WashingtonWashington Algebra 1 Curriculum
Video lessons and practice for every Algebra 1 topic. Aligned to Washington State K-12 Mathematics Standards so students can keep up with class or get ahead.
Washington Algebra 1 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. |
Washington Algebra 1 Topics and Standards
Washington Algebra 1 covers a wide range of skills that students need for success in high school math and beyond. Every topic on StudyPug maps directly to the Washington State K-12 Mathematics Standards, so students and parents can trust the content matches what is being taught in Washington classrooms.
Equations and Inequalities
Students learn to create and solve equations and inequalities in one variable, including those arising from linear and exponential functions. Topics include solving linear equations with letter coefficients, rearranging formulas, and justifying each step in a solution. StudyPug video lessons walk through every step clearly so students understand not just the answer but the reasoning behind it.
- Solving linear equations and inequalities in one variable
- Creating equations in two or more variables and graphing them
- Representing constraints with systems of equations and inequalities
- Rearranging formulas to highlight a quantity of interest
Systems of Equations and Inequalities
Algebra 1 students in Washington learn to solve systems of linear equations exactly and approximately, including by graphing. They also explore why replacing one equation in a system with a sum of equations produces an equivalent system. These skills are foundational for advanced math courses.
- Solving systems of linear equations graphically and algebraically
- Graphing solution sets of linear inequalities as half-planes
- Solving a system of one linear and one quadratic equation
Expressions and Polynomials
Students interpret, rewrite, and manipulate algebraic expressions. This includes working with polynomials under addition, subtraction, and multiplication, and understanding rational exponents and radical expressions.
- Interpreting parts of an expression in context
- Using structure to rewrite expressions in equivalent forms
- Adding, subtracting, and multiplying polynomials
- Rewriting expressions with radicals using rational exponent properties
Functions
A major focus of Algebra 1 is understanding what a function is and how to work with functions. Washington students learn function notation, domain and range, average rate of change, and how to graph and compare functions represented in different ways.
- Understanding domain and range and the definition of a function
- Using and interpreting function notation
- Identifying key features of graphs and tables
- Calculating and interpreting average rate of change
- Graphing linear, quadratic, and exponential functions
- Comparing functions given in different representations
- Writing functions to describe relationships between quantities
- Identifying the effect of transformations on function graphs
Linear and Exponential Models
Students distinguish between situations that call for linear models and those that call for exponential models. They construct both types of functions from graphs, tables, and descriptions, and interpret parameters in context.
- Constructing linear and exponential functions from data
- Writing and using arithmetic and geometric sequences
- Comparing linear and exponential growth using graphs and tables
- Interpreting slope and intercept of a linear model in context
Quadratic Equations
Algebra 1 introduces solving quadratic equations in one variable and solving simple systems involving a quadratic and a linear equation. Students also learn to identify zeros of polynomials and use them to sketch graphs.
- Solving quadratic equations by factoring, completing the square, and the quadratic formula
- Identifying zeros of polynomials from factorizations
- Solving linear-quadratic systems algebraically and graphically
Statistics and Data Analysis
Students in Washington Algebra 1 learn to represent and interpret data sets, compare distributions, and analyze scatter plots. They explore correlation, linear models of data, and the important distinction between correlation and causation.
- Representing data with dot plots, histograms, and box plots
- Comparing center and spread of data sets
- Interpreting scatter plots and describing relationships
- Interpreting slope and intercept of a linear fit
- Computing and interpreting the correlation coefficient
- Distinguishing between correlation and causation
How StudyPug Supports Washington Algebra 1 Students
StudyPug provides video lessons and practice problems for every Algebra 1 topic listed above. Each lesson is short — most run between 5 and 15 minutes — so students can fit studying into a busy schedule. Students can get started free and explore lessons before subscribing. Whether your child needs help with tonight's homework or wants to prepare for an upcoming test, StudyPug makes it easy to find exactly the right lesson fast.