Guzinta Math: Proportion Equations

Math lesson app for teaching y = kx. Video instruction, worked examples, guided practice, and instructor notes.

To download all of Grades 7-8 for Windows or Mac, see https://guzintamath.com/downloads/guzintamath6.html. For one-on-one or whole-class mathematics instruction, use this Guzinta Math lesson as a supplement for teaching sales tax, tips, markups, markdowns, and applying the proportion equation y = kx, along with the constant of proportionality--all key concepts in 7th grade. NEW 5.0 version contains a slicker look and an exploratory module which allows students to set up backwards problems for tips, taxes, markups, and markdowns. This lesson app also includes the popular Practice Meter feature, which can keep track of each student's practice level for this app across sessions. The purpose of the Practice Meter is to motivate students to come back and revisit this content and complete modules at regular intervals. Revisit the lesson app to keep your Practice Meter out of the red (or in the blue). It becomes easier over time to maintain your practice level above the key levels of 80 or 25, because the meter depletes much more slowly after a week, then a month, then 3 months, has passed. The lesson app also includes a NOTES feature: helpful tips for students, self-explanation questions, further information, and even suggestions for extension or family involvement--for every question and example! Guzinta Math: Proportion Equations focuses on representing proportional relationships using equations of the form y = kx. The relationships highlighted here involve sales tax, tips, markups, and markdowns, as well as geometric proportionality. Students identify the constant of proportionality as the tip percent or sales tax percent and set up and solve equations to determine total amounts. Students also use the Distributive Property to determine total amounts in the form total amount = sale amount times (1 + sales tax). Students also work with geometric proportions, used to represent scaling up and scaling down geometric figures. For one-on-one or whole-class mathematics instruction, use this Guzinta Math lesson as a supplement for teaching sales tax, tips, markups, markdowns, and the applying the proportion equation y = kx along with the constant of proportionality--all key concepts in 7th grade. The app includes detailed instructor notes for each guided practice problem, with notes about extending discussion around each worked example and problem. Instructors and/or students can turn on and use the new canvas feature (with improved writing functionality) in the app to write all over the screen--take notes, highlight key terms and ideas, show work, etc.