Our grade 4 math worksheets cover specific topics such as multi-digit addition and subtraction, multiplication and division facts and strategies, factors and multiples, fractions (including equivalence and simple operations), measurement and data interpretation (including time, weight, and volume), geometry (including angles, lines, and shapes), and basic algebraic thinking (such as solving for an unknown).

**Multi-Digit Operations**

Properties of Addition and Subtraction | Answer Key

Decimal Operations | Answer Key

Division Skills | Answer Key

Division Concepts

Missing Addend and Subtraction

Multiply 2-Digit and 1- Digit

Multiply 2-Digit and 3- Digit | Answer Key

Multiply in Parts

**Factors and Multiples**

Divisors = Factors

Factors and Multiples | Answer Key

Prime and Composite Numbers | Answer Key

**Fractions**

Adding Fractions and Mixed Numbers

Understanding Fractions | Answer Key

**Basic Algebraic Thinking**

4th Grade Word Problems | Answer Key

Advanced Problem-Solving Skills | Answer Key

Place Value (to Ten-Thousands) | Answer Key

Recognize and Extend Patterns and Sequences | Answer Key

**Measurement**

Converting Units of Length

Time Operations | Answer Key

**Data Interpretation**

Bar Graphs and Line Plots | Answer Key

Reading Measurements | Answer Key

**Geometry**

Angles and Shapes | Answer Key

Parallel and Perpendicular Lines

What Do Students Learn In 4th Grade Math?

In the United States, fourth grade marks a significant year for students in terms of their mathematical development. The curriculum is designed to build on what students have learned in previous years while introducing new and more complex concepts. The goal is to deepen their understanding of mathematics and develop critical thinking and problem-solving skills.

Fourth graders expand their understanding of the place value system, learning to recognize that in a multi-digit number, a digit in one place represents ten times what it represents in the place to its right. This understanding is crucial as they work with larger numbers. Students learn to perform multi-digit arithmetic operations, including addition, subtraction, multiplication, and division. Specifically, they practice adding and subtracting numbers up to one million, learning to use the standard algorithm for these operations, which involves carrying over (in addition) and borrowing (in subtraction). In multiplication, they work on multiplying multi-digit numbers, learning the partial products method and the standard algorithm for multiplication. They are introduced to long division, practicing dividing larger numbers by one-digit and eventually by two-digit numbers, learning to interpret remainders.

Fourth graders also learn about factors and multiples, identifying factors of numbers and understanding the concept of prime and composite numbers. They find multiples of given numbers and understand the least common multiple (LCM). Multiplicative comparisons are explored, with students solving problems that ask how many times larger or smaller one quantity is compared to another. They work with patterns and sequences, understanding how to extend them and finding rules that describe them.

Students deepen their understanding of fractions, moving beyond basic concepts to more complex operations. They learn to recognize and generate equivalent fractions, understanding why they are equivalent using visual models. Comparing fractions with different numerators and denominators by finding a common denominator or by comparing to a benchmark fraction like 1/2 is also a key focus. Additionally, students learn to add and subtract fractions with like denominators initially, and then move on to those with unlike denominators. They begin to understand how to multiply fractions by whole numbers.

In measurement, fourth graders learn to measure and estimate lengths, weights, and volumes using both the customary and metric systems. They learn to convert between different units within the same system, such as inches to feet and centimeters to meters. They work with units of time, solving problems involving the addition and subtraction of intervals of time. In data interpretation, they learn to represent and interpret data, creating and reading bar graphs, line plots, and pictographs. Understanding basic statistical concepts such as mean, median, mode, and range, and learning how to calculate them from a data set are also important skills developed at this stage.

Geometry is another key area of focus. Students learn about angles and their measurements, exploring concepts such as identifying acute, obtuse, and right angles, and using a protractor to measure and draw angles accurately. They study different shapes and their properties, identifying and classifying shapes based on their properties, such as the number of sides and angles. Understanding lines of symmetry in different shapes and calculating the perimeter and area of various shapes, particularly rectangles and squares, are also covered.

Problem-solving and mathematical practices are integral parts of the fourth-grade math curriculum. Students solve multi-step word problems that require them to apply various mathematical concepts, helping develop their critical thinking and problem-solving skills. They are encouraged to explain their reasoning and show their work, demonstrating an understanding of the processes involved in solving problems. Constructing viable arguments and critiquing the reasoning of others is also emphasized.

Teachers use differentiated instruction to meet the diverse needs of their students, including small group instruction and math centers where students can practice various skills independently or in small groups. Technology is often integrated into the curriculum through interactive whiteboards for demonstrating concepts and engaging students in interactive lessons, and educational software that provides practice and reinforcement of math skills, often adapting to the student’s individual level of understanding.

Assessment is an integral part of the fourth-grade math curriculum. Teachers use various forms of assessment to monitor student progress, including formative assessments like quick checks for understanding, exit tickets, quizzes, and in-class activities, as well as summative assessments like end-of-unit tests and standardized tests. Teachers also make real-world connections to help students see the relevance of what they are learning. For example, lessons might include topics like financial literacy, such as saving, spending, and making change, or measurement in daily life, like using recipes to practice measuring ingredients or planning a garden to understand area and perimeter.

Some students may struggle with specific concepts in fourth-grade math. Common challenges include understanding fractions, especially when it comes to comparing and operating with them, and solving word problems that require multiple steps and the application of various concepts. To support students who struggle, teachers might use strategies such as visual aids, like fraction bars or number lines, to help students understand abstract concepts, providing additional practice opportunities both in class and as homework, and offering one-on-one or small group tutoring sessions for students who need extra help.

Fourth-grade math in the United States covers a broad range of topics designed to build a strong foundation for future mathematical learning. Students develop their understanding of number and operations, particularly with multi-digit arithmetic and fractions. They also explore important concepts in geometry, measurement, and data interpretation. Through a combination of direct instruction, hands-on activities, technology integration, and real-world applications, fourth graders are equipped with the skills and knowledge they need to succeed in mathematics. Teachers play a crucial role in delivering this curriculum effectively, using a variety of instructional strategies to meet the diverse needs of their students. Continuous assessment and targeted support ensure that all students have the opportunity to achieve and progress. By the end of fourth grade, students are expected to have a deeper understanding of mathematics and be well-prepared for the challenges of fifth grade and beyond.