### RP: Ratios and Proportional Relationships

#### RP.A: Analyze proportional relationships and use them to solve problems.

RP.A.1: Compute unit rates, including those that involve complex fractions, with like or different units.

RP.A.2: Recognize and represent proportional relationships between quantities.

RP.A.2.a: Determine when two quantities are in a proportional relationship.

RP.A.2.b: Identify and/or compute the constant of proportionality (unit rate).

RP.A.2.c: Explain what a point (x, y) on the graph of a proportional relationship means in terms of the situation.

RP.A.2.d: Recognize that the graph of any proportional relationship will pass through the origin.

RP.A.3: Solve problems involving ratios, rates, percentages and proportional relationships.

### NS: Number Sense and Operations

#### NS.A: Apply and extend previous understandings of operations to add, subtract, multiply and divide rational numbers.

NS.A.1: Apply and extend previous understandings of numbers to add and subtract rational numbers.

NS.A.1.a: Add and subtract rational numbers.

NS.A.1.b: Represent addition and subtraction on a horizontal or vertical number line.

NS.A.1.c: Describe situations and show that a number and its opposite have a sum of 0 (additive inverses).

NS.A.1.d: Understand subtraction of rational numbers as adding the additive inverse.

NS.A.1.e: Determine the distance between two rational numbers on the number line is the absolute value of their difference.

NS.A.1.f: Interpret sums and differences of rational numbers.

NS.A.2: Apply and extend previous understandings of numbers to multiply and divide rational numbers.

NS.A.2.a: Multiply and divide rational numbers.

NS.A.2.c: Understand that every quotient of integers (with non-zero divisor) is a rational number.

NS.A.2.d: Convert a rational number to a decimal.

NS.A.2.e: Understand that all rational numbers can be written as fractions or decimal numbers that terminate or repeat.

NS.A.2.f: Interpret products and quotients of rational numbers by describing real-world contexts.

NS.A.3: Solve problems involving the four arithmetic operations with rational numbers.

### EEI: Expressions, Equations and Inequalities

#### EEI.A: Use properties of operations to generate equivalent expressions.

EEI.A.1: Apply properties of operations to simplify and to factor linear algebraic expressions with rational coefficients.

EEI.A.2: Understand how to use equivalent expressions to clarify quantities in a problem.

#### EEI.B: Solve problems using numerical and algebraic expressions and equations.

EEI.B.1: Solve multi-step problems posed with rational numbers.

EEI.B.1.a: Convert between equivalent forms of the same number.

EEI.B.1.b: Assess the reasonableness of answers using mental computation and estimation strategies.

EEI.B.2: Write and/or solve linear equations and inequalities in one variable.

EEI.B.2.a: Write and/or solve equations of the form x + p = q and px = q in which p and q are rational numbers.

EEI.B.2.b: Write and/or solve two-step equations of the form px + q = r and p(x + q) = r, where p, q and r are rational numbers, and interpret the meaning of the solution in the context of the problem.

EEI.B.2.c: Write, solve and/or graph inequalities of the form px + q > r or px + q < r, where p, q and r are rational numbers.

### GM: Geometry and Measurement

#### GM.A: Draw and describe geometrical figures and describe the relationships between them.

GM.A.1: Solve problems involving scale drawings of real objects and geometric figures, including computing actual lengths and areas from a scale drawing and reproducing the drawing at a different scale.

GM.A.2: Use a variety of tools to construct geometric shapes.

GM.A.2.a: Determine if provided constraints will create a unique triangle through construction.

GM.A.2.b: Construct special quadrilaterals given specific parameters.

GM.A.4: Understand concepts of circles.

GM.A.4.a: Analyze the relationships among the circumference, the radius, the diameter, the area and Pi in a circle.

GM.A.4.b: Know and apply the formulas for circumference and area of circles to solve problems.

#### GM.B: Apply and extend previous understanding of angle measure, area and volume.

GM.B.1: Use angle properties to write and solve equations for an unknown angle.

GM.B.2: Understand the relationship between area, surface area and volume.

GM.B.2.a: Find the area of triangles, quadrilaterals and other polygons composed of triangles and rectangles.

GM.B.2.b: Find the volume and surface area of prisms, pyramids and cylinders.

### DSP: Data Analysis, Statistics and Probability

#### DSP.A: Use random sampling to draw inferences about a population.

DSP.A.1: Understand that statistics can be used to gain information about a population by examining a sample of the population.

DSP.A.1.a: Understand that a sample is a subset of a population.

DSP.A.1.b: Understand that generalizations from a sample are valid only if the sample is representative of the population.

DSP.A.1.c: Understand that random sampling is used to produce representative samples and support valid inferences.

DSP.A.2: Use data from multiple samples to draw inferences about a population and investigate variability in estimates of the characteristic of interest.

#### DSP.B: Draw informal comparative inferences about two populations.

DSP.B.1: Analyze different data distributions using statistical measures.

DSP.B.2: Compare the numerical measures of center, measures of frequency and measures of variability from two random samples to draw inferences about the population.

#### DSP.C: Develop, use and evaluate probability models.

DSP.C.1: Investigate the probability of chance events.

DSP.C.1.a: Determine probabilities of simple events.

DSP.C.1.b: Understand that the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring.

DSP.C.2: Investigate the relationship between theoretical and experimental probabilities for simple events.

DSP.C.2.a: Predict outcomes using theoretical probability.

DSP.C.2.b: Perform experiments that model theoretical probability.

DSP.C.2.c: Compare theoretical and experimental probabilities.

DSP.C.3: Explain possible discrepancies between a developed probability model and observed frequencies.

DSP.C.3.a: Develop a uniform probability model by assigning equal probability to all outcomes, and use the model to determine probabilities of events.

DSP.C.3.b: Develop a probability model (which may not be uniform) by observing frequencies in data generated from a chance process.

DSP.C.4: Find probabilities of compound events using organized lists, tables, tree diagrams and simulations.

DSP.C.4.a: Represent the sample space of a compound event.

DSP.C.4.b: Design and use a simulation to generate frequencies for compound events.

Correlation last revised: 9/16/2020

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