Algebra I

Other South Dakota Mathematics sets

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• Grade 1
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• 8th Grade
• Grade 8
• Grades 9, 10, 11, 12
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• Pre-Calculus

 Use function notation, evaluate functions, and interpret statements that use function notation in terms of a context.A1.AF.1

Determine whether a relationship is a function given a graph, an equation, or a table of values.A1.AF.2

Compare linear, quadratic, and exponential growth using tables and graphs to show that exponential growth eventually exceeds othersA1.AF.3

Differentiate between real-world scenarios that can be modeled by exponential or linear functions by determining whether the relationship has a common difference or a common ratio.A1.AF.4

Represent and solve real-world problems, using linear expressions, equations, and inequalities in one variable. Interpret the solution as reasonable or unreasonable in context.A1.LF.1

Solve linear equations and linear inequalities in one variable, including those with rational number coefficients, variables on both sides of the equal or inequality sign, and literal equations, explaining the process used.A1.LF.2

Construct linear functions from arithmetic sequences with and without context.A1.LF.3

Write arithmetic sequences using explicit and recursive formulas.A1.LF.4

Identify the parts of expressions such as terms, factors, variables, constants, and coefficients.A1.LF.5

Determine reasonable domain and range values of linear functions representing real-world situations, both continuous and discrete.A1.LF.6

Interpret the key features of linear functions that model a relationship between two quantities in a given context.A1.LF.7

Use different representations of a linear function, including graphs, tables, and equations.A1.LF.8

Calculate and interpret the rate of change of a linear function represented in a table, graph, or as an equation in context of real-world and mathematical problems.A1.LF.9

Translate between equivalent forms of equations for linear functions, including standard, point-slope, and slope intercept forms; recognize that each form reveals key features in a given context.A1.LF.10

Estimate the solution of a system of linear equations by graphing the equations on a coordinate planeA1.LF.11

 Solve a system of linear equations with integer coefficients algebraically (substitution and elimination).A1.LF.12

Solve linear inequalities and systems of linear inequalities in two variables by graphing.A1.LF.13

 Explain why a solution to the equation 𝑓(𝑥) = 𝑔(𝑥) is the x-coordinate where the y-coordinate of 𝑓(𝑥) and 𝑔(𝑥) are the same using graphs, tables, or approximations. Include cases where 𝑓(𝑥) and/or 𝑔(𝑥) are linear, quadratic, and exponential.A1.LF.14

Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.A1.LF.15

Compute (using technology) and interpret the correlation coefficient of a linear fit.A1.LF.16

Distinguish between correlation and causation. A1.LF.17

Solve quadratic equations with real number solutions, containing one variable, including those with variables on both sides of the equal sign. Equations should be solved by: graphing, factoring, completing the square (leading coefficient is one, 𝑏 value is even), taking the square root and using the quadratic formula. A1.QF.1

Interpret the solutions for quadratic equations as reasonable or unreasonable in context.A1.QF.2

Graph quadratic functions in standard and vertex formA1.QF.3

Determine the domain and range of quadratic functions.A1.QF.4

Determine reasonable domain and range values of quadratic functions representing real-world situations.A1.QF.5

Interpret the key features of a quadratic function (direction, roots, zeros, x-intercepts, and maximum or minimum values) that models a relationship between two quantities in a given context.A1.QF.6

Graph and describe how transformations (stretches, translations, and reflections) affect linear, absolute value, and quadratic functions.A1.QF.7

Construct exponential equations from geometric sequences with and without context. A1.EF.1

Use properties of exponents to write equivalent expressions for exponential functions.A1.EF.2

Write geometric sequences using explicit and recursive formulas.A1.EF.3

Determine the domain and range of exponential functionsA1.EF.4

Determine reasonable domain and range values of exponential functions representing real-world situations.A1.EF.5

Interpret the key features of an exponential function that models a relationship between two quantities in a given context.A1.EF.6

Graph exponential functions that model real-world problems (growth, decay, and compound interest), showing key attributes.A1.EF.7

Interpret the quantities in an exponential equation in the context of a real-world problem, including growth, decay, and compound interest.A1.EF.8

Use box plots and histograms to determine the statistics appropriate to the shape of the data distribution; compare the center (mean and median) and spread (standard deviation and IQR) of two or more data setsA1.SP.1

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points.A1.SP.2

Interpret relative frequencies and associations in two-way tables.A1.SP.3