# Exploring Numerical Relationships

Student View (Opens in new window) ## Instructor Overview

Students are asked whether they can determine the number of books in a stack by measuring the height of the stack, or the number of marbles in a collection of marbles by weighing the collection.

Students are asked to identify for which situations they can determine the number of books in a stack of books by measuring the height of the stack or the number of marbles in a collection of marbles by weighing the collection.

# Key Concepts

As students examine different numerical relationships, they come to understand that they can find the number of books or the number of marbles in situations in which the books are all the same thickness and the marbles are all the same weight. This “constant” is equal to the value $\frac{B}{A}$ for a ratio A : B; students begin to develop an intuitive understanding of proportional relationships.

# Goals and Learning Objectives

• Explore numerical relationships

SWD: Some students with disabilities will benefit from a preview of the goals in each lesson. Have students highlight the critical features or concepts to help them pay close attention to salient information.