Cross Multiplication Charts

Worksheet Description

The worksheet is about using cross multiplication to find missing values in proportional relationships, which are represented in a table format. Each row contains a set of ratios that should be equivalent, and students are tasked with finding the unknown values of x and y that would maintain the proportionality. The first column presents the initial ratio, while the subsequent columns have one of the terms replaced with an unknown variable. There are five different sets of proportions for students to solve, each progressively increasing in complexity with more variables to find.

The goal of this worksheet is to teach students how to apply the concept of cross multiplication to solve for unknowns in direct proportions. By setting up equations based on the cross products of the ratios, students learn to find the values of variables that make the ratios equivalent. This exercise enhances their understanding of proportional reasoning and how to manipulate equations to isolate variables. Such skills are foundational for algebra and are applicable in various real-world situations where ratio and proportion are relevant, like scaling recipes, map reading, and converting units of measure.