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10th grade homeschool curriculum

A full curriculum, starting at your child's level, with lessons connected to their interests and progress you can see.

By , founder of TheHomeschoolingCompany. Reviewed .

See the work in 10th grade

Geometry helps designers turn a drawing into a prediction about movement, space, and material.

Lesson
The Shortest Path Through a Crowded Room
Goal
Use scale, area, perimeter, and transformations to compare two spatial designs under real constraints.
Project
Redesign a pop-up reading room
geometry lesson "The Shortest Path Through a Crowded Room": the lesson opening, its goal, and its project

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Parent Dashboard: today's lessons by subject, then the grades, progress, and records that need you

10th grade scope and sequence

Math13 units · 58 skills
Geometry: logic and proof6 skills
  • Write a conditional statement and converse
  • Use definitions in a geometric proof
  • Apply properties of equality in a proof
  • Prove a line-angle relationship
  • Explain why a diagram alone is insufficient
  • Organize a two-column or paragraph proof
Transformations and congruence5 skills
  • Use rigid motions to prove congruence
  • Apply triangle congruence criteria
  • Prove corresponding parts after congruent triangles
  • Construct a congruent triangle from given data
  • Explain a congruence proof in words
Similarity and dilations5 skills
  • Use dilations to prove similarity
  • Apply triangle similarity criteria
  • Find missing side lengths in similar figures
  • Prove slope criteria for parallel lines
  • Use similarity in an indirect measurement problem
Right triangles and trigonometry4 skills
  • Use the Pythagorean theorem in coordinate geometry
  • Apply sine, cosine, and tangent ratios
  • Solve a right-triangle modeling problem
  • Use special right-triangle relationships
Circle theorems5 skills
  • Find arc measures from central angles
  • Use inscribed angle relationships
  • Apply tangent and secant relationships
  • Write the equation of a circle
  • Solve a circle proof problem
Coordinate geometry4 skills
  • Find distance and midpoint from coordinates
  • Use slope to prove parallel or perpendicular lines
  • Partition a segment by ratio
  • Use coordinates to prove a quadrilateral property
Area, volume, and density4 skills
  • Find area of composite figures
  • Find volume of prisms, cylinders, pyramids, cones, and spheres
  • Compare surface area and volume under scaling
  • Solve a density or packing problem
Constructions and loci4 skills
  • Construct a perpendicular bisector
  • Construct an angle bisector
  • Construct parallel and perpendicular lines
  • Describe a locus of points from constraints
Geometric modeling4 skills
  • Choose a geometric model for a physical object
  • Estimate measurement error in a geometric calculation
  • Use scale drawings in design
  • Defend a modeling assumption
Probability with geometry4 skills
  • Find geometric probability from area
  • Use a two-way table with a spatial context
  • Compare independent and dependent events in a model
  • Explain probability limits in a diagram
Mathematical reasoning4 skills
  • Write a proof plan before solving
  • Identify an unstated geometric assumption
  • Compare algebraic and geometric solutions
  • Revise a proof after a counterexample
AP exam readiness4 skills
  • Solve a Geometry mixed proof item with diagram and coordinate evidence
  • Choose the best method for a timed congruence, similarity, or circle item
  • Explain why a Geometry distractor answer fails
  • Write a concise justification for a grade 10 proof or measurement item
Math capstone5 skills
  • Prove a geometric claim using transformations
  • Solve a trigonometry design problem
  • Use coordinate geometry in a proof
  • Evaluate measurement error in a model
  • Present a complete Geometry argument
Reading6 units · 47 skills
Literary reading8 skills
  • Identify theme from repeated details
  • Explain character motivation
  • Analyze how setting shapes conflict
  • Interpret figurative language in context
  • Compare narrator perspective
  • Analyze symbolism
  • Trace conflict development
  • Compare character arcs
Informational reading9 skills
  • Identify central idea
  • Trace an author's claim
  • Distinguish evidence from commentary
  • Summarize a section objectively
  • Evaluate source credibility
  • Identify text structure
  • Evaluate evidence relevance
  • Analyze author's assumptions
  • Compare arguments across historical documents
Media and multimodal reading7 skills
  • Interpret a chart embedded in an article
  • Connect image evidence to a text claim
  • Evaluate a caption's relationship to an image
  • Compare video and print accounts of an event
  • Evaluate scale in an infographic
  • Interpret a timeline embedded in text
  • Compare headline and article evidence
Vocabulary8 skills
  • Use context clues for an unfamiliar word
  • Identify connotation
  • Distinguish denotation from connotation
