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What a 5th grader should know by the end of the year

Fifth grade is the last year of elementary school in many districts. Readers quote the text to support what they say and compare several sources. In math, children multiply with the standard algorithm, divide by two-digit numbers, and add, subtract and multiply fractions and decimals.

Checked October 29, 2026 against the sources listed at the end.

The big goal of 5th grade

Math: fluent multi-digit multiplication with the standard algorithm, adding and subtracting fractions with unlike denominators, and decimals to the thousandths. Reading and writing: quoting accurately from a text and drawing on several sources to explain or argue.

Reading and writing

  • Quotes accurately from a text to explain what it says and what can be inferred.
  • Finds the theme of a story or poem, summarizes it, and compares two characters, settings or events.
  • Finds two or more main ideas in an information text and explains how people, events or ideas connect.
  • Compares several accounts of the same event or topic, and pulls information from several sources together.
  • Understands similes, metaphors, idioms and proverbs.
  • Writes opinion pieces, reports and stories; does research from several sources; types at least two pages in a sitting by the end of the year.

Math

  • Multiplies multi-digit whole numbers quickly using the standard algorithm.
  • Divides up to four-digit numbers by two-digit numbers, using place-value strategies.
  • Reads, writes, compares and rounds decimals to thousandths, and adds, subtracts, multiplies and divides decimals to hundredths.
  • Adds and subtracts fractions with unlike denominators, including mixed numbers, by finding equivalent fractions.
  • Multiplies fractions, divides unit fractions by whole numbers (and whole numbers by unit fractions), and sees a fraction as division (3/4 = 3 ÷ 4).
  • Finds volume with cubes and the formula length × width × height, uses parentheses in expressions, and graphs points on a coordinate grid.

Science

  • Matter: particles too small to see, conserving weight when things mix or change, and identifying materials by their properties.
  • Matter and energy in living things: plants get what they need from air and water, and energy moves through food webs.
  • Earth's systems: how land, water, air and living things interact, and the amount of fresh and salt water.
  • Stars and the solar system: gravity, the sun's brightness, and patterns of shadows, day and night, and which stars appear in each season.

Social studies

  • Many fifth-grade classes study early United States history, often through the founding of the nation and the Constitution.
  • How the US government is organized, and citizens' rights and responsibilities.
  • US geography: states, capitals, regions and landforms.
  • Economics: trade, markets, and how people and places depend on each other.

How to help at home

  • If fractions are shaky, go back to pictures: fraction strips show why you need the same denominator before adding.
  • Check that the standard algorithm for multiplication makes sense to your child, not just the steps.
  • Use decimals in real life: prices, receipts, measuring in centimeters and millimeters.
  • When your child gives an opinion about a book, ask for a quote that supports it.
  • Encourage reading two sources on one topic, and ask what each one adds.

Questions to ask the teacher

  • Is my child ready for middle-school reading and math? What would you work on this year?
  • How confident is my child with fractions and decimals?
  • How is my child doing with longer writing and research?
  • Are there study or organization habits we should build before middle school?

Teachers see your child every day and know what the class is working on this month. Ask first, then practice what they suggest; the two of you pulling the same way is worth more than any workbook.

Where this list comes from

Reading, writing and math come from the Common Core State Standards for 5th grade, put in plain words; we summarize, so read the standards themselves for the exact wording. Science follows the topic list of the Next Generation Science Standards. Social studies has no national standard, so that part describes what many schools teach in 5th grade.

Your state sets what is taught, and states differ. Many use the Common Core State Standards for reading and math, or standards written from them; others wrote their own. Your state's education department posts its standards, and your child's teacher can tell you exactly what the class covers and when.

Questions parents ask

What math should a fifth grader know before middle school?

The big ones are fluent multiplication with the standard algorithm, division with two-digit divisors, and adding, subtracting and multiplying fractions and decimals. Sixth grade builds ratios and early algebra on top of them.

My fifth grader still counts on their fingers for facts. Is that a problem?

Fifth-grade work goes much faster when facts are automatic, so a few minutes of fact practice a day is worth it. Mention it to the teacher; they may already have a plan.

Practice at your child's level

Peabody, our site for children, has free stories and learning games written at each reading level and math grade, with no sign-up. Start where your child is comfortable, not where the calendar says.

Where this comes from

Written for parents, to use alongside your child's teacher, not instead of them. General information only, not professional, medical or legal advice. Checked on October 29, 2026. Something wrong or out of date? Write to hello@peabody.kids.