Original Prompt7.PAFR.1.1
Apply proportional reasoning to solve problems in mathematical and real-world situations involving ratios and percentages.
Use a variety of situations, including, but not limited to, markups (percent increase), markdowns (percent decrease), tips, tax, coupons, discounts, commission, percent error, depreciation, and simple interest.
7.PAFR.1.2
Create a model with functions that address a proportional relationship in real-world situations.
Models should include tables, functions and the...
This resource covers key concepts related to proportional reasoning, focusing on understanding ratios, proportions, percentages, and the constant of proportionality. It begins with definitions and explanations of crucial terms such as ratio, proportion, percentage, and the equation representing a proportional relationship (y = kx). The document includes practice problems aiming to convert fractions to decimals and percentages, an example illustrating how to analyze proportional relationships through real-world scenarios (like the cost of bulk granola), and examples of markups, markdowns, and commissions. Additionally, it features exercises on calculating percent error and depreciation, modeling simple interest, and applying these concepts to various practical contexts. Throughout, there are sections that encourage reflection on understanding proportional relationships using different representations, including tables and graphs, ensuring a comprehensive approach to the topic.