In their final year, students at Stephen Decatur Middle School 35 are afforded the opportunity to take the Algebra I Regents Examination which makes them eligible for credit towards high schools graduation. During this time students continue to engage in the Mathematical Practices in order to gain a thourough understanding of the concepts they are learning. The units of study are as follows:
Unit 1: Foundations of Algebra
Students build on their prior knowledge of algebra through reinforcement of the following ideas:

Symbols are used to represent quantities that are unknown or that vary.

Mathematical phrases and realworld relationships can be represented using symbols and operations.

Numbers and operations comprise a system that share a set of common properties.
Unit 2: Solving Equations
Unit 3: Solving Inequalities
Unit 4: An Introduction to Functions
In units 24 students continue to build on their knowedge of algebra by emphasizing the following ideas:
 A solution is a value that makes a function rule true.

The relationship between the variables of a function can be represented visually by a graph.

Functions can be represented in multiple, equivalent ways.

Rate of change describes how one quantity changes with respect to another.

A function’s rate of change and initial value determine its other properties and behaviors.
Unit 5: Linear Functions
Unit 6: Systems of Linear Equations and Inequalities
Unit 7: Exponents and Exponential Functions
Students begin to deepen their knowledge of functions as they progress through units 57 by focusing on the following ideas:

Function rules describe the quantitative relationships between variables.

Linear functions are characterized by a constant rate of change.

Linear functions can be represented in multiple, equivalent ways.

Function families share similar graphs, behaviors, and properties.

Systems of equations (or inequalities) contain functions that share the same set of variables.

A solution simultaneously makes each function rule in a system of equations (or inequalities) true.

The solution to a system of equations (or inequalities) can be represented in multiple, equivalent ways.
Unit 8: Polynomials and Factoring
Unit 9: Quadratic Functions and Equations
Unit 10: Radical Expressions and Equations
Unit 11: Rational Expressions and Equations
Students further deepen their knowledge of functions in units 811 as they explore these ideas:
 Quadratic expressions can be written in multiple, equivalent ways.

Quadratic equations can be solved by rearranging the equation into an equivalent forms.

Quadratic functions are distinguished by a power of 2.

Equivalent representations of a function highlight different properties.

Functions within a family are transformations of the parent function.

Quadratic functions have 0, 1, or 2 real roots.

Quadratic functions can be represented in multiple, equivalent ways.
Unit 12: Data Analysis and Probability
Students end the year by focusing on these two essential ideas in unit 12: