How to Calculate Original Price Given Sale Price and Discount

Math with Mr. J

This educational video provides a clear, step-by-step tutorial on how to calculate the original price of an item when given the sale price and the discount percentage. Using a digital chalkboard format, the narrator, Mr. J, demonstrates the mathematical logic behind determining original value, specifically focusing on the concept that the sale price represents a specific percentage of the total original cost (100% minus the discount percentage). The video walks viewers through setting up algebraic equations to solve for the unknown original price variable. The content focuses on key mathematical themes including percentages, decimal conversions, and one-step algebraic equations. It bridges the gap between abstract algebra and real-world financial literacy by applying variables to practical shopping scenarios. The video emphasizes the importance of understanding what the numbers represent—specifically that paying a discounted price means paying a remaining percentage of the whole—rather than just memorizing a formula. For educators, this video serves as an excellent instructional tool for middle school math units on ratios, proportional relationships, and expressions. It is particularly useful for addressing the common student misconception that one can simply calculate the discount percentage of the *sale* price and add it back to find the original. By visualizing the algebraic process, it supports students in mastering 6th and 7th-grade standards related to solving multi-step real-life problems with rational numbers.