What makes Algebra I challenging for students?

Algebra I introduces abstract thinking with variables and symbolic manipulation, requiring students to transition from concrete arithmetic to abstract algebraic reasoning and proof construction.

How is Algebra I assessed in New York?

Students take the Regents Examination in Algebra I, which tests problem-solving skills, algebraic manipulation, graphing abilities, and real-world application knowledge.

What career paths benefit from strong Algebra I skills?

Engineering, computer science, finance, data analysis, and scientific research all require strong algebraic foundations for advanced mathematical applications.

What are the key learning outcomes for Algebra I?

Students master polynomial operations, solve linear and quadratic equations, understand functions and graphs, and apply algebraic concepts to real-world situations.

How does Algebra I prepare students for advanced math courses?

Algebra I builds essential skills in mathematical reasoning, symbolic manipulation, and function analysis that are fundamental for Geometry, Algebra II, and higher mathematics.

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Algebra I Course - New York Curriculum

Master Algebra I with comprehensive courses content aligned to NYS Next Generation Mathematics Learning Standards. Build foundational algebraic skills through structured learning.

NY Algebra I Course Curriculum | Grade 9 Math StandardsHelp

ID

Standard

StudyPug Topic

NY.AI-N.RN.3

Use properties and operations to understand the different forms of rational and irrational numbers.

NY.AI-N.Q.1

Select quantities and use units as a way to: i) interpret and guide the solution of multi-step problems; ii) choose and interpret units consistently in formulas; and iii) choose and interpret the scale and the origin in graphs and data displays.

NY.AI-N.Q.3

Choose a level of accuracy appropriate to limitations on measurement and context when reporting quantities.

NY.AI-A.SSE.1

Interpret expressions that represent a quantity in terms of its context.

NY.AI-A.SSE.2

Recognize and use the structure of an expression to identify ways to rewrite it.

NY.AI-A.SSE.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

NY.AI-A.APR.1

Add, subtract, and multiply polynomials and recognize that the result of the operation is also a polynomial. This forms a system analogous to the integers.

NY.AI-A.APR.3

Identify zeros of polynomial functions when suitable factorizations are available.

NY.AI-A.CED.1

Create equations and inequalities in one variable to represent a real-world context.

NY.AI-A.CED.2

Create equations and linear inequalities in two variables to represent a real-world context.

NY.AI-A.CED.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

NY.AI-A.CED.4

Rewrite formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

NY.AI-A.REI.1a

Explain each step when solving a linear or quadratic equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

NY.AI-A.REI.3

Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

NY.AI-A.REI.4

Solve quadratic equations in one variable.

NY.AI-A.REI.6a

Solve systems of linear equations in two variables both algebraically and graphically.

NY.AI-A.REI.7a

Solve a system, with rational solutions, consisting of a linear equation and a quadratic equation (parabolas only) in two variables algebraically and graphically.

NY.AI-A.REI.10

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane.

NY.AI-A.REI.11

Given the equations y = f(x) and y = g(x): i) recognize that each x-coordinate of the intersection(s) is the solution to the equation f(x) = g(x); ii) find the solutions approximately using technology to graph the functions or make tables of values; and iii) interpret the solution in context.

NY.AI-A.REI.12

Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

NY.AI-F.IF.1

NY.AI-F.IF.2

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

NY.AI-F.IF.3

Recognize that a sequence is a function whose domain is a subset of the integers.

NY.AI-F.IF.4

For a function that models a relationship between two quantities: i) interpret key features of graphs and tables in terms of the quantities; and ii) sketch graphs showing key features given a verbal description of the relationship.

NY.AI-F.IF.5

Determine the domain of a function from its graph and, where applicable, identify the appropriate domain for a function in context.

NY.AI-F.IF.6

Calculate and interpret the average rate of change of a function over a specified interval.

NY.AI-F.IF.7

Graph functions and show key features of the graph by hand and by using technology where appropriate.

NY.AI-F.IF.8

Write a function in different but equivalent forms to reveal and explain different properties of the function.

NY.AI-F.IF.9

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

NY.AI-F.BF.1

Write a function that describes a relationship between two quantities.

NY.AI-F.BF.3a

NY.AI-F.LE.1

Distinguish between situations that can be modeled with linear functions and with exponential functions.

NY.AI-F.LE.2

Construct a linear or exponential function symbolically given: i) a graph; ii) a description of the relationship; iii) two input-output pairs (include reading these from a table).

NY.AI-F.LE.3

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

NY.AI-F.LE.5

Interpret the parameters in a linear or exponential function in terms of a context.

NY.AI-S.ID.1

Represent data with plots on the real number line (dot plots, histograms, and box plots).

NY.AI-S.ID.2

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (inter-quartile range, sample standard deviation) of two or more different data sets.