4th Grade

Students investigate numbers, ways of representing numbers, relationships among numbers, and number systems.

Students perform mathematical operations and determine how they relate to one another

Students investigate patterns, functions, and quantitative relationships and apply that knowledge to modeling, analyzing, or solving mathematical and real-world problems.

Students use symbolic forms, operations, and properties to represent, model, solve, and analyze mathematical situations and structures.

Students explore properties, relationships, and transformations of shapes and space using coordinate geometry and other representational systems.

Students explore concepts and practical applications of units, geometrical constructions, and measurements of plane and geometric shapes and space.

Students demonstrate statistical thinking and apply statistical methods to collect, organize, analyze, display, and make inferences based on data.

Students use concepts of chance and probability to explain outcomes of real-life situations.

Recognize, categorize, compare, and round decimals using place value understanding

Multiply and divide decimals by a power of 10

Recognize and generate equivalent fractions, and compare two fractions with different numerators and different denominators

Become familiar with factors and multiples of whole numbers, and solve problems using the four operations with whole numbers

Perform multidigit arithmetic using place value understanding and properties of operations

Multiply a fraction by a whole number, using visual fraction models and equations

Add and subtract fractions using like denominators

Generate and analyze numerical and geometrical patterns

Explain how a change in one quantity (or variable) can produce a change in another quantity (or variable)

Discuss the concepts of angles and measure of angles, draw and identify lines and angles, and classify shapes by properties of their lines and angles

Classify shapes by properties of their lines and angles and identify and draw lines of symmetries

Measure or sketch angles in whole-number degrees using a protractor

Recognize area as an attribute of plane figures, and understand concepts of area measurement

Solve problems involving measurement and conversion of measurements within a single system of measurement, and from a larger unit to a smaller unit

Measure and estimate intervals of time, and relate them to appropriate events

Analyze outcomes of simple experiments using charts and tables, and make a line plot to display a data set of measurements in fractions of a unit

Represent in an organized way all possible outcomes for a simple probability situation