Grade 7

Free lessons for Grade 7: pick a subject for explanations, worked examples, practice questions and flashcards.

33 lessons

Grade 7 Math

11 lessons
  • Algebraic Expressions

    Learners use letters for unknowns and variables, write and evaluate expressions and formulas and combine like terms.

  • Integers and Negative Numbers

    Learners add, subtract, multiply and divide positive and negative numbers, including fractions and decimals, and use them in context.

  • Linear Equations

    Learners solve linear equations with parentheses, fractions and variables on both sides and set up equations to solve problems.

  • Linear Functions and Slope

    Learners find and interpret the slope and intercept of straight-line graphs, write equations in slope-intercept form and model linear situations.

  • Order of Operations

    The child evaluates calculations with several operations and parentheses in the conventional order and writes numerical expressions for word problems.

  • Probability

    Learners calculate probabilities of single events as fractions, decimals and percentages, use complementary events and compare theoretical with experimental probability.

  • Scale Drawings and Dilations

    Learners read and draw scale drawings and maps, enlarge shapes by a scale factor from a center and use bearings to describe directions.

  • Pythagorean Theorem

    Learners use the Pythagorean theorem and its converse to find lengths and test for right angles in 2D problems and simple 3D shapes.

  • Literary Analysis of Fiction

    The learner analyses how plots unfold, how characters change, how setting shapes events, how themes develop and how a narrator's point of view affects the reader.

  • Argument Writing

    The learner writes an argument with a clear claim, reasons and relevant evidence from credible sources, acknowledges and rebuts opposing claims and keeps a formal style.

  • Greek and Latin Roots

    The learner works out words from Greek and Latin roots and affixes, analyses connotation, analogies and allusions, and recognises verbal irony and puns.

  • How to Write an Informative Essay

    The learner writes a multi-paragraph informative essay with a clear focus, grouped information, facts, definitions, quotations, precise words and a conclusion.

  • Atoms, Elements and Compounds

    The learner uses Dalton's atomic model to tell elements, compounds and mixtures apart, reads and writes simple symbols and formulae, and names simple compounds.

  • Cells, Tissues and the Microscope

    The learner uses a light microscope to observe and draw plant and animal cells, names the main cell structures and their jobs, and explains how cells form tissues, organs and organ systems.

  • Ecosystems and Food Webs

    The learner builds food webs, explains interdependence including pollination, describes how toxins accumulate along food chains, and samples a local habitat.

  • Photosynthesis

    The learner explains that plants make glucose by photosynthesis, writes the word equation, links leaf structure to its job, and explains why plants need minerals and why photosynthesis matters for food chains and the…

  • Budgeting and Saving

    The learner plans a personal budget, tracks income and spending, sets saving goals and decides between spending now and saving for later.

  • Citizenship Rights and Responsibilities

    The learner explains how people become US citizens by birth or naturalization, the difference between the obligations of citizens (obeying laws, paying taxes, jury duty, Selective Service registration) and their…

  • Roots of American Democracy

    The learner traces the ideas behind American government, from Athenian democracy and the Roman republic, Magna Carta and the English Bill of Rights to colonial self-government and the writings of Locke, Montesquieu and…

  • Maya, Aztec and Inca

    The learner describes the Maya, Aztec and Inca states and the diversity of other Indigenous peoples of the Americas, including those of present-day Brazil, and their achievements.

  • Principles of the Constitution

    The learner explains the Preamble, the seven articles and the principles of the Constitution (popular sovereignty, limited government, rule of law, separation of powers, checks and balances, federalism, republicanism),…

  • US Foreign Policy

    The learner explains the goals of US foreign policy, who makes it, the tools the US uses (diplomacy, treaties, aid, trade and sanctions, alliances and military force) and how the US works in international organizations.

  • What Government Spends Money On

    The learner explains why governments provide some goods and services, how they raise money through taxes, and how a public budget is decided.

  • What Is Money

    The learner explains the functions and forms of money, how banks keep and move it, and compares cash, cards, transfers and mobile payments.

  • Vaccination and Disease Prevention

    The learner applies hygiene, sun safety, vaccination and screening to prevent illness, and knows how to use the local healthcare system.

  • Flowcharts and Pseudocode

    The learner expresses algorithms as flowcharts and structured pseudocode with sequence, selection and iteration, and traces them by hand.

  • First Programs in Python

    The learner writes, runs and fixes short text programs that use output, input, variables and arithmetic, and moves from blocks to text.

  • Computer Networks and the Internet

    The learner explains how data travels across networks in packets, what routers, servers and IP addresses do, and the difference between the internet and the web.

  • Online Security

    The learner recognises phishing, malware and weak passwords, uses multi-factor authentication and backups, and explains why updates matter.

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