples.
High SchoolA-LevelAPLearn how plants make glucose and oxygen from light, water and carbon dioxide, with the equation, limiting factors and practice questions.
KS3GCSEMiddle SchoolHigh School+1Learn the parts of plant and animal cells, what each one does and how to calculate magnification, with worked examples and practice questions.
KS3GCSEMiddle SchoolHigh School+1Compare aerobic and anaerobic respiration in animals and yeast, with the equations, oxygen debt and practice questions to test yourself.
GCSEHigh SchoolAPUnderstand genes, alleles, dominant and recessive traits and how to complete a Punnett square, with worked examples for GCSE and high school.
GCSEA-LevelHigh SchoolAPLearn how enzymes work, why temperature and pH matter and which enzymes digest starch, protein and fat, with worked examples.
GCSEHigh SchoolAPLearn what happens at each stage of mitosis, why cells divide and how to count cells after division, with worked examples and practice questions.
GCSEHigh SchoolAPSee how meiosis makes four different gametes, how it differs from mitosis and why sexual reproduction creates variation, with practice questions.
GCSEHigh SchoolAPUnderstand variation, competition and inheritance, with examples such as peppered moths and antibiotic resistance, and practice questions.
GCSEHigh SchoolAPLearn how the body keeps conditions steady, how insulin and glucagon control blood glucose and what happens in diabetes, with examples.
GCSEHigh SchoolAPCompare how substances move into and out of cells, what affects the rate and how to calculate percentage change in a potato practical.
GCSEHigh SchoolAPCompare ionic and covalent bonding, write ionic formulae and explain properties such as melting point and electrical conductivity.
GCSEA-LevelHigh SchoolAPConvert between mass and moles using Mr, use balanced equations to find reacting masses and calculate concentration, with worked examples.
GCSEA-LevelHigh SchoolAPTurn a topic into a clear, arguable claim for your essay, with a simple formula, weak and strong examples and a quick test.
GCSEA-LevelHigh SchoolAPBuild clear paragraphs with PEEL (UK) or Claim-Evidence-Reasoning (US), with worked examples for English and science answers.
KS3GCSEA-LevelMiddle School+2Use ethos, pathos, logos and devices such as the rule of three and rhetorical questions in speeches and articles, with examples.
KS3GCSEMiddle SchoolHigh School+1Link ideas with semicolons, introduce lists with colons and add emphasis with dashes, with clear rules and examples.
GCSEHigh SchoolAPPlan an essay step by step, from brainstorming to a strong introduction, well-organised paragraphs and a conclusion that answers the question.
GCSEA-LevelHigh SchoolAPWeave short quotations into your sentences and comment on key words, instead of dropping them in, with before-and-after examples.
GCSEA-LevelHigh SchoolAPBreak a quotation down by word class, connotation and effect with the zoom-in method, to write detailed analysis.
GCSEA-LevelHigh SchoolAPLook at how a writer organises a text, from openings and shifts in focus to pacing, sentence length and endings, with examples.
GCSEA-LevelHigh SchoolAPPlan and write a comparison using similarities, differences and comparative connectives, with a clear method.
GCSEA-LevelHigh SchoolAPUnderstand Shakespeare's language, verse and context so you can read and analyse his plays with confidence.
GCSEA-LevelHigh SchoolAPAnalyse a poem by looking at its form, rhyme, rhythm, structure and language, with a step-by-step approach.
GCSEA-LevelHigh SchoolAPJudge whether an argument is convincing and spot common logical fallacies such as ad hominem, straw man and false dilemma.
GCSEA-LevelHigh SchoolAPFind reliable sources, avoid plagiarism by quoting and paraphrasing correctly and understand common citation styles.
GCSEA-LevelHigh SchoolAPLearn the long-term causes of the First World War (militarism, alliances, imperialism, nationalism) and how the 1914 assassination set it off.
GCSEA-LevelHigh SchoolAPFind out why the Industrial Revolution began in Britain, how factories and steam power changed life and what reforms followed.
KS3GCSEMiddle SchoolHigh School+1Get a clear overview of why World War Two began, who fought, the key events and how the war ended in Europe and Asia.
KS3GCSEMiddle SchoolHigh School+1Understand how the Constitution was written, the three branches of government, checks and balances and the first ten amendments.
Middle SchoolHigh SchoolAPUnderstand the rivalry between the US and the Soviet Union from 1945 to 1991, with key events such as the Berlin Wall and the Cuban Missile Crisis.
GCSEA-LevelHigh SchoolAPSee why the Weimar Republic struggled, how the Great Depression helped the Nazis and how Hitler gained power in 1933.
GCSEA-LevelHigh SchoolAPFollow the struggle against segregation in the United States, from Brown v. Board of Education to the Civil Rights Act and Voting Rights Act.
Middle SchoolHigh SchoolAPUnderstand the greenhouse effect, what the Paris Agreement's 1.5°C goal means and the difference between mitigation and adaptation.
GCSEA-LevelHigh SchoolAPLearn why testing yourself beats rereading, and four simple ways to use active recall: flashcards, blank-page recall and practice questions.
KS3GCSEA-LevelMiddle School+3Review material at increasing gaps to remember it long term, with an example schedule and the Leitner box system.
KS3GCSEA-LevelMiddle School+3Plan backwards from your exam dates and use focused study blocks with breaks, with a simple way to share your time between subjects.
KS3GCSEA-LevelMiddle School+3Learn what describe, explain, compare, analyse and evaluate really ask you to do in an exam, using an exam board's definitions.
GCSEA-LevelHigh SchoolAPSet up Cornell notes with cue, notes and summary sections, and turn them into a self-test for revision.
KS3GCSEA-LevelMiddle School+2Use mind maps to organise a topic, then turn them into a memory test so they actually help you remember.
KS3GCSEA-LevelMiddle School+2Learn why mixing question types in one session can improve long-term learning, with an example maths and science session plan.
GCSEA-LevelHigh SchoolAPTurn past papers into focused practice with timing, mark schemes and an error review that shows exactly what to fix.
GCSEA-LevelHigh SchoolAP+1Practical, non-medical ways to cope with exam pressure, from planning and breaks to talking to someone you trust.
GCSEA-LevelHigh SchoolAP+1Use acronyms, acrostics and the method of loci to remember lists and ordered facts, and learn when mnemonics help most.
KS3GCSEA-LevelMiddle School+2Check your understanding by explaining a topic in plain language, spotting the gaps and fixing them.
KS3GCSEA-LevelMiddle School+2Set up your space, plan sessions and manage your phone so your study time is actually productive.
KS3GCSEA-LevelMiddle School+2Survey, Question, Read, Recite and Review: a five-step routine for learning from textbooks and long texts.
GCSEA-LevelHigh SchoolAP+1Plan the last week, the night before and the exam itself: equipment, timing and how to check your work.
GCSEA-LevelHigh SchoolAP+1