  • Use word parts to infer meaning
  • Infer meaning from analogy
  • Use roots and affixes
  • Identify figurative versus literal meaning
  • Interpret domain-specific vocabulary
Evidence8 skills
  • Quote textual evidence accurately
  • Paraphrase evidence without changing meaning
  • Connect evidence to an inference
  • Compare evidence across two texts
  • Rank evidence by strength
  • Explain why evidence is relevant
  • Integrate evidence across genres
  • Combine evidence from literary and informational texts
Fluency and text complexity7 skills
  • Read grade-level prose with appropriate pacing
  • Use punctuation to guide oral phrasing
  • Identify sentence complexity in a passage
  • Use background knowledge to prepare for a difficult text
  • Use paragraph structure to plan reading pace
  • Identify unfamiliar syntax before rereading
  • Use repeated reading to improve accuracy
English language arts13 units · 59 skills
World literature5 skills
  • Analyze a translated literary text with cultural context
  • Compare themes across world literary traditions
  • Explain how narrative structure shapes meaning
  • Analyze symbol, motif, and irony in a complex text
  • Use evidence while avoiding cultural overgeneralization
Complex nonfiction5 skills
  • Analyze how an author develops a central idea
  • Evaluate evidence in history, science, or policy nonfiction
  • Compare two explanations of the same event
  • Identify assumptions and limitations in a nonfiction text
  • Summarize complex information without flattening nuance
Rhetoric in public texts5 skills
  • Analyze a public speech for audience and context
  • Explain how syntax and repetition create emphasis
  • Evaluate appeals to shared values
  • Compare persuasive strategies across two public texts
  • Write a rhetorical claim with precise evidence
Comparative literary analysis4 skills
  • Write a thesis comparing two texts
  • Organize comparison by idea rather than by text order
  • Integrate quotations from both texts
  • Explain meaningful similarity and difference
Policy and issue argument5 skills
  • Frame a public issue with stakes
  • Use evidence from credible and varied sources
  • Address counterargument and consequence
  • Revise a policy claim for specificity
  • Distinguish evidence from opinion in argument
Research paper foundations5 skills
  • Develop a research question with significance
  • Use source notes to build an outline
  • Integrate paraphrase and quotation with citation
  • Evaluate source bias and expertise
  • Write a focused literature-background section
Style and syntax5 skills
  • Use subordination to show relationships among ideas
  • Control shifts in verb tense and mood
  • Use punctuation to manage complex sentences
  • Revise for concision and emphasis
  • Imitate a sentence pattern for rhetorical effect
Seminar and presentation4 skills
  • Prepare seminar notes with open questions
  • Use evidence to extend another speaker's claim
  • Present research with clear visual design
  • Respond to challenges with source-based reasoning
Media argument analysis4 skills
  • Analyze documentary choices for perspective
  • Evaluate statistics in a media claim
  • Compare headline, image, and article evidence
  • Identify omission and framing in media
High school reading and writing readiness4 skills
  • Annotate a difficult passage for structure
  • Draft an analytical thesis quickly
  • Select evidence under timed conditions
  • Revise a response after reading new evidence
Independent reading and context4 skills
  • Track historical or cultural context while reading
  • Write a comparative reading log
  • Explain ambiguity in a passage
  • Develop a question for further reading
AP exam readiness4 skills
  • Analyze a world-literature or public-rhetoric passage under time limits
  • Plan a defensible thesis for a sophomore comparison or issue prompt
  • Select textual evidence that best supports a grade 10 line of reasoning
  • Revise a sophomore short response for clarity, precision, and evidence use
ELA capstone5 skills
  • Write a comparative literary essay
  • Write a research-backed public issue argument
  • Present a seminar claim with evidence
  • Revise style for mature academic voice
  • Defend a Grade 10 ELA portfolio
Science13 units · 58 skills
Atomic structure and periodic trends6 skills
  • Identify protons, neutrons, and electrons by charge and location
  • Use atomic number and mass number to infer particles
  • Explain isotopes and average atomic mass
  • Use periodic trends to compare atoms
  • Connect electron arrangement to chemical behavior
  • Interpret evidence from atomic models over time
Chemical bonding and structure5 skills
  • Compare ionic, covalent, and metallic bonding
  • Draw Lewis structures for simple molecules
  • Predict molecular polarity from bond and shape evidence
  • Relate structure to melting point or conductivity
  • Explain intermolecular forces in a substance property
Reactions and stoichiometry5 skills
  • Balance a chemical equation
