Two-Step Equations 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 set up and solve two-step equations.” 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).
Two-Step Equations Notes: Two Step Equations Explore Narrative This lesson builds on what students have previously learned regarding one-step equations. Students will take what they learn one step further by having to perform two inverse operations. As students begin to solve problems, they will recognize the repeated reasoning (mathematical practice 7/8) that occurs with each problem - they are really all the same! Students will be asked to persevere with problems (mathematical practice 1) and pay close attention to those steps and signs (mathematical practice 6). This lesson also goes right into the application of two step equations (mathematical practices 2/4) - students will apply equations to area and perimeter, and set up and solve equations for real world problems. The biggest problem I run into with this lesson is students using the wrong sign when performing inverse operations - for example if you have 2x - 5, students will want to subtract 5. I tell struggling students to circle their terms, which include the sign right in front of them. That usually helps with the sign issue! Two-Step Equations Practice
Instructional Strategy - Table Discussion: To summarize this lesson, I am going to ask that students have a table discussion considering the question – How does the order in which you solve two-step equations compare to the order of operations? The purpose of this activity is for students to relate solving equations to the concept of “undoing.” Since they are “undoing” it would make sense for them to apply the order of operations backward – I want the students to make this realization.