「靴下と靴」法で方程式を解く (初等代数と代数 I)

In this class, students will learn a method for solving multi-step equations called the "Backtracking Method" or the "Socks and Shoes" method. You can see an example of this method in the class image. This method is very helpful for students because it makes it very clear which steps to do and in what order. This method allows students to easily solve multi-step equations presented in many forms (the form px + q = r; the form p(x + q) = r; the form (x+q)/p=r; and the form q-px=r). I have taught this method to many students who were not previously able to solve equations, and were finally able to solve equations using this method!

The class will start with guided notes that review the Order of Operations, and the concept of Inverse Operations. Then students will fill out notes that introduce the Socks and Shoes Method. Students will practice this new method with the class and independently. The practice will include solving problems in all the forms listed above, as well as solving word problems. We will start with whole numbers and incorporate some fractions and decimals towards the end of class. The independent practice will be differentiated to meet each individual students needs. At the very end of class, the students will complete an Exit Ticket to show what they learned during the session.

Pre-Requisite: It is helpful if students have finished at least 6th Grade Math. Students should have some knowledge of Order of Operations and an understanding of what it means to solve an equation.