5th Grade

Here are all the units that your child will be studying in math in their fifth grade year. Consult with your child's teacher to learn what unit your child is working on at any given time.


Unit 1: Whole Number Operations and Applications Volume, Multiplication, and Division

  • Volume is the amount of space inside a three-dimensional figure. The number of unit cubes that fit inside a figure determines its volume.

  • Students can use what they know about finding the area of rectangles as the first step in calculating the volume of rectangular prisms.

  • Students can use place value, area models, and other strategies to multiply multi-digit numbers and divide by two-digit divisors.

Unit 2: Decimals and Fractions Place Value, Addition, and Subtraction

  • Place value in decimals follows the same base-ten patterns as whole numbers. Knowing about place value will help students understand how many times more or less one decimal place is than another and will help them read, write, and round decimals.

  • Students can use what they know about patterns when multiplying by 10 to understand multiplying and dividing by powers of 10.

  • Knowing about adding and subtracting whole numbers will help students add and subtract decimals.

  • Students can use what they know about equivalent fractions to add and subtract fractions with unlike denominators.

Unit 3: More Decimals and Fractions Multiplication and Divison

  • Students can use what they know about multiplying whole numbers to help them multiply decimals and fractions.

  • Students can think of fractions as division expressions in which the numerator is divided by the denominator.

  • Reasoning about the size of the factors helps students reason about the size of a product: how does a factor greater or less than 1 affect a product?

  • Students can use relationships between multiplication and division to help them divide whole numbers by unit fractions and unit fractions by whole numbers.

Unit 4: Measurement, Data and Geometry Converting Units, Using Data, and Classifying Figures

  • Students can use division to convert from smaller to larger units of measurement within the same measurement system.

  • Students can use their understanding of operations on fractions to solve problems about data presented in line plots.

  • Students can classify two-dimensional figures into categories and subcategories based on their properties.

Unit 5: Algebraic Thinking and the Coordinate Plane Expressions, Graphing Points, Patterns and Relationships

  • Grouping symbols, such as braces, brackets, and parentheses, show the order in which parts of an expression should be evaluated. Knowing how to use grouping symbols and the order of operations will allow students to correctly evaluate, write, and interpret expressions.

  • The coordinate plane is a two-dimensional space formed by two perpendicular number lines. Knowing about the coordinate plane will help students graph and interpret points to solve real-world and mathematical problems.