Fifth Grade Math Requirements

Number sense is an important aspect of fifth grade mathematics.

Fifth grade math requirements generally include competencies in several areas, like numbers and operations, algebra, geometry and measurement. While each state offers its own set of math standards for fifth grade, many follow the guidelines set by the National Council for Teachers of Mathematics. Public schools must adhere to state guidelines when instructing students, and students are usually tested at the end of the year in statewide exams.

Numbers and Operations

Standards for fifth grade mathematics include an understanding of the representation of numbers, relationships between numbers, number systems, meanings of operations and how they relate to each other and the ability to compute fluently. Fifth graders should be able to mentally compute basic number combinations like 30 x 40, be able to judge the reasonableness of their results, add and subtract common decimals and select appropriate tools to help them with their calculations.

Algebra

Algebra is the ability to understand patterns, relations and function, and is used to represent math situations with the use of mathematical models and structures. Fifth graders are usually beginning algebra students. By the end of fifth grade, students should be able to make generalizations about numeric and geometric patterns and describe the process. Students should also be able to analyze patterns and functions and understand how to represent those patterns though tables, words and graphs.

Geometry

Geometry is the study of two- and three- dimensional shapes. By the end of fifth grade, students are required to show that they can identify and compare two- and three- dimensional shapes and classify them. Students should also be able to show that they know what congruence and similarity are in geometric shapes. Students should know how to make a conjecture, test it, and develop a logical argument to justify conclusions.

Measurements

Measurement involves understanding how objects can be measured. For example, fifth grade students should learn to understand concepts like angle, length, weight, volume and area. They also need to understand the customary and metric systems, and should be able to use those systems to measure. In addition, students should know how to make simple unit conversions like meters to centimeters or feet to inches.

References

• NCTM: Number and Operations
• NCTM: Algebra
• NCTM: Geometry
• NCTM: Measurements