In this Grade 6 lesson from Reveal Math Course 1, Module 1, students learn how to compare ratio relationships that are presented in different representations, including graphs and tables. They practice converting ratios to a common representation, such as plotting ordered pairs on a coordinate graph or generating equivalent ratios in a table, to determine which ratio is greatest. Real-world contexts like dog food protein content, pizza toppings, and smoothie recipes are used to build understanding of how the steepness of a graph or scaled table values reveal differences between ratios.
Section 1
Comparing Ratios Using Ratio Tables
To compare two ratios, and , create a ratio table for each.
Find equivalent ratios and such that one pair of corresponding terms is equal (e.g., ).
Then, compare the other pair of terms ( and ) to determine which ratio is greater.
Section 2
Comparing Ratios by Analyzing Line Steepness
When ratios are graphed as points and connected to form a line through the origin, the steepness of the line represents the unit rate.
A steeper line indicates a greater unit rate, while a less steep line indicates a smaller unit rate.
The steepness is measured by how much the -value increases for each 1-unit increase in the -value.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter
Expand to review the lesson summary and core properties.
Section 1
Comparing Ratios Using Ratio Tables
To compare two ratios, and , create a ratio table for each.
Find equivalent ratios and such that one pair of corresponding terms is equal (e.g., ).
Then, compare the other pair of terms ( and ) to determine which ratio is greater.
Section 2
Comparing Ratios by Analyzing Line Steepness
When ratios are graphed as points and connected to form a line through the origin, the steepness of the line represents the unit rate.
A steeper line indicates a greater unit rate, while a less steep line indicates a smaller unit rate.
The steepness is measured by how much the -value increases for each 1-unit increase in the -value.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter