Fifth Grade Math - 5th Grade Math Course of Study

These Are the Concepts Covered in 5th Grade Math

5th grade math lays the foundation for the study of algebra and geometry.
5th grade math lays the foundation for the study of algebra and geometry. Rob Lewine, Getty Images

The following list provides you with the basic math concepts that should be attained by the end of the 5th grade school year. Mastery of the concepts at the previous grade is assumed, plus students learn the foundations of algebra, geometry, and probability that will be built upon in later years.


  • Read print numbers to 100 000 and locate, compare, order, represent, estimate and identify numbers to 100 000 using regular and expanded forms
  • Full understanding of place value to the right and left of 0 - 4 places
  • Count by 3's, 4's, 6's, 7's, 8's, 9's, and 10's, 11's and 12's to 144
  • Multiplication facts are committed to memory up to the 12 X tables(Understand the division facts also)
  • Understand decimals to the thousandths 0.013 and be able to add and subtract decimals.
  • Demonstrate a solid understanding of fractions and their related decimals to 100dths.
  • Multiply and divide decimals
  • Communicate mathematical thinking in problem solving - selecting the appropriate strategies
  • Select the appropriate problem solving methods in word problems for the above operations


  • Complete understanding of inches, feet, yards, miles, millimeters, centimeters, meters, kilometers and apply these terms to problem solving activities
  • Measure accurately, and make appropriate estimations of which units of measure apply.
  • Construct or illustrate items using a variety of units of measure
  • Estimate and round accurately
  • Read and write dates using a variety of methods (Jan. 10, 2002, 02/10/02 etc.)
  • Money amounts to $1000.00 in making change and in problem solving
  • Investigate and solve measurement problems with circumference, perimeter, volume, capacity and area and explain the rules and apply the formulas


  • Identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures and problems
  • Full understanding of geometric properties and relationships
  • Classify triangles by side properties and types (obtuse, isosceles) etc.
  • Identify the 2-D nets that the solids are represented by and construct the nets
  • Measure and construct a variety of triangle and angles with the protractor
  • Explore and discover tiling patterns that cover a plane and tesselations
  • Understand the coordinate system on both maps and grids


  • Identify, create, analyze and extend patterns and describe the rules with more than one variable
  • Determine the values in equations when there are missing terms in the four operations and provide the rules
  • Determine the amount in missing values when given an equation that involve more than 1 operation
  • Demonstrate equivalence in equations with the 4 operations


  • Design surveys, collect the data and record it appropriate, be able to discuss the findings
  • Construct a variety of graphs and label them appropriately and state the difference between selecting one graph over another
  • Discuss the real world need for data and the collection of data
  • Read, analyze and interpret data in a variety of graphs etc.
  • Us tree diagrams to organize data, make decision on data gathered and sorted and record the results
  • Conduct probability experiments and apply logical reasoning to the outcomes
  • Predict probability based on background information

All Grades

Edited by Anne Marie Helmenstine, Ph.D.

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Your Citation
Russell, Deb. "Fifth Grade Math - 5th Grade Math Course of Study." ThoughtCo, Aug. 26, 2020, Russell, Deb. (2020, August 26). Fifth Grade Math - 5th Grade Math Course of Study. Retrieved from Russell, Deb. "Fifth Grade Math - 5th Grade Math Course of Study." ThoughtCo. (accessed March 22, 2023).