Gizmos for Missouri - Mathematics: Algebra I (MO--Learning Standards adopted 2016)

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

NQ: : Number and Quantity

NQ.A: : Extend and use properties of rational exponents.

NQ.A.1: : Explain how the meaning of rational exponents extends from the properties of integer exponents.

NQ.B: : Use units to solve problems.

NQ.B.1: : Use units of measure as a way to understand and solve problems involving quantities.

NQ.B.1.b: : Convert units and rates.

SSE: : Seeing Structure in Expressions

SSE.A: : Interpret and use structure.

SSE.A.1: : Interpret the contextual meaning of individual terms or factors from a given problem that utilizes formulas or expressions.

SSE.A.2: : Analyze the structure of polynomials to create equivalent expressions or equations.

SSE.A.3: : Choose and produce equivalent forms of a quadratic expression or equations to reveal and explain properties.

SSE.A.3.a: : Find the zeros of a quadratic function by rewriting it in factored form.

SSE.A.3.b: : Find the maximum or minimum value of a quadratic function by completing the square.

CED: : Creating Equations

CED.A: : Create equations that describe linear, quadratic and exponential relationships.

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

CED.A.2: : Create and graph linear, quadratic and exponential equations in two variables.

CED.A.3: : Represent constraints by equations or inequalities and by systems of equations or inequalities, and interpret the data points as a solution or non-solution in a modeling context.

CED.A.4: : Solve literal equations and formulas for a specified variable that highlights a quantity of interest.

REI: : Reasoning with Equations and Inequalities

REI.A: : Understand solving equations as a process, and solve equations and inequalities in one variable.

REI.A.1: : Explain how each step taken when solving an equation or inequality in one variable creates an equivalent equation or inequality that has the same solution(s) as the original.

REI.A.2: : Solve problems involving quadratic equations.

REI.A.2.a: : Use the method of completing the square to create an equivalent quadratic equation.

REI.A.2.b: : Derive the quadratic formula.

REI.A.2.c: : Analyze different methods of solving quadratic equations.

REI.B: : Solve systems of equations.

REI.B.1: : Solve a system of linear equations algebraically and/or graphically.

REI.B.3: : Justify that the technique of linear combination produces an equivalent system of equations.

REI.C: : Represent and solve linear and exponential equations and inequalities graphically.

REI.C.1: : Explain that the graph of an equation in two variables is the set of all its solutions plotted in the Cartesian coordinate plane.

REI.C.2: : Graph the solution to a linear inequality in two variables.

REI.C.3: : Solve problems involving a system of linear inequalities.

APR: : Arithmetic with Polynomials and Rational Expressions

APR.A: : Perform operations on polynomials.

APR.A.1: : Add, subtract and multiply polynomials, and understand that polynomials follow the same general rules of arithmetic and are closed under these operations.

APR.A.2: : Divide polynomials by monomials.

IF: : Interpreting Functions

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

IF.A.1: : Understand that a function from one set (domain) to another set (range) assigns to each element of the domain exactly one element of the range.

IF.A.1.a: : Represent a function using function notation.

IF.A.1.b: : Understand that the graph of a function labeled 𝑓 is the set of all ordered pairs (𝑥, y) that satisfy the equation 𝑦ϟ(𝑥).

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

IF.B: : Interpret linear, quadratic and exponential functions in terms of the context.

IF.B.1: : Using tables, graphs and verbal descriptions, interpret key characteristics of a function that models the relationship between two quantities.

IF.B.2: : Relate the domain and range of a function to its graph and, where applicable, to the quantitative relationship it describes.

IF.B.3: : Determine the average rate of change of a function over a specified interval and interpret the meaning.

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

IF.C: : Analyze linear, quadratic and exponential functions using different representations.

IF.C.1: : Graph functions expressed symbolically and identify and interpret key features of the graph.

IF.C.2: : Translate between different but equivalent forms of a function to reveal and explain properties of the function and interpret these in terms of a context.

IF.C.3: : Compare the properties of two functions given different representations.

BF: : Building Functions

BF.A: : Build new functions from existing functions (limited to linear, quadratic and exponential).

BF.A.1: : Analyze the effect of translations and scale changes on functions.

LQE: : Linear, Quadratic and Exponential Models

LQE.A: : Construct and compare linear, quadratic and exponential models and solve problems.

LQE.A.1: : Distinguish between situations that can be modeled with linear or exponential functions.

LQE.A.1.a: : Determine that linear functions change by equal differences over equal intervals.

LQE.A.1.b: : Recognize exponential situations in which a quantity grows or decays by a constant percent rate per unit interval.

LQE.A.2: : Describe, using graphs and tables, that a quantity increasing exponentially eventually exceeds a quantity increasing linearly or quadratically.

LQE.A.3: : Construct linear, quadratic and exponential equations given graphs, verbal descriptions or tables.

LQE.B: : Use arithmetic and geometric sequences.

LQE.B.1: : Write arithmetic and geometric sequences in recursive and explicit forms, and use them to model situations and translate between the two forms.

LQE.B.2: : Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the set of integers.

LQE.B.3: : Find the terms of sequences given an explicit or recursive formula.

DS: : Data and Statistical Analysis

DS.A: : Summarize, represent and interpret data.

DS.A.1: : Analyze and interpret graphical displays of data.

DS.A.2: : Use statistics appropriate to the shape of the data distribution to compare center and spread of two or more different data sets.

DS.A.3: : Interpret differences in shape, center and spreads in the context of the data sets, accounting for possible effects of outliers.

DS.A.4: : Summarize data in two-way frequency tables.

DS.A.4.a: : Interpret relative frequencies in the context of the data.

DS.A.4.b: : Recognize possible associations and trends in the data.

DS.A.5: : Construct a scatter plot of bivariate quantitative data describing how the variables are related; determine and use a function that models the relationship.

DS.A.5.a: : Construct a linear function to model bivariate data represented on a scatter plot that minimizes residuals.

DS.A.5: : Construct an exponential function to model bivariate data represented on a scatter plot that minimizes residuals.

DS.A.6: : Interpret the slope (rate of change) and the y-intercept (constant term) of a linear model in the context of the data.

DS.A.7: : Determine and interpret the correlation coefficient for a linear association.

Correlation last revised: 9/16/2020

Missouri - Mathematics: Algebra I

MO--Learning Standards | Adopted: 2016