Students compare quadratic, square root, or cube root functions in context and represent each in different ways (verbally with a description, as a table of values, algebraically, or graphically). In the final two lessons, students examine real-world problems of quadratic relationships presented as a data set, a graph, a written relationship, or an equation. They choose the most useful form for writing the function and apply the techniques learned throughout the module to analyze and solve a given problem (A-CED.A.2), including calculating and interpreting the rate of change for the function over an interval (F-IF.B.6).

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The fundamental purpose of this course is to formalize and extend the mathematics that students learned in the middle grades. Because it is built on the middle grades standards, this is a more ambitious version of Algebra I than has generally been offered. The modules deepen and extend understanding of linear and exponential relationships by contrasting them with each other and by applying linear models to data that exhibit a linear trend, and students engage in methods for analyzing, solving, and using quadratic functions. The Mathematical Practice Standards apply throughout each course and, together with the content standards, prescribe that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.

About Downloadable Resources

Algebra I Course Overview: provide guidance in developing curricular materials by combining information from the New York State Common Core Learning Standards, the PARCC Model Content Frameworks, NYSED standards clarifications, and the Progressions.

A Story of Functions Curriculum Map and Overview 9-12: provides teachers with a clear picture of the modules at each grade level from Grades 9 to 12.

CCLS Checklist for Algebra I: The CCLS Checklist for Alge

Module 4 - Polynomial and quadratic expressions, equations, and functions