### RP: Ratio and Proportional Relationships

#### RP.A: Analyze proportional relationships and use them to solve real-world and mathematical problems.

RP.A.P.1: Proficient students compute unit rates associated with ratios of like or unlike rational numbers;

RP.A.A.1: Advanced students compute unit rates associated with ratios of rational numbers including complex fractions;

RP.A.P.4: Proficient student create equations that represent proportional relationships;

RP.A.B.4: Basic students identify the x- and y-coordinates on a graph in a real-world context;

RP.A.B.5: Basic students solve for an unknown value in proportional problems given the equation a/b = c/d.

RP.A.P.6: Proficient student use proportional relationships to solve ratio and percent problems that require multi-steps.

RP.A.A.5: Advanced students use proportional relationships to solve ratio and percent problems that require multi-steps in a real-world context.

### NS: The Number System

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

NS.B.B.1: Basic students add and subtract two integers;

NS.B.P.1: Proficient student add and subtract up to three rational numbers;

NS.B.A.1: Advanced students add and subtract four or more rational numbers and justify the sum or difference of rational numbers using properties of addition and subtraction, numbers, and number lines;

NS.B.B.2: Basic students multiply and divide two integers;

NS.B.P.2: Proficient student multiply and divide up to three rational numbers;

NS.B.A.2: Advanced students multiply and divide four or more rational numbers and justify the product or quotient of rational numbers using properties of multiplication and division, numbers, and number lines;

NS.B.B.4: Basic students solve mathematical problems involving at least two of the operations with integers.

NS.B.P.4: Proficient student solve mathematical and real-world problems involving at least two of the operations with rational numbers.

NS.B.A.4: Advanced students solve mathematical and real-world problems involving three or more of the operations, including complex fractions.

### EE: Expressions and Equations

#### EE.C: Use properties of operations to generate equivalent expressions.

EE.C.P.1: Proficient students generate equivalent expressions by adding, subtracting, multiplying, and factoring with at least one rational coefficient;

EE.C.A.1: Advanced students generate equivalent expressions by adding, subtracting, multiplying, and factoring with multiple rational coefficients;

EE.C.A.2: Advanced students interpret the relationships between expressions.

#### EE.D: Solve real-life and mathematical problems using numerical and algebraic expressions and equations.

EE.D.P.1: Proficient students solve multi-step real-world and mathematical problems consisting of positive and negative rational numbers given in any form;

EE.D.P.2: Proficient students approximate answers to real-world and mathematical problems by estimation;

EE.D.A.1: Advanced students assess the reasonableness of answers to real-world and mathematical problems by estimation;

EE.D.B.2: Basic students solve one-step mathematical problems leading to equations involving integers and two-step mathematical problems leading to equations involving whole numbers;

EE.D.P.3: Proficient students solve two-step real-world and mathematical problems leading to equations involving rational numbers;

EE.D.P.4: Proficient students solve two-step real-world and mathematical problems leading to inequalities involving rational numbers;

### G: Geometry

#### G.E: Draw, construct, and describe geometrical figures and describe the relationships between them.

G.E.P.1: Proficient students compute actual lengths from scale drawings and verbal descriptions;

G.E.B.2: Basic students identify the type of triangle with respect to angle measures and side measures;

G.E.P.2: Proficient students determine if the three measures of angles or sides meets the condition of a unique triangle, more than one triangle, or no triangle;

#### G.F: Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

G.F.P.1: Proficient students calculate the area and circumference of a circle;

G.F.A.1: Advanced students solve for a component part (radius or diameter) given the circumference of a circle;

G.F.B.2: Basic students understand the relationship between a pair of supplementary, complementary, or vertical angles;

G.F.B.3: Basic students solve real-world and mathematical problems involving the area of a polygon composed of two figures consisting of triangles and rectangles;

G.F.P.3: Proficient students solve real-world and mathematical problems involving the area of a polygon composed of no more than three figures consisting of triangles and quadrilaterals;

G.F.A.3: Advanced students solve real-world and mathematical problems involving the area of a figure composed of polygons;

G.F.B.4: Basic students solve real-world and mathematical problems involving the volume of a right prism given the area of the base and the height

G.F.B.5: Basic students determine the surface area of a right rectangular prism.

G.F.P.5: Proficient students solve real-world and mathematical problems involving the surface area of a right prism.

G.F.A.5: Advanced students solve real-world and mathematical problems involving the surface area of a solid composed of right prisms.

### SP: Statistics and Probability

#### SP.G: Use random sampling to draw inferences about a population.

SP.G.B.1: Basic students identify a statistical question that can be used to sample a population.

SP.G.P.1: Proficient students identify the characteristics of valid random samples and how they produce representative samples and valid inferences about a population;

SP.G.P.2: Proficient students use data from a random sample to draw generalizations and inferences about a population.

SP.G.A.2: Advanced students compare multiple random samples of the same size from a population to analyze the variations in the population.

#### SP.H: Draw informal comparative inferences about two populations.

SP.H.B.1: Basic students compare the measures of center of two data sets.

SP.H.P.1: Proficient students compare two populations with respect to the measures of center and measures of variability.

SP.H.A.1: Advanced students draw inferences about two populations with respect to the measures of center and measures of variability.

#### SP.I: Investigate chance processes and develop, use, and evaluate probability models.

SP.I.B.1: Basic students describe the probability of a chance event as a number between 0 and 1;

SP.I.P.1: Proficient students identify a chance event as an unlikely event, an event that is neither unlikely nor likely, or a likely event given the probability of the chance event as a number between 0 and 1;

SP.I.B.2: Basic students determine probabilities of simple probability models;

SP.I.A.2: Advanced students determine the probability of multiple-event probability models;

SP.I.B.3: Basic students determine the sample space from two compound events using lists, tables, and tree diagrams.

SP.I.P.3: Proficient students determine the probability of compound events consisting of two simple events.

Correlation last revised: 9/15/2020

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