PencilGo

What to teach in each grade, K–12

The skills most schools cover in each grade, in plain words. Use it to plan the year or check for gaps. For kindergarten to 5th grade, each subject links to free PencilGo worksheets for that grade.

Pick a grade

This follows the usual order in US state standards. Your state may order things differently, and your child may be ahead in one subject and behind in another. That is normal. Teach where your child is.

Kindergarten

1st grade

2nd grade

3rd grade

4th grade

5th grade

6th grade

  • Math

    • Ratios and rates
    • Percents
    • Dividing fractions
    • Negative numbers
    • Expressions and one-step equations
    • Area, surface area and volume
    • Mean, median and range
  • Reading

    • Cite evidence from the text
    • Central idea
    • How word choice sets the tone
    • Novels, myths and nonfiction
  • Writing

    • Arguments with a claim and evidence
    • Research with sources listed
    • Narratives
  • Science

    • Often a mix of earth, life and physical science: weather, plate tectonics, cells, energy
  • Social studies

    • Ancient civilizations or world geography

7th grade

  • Math

    • Proportional relationships
    • Operations with negative numbers
    • Two-step equations and inequalities
    • Scale drawings
    • Circles
    • Probability
  • Reading

    • How story elements work together
    • Compare a book with its film or audio version
    • Analyze an author's argument
  • Writing

    • Arguments that answer the other side
    • Research reports
    • Narratives
  • Science

    • Often life science: cells, genetics, ecosystems, body systems
  • Social studies

    • The medieval and early modern world, or state history

8th grade

  • Math

    • Linear equations and functions
    • Systems of equations
    • Exponents and scientific notation
    • The Pythagorean theorem
    • Transformations
    • Some students take Algebra 1
  • Reading

    • Judge an argument and its evidence
    • How a modern work draws on older stories
    • Longer and harder texts
  • Writing

    • Formal essays
    • Research with sources cited
    • Narratives
  • Science

    • Often physical science: motion, forces, energy, early chemistry
  • Social studies

    • US history to the Civil War and Reconstruction
    • Civics

9th grade

  • Math

    • Algebra 1: linear, exponential and quadratic functions, systems, statistics
  • Reading

    • English 9: short stories, a novel, poetry and a Shakespeare play
  • Writing

    • Literary analysis
    • Argument essays
  • Science

    • Biology, or physical or earth science
  • Social studies

    • World history or geography; civics in some states

High school is usually counted in credits: about one credit for a full-year course. Colleges list the courses they expect, so check the ones your teen may apply to. Keep a record as you go with the transcript builder.

10th grade

  • Math

    • Geometry: proofs, similar figures, right-triangle trigonometry, circles, volume
  • Reading

    • English 10: world literature
  • Writing

    • A research paper
    • Argument and analysis
  • Science

    • Chemistry or biology
  • Social studies

    • World history

11th grade

  • Math

    • Algebra 2: polynomial, rational, exponential and logarithmic functions, sequences, trig functions
  • Reading

    • American literature
    • Reading arguments closely
  • Writing

    • Rhetorical analysis
    • College application essays
  • Science

    • Chemistry or physics
  • Social studies

    • US history

12th grade

  • Math

    • Precalculus, statistics, calculus, or personal finance
  • Reading

    • British or world literature
  • Writing

    • A senior research paper or project
  • Science

    • Physics, anatomy, environmental science, or an AP or dual-enrollment course
  • Social studies

    • Government and economics

Turn it into a plan

Pick a few skills for the week and write them into the weekly lesson planner. Some states name the subjects you must teach: see homeschool law by state.

Let PencilGo pick the next sheet

For kindergarten to 5th grade: print a sheet, your child works in pencil, and you scan it. PencilGo marks it and picks the next sheet at the right level. Free, about five minutes a day.

Create a free account

A general overview, not your state’s standards or legal requirements. Check what your state asks for.