ArkansasArkansas Algebra I Curriculum
Video lessons and practice for every Algebra I topic. Aligned to Arkansas Mathematics Standards so Arkansas high school students can keep up or get ahead.
Arkansas 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. |
Arkansas Algebra I: What Students Learn
Algebra I is the gateway to all high school mathematics in Arkansas. Aligned to Arkansas Mathematics Standards, this course builds skills that appear on the ACT and future math courses like Geometry and Algebra II.
Equations and Inequalities
Students learn to create and solve equations and inequalities in one variable, including those arising from linear, quadratic, rational, and exponential functions. They also learn to rearrange formulas and justify each step in the solving process using properties of equality.
Systems of Equations and Inequalities
Arkansas Algebra I students solve systems of linear equations exactly and approximately using graphs and substitution. They graph linear inequalities as half-planes and interpret solution sets in real-world modeling contexts.
Functions and Their Graphs
Students develop a deep understanding of functions — including domain, range, function notation, and key features of graphs. They compare linear and exponential functions, write arithmetic and geometric sequences, and interpret rate of change from tables and graphs.
- Graph linear and exponential functions by hand and with technology
- Identify key features: intercepts, slope, end behavior
- Write functions to model real-world relationships
- Apply transformations: f(x) + k, f(x + k), and more
Polynomials and Expressions
Students add, subtract, and multiply polynomials and use the structure of expressions to rewrite and factor them. They identify zeros of polynomials and use them to sketch rough graphs of polynomial functions.
Quadratic Equations
Solving quadratic equations in one variable is a major focus of Arkansas Algebra I. Students use factoring, completing the square, and the quadratic formula. They also solve systems consisting of one linear and one quadratic equation both algebraically and graphically.
Exponential Functions and Sequences
Students distinguish linear from exponential growth, construct exponential functions from tables and graphs, and interpret parameters in context. They observe that exponential growth eventually exceeds polynomial growth using graphs and tables.
Statistics and Data Analysis
The course closes with data analysis: dot plots, histograms, box plots, scatter plots, and linear models. Students interpret slope and intercept in context, compute correlation coefficients using technology, and understand the difference between correlation and causation.
StudyPug covers every one of these Arkansas Algebra I topics with video lessons and practice problems. Whether your student needs help with tonight's homework or wants to get ahead before a test, StudyPug is ready.