Gizmos for Tennessee - Mathematics: Integrated Mathematics I (Academic Standards adopted 2016)

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.

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.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.A.2: : Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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.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.G.CO.C.10: : Prove theorems about triangles.

M1.G.CO.C.11: : Prove theorems about parallelograms.

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: 2/1/2022

Tennessee - Mathematics: Integrated Mathematics I

Academic Standards | Adopted: 2016

M1.A: : Algebra

M1.F: : Functions

M1.G: : Geometry

M1.S: : Statistics and Probability