# Grade 5 Math Operations and Algebraic Thinking

## 5th Grade Operations and Algebraic Thinking

In fifth grade, students learn about the following concepts related to operations and algebraic thinking:
1. Knowing what the equal sign (=) means and how to use it to show the relationship between two numbers.
2. Knowing that a variable can stand in for a number that isn’t known and using variables to stand in for numbers in math expressions and equations.
3. Figuring out what an expression means by replacing variables with known values.

4. Using the order of operations (PEMDAS) to figure out how to evaluate expressions in the correct order.
5. Using decimals to add, subtract, multiply, and divide.
6. Be able to divide whole numbers and understand what the quotient and remainder mean.
7. Using the properties of operations (like associative and commutative) to make math expressions easier to understand and change.
8. Know what absolute value is and how to use it.
9. Using the properties of equality to solve simple equations with one or two steps.
10. Making graphs of points on the coordinate plane and knowing how the coordinates of points relate to where they are on the plane.

CCSS.MATH.CONTENT.5.OA.A.1| Write and interpret numerical expressions.

Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Standards: 5.OA.A.1

Worksheets currently under development

CCSS.MATH.CONTENT.5.OA.A.2| Write and interpret numerical expressions.

Write simple expressions that record calculations with numbers and interpret numerical expressions without evaluating them.

Standards: 5.OA.A.2

CCSS.MATH.CONTENT.5.OA.B.3| Use the four operations with whole numbers to solve problems.

Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.

Standards: 5.OA.B.3