Algebra I (Missouri Learning Standards)

Number and Quantity (NQ), cluster A

• A1.NQ.A.1 Explain how rational exponents follow from the rules for integer exponents.
• A1.NQ.A.2 Rewrite radical and rational-exponent expressions with exponent rules (unit-fraction exponents only).

Number and Quantity (NQ), cluster B

• Use units to make sense of and solve problems with quantities.
• A1.NQ.B.3a Identify, label, and use suitable units in a problem.
• A1.NQ.B.3b Convert units and rates.
• A1.NQ.B.3c Use units within problems.
• A1.NQ.B.3d Choose and interpret the scale and origin of graphs and data displays.
• A1.NQ.B.4 Define and use suitable quantities for a context.
• A1.NQ.B.5 Report quantities with accuracy that suits the limits of measurement.

Seeing Structure in Expressions (SSE), cluster A

• A1.SSE.A.1 Interpret what individual terms or factors mean in a formula or expression from a problem.
• A1.SSE.A.2 Use the structure of polynomials to write equivalent expressions or equations.
• Choose and write equivalent forms of a quadratic to show and explain its properties.
• A1.SSE.A.3a Factor a quadratic to find its zeros.
• A1.SSE.A.3b Complete the square to find a quadratic's maximum or minimum.

Creating Equations (CED), cluster A

• A1.CED.A.1 Write one-variable equations and inequalities to model and solve problems.
• A1.CED.A.2 Write two-variable linear, quadratic, and exponential equations and graph them.
• A1.CED.A.3 Show constraints with equations, inequalities, or systems and judge which points are solutions in a model.
• A1.CED.A.4 Rearrange formulas to solve for a chosen variable.

Reasoning with Equations and Inequalities (REI), cluster A

• A1.REI.A.1 Explain how each solving step keeps an equivalent equation or inequality with the same solutions.
• Solve problems with quadratic equations.
• A1.REI.A.2a Complete the square to write an equivalent quadratic equation.
• A1.REI.A.2b Derive the quadratic formula.
• A1.REI.A.2c Compare methods for solving quadratic equations.

Reasoning with Equations and Inequalities (REI), cluster B

• A1.REI.B.3 Solve a linear system by algebra or by graphing.
• A1.REI.B.4 Solve a system of one linear and one quadratic equation by algebra or by graphing.
• A1.REI.B.5 Justify that adding multiples of equations gives an equivalent system.

Reasoning with Equations and Inequalities (REI), cluster C

• A1.REI.C.6 Explain that a two-variable equation's graph is the set of all its solutions.
• A1.REI.C.7 Graph the solutions of a linear inequality in two variables.
• A1.REI.C.8 Solve problems with systems of linear inequalities.

Arithmetic with Polynomials and Rational Expressions (APR), cluster A

• A1.APR.A.1 Add, subtract, and multiply polynomials and see they behave like integers and stay polynomials.
• A1.APR.A.2 Divide polynomials by monomials.

Interpreting Functions (IF), cluster A

• Understand a function as assigning each domain element exactly one range element.
• A1.IF.A.1a Write a function using function notation.
• A1.IF.A.1b Know the graph of f is all the points (x, y) where y = f(x).
• A1.IF.A.2 Evaluate functions with function notation and interpret such statements in context.

Interpreting Functions (IF), cluster B

• A1.IF.B.3 Interpret key features of a function modeling two quantities from tables, graphs, and words.
• A1.IF.B.4 Relate a function's domain and range to its graph and to the situation.
• A1.IF.B.5 Find and interpret the average rate of change over an interval.
• A1.IF.B.6 Interpret the parameters of linear and exponential functions in context.

Interpreting Functions (IF), cluster C

• A1.IF.C.7 Graph functions from their equations and interpret key features.
• A1.IF.C.8 Rewrite functions in equivalent forms to reveal and explain their properties in context.
• A1.IF.C.9 Compare properties of two functions shown in different ways.

Building Functions (BF), cluster A

• A1.BF.A.1 Analyze how translations and scale changes affect functions.

Linear, Quadratic and Exponential Models (LQE), cluster A

• Tell which situations fit linear models and which fit exponential models.
• A1.LQE.A.1a Know linear functions grow by equal differences across equal intervals.
• A1.LQE.A.1b Recognize situations where a quantity rises or falls by the same percent each interval.
• A1.LQE.A.2 Show with graphs and tables that exponential growth eventually beats linear or quadratic growth.
• A1.LQE.A.3 Build linear, quadratic, and exponential equations from graphs, words, or tables.

Linear, Quadratic and Exponential Models (LQE), cluster B

• A1.LQE.B.4 Write arithmetic and geometric sequences recursively and explicitly, model with them, and convert between forms.
• A1.LQE.B.5 Recognize sequences as functions on the integers, sometimes defined recursively.
• A1.LQE.B.6 Find terms of a sequence from an explicit or recursive formula.

Data and Statistical Analysis (DS), cluster A

• A1.DS.A.1 Analyze and interpret graphs of data.
• A1.DS.A.2 Compare center and spread of data sets with statistics suited to their shape.
• A1.DS.A.3 Interpret differences in shape, center, and spread in context, allowing for outliers.
• Summarize data in two-way frequency tables.
• A1.DS.A.4a Interpret relative frequencies in context.
• A1.DS.A.4b Recognize possible associations and trends.
• Make a scatter plot of paired data, describe the relationship, and fit a model function.
• A1.DS.A.5a Fit a linear function to scatter plot data, keeping residuals small.
• A1.DS.A.5b Fit an exponential function to scatter plot data, keeping residuals small.
• A1.DS.A.6 Interpret the slope and y-intercept of a linear model in context.
• A1.DS.A.7 Find and interpret the correlation coefficient of a linear association.
• A1.DS.A.8 Tell correlation apart from causation.