Fifth Grade

Overview of Mathematics in Grade 5

In grade five, students will build their understanding of the place value system by working with decimals up to the thousandths place. Students will also add, subtract, and multiply and divide multi-digit whole numbers and fractions, including fractions with unlike denominators. They will continue to expand their geometry and measurement skills, learning the concept of volume and measuring the volume of a solid figure. Activities in these areas will include:

  • Quickly and accurately multiplying multi-digit whole numbers
  • Dividing numbers with up to four digits by two digit numbers
  • Using exponents to express powers of 10 (in 102, 2 is the exponent)
  • Reading, writing, and comparing decimals to the thousandths place
  • Adding, subtracting, multiplying, and dividing decimals to the hundredths place
  • Writing and interpreting mathematical expressions using symbols such as parentheses. For example, “add 8 and 7, then multiply by 2” can be written as 2×(8+7).
  • Adding and subtracting fractions with unlike denominators (bottom numbers) by converting them to fractions with matching denominators
  •  Multiplying fractions by whole numbers and other fractions
  • Dividing fractions by whole numbers and whole numbers by fractions
  • Analyzing and determining relationships between numerical patterns
  • Measuring volume using multiplication and addition

Sources:

Council of the Great City Schools "Parent Roadmap- Supporting Your Child in Grade Five, Mathematics" http://www.cgcs.org/cms/lib/DC00001581/Centricity/Domain/36/ParentGuide_Math_5.pdf

CT Core Standards - "Common Core State Standards 3-5 Domain Progressions" http://ctcorestandards.org/wp-content/uploads/2014/08/CCSS_math_3_5_Domain_Progressions.pdf

Common Core State Standards - "Grade 5" http://www.corestandards.org/Math/Content/5/introduction/