### RP: Ratios and Proportional Relationships

#### RP.A: Understand and use ratios to solve problems.

RP.A.1: Understand a ratio as a comparison of two quantities and represent these comparisons.

RP.A.2: Understand the concept of a unit rate associated with a ratio, and describe the meaning of unit rate.

RP.A.3: Solve problems involving ratios and rates.

RP.A.3.a: Create tables of equivalent ratios, find missing values in the tables and plot the pairs of values on the Cartesian coordinate plane.

RP.A.3.b: Solve unit rate problems.

RP.A.3.c: Solve percent problems.

RP.A.3.d: Convert measurement units within and between two systems of measurement.

### NS: Number Sense and Operations

#### NS.A: Apply and extend previous understandings of multiplication and division to divide fractions by fractions.

NS.A.1: Compute and interpret quotients of positive fractions.

NS.A.1.a: Solve problems involving division of fractions by fractions.

#### NS.B: Compute with non-negative multi-digit numbers, and find common factors and multiples.

NS.B.2: Demonstrate fluency with addition, subtraction, multiplication and division of decimals.

#### NS.C: Apply and extend previous understandings of numbers to the system of rational numbers.

NS.C.2: Locate a rational number as a point on the number line.

NS.C.2.a: Locate rational numbers on a horizontal or vertical number line.

NS.C.2.b: Write, interpret and explain problems of ordering of rational numbers.

NS.C.2.c: Understand that a number and its opposite (additive inverse) are located on opposite sides of zero on the number line.

NS.C.3: Understand that the absolute value of a rational number is its distance from 0 on the number line.

NS.C.4: Extend prior knowledge to generate equivalent representations of rational numbers between fractions, decimals and percentages (limited to terminating decimals and/or benchmark fractions of 1/3 and 2/3).

### EEI: Expressions, Equations and Inequalities

#### EEI.A: Apply and extend previous understandings of arithmetic to algebraic expressions.

EEI.A.1: Describe the difference between an expression and an equation.

EEI.A.2: Create and evaluate expressions involving variables and whole number exponents.

EEI.A.2.a: Identify parts of an expression using mathematical terminology.

EEI.A.2.d: Write and evaluate algebraic expressions.

EEI.A.3: Identify and generate equivalent algebraic expressions using mathematical properties.

#### EEI.B: Reason about and solve one-variable equations and inequalities.

EEI.B.2: Understand that if any solutions exist, the solution set for an equation or inequality consists of values that make the equation or inequality true.

EEI.B.3: Write and solve equations using variables to represent quantities, and understand the meaning of the variable in the context of the situation.

EEI.B.4: Solve one-step linear equations in one variable involving non-negative rational numbers.

EEI.B.5: Recognize that inequalities may have infinitely many solutions.

EEI.B.5.a: Write an inequality of the form x > c, x < c, x ≥ c, or x ≤ c to represent a constraint or condition.

EEI.B.5.b: Graph the solution set of an inequality.

#### EEI.C: Represent and analyze quantitative relationships between dependent and independent variables.

EEI.C.1: Identify and describe relationships between two variables that change in relationship to one another.

EEI.C.1.b: Analyze the relationship between the dependent and independent variables using graphs, tables and equations and relate these representations to each other.

### GM: Geometry and Measurement

#### GM.A: Solve problems involving area, surface area and volume.

GM.A.1: Find the area of polygons by composing or decomposing the shapes into rectangles or triangles.

GM.A.2: Find the volume of right rectangular prisms.

GM.A.2.a: Understand that the volume of a right rectangular prism can be found by filling the prism with multiple layers of the base.

GM.A.2.b: Apply V = l * w * h and V = Bh to find the volume of right rectangular prisms.

GM.A.3: Solve problems by graphing points in all four quadrants of the Cartesian coordinate plane.

GM.A.3.c: Find distances between points with the same first coordinate or the same second coordinate.

GM.A.4: Solve problems using nets.

GM.A.4.a: Represent three-dimensional figures using nets made up of rectangles and triangles.

GM.A.4.b: Use nets to find the surface area of three-dimensional figures whose sides are made up of rectangles and triangles.

### DSP: Data Analysis, Statistics and Probability

#### DSP.A: Develop understanding of statistical variability.

DSP.A.1: Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers.

DSP.A.2: Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread and overall shape.

DSP.A.3: Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary from a single number.

#### DSP.B: Summarize and describe distributions.

DSP.B.1: Display and interpret data.

DSP.B.1.a: Use dot plots, histograms and box plots to display and interpret numerical data.

DSP.B.1.b: Create and interpret circle graphs.

DSP.B.2: Summarize numerical data sets in relation to the context.

DSP.B.2.b: Describe the nature of the attribute under investigation, including how it was measured and its units of measurement.

DSP.B.2.c: Give quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context of the data.

DSP.B.2.d: Analyze the choice of measures of center and variability based on the shape of the data distribution and/or the context of the data.

Correlation last revised: 9/24/2019

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