Before jumping into functions, one should first look at relations (sets of ordered pairs) and patterns in order to gain and build the meaningful knowledge required when working with functions and their domains and ranges. This learning progression does just that. This learning progression will be applied in an Algebra I classroom where most students are in the 10th grade. This classroom has access to CORD’s Algebra 1: Learning in Context digital textbook.
The common core state standards aligned with this learning progression are HSF.IF.A.1 and HSF.IF.A.2. This learning progression is also aligned to the following mathematical practices: MP1- Make sense of problems and persevere in solving them, MP6- Attend to precision, and MP7- Look for and make use of structure.
This learning progression incorporates the mathematical best practice of using a variety of continuous assessments that are designed to not only measure student understanding but also teacher effectiveness. From these assessments, the teacher will be able to tell which lessons resonated with the students and which fell flat and need to be retaught. Using assessment in this way reinforces that assessment is more than just a way for teachers to grade students; it is an integral part of teaching.