Gizmos for Mississippi - Mathematics: Algebra I (College- and Career-Readiness Standards adopted 2016)

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

A: : Algebra

A-SSE: : Seeing Structure in Expressions

2.1.1: : Interpret the structure of expressions

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

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

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

A-SSE.2: : Use the structure of an expression to identify ways to rewrite it.

2.1.2: : Write expressions in equivalent forms to solve problems

A-SSE.3: : Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

A-SSE.3a: : Factor a quadratic expression to reveal the zeros of the function it defines.

A-SSE.3b: : Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

A-SSE.3c: : Use the properties of exponents to transform expressions for exponential functions.

A-APR: : Arithmetic with Polynomials and Rational Expressions

2.2.1: : Perform arithmetic operations on polynomials

A-APR.1: : Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

2.2.2: : Understand the relationship between zeros and factors of polynomials

A-APR.3: : Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial (limit to 1st- and 2nd-degree polynomials).

A-CED: : Creating Equations

2.3.1: : Create equations that describe numbers or relationships

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

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

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

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

A-REI: : Reasoning with Equations and Inequalities

2.4.1: : Understand solving equations as a process of reasoning and explain the reasoning

A-REI.1: : Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

2.4.2: : Solve equations and inequalities in one variable

A-REI.3: : Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A-REI.4: : Solve quadratic equations in one variable.

A-REI.4a: : Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions. Derive the quadratic formula from this form.

A-REI.4b: : Solve quadratic equations by inspection (e.g., for x² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions.

2.4.3: : Solve systems of equations

A-REI.5: : Given a system of two equations in two variables, show and explain why the sum of equivalent forms of the equations produces the same solution as the original system.

A-REI.6: : Solve systems of linear equations algebraically, exactly, and graphically while focusing on pairs of linear equations in two variables.

2.4.4: : Represent and solve equations and inequalities graphically

A-REI.10: : 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).

A-REI.11: : 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 solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, quadratic, absolute value, and exponential functions.

A-REI.12: : 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.

F: : Functions

F-IF: : Interpreting Functions

3.1.1: : Understand the concept of a function and use function notation

F-IF.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).

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

F-IF.3: : Recognize that sequences are functions whose domain is a subset of the integers.

3.1.2: : Interpret functions that arise in applications in terms of the context

F-IF.4: : 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.

F-IF.5: : Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.

F-IF.6: : 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.

3.1.3: : Analyze functions using different representations

F-IF.7: : Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

F-IF.7a: : Graph functions (linear and quadratic) and show intercepts, maxima, and minima.

F-IF.7b: : Graph square root and piecewise-defined functions, including absolute value functions.

F-IF.8: : Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

F-IF.8a: : Use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph, and interpret these in terms of a context.

F-IF.9: : Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

F-BF: : Building Functions

3.2.1: : Build a function that models a relationship between two quantities

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

F-BF.1a: : Determine an explicit expression or steps for calculation from a context.

3.2.2: : Build new functions from existing functions

F-BF.3: : Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology.

F-LE: : Linear, Quadratic, and Exponential Models

3.3.1: : Construct and compare linear, quadratic, and exponential models and solve problems

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

F-LE.1a: : Prove that linear functions grow by equal differences over equal intervals and that exponential functions grow by equal factors over equal intervals.

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

F-LE.1c: : Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

F-LE.2: : Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

3.3.2: : Interpret expressions for functions in terms of the situation they model

F-LE.5: : Interpret the parameters in a linear or exponential function in terms of a context.

S: : Statistics and Probability

S-ID: : Interpreting Categorical and Quantitative Data

4.1.1: : Summarize, represent, and interpret data on a single count or measurement variable

S-ID.1: : Represent and analyze data with plots on the real number line (dot plots, histograms, and box plots).

S-ID.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.

S-ID.3: : Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

4.1.2: : Summarize, represent, and interpret data on two categorical and quantitative variables

S-ID.5: : Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data.

S-ID.6: : Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

S-ID.6a: : Fit a function to the data; use functions fitted to data to solve problems in the context of the data.

S-ID.6b: : Informally assess the fit of a function by plotting and analyzing residuals.

S-ID.6c: : Fit a linear function for a scatter plot that suggests a linear association.

4.1.3: : Interpret linear models

S-ID.7: : Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

S-ID.8: : Compute (using technology) and interpret the correlation coefficient of a linear fit.

S-ID.9: : Distinguish between correlation and causation.

Correlation last revised: 9/16/2020

Mississippi - Mathematics: Algebra I

College- and Career-Readiness Standards | Adopted: 2016

A: : Algebra

F: : Functions

S: : Statistics and Probability