NevadaNevada Algebra I Curriculum
Video lessons and practice for every Algebra I topic. Aligned to Nevada Academic Content Standards Math. Get help with equations, functions, and more.
Nevada Algebra I Curriculum | StudyPugHelp
ID | Standard | StudyPug Topic |
|---|---|---|
CC.HSA.CED.A.1 | Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. |
CC.HSA.CED.A.2 | Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. |
CC.HSA.CED.A.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. |
CC.HSA.CED.A.4 | Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. |
CC.HSA.REI.A.1 | Explain each step in solving a simple 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. |
CC.HSA.REI.B.3 | Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. |
CC.HSA.REI.C.5 | Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. |
CC.HSA.REI.C.6 | Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. |
CC.HSA.REI.D.10 | Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). |
CC.HSA.REI.D.11 | Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. |
CC.HSA.REI.D.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. |
CC.HSA.SSE.A.1 | Interpret expressions that represent a quantity in terms of its context. |
CC.HSA.SSE.A.2 | Use the structure of an expression to identify ways to rewrite it. |
CC.HSA.SSE.B.3 | Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. |
CC.HSA.APR.A.1 | Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. |
CC.HSA.APR.B.3 | Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. |
CC.HSN.RN.A.1 | Explain how the definition of the meaning of rational exponents follows from extending the properties of integer exponents to those values, allowing for a notation for radicals in terms of rational exponents. |
CC.HSN.RN.A.2 | Rewrite expressions involving radicals and rational exponents using the properties of exponents. |
CC.HSF.IF.A.1 | Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x). |
CC.HSF.IF.A.2 | Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context. |
CC.HSF.IF.B.4 | For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. |
CC.HSF.IF.B.5 | Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. |
CC.HSF.IF.B.6 | Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. |
CC.HSF.IF.C.7 | Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. |
CC.HSF.IF.C.9 | Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). |
CC.HSF.BF.A.1 | Write a function that describes a relationship between two quantities. |
CC.HSF.BF.A.2 | Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms. |
CC.HSF.BF.B.3 | Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. |
CC.HSF.LE.A.1 | Distinguish between situations that can be modeled with linear functions and with exponential functions. |
CC.HSF.LE.A.2 | Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table). |
CC.HSF.LE.A.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. |
CC.HSF.LE.B.5 | Interpret the parameters in a linear or exponential function in terms of a context. |
CC.HSA.REI.B.4 | Solve quadratic equations in one variable. |
CC.HSA.REI.C.7 | Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. |
CC.HSF.IF.C.8 | Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. |
CC.HSS.ID.A.1 | Represent data with plots on the real number line (dot plots, histograms, and box plots). |
CC.HSS.ID.A.2 | Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. |
CC.HSS.ID.A.3 | Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). |
CC.HSS.ID.B.6 | Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. |
CC.HSS.ID.C.7 | Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. |
Nevada Algebra I: What Students Learn
Algebra I is the gateway to all higher-level math in Nevada high schools. Aligned to the Nevada Academic Content Standards Math, this course builds essential skills that students carry into Geometry, Algebra II, and beyond. StudyPug covers every standard with clear video lessons and targeted practice problems.
Equations and Inequalities
Students learn to create and solve equations and inequalities in one variable, including those arising from linear, quadratic, rational, and exponential contexts. They also work with systems of linear equations — solving them exactly and approximately using graphs and algebra — and explore linear inequalities graphed as half-planes in two variables.
- Solving linear equations and inequalities in one variable
- Creating equations in two or more variables and graphing them
- Solving systems of two linear equations algebraically and graphically
- Graphing solution sets to systems of linear inequalities
Expressions and Polynomials
Algebra I students interpret and rewrite expressions, work with polynomial operations, and explore the connection between factored forms and zeros of functions. They also extend their understanding of exponents to include rational exponents and radical notation.
- Interpreting and rewriting algebraic expressions
- Adding, subtracting, and multiplying polynomials
- Identifying zeros of polynomials through factoring
- Rewriting expressions with rational exponents and radicals
Functions
A major focus of Algebra I is understanding functions — what they are, how to represent them, and how to use them to model real-world situations. Students work with linear, exponential, and quadratic functions, analyzing key features from graphs, tables, and equations.
- Understanding function notation and domain and range
- Interpreting key features of graphs and tables
- Calculating and interpreting average rate of change
- Graphing functions and identifying transformations
- Writing arithmetic and geometric sequences recursively and explicitly
Linear and Exponential Models
Students distinguish between linear and exponential growth, construct both types of functions from graphs and tables, and interpret parameters in real-world contexts. They also observe how exponential quantities eventually exceed linear or polynomial quantities.
- Constructing linear and exponential functions from data
- Interpreting slope and intercept in context
- Comparing linear and exponential growth using graphs and tables
Quadratic Functions and Equations
Algebra I introduces students to quadratic equations and their solutions, including factoring, completing the square, and the quadratic formula. Students also solve simple systems involving a linear and a quadratic equation.
- Solving quadratic equations in one variable
- Solving systems of linear and quadratic equations
- Revealing properties of functions through equivalent forms
Statistics and Data Analysis
Students represent and analyze data using dot plots, histograms, and box plots. They compare data sets using measures of center and spread, interpret scatter plots, fit linear models, and distinguish between correlation and causation.
- Representing data with dot plots, histograms, and box plots
- Comparing center and spread across data sets
- Interpreting scatter plots and linear models
- Computing and interpreting correlation coefficients
- Distinguishing correlation from causation
How StudyPug Helps Nevada Algebra I Students
StudyPug provides video lessons and practice problems for every Algebra I topic listed above. Each lesson aligns to the Nevada Academic Content Standards Math, so students always know what they are learning and why. Whether your student needs to catch up after missing class, prepare for an upcoming test, or get ahead before the school year starts, StudyPug is available on any device, anytime.