  • Classify common reaction types
  • Use mole ratios in a stoichiometry calculation
  • Identify limiting reactant in a simple case
  • Connect conservation of mass to reaction calculations
Thermochemistry4 skills
  • Distinguish endothermic and exothermic processes
  • Interpret an energy diagram
  • Calculate heat transfer using temperature change
  • Explain bond energy in reaction energy change
Solutions, acids, and bases5 skills
  • Calculate solution concentration from amount and volume
  • Explain dissolving with particle interactions
  • Interpret pH as a logarithmic scale
  • Compare strong and weak acid behavior
  • Predict precipitation from ion evidence
Reaction rates and equilibrium4 skills
  • Explain collision theory with temperature and concentration
  • Interpret a reaction-rate graph
  • Predict an equilibrium shift with Le Chatelier's principle
  • Distinguish rate from equilibrium position
Gases and kinetic theory4 skills
  • Use gas laws to relate pressure, volume, and temperature
  • Explain gas behavior using particle motion
  • Interpret real data from a gas experiment
  • Identify limits of ideal gas assumptions
Quantitative chemistry lab4 skills
  • Measure mass and volume with significant figures
  • Calculate percent yield
  • Use calibration or controls in a lab procedure
  • Analyze error sources in a chemistry lab
Chemistry data and models4 skills
  • Graph reaction data to support a claim
  • Compare particle models with macroscopic evidence
  • Use dimensional analysis in a chemistry problem
  • Evaluate uncertainty in measured chemical data
Chemistry in materials and environment4 skills
  • Explain polymers through monomers and properties
  • Analyze water quality with chemical indicators
  • Compare fuel chemistry and emissions evidence
  • Evaluate a materials choice by property and impact
Chemical engineering design4 skills
  • Define criteria for a chemical process design
  • Optimize reaction or separation conditions
  • Test a material against performance constraints
  • Revise a process using data
AP exam readiness4 skills
  • Analyze a Chemistry-style experimental stimulus with quantities and controls
  • Interpret an atomic, reaction, solution, or equilibrium data table under time limits
  • Choose evidence that supports or weakens a chemical explanation
  • Write a concise Chemistry claim-evidence-reasoning response
Science capstone5 skills
  • Use atomic and bonding models to explain a substance property
  • Solve a reaction calculation with units and assumptions
  • Defend an equilibrium or rate explanation
  • Analyze chemistry data with error limits
  • Present a Chemistry-level science argument
History12 units · 57 skills
Twentieth-century historical methods5 skills
  • Analyze propaganda, photograph, memoir, speech, statistic, and government document as different evidence types
  • Distinguish immediate cause, structural cause, ideology, contingency, and consequence in 20th-century history
  • Compare national, imperial, ideological, and civilian perspectives on the same event
  • Evaluate memory, commemoration, denial, and historiography as part of modern historical argument
  • Defend a Grade 10 historical claim about twentieth-century historical methods using conflicting evidence
Interwar crisis and fascism4 skills
  • Explain Weimar crisis, hyperinflation, depression, political violence, and Nazi rise to power
  • Compare fascism, communism, liberal democracy, and authoritarian nationalism in the interwar period
  • Analyze propaganda, scapegoating, paramilitary violence, and mass politics in authoritarian movements
  • Explain Japanese militarism, Italian fascism, and German Nazism as distinct but comparable movements
World War II global conflict6 skills
  • Explain World War II causes through treaty grievances, depression, ideology, appeasement, and empire
  • Analyze Blitzkrieg, Battle of Britain, Pearl Harbor, Stalingrad, D-Day, and island hopping as strategic turning points
  • Compare home fronts, rationing, propaganda, women's labor, colonial troops, and civilian bombing
  • Evaluate the atomic bomb decision through military, diplomatic, ethical, and civilian evidence
  • Defend a Grade 10 historical claim about world war ii global conflict using conflicting evidence
  • Compare total war strategies in Europe, North Africa, the Pacific, and the home fronts
Holocaust, genocide, and human rights5 skills
  • Analyze antisemitism, racial ideology, bureaucracy, ghettos, Einsatzgruppen, camps, and genocide escalation
  • Compare bystanders, collaborators, rescuers, resisters, victims, and perpetrators using careful evidence
  • Explain Armenian genocide memory, post-1945 genocide law, and later genocide warning signs
  • Evaluate Universal Declaration of Human Rights as response, aspiration, and contested political document
  • Use survivor testimony and perpetrator documents to explain Holocaust evidence and historical responsibility
Decolonization and new states6 skills
  • Explain Indian independence and Partition through nationalism, empire, religion, violence, and migration
