### M1.A: Algebra

#### M1.A.SSE: Seeing Structure in Expressions

M1.A.SSE.A: Interpret the structure of expressions.

M1.A.SSE.A.1: Interpret expressions that represent a quantity in terms of its context.

M1.A.SSE.A.1.a: Interpret parts of an expression, such as terms, factors, and coefficients.

M1.A.SSE.A.1.b: Interpret complicated expressions by viewing one or more of their parts as a single entity.

M1.A.SSE.B: Write expressions in equivalent forms to solve problems.

M1.A.SSE.B.2: Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

M1.A.SSE.B.2.a: Use the properties of exponents to rewrite exponential expressions.

#### M1.A.CED: Creating Equations

M1.A.CED.A: Create equations that describe numbers or relationships.

M1.A.CED.A.1: Create equations and inequalities in one variable and use them to solve problems.

M1.A.CED.A.2: Create equations in two or more variables to represent relationships between quantities; graph equations with two variables on coordinate axes with labels and scales.

M1.A.CED.A.3: Represent constraints by equations or inequalities and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

M1.A.CED.A.4: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

#### M1.A.REI: Reasoning with Equations and Inequalities

M1.A.REI.A: Solve equations and inequalities in one variable.

M1.A.REI.A.1: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

M1.A.REI.B: Solve systems of equations.

M1.A.REI.B.2: Write and solve a system of linear equations in context.

M1.A.REI.C: Represent and solve equations and inequalities graphically.

M1.A.REI.C.3: 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).

M1.A.REI.C.4: 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 approximate solutions using technology.

M1.A.REI.C.5: 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.

### M1.F: Functions

#### M1.F.IF: Interpreting Functions

M1.F.IF.A: Understand the concept of a function and use function notation.

M1.F.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).

M1.F.IF.B: Interpret functions that arise in applications in terms of the context.

M1.F.IF.B.3: 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.

M1.F.IF.B.4: Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

M1.F.IF.B.5: 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.

M1.F.IF.C: Analyze functions using different representations.

M1.F.IF.C.6: Graph functions expressed symbolically and show key features of the graph, by hand and using technology.

M1.F.IF.C.6.a: Graph linear functions and show its intercepts.

M1.F.IF.C.7: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

#### M1.F.BF: Building Functions

M1.F.BF.A: Build a function that models a relationship between two quantities.

M1.F.BF.A.1: Write a function that describes a relationship between two quantities.

M1.F.BF.A.1.a: Determine an explicit expression, a recursive process, or steps for calculation from a context.

M1.F.BF.A.2: Write arithmetic and geometric sequences with an explicit formula and use them to model situations.

#### M1.F.LE: Linear and Exponential Models

M1.F.LE.A: Construct and compare linear and exponential models and solve problems.

M1.F.LE.A.1: Distinguish between situations that can be modeled with linear functions and with exponential functions.

M1.F.LE.A.1.a: Recognize that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

M1.F.LE.A.1.b: Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

M1.F.LE.A.1.c: Recognize situations in which a quantity grows or decays by a constant factor per unit interval relative to another.

M1.F.LE.A.2: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a table, a description of a relationship, or input-output pairs.

M1.F.LE.A.3: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly.

M1.F.LE.B: Interpret expressions for functions in terms of the situation they model.

M1.F.LE.B.4: Interpret the parameters in a linear or exponential function in terms of a context.

### M1.G: Geometry

#### M1.G.CO: Congruence

M1.G.CO.A: Experiment with transformations in the plane.

M1.G.CO.A.1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, plane, distance along a line, and distance around a circular arc.

M1.G.CO.A.2: Represent transformations in the plane in multiple ways, including technology. Describe transformations as functions that take points in the plane (pre-image) as inputs and give other points (image) as outputs. Compare transformations that preserve distance and angle measure to those that do not (e.g., translation versus horizontal stretch).

M1.G.CO.A.3: Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry the shape onto itself.

M1.G.CO.A.4: Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.

M1.G.CO.A.5: Given a geometric figure and a rigid motion, draw the image of the figure in multiple ways, including technology. Specify a sequence of rigid motions that will carry a given figure onto another.

M1.G.CO.B: Understand congruence in terms of rigid motions.

M1.G.CO.B.6: Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to determine informally if they are congruent.

M1.G.CO.C: Prove geometric theorems.

M1.G.CO.C.9: Prove theorems about lines and angles.

### M1.S: Statistics and Probability

#### M1.S.ID: Interpreting Categorical and Quantitative Data

M1.S.ID.A: Summarize, represent, and interpret data on a single count or measurement variable.

M1.S.ID.A.1: Represent single or multiple data sets with dot plots, histograms, stem plots (stem and leaf), and box plots.

M1.S.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.

M1.S.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).

M1.S.ID.B: Summarize, represent, and interpret data on two categorical and quantitative variables.

M1.S.ID.B.4: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

M1.S.ID.B.4.a: Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context.

M1.S.ID.B.4.b: Fit a linear function for a scatter plot that suggests a linear association.

M1.S.ID.C: Interpret linear models.

M1.S.ID.C.5: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

M1.S.ID.C.6: Compute (using technology) and interpret the correlation coefficient of a linear fit.

M1.S.ID.C.7: Distinguish between correlation and causation.

Correlation last revised: 11/21/2018

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