Mathematics

Mathematics — Grade 5

American Curriculum · Ages 10-11

Grade 5 pushes fractions to full fluency: adding and subtracting fractions with unlike denominators, and multiplying and dividing fractions. Decimal operations extend to all four operations, and the order of operations is formalized.

Geometry introduces the coordinate plane, and volume is calculated for the first time as a measurable attribute of solid figures — connecting multiplication directly to three-dimensional space.

Key topics covered

• Fraction Operations — Adding, subtracting, multiplying and dividing fractions with unlike denominators.
• Decimal Operations — All four operations with decimals to the hundredths.
• Order of Operations — Formal introduction to evaluating expressions correctly.
• Volume — Calculating volume of rectangular prisms.
• Coordinate Plane — Plotting points in the first quadrant.