  • Analyze African decolonization through Pan-Africanism, armed struggle, negotiation, borders, and resources
  • Compare Algeria, Ghana, Vietnam, Indonesia, and Kenya as different decolonization pathways
  • Evaluate postcolonial challenges through state-building, Cold War pressure, debt, ethnicity, and development
  • Defend a Grade 10 historical claim about decolonization and new states using conflicting evidence
  • Compare Indian, Algerian, Ghanaian, Vietnamese, and Kenyan decolonization paths
Cold War global system4 skills
  • Explain containment, deterrence, arms race, proxy wars, espionage, and ideological competition
  • Compare Berlin, Korea, Cuba, Vietnam, Afghanistan, and Latin America as Cold War flashpoints
  • Analyze nonalignment and Third World politics as active strategy rather than passive background
  • Evaluate Cold War culture, science, space race, and nuclear fear as historical evidence
Communist revolutions and reforms4 skills
  • Explain Chinese Revolution, Maoism, Great Leap Forward, Cultural Revolution, and reform-era change
  • Compare Soviet Stalinism, Khrushchev reform, stagnation, dissidence, and collapse
  • Analyze Cuba, Vietnam, and other revolutionary states through ideology, war, development, and repression
  • Evaluate revolutionary promises against social, economic, political, and human costs
Middle East and global conflict5 skills
  • Explain Ottoman collapse, mandates, nationalism, oil, Zionism, and Palestinian displacement
  • Analyze Arab-Israeli wars, Iranian Revolution, Gulf conflicts, and U.S./Soviet involvement
  • Compare secular nationalism, political Islam, monarchy, republic, and military rule
  • Use maps and source perspectives to avoid one-cause explanations of regional conflict
  • Defend a Grade 10 historical claim about middle east and global conflict using conflicting evidence
Globalization, environment, and technology4 skills
  • Analyze globalization through trade, finance, migration, supply chains, institutions, and inequality
  • Explain environmental history through climate change, energy, extraction, conservation, and justice
  • Compare digital revolution effects on communication, labor, politics, surveillance, and culture
  • Evaluate winners, losers, tradeoffs, and evidence limits in globalization claims
Contemporary democracy and authoritarianism5 skills
  • Compare post-Cold War democratization, authoritarian resilience, populism, and civil society
  • Analyze ethnic conflict, refugee crises, terrorism, counterterrorism, and state violence with precision
  • Explain European integration, China's rise, post-Soviet politics, and shifting global power
  • Evaluate present-day history using caution about incomplete evidence and live political stakes
  • Evaluate democratization and authoritarian durability using institutions, coercion, media, and civil society
AP exam readiness4 skills
  • Write a document sourcing note for a 20th-century political or social source
  • Build a contextualization paragraph for World War II, decolonization, or Cold War prompts
  • Group evidence for continuity and change across 1900-present world history
  • Draft a thesis that distinguishes ideology, state power, economy, and society
Modern world history II capstone5 skills
  • Defend a claim about whether ideology, empire, or technology most shaped the 20th century
  • Compare two decolonization movements using strategy, social base, empire response, and outcomes
  • Analyze genocide or human rights history through law, memory, state power, and evidence limits
  • Present a source-based argument about Cold War global effects beyond Europe and the United States
  • Defend a Grade 10 historical claim about modern world history ii capstone using conflicting evidence
See the core subjects and electives

FAQ

What happens when my child is stuck in a lesson?
Our Always-On Mentor is beside every reading and project your teen opens. It answers questions about any highlighted line of a geometry proof or a chemistry passage, and it offers help on its own when your teen seems stuck. In a reading check it will clarify a question but never give the answer away.
How much time does school take each day?
There is no fixed daily length. Each lesson shows its estimated time, and our Parent Dashboard adds up the day, so you can see the hours against your state's instruction-time rules.
What math should 10th graders take?
Usually Geometry or Algebra 2, depending on completed ninth-grade work. Plan through Algebra 2 for most college paths or pre-calculus/calculus for STEM; placement checks readiness.
What should I check before AP-aligned study or dual enrollment?
The prerequisites and workload of the course, and the credit policy of each college your teen may attend. Our advanced courses follow AP frameworks unit by unit, and every assignment is graded as soon as your teen submits it. Exam registration is separate; colleges decide whether exam scores or dual-enrollment courses earn credit.

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