United States · Common Core State Standards
4th Grade Mathematics
This curriculum transitions students from basic arithmetic to complex multi digit operations and abstract algebraic thinking. It emphasizes the foundational structure of the base ten system and the application of mathematical modeling to real world scenarios.
Place Value and Multi-Digit Operations
Students explore the relationship between digits in different positions and master the standard algorithms for addition and subtraction.
Understanding that a digit in one place represents ten times what it represents in the place to its right.
Using place value understanding to round multi digit whole numbers to any place.
Fluently adding and subtracting multi digit whole numbers using the standard algorithm.
Multiplicative Thinking and Algebraic Patterns
Students move beyond repeated addition to understand multiplication as a comparison and identify numerical patterns.
Interpreting multiplication equations as comparisons rather than just groups of objects.
Finding factor pairs and understanding the properties of prime and composite numbers.
Generating and analyzing number or shape patterns that follow a given rule.
Fractions: Equivalence and Operations
Developing a deep understanding of fraction equivalence and beginning operations with fractions and mixed numbers.
Explaining why fractions are equivalent by using visual fraction models.
Understanding addition and subtraction of fractions as joining and separating parts referring to the same whole.
Expressing fractions with denominators of 10 or 100 as decimals.
Geometry, Angles, and Symmetry
Classifying geometric shapes based on properties of lines and angles.
Identifying and drawing points, lines, line segments, rays, and angles.
Grouping shapes based on the presence or absence of parallel or perpendicular lines.
Recognizing and drawing lines of symmetry for two dimensional figures.
Measurement and Data Modeling
Solving problems involving measurement and conversion from a larger unit to a smaller unit.
Knowing relative sizes of measurement units within one system of units.
Applying the area and perimeter formulas for rectangles in real world problems.
Making a line plot to display a data set of measurements in fractions of a unit.