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Grade 5 Mathematics

In 5th grade math students will solve word problems using addition and subtraction of fractions. For example, find how many cups of sauce are needed to make three batches of pasta. Solve addition, subtraction, multiplication, and division problems with decimals. For example, divide the cost of a dinner among three people. Understand and solve problems involving volume. For example, find out which of two fish tanks would hold more water. Solve problems using the coordinate grid (graphs). For example, discuss a graph showing how temperature changes over the course of a year.

By The End of Fifth Grade, Students Can:

  • Use rules (like add 3) to make patterns of numbers (like 2, 5, 8, 11…). 
  • Write, explain, and compute math expressions: for example, explain that 2 x (8 + 7) is 30. 
  • Round decimal numbers to the nearest thousandth: for example, round 5.7936 to 5.794.
  • Fluently (quickly and correctly) multiply multi-digit numbers using the standard algorithm.
  • Divide numbers using various strategies (like the partial quotients method). 
  • Multiply fractions by other fractions and by whole numbers: for example, 2/3 x 4/5 or 4/5 x 8 Divide with whole numbers (like 7) and unit fractions (fractions with 1 on the top): for example, 4 ÷ 1/3 or 1/5 ÷ 4. 
  • Solve word problems using addition, subtraction, multiplication, and division of fractions and whole numbers. 
  • Solve multi-step word problems that include converting measurement units (like from grams to kilograms). 
  • Classify shapes in a hierarchy: for example, all rectangles are parallelograms, but not all parallelograms are rectangles.