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4th Grade Math

Welcome to the Fourth Grade Math homepage! In fourth grade, students continue to extend foundational understandings from early elementary to build new ideas that will carry them into middle school. By fourth grade, most students will have a firm understanding of the base ten number system and this year, they will be asked to generalize their understanding to larger multi-digit numbers. Students will use place value to compare and round multi-digit numbers as well as to become fluent with the addition and subtraction algorithms. Students will also extend their knowledge of operations and place value to perform multi-digit multiplication and division. Students continue to delve into fractions and a huge emphasis will be placed on using models and equations to compare and order fractions as well as find equivalent fractions and explore improper fractions and mixed numbers. Finally, students explore the connection between decimals, fractions, and place value which will lay the conceptual understanding of decimals which will carry them into fifth grade and beyond. Across all units of study, fourth graders will continue to be challenged to think critically, make real-world connections, and apply problem-solving skills.

Getting Started

Please review the CityTutor DC Lesson Overview and terms of use before using CTDC lessons.

To support alignment with common DC curricula, please review the 4th Grade Pacing Guide.

4th Grade Math Unit Materials

Unit 1: Using Place Value to Round, Add, and Subtract Multi-Digit Numbers

In this unit, fourth graders build on their work with numbers to 1,000. Students explore bundling and unbundling groups of 10s, 100s, 1,000s to generalize about place value and our number system. Later, students will extend their understanding of rounding numbers to the nearest 10 or 100 to multi-digit numbers and apply this skill as a strategy to estimate sums and differences. Finally, students will master the addition and subtraction algorithms in multi-digit numbers.

Unit 2: Multiplying Multi-Digit Numbers

In this unit, fourth graders build fluency in multiplication facts up to 12×12 and learn diverse multiplication strategies, such as arrays and the distributive property. Progressing from single-digit multiplication, students master multi-digit multiplication using standard algorithms and visuals. They apply multiplication to real-world problem-solving, including finding area and solving word problems. Additionally, they understand the relationship between multiplication and division as they lay a solid foundation for future mathematical concepts.

Unit 3: Dividing Multi-Digit Numbers

In this unit, students continue to build fluency in division facts and learn division strategies, including arrays and repeated subtraction. Students progress from single-digit division to dividing two and three-digit numbers with one and two-digit divisors, using standard algorithms and visuals. Real-world problem-solving is integral, with students tackling word problems that involve division to find equal groups or remainders.

Unit 4: Exploring Fractions and Mixed Numbers

In this unit, fourth graders build on their work with fractions from third grade. Students will begin to explore how to add and subtract and convert fractions, even when the denominators differ. Mixed numbers, a mix of whole numbers and fractions, are also introduced, with students learning to fluently switch between them to help them solve problems. These lessons include practical applications to provide a strong foundation for working with fractions and mixed numbers in more complex math situations.

Unit 5: Foundations of Decimals

In this unit, fourth graders focus on building foundational skills for working with decimals. Students learn that decimals are a means to represent parts of a whole and grasp the connection between decimals and fractions. They engage in activities to compare and order decimals, while also acquiring the ability to add and subtract decimals, both within the same place value and across different place values. Additionally, fourth graders explore the intricacies of decimal place value, honing their proficiency in recognizing the significance of digits like tenths and hundredths.

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