Markup Percent Models - Percents Over 100?

Opener:  As students enter the room, they will immediately pick up and begin working on the opener – Instructional Strategy - Process for openers.  This method of working and going over the opener lends itself to allow students to construct viable arguments and critique the reasoning of others, which is mathematical practice 3. 

Learning Target:  After completion of the opener, I will address the day’s learning targets to the students.  For today’s lesson, the intended target is, “I can calculate a markup using a percent bar model.” Students will jot the learning target down in their agendas (our version of a student planner, there is a place to write the learning target for every day). 

Thoughts from Me! As a way to dive into percents and create a conceptual understanding, students will utilize a bar model (mathematical practice 5).  They will use the model to represent scenarios conceptually (mathematical practice 4) instead of just punching numbers. Students will also reason abstractly and quantitatively by analyzing what each model represents (mathematical practice 2).  Students will look for repeated reasoning to make connections within percents (mathematical practice 8).

Instructional Strategy - Table Discussion:  To summarize this lesson, I will have students have a table discussion on: How much would my total bill be if it is $20 before I leave a 10% tip?  The purpose of this table discussion is again to get students thinking about mental percents – and applying their thinking to real world situations.  Calculating a tip or tax is something that all kids will do in their life – and it is important that they know how.  I want students to think through the process of the bar model without having to use it.  I will have each table share out their thinking so that all tables can see how the problem can be solved.

Homework: After the table discussion, I will pass out a 5 question homework assignment for students to put all of their skills together.  The assignment mixes mark ups, mark downs, and percent of a number - a good way to check for understanding.