Variable relationships

Standard: 5.OA.B.3

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.

Learning Outcomes

Understand variable relationships: Recognize the relationship between two variables using equations.
Interpret equations: Explain how the variables in an equation relate to each other.
Form ordered pairs: Create ordered pairs from the values of two related variables.
Graph ordered pairs: Plot ordered pairs on a coordinate plane to visually represent the relationship between the two variables.

Download Variable relationships

Click the button below to get instant access to these premium worksheets for use in the classroom or at a home.

Variables and Relationships

In Grade 5, students learn patterns and relationships in mathematics. This involves generating numerical patterns based on specific rules, identifying relationships between the patterns, and representing them as ordered pairs on a coordinate plane.

Definition

Numerical Pattern: A sequence of numbers that follows a specific rule or formula.
Ordered Pair: A pair of numbers written in the form (x, y), representing coordinates on a graph where x is the value from the first pattern and y is the value from the second pattern.

Generating Patterns

To generate patterns, you start with a rule that tells you how to create the next number in the sequence.

Why It Matters

Analyzing patterns helps students understand relationships in math and real-life situations. It develops critical thinking and problem-solving skills, which are important for more advanced math concepts.

Let’s practice together by creating our own numerical patterns!