Grade 5 Math Topics

Fifth Grade

In the first trimester of the school year, fifth grade students will work on the following skills:

  • Reviewing place value with numbers written as digits (numerals), words, and expanded forms (ex. 124, one hundred twenty-four, 100 + 20 + 4) up to 1,000,000
  • Working with place value of decimals to thousandths
  • Adding and subtracting decimals using the standard algorithm
  • Estimating in addition, subtraction, multiplication and division
  • Multiplication of whole numbers and decimals to the hundredths using the standard algorithm.  (this is the first year the standard algorithm is included in the standard for mastery)
  • Division of whole numbers and decimals to the hundredths.  Students use strategies based on place value, including area models as the standard algorithm for division does not have to be mastered until 6th grade.

You can help your child at home by having them practice these skills.  Students should know their basic math facts from memory by now or have efficient strategies that make problem solving easy.

Estimation is one topic that can easily be practiced outside of school.  Having children estimate by saying “about how much is…?” has students thinking about the reasonableness of their answers later.  Next time your child asks how long a car ride will be, give them an estimate and then track the exact time.  Talk about how you estimated the time and if it was reasonable.  Talk about why the estimate could have been miscalculated, say heavy traffic, or all green lights and no traffic.  These real world scenarios are amazing. 

For information on the area model used with division, you can view this video from Khan Academy about dividing a 3-digit number by a 1-digit number https://www.khanacademy.org/math/arithmetic/arith-review-multiply-divide/arith-review-div-pv-area/v/area-models-to-visualize-division-using-place-value or view this video with dividing by place value which is another strategy students will explore https://www.khanacademy.org/math/arithmetic/arith-review-multiply-divide/arith-review-div-pv-area/v/division-using-understanding-of-place-value. By extending this area model which carries over the use or arrays in 3rd and 4th grade, students have been successful at dividing larger numbers with accuracy, and having an in depth understanding of what division really means as well as it’s connection to multiplication. 

Here are some other resources:

Up Next: solving math expressions with multiple steps using the order of operations, and working with fractions