Major Math Concepts

1. Number System. In fifth grade, students focus on adding, subtracting, multiplying, and dividing whole numbers, fractions, and decimals. Students will become fluent with computing these types of numbers and understanding the relationship between them. Students should also be able to use these numbers in real-world scenarios. Using models will greatly improve students' understanding of these concepts.

   For example: Use fraction bars to compute (adding, subtracting, multiplying, or dividing).

   

2. Ratios. Students will use their knowledge of fractions and decimals to reason ratio and rate problems. They will need to connect their understanding of multiplication and division with real-world problems using ratios. They will use models (diagrams, table, double number lines, etc.) to help them make these connections and solve unit rate problems. Students will also learn about percents and how they match up with fractions and decimals.
3. Expressions & Equations. Students start to distinguish the difference between an expression and an equation. They use variables to represent an unknown number in both expressions and equations. Fifth graders follow the appropriate order of operations to solve problems, including parentheses and exponents. They are beginning to read, interpret, and write expressions and equations, as well as solving one-variable equations.