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What does a student learn in ?

This is the year math stretches into bigger numbers and fractions students can actually reason about. Students work with numbers in the thousands, learn the long versions of multiplication and division, and start comparing fractions like 3/4 and 5/8 instead of just naming them. They also measure angles and read charts that show real information. By spring, they can multiply a two-digit number by a two-digit number on paper and explain why two fractions are equal.

  • Multi-digit multiplication
  • Long division
  • Fractions
  • Place value
  • Measuring angles
  • Word problems
Source: District of Columbia DC Academic Content Standards
Year at a glance
How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.
  1. 1

    Place value and big numbers

    Students read, write, and compare numbers up to a million. They round to a chosen place and use that skill to estimate sums and differences before solving the full problem.

  2. 2

    Multi-digit multiplication and division

    Students multiply larger numbers by one and two digits and divide with remainders. Word problems push them to decide which operation fits and to check whether the answer makes sense.

  3. 3

    Fractions and equivalence

    Students compare fractions, find equivalent ones, and add and subtract fractions with the same bottom number. They also start multiplying a fraction by a whole number using pictures and number lines.

  4. 4

    Decimals and measurement

    Students connect fractions like tenths and hundredths to decimals such as 0.7 and 0.25. They convert between units like meters and centimeters and solve problems about length, weight, time, and money.

  5. 5

    Shapes, angles, and data

    Students measure angles with a protractor, sort shapes by their sides and angles, and find lines of symmetry. They also read line plots that show measurements in fractions of an inch.

Mastery Learning Standards
The required skills a student should display by the end of Grade 4.
Standards for Mathematical Practice
  • Make Sense of Problems

    Students read a math problem carefully, figure out what it's actually asking, and keep trying even when the first approach doesn't work.

  • Reason Abstractly

    Students take a real situation (sharing pizza, counting coins) and turn it into numbers and symbols to solve it, then translate the answer back into plain language that fits the original problem.

  • Construct Arguments

    Students explain why their math answer is correct and listen to how classmates solved the same problem. They spot mistakes in someone else's reasoning and explain what went wrong.

  • Model with Mathematics

    Students use math to make sense of real situations, like figuring out how much something costs or how long a trip will take. They draw pictures, write equations, or build charts to show their thinking.

  • Use Tools Strategically

    Students choose the right tool for the math in front of them. That might mean reaching for a calculator, sketching it out on paper, or making a quick estimate to check whether an answer makes sense.

  • Attend to Precision

    Students use exact words, labels, and careful calculations when explaining their math work. That means writing the unit (inches, dollars, minutes) and choosing the right math term instead of a vague one.

  • Use Structure

    Students look for patterns and rules hiding inside a math problem, like noticing that all even numbers end the same way, then use that pattern to solve problems faster.

  • Express Regularity

    When something works the same way every time, students notice that pattern and use it as a shortcut. Spotting those shortcuts is the start of real mathematical thinking.

K-8 Mathematics Content
  • Counting and Number

    Grade 4 number work covers whole numbers, fractions, and basic rational numbers. Students read, compare, and reason about these numbers, building the foundation for multiplication, division, and fraction operations later in the year.

  • Operations and Algebraic Thinking

    Students use addition, subtraction, multiplication, and division to solve word problems and write number sentences that show how the pieces of a problem fit together.

  • Measurement and Data

    Reading a bar graph, a line plot, or a table and making sense of what the numbers say. Students also create their own graphs to show data they collect.

  • Students sort, describe, and measure flat shapes (like squares and triangles) and solid shapes (like cubes and cones). They use what they know about sides, angles, and faces to explain how shapes are alike or different.

  • Ratios and Proportional Relationships

    Students use ratio reasoning to solve everyday problems, like figuring out how many supplies are needed for a group or how two quantities compare. This is an introduction to that kind of proportional thinking at the fourth-grade level.

Assessments
The state tests students at this grade and subject take.
State Summative

DC CAPE: Mathematics (Grades 3-8)

DC's spring summative math test for grades 3 through 8, aligned to DC's Common Core-based math standards.

When given:
spring
Frequency:
annual
Official source
Alternate assessment

MSAA (Multi-State Alternate Assessment)

Alternate assessment for students with the most significant cognitive disabilities, given in grades 3-8 and high school in ELA, math, and science.

When given:
spring
Frequency:
annual
Official source
National Monitoring

NAEP (National Assessment of Educational Progress)

Federally administered sample-based assessment in reading, mathematics, science, and writing. NAEP results inform state-by-state comparisons rather than individual student or school accountability.

When given:
biennial in winter
Frequency:
every two years
Official source