IXL - Washington high school math standards

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Skills available for Washington high school math standards

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Standards document:

2010 Common Core State Standards 2010 Common Core State Standards
2008 Washington Learning Standards: Algebra 2008 Washington Learning Standards: Algebra
2008 Washington Learning Standards: Mathematics 1 2008 Washington Learning Standards: Mathematics 1
2008 Washington Learning Standards: Mathematics 2 2008 Washington Learning Standards: Mathematics 2

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A1.1 Solving Problems

A1.2 Numbers, expressions, and operations

A1.2.A Know the relationship between real numbers and the number line, and compare and order real numbers with and without the number line.
- Numbers: Compare and order rational numbers (Algebra - A.2)
- Numbers: Number lines (Algebra - A.4)
A1.2.B Recognize the multiple uses of variables, determine all possible values of variables that satisfy prescribed conditions, and evaluate algebraic expressions that involve variables.
A1.2.C Interpret and use integer exponents and square and cube roots, and apply the laws and properties of exponents to simplify and evaluate exponential expressions.
A1.2.D Determine whether approximations or exact values of real numbers are appropriate, depending on the context, and justify the selection.
A1.2.E Use algebraic properties to factor and combine like terms in polynomials.
A1.2.F Add, subtract, multiply, and divide polynomials.

A1.3 Characteristics and behaviors of functions

A1.3.A Determine whether a relationship is a function and identify the domain, range, roots, and independent and dependent variables.
A1.3.B Represent a function with a symbolic expression, as a graph, in a table, and using words, and make connections among these representations.
A1.3.C Evaluate f(x) at a (i.e., f(a)) and solve for x in the equation f(x) = b.
- Relations and functions: Evaluate function rules I (Algebra - Q.7)
- Relations and functions: Evaluate function rules II (Algebra - Q.8)

A1.4 Linear functions, equations, and inequalities

A1.4.A Write and solve linear equations and inequalities in one variable.
A1.4.B Write and graph an equation for a line given the slope and the y-intercept, the slope and a point on the line, or two points on the line, and translate between forms of linear equations.
A1.4.C Identify and interpret the slope and intercepts of a linear function, including equations for parallel and perpendicular lines.
A1.4.D Write and solve systems of two linear equations and inequalities in two variables.
A1.4.E Describe how changes in the parameters of linear functions and functions containing an absolute value of a linear expression affect their graphs and the relationships they represent.
- Absolute value functions: Complete a function table: absolute value functions (Algebra - DD.1)
- Absolute value functions: Domain and range of absolute value functions (Algebra - DD.2)

A1.5 Quadratic functions and equations

A1.5.A Represent a quadratic function with a symbolic expression, as a graph, in a table, and with a description, and make connections among the representations.
A1.5.B Sketch the graph of a quadratic function, describe the effects that changes in the parameters have on the graph, and interpret the x-intercepts as solutions to a quadratic equation.
- Functions: linear, quadratic, exponential: Identify linear, quadratic, and exponential functions from graphs (Algebra - CC.1)
A1.5.C Solve quadratic equations that can be factored as (ax + b)(cx + d) where a, b, c, and d are integers.
- Quadratic equations: Solve an equation using the zero product property (Algebra - BB.3)
- Quadratic equations: Solve a quadratic equation by factoring (Algebra - BB.4)
A1.5.D Solve quadratic equations that have real roots by completing the square and by using the quadratic formula.

A1.6 Data and distributions

A1.6.A Use and evaluate the accuracy of summary statistics to describe and compare data sets.
A1.6.B Make valid inferences and draw conclusions based on data.
A1.6.C Describe how linear transformations affect the center and spread of univariate data.
A1.6.D Find the equation of a linear function that best fits bivariate data that are linearly related, interpret the slope and y-intercept of the line, and use the equation to make predictions.
- Charts and graphs: Scatter plots: line of best fit (Algebra - N.7)
A1.6.E Describe the correlation of data in scatterplots in terms of strong or weak and positive or negative.
- Charts and graphs: Interpret a scatter plot (Algebra - N.6)

A1.7 Additional Key Content

A1.7.A Sketch the graph for an exponential function of the form y = ab to the nth power where n is an integer, describe the effects that changes in the parameters a and b have on the graph, and answer questions that arise in situations modeled by exponential functions.
- Exponential functions: Match exponential functions and graphs (Algebra - X.2)
A1.7.B Find and approximate solutions to exponential equations.
- Exponential functions: Evaluate an exponential function (Algebra - X.1)
- Exponential functions: Exponential growth and decay: word problems (Algebra - X.3)
A1.7.C Express arithmetic and geometric sequences in both explicit and recursive forms, translate between the two forms, explain how rate of change is represented in each form, and use the forms to find specific terms in the sequence.
A1.7.D Solve an equation involving several variables by expressing one variable in terms of the others.
- Systems of linear equations: Solve a system of equations using substitution (Algebra - U.8)
- Systems of linear equations: Solve a system of equations using any method (Algebra - U.14)

A1.8 Reasoning, problem solving, and communication

A1.8.A Analyze a problem situation and represent it mathematically.
A1.8.B Select and apply strategies to solve problems.
A1.8.C Evaluate a solution for reasonableness, verify its accuracy, and interpret the solution in the context of the original problem.
A1.8.D Generalize a solution strategy for a single problem to a class of related problems, and apply a strategy for a class of related problems to solve specific problems.
A1.8.E Read and interpret diagrams, graphs, and text containing the symbols, language, and conventions of mathematics.
A1.8.F Summarize mathematical ideas with precision and efficiency for a given audience and purpose.
A1.8.G Synthesize information to draw conclusions, and evaluate the arguments and conclusions of others.
A1.8.H Use inductive reasoning about algebra and the properties of numbers to make conjectures, and use deductive reasoning to prove or disprove conjectures.