Which Table Represents a Proportional Relationship? | 7.RP.A.2 💚💙

In this Grade 7 math video, we dive into how to determine if a table represents a proportional relationship between two quantities — a key skill aligned with standard 7.RP.A.2.

Students will analyze four real-world relationship tables and determine which one shows a proportional relationship. We'll walk through:

✅ How to test for equivalent ratios
✅ How to identify the constant of proportionality (unit rate)
✅ How to graph data points to see if the relationship forms a straight line through the origin
✅ What it means when a graph passes through (0, 0) and (1, r)

We’ll also model how to represent proportional relationships using equations and discuss how to interpret points on a graph in context.

🔎 Perfect for students, teachers, and parents looking to master:
7.RP.A.2a – Deciding if two quantities are in a proportional relationship
7.RP.A.2b – Identifying the constant of proportionality
7.RP.A.2c – Representing proportional relationships with equations
7.RP.A.2d – Explaining graph points in context
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00:00 Introduction
00:12 The Question
00:35 Understanding the Problem
00:48 Determine Proportionality with Rates from a Table
02:34 Graphing to Determine Proportionality from a Table
04:34 Find a Constant Factor to Determine Proportionality
05:20 Simplifying Rates to Determine Proportionality
06:28 The Solution

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Ratios & Proportional Relationships

Analyze proportional relationships and use them to solve real-world and mathematical problems.

7.RP.A.2 Recognize and represent proportional relationships between quantities.
7.RP.A.2.a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
7.RP.A.2.b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
7.RP.A.2.c Represent proportional relationships by equations. For example, if total cost t is proportional to the number n of items purchased at a constant price p, the relationship between the total cost and the number of items can be expressed as t = pn.
7.RP.A.2.d Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.