Algebra I Course Map  |  Standards

Guide to School Quality Review (NYC)

NOTE: While we recognize that a large community of educators continues to access these materials and use them to support students success in secondary mathematics, New Visions is currently unable to revise and update the math curriculum materials on this site.

At New Visions for Public Schools, we believe that Illustrative Mathematics (IM) offers the most accessible, high-quality, vertically-aligned curriculum available for high school math. Since IM is also part of the Core Curriculum for NYC Public Schools, we are transitioning the focus of our math professional learning and coaching on the adoption and implementation of IM. For more information go to Using IM Algebra 1.


Algebra I has two key ideas that are threads throughout the course. The first idea is that we can construct representations of relationships between two sets of quantities and that these representations, which we call functions, have common traits. The second idea is that we can use these relationships between the quantities, which we call variables, to use our knowledge of the value of one variable to predict or determine explicitly the value of the other variable. In our formulation of the course, the first Big Idea is intended to inform students’ ability to use the second Big Idea.  

It should be noted that there is a critical important prerequisite idea, which is our abstraction from the idea of a specific set of quantities into a variable reference to these quantities. While this is an expected outcome of the middle school Common Core standards, this key idea is one that many high school students still do not completely understand.