### NS: Number Sense and Operations

#### NS.A: Know that there are numbers that are not rational, and approximate them by rational numbers.

NS.A.1: Explore the real number system.

NS.A.1.a: Know the differences between rational and irrational numbers.

NS.A.1.b: Understand that all rational numbers have a decimal expansion that terminates or repeats.

NS.A.1.c: Convert decimals which repeat into fractions and fractions into repeating decimals.

NS.A.1.d: Generate equivalent representations of rational numbers.

NS.A.2: Estimate the value and compare the size of irrational numbers and approximate their locations on a number line.

### EEI: Expressions, Equations and Inequalities

#### EEI.A: Work with radicals and integer exponents.

EEI.A.1: Know and apply the properties of integer exponents to generate equivalent expressions.

EEI.A.2: Investigate concepts of square and cube roots.

EEI.A.2.a: Solve equations of the form x² = p and x³ = p, where p is a positive rational number.

EEI.A.2.b: Evaluate square roots of perfect squares less than or equal to 625 and cube roots of perfect cubes less than or equal to 1000.

EEI.A.2.c: Recognize that square roots of non-perfect squares are irrational.

EEI.A.3: Express very large and very small quantities in scientific notation and approximate how many times larger one is than the other.

EEI.A.4: Use scientific notation to solve problems.

EEI.A.4.a: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used.

EEI.A.4.b: Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities.

#### EEI.B: Understand the connections between proportional relationships, lines and linear equations.

EEI.B.1: Graph proportional relationships.

EEI.B.1.a: Interpret the unit rate as the slope of the graph.

EEI.B.1.b: Compare two different proportional relationships.

EEI.B.2: Apply concepts of slope and y-intercept to graphs, equations and proportional relationships.

EEI.B.2.a: Explain why the slope (m) is the same between any two distinct points on a non-vertical line in the Cartesian coordinate plane.

EEI.B.2.b: Derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

#### EEI.C: Analyze and solve linear equations and inequalities and pairs of simultaneous linear equations.

EEI.C.1: Solve linear equations and inequalities in one variable.

EEI.C.1.a: Create and identify linear equations with one solution, infinitely many solutions or no solutions.

EEI.C.1.b: Solve linear equations and inequalities with rational number coefficients, including equations and inequalities whose solutions require expanding expressions using the distributive property and combining like terms.

EEI.C.2: Analyze and solve systems of linear equations.

EEI.C.2.a: Graph systems of linear equations and recognize the intersection as the solution to the system.

EEI.C.2.b: Explain why solution(s) to a system of two linear equations in two variables correspond to point(s) of intersection of the graphs.

EEI.C.2.c: Explain why systems of linear equations can have one solution, no solution or infinitely many solutions.

EEI.C.2.d: Solve systems of two linear equations.

### GM: Geometry and Measurement

#### GM.A: Understand congruence and similarity using physical models, transparencies or geometry software.

GM.A.1: Verify experimentally the congruence properties of rigid transformations.

GM.A.1.a: Verify that angle measure, betweeness, collinearity and distance are preserved under rigid transformations.

GM.A.1.b: Investigate if orientation is preserved under rigid transformations.

GM.A.2: Understand that two-dimensional figures are congruent if a series of rigid transformations can be performed to map the pre-image to the image.

GM.A.2.a: Describe a possible sequence of rigid transformations between two congruent figures.

GM.A.3: Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.

GM.A.4: Understand that two-dimensional figures are similar if a series of transformations (rotations, reflections, translations and dilations) can be performed to map the pre-image to the image.

GM.A.4.a: Describe a possible sequence of transformations between two similar figures.

GM.A.5: Explore angle relationships and establish informal arguments.

GM.A.5.a: Derive the sum of the interior angles of a triangle.

GM.A.5.b: Explore the relationship between the interior and exterior angles of a triangle.

GM.A.5.c: Construct and explore the angles created when parallel lines are cut by a transversal.

GM.A.5.d: Use the properties of similar figures to solve problems.

#### GM.B: Understand and apply the Pythagorean Theorem.

GM.B.1: Use models to demonstrate a proof of the Pythagorean Theorem and its converse.

GM.B.2: Use the Pythagorean Theorem to determine unknown side lengths in right triangles in problems in two- and three-dimensional contexts.

GM.B.3: Use the Pythagorean Theorem to find the distance between points in a Cartesian coordinate system.

#### GM.C: Solve problems involving volume of cones, pyramids and spheres.

GM.C.1: Solve problems involving surface area and volume.

GM.C.1.a: Understand the concept of surface area and find surface area of pyramids.

GM.C.1.b: Understand the concepts of volume and find the volume of pyramids, cones and spheres.

### DSP: Data Analysis, Statistics and Probability

#### DSP.A: Investigate patterns of association in bivariate data.

DSP.A.1: Construct and interpret scatter plots of bivariate measurement data to investigate patterns of association between two quantities.

DSP.A.2: Generate and use a trend line for bivariate data, and informally assess the fit of the line.

DSP.A.3: Interpret the parameters of a linear model of bivariate measurement data to solve problems.

DSP.A.4: Understand the patterns of association in bivariate categorical data displayed in a two-way table.

DSP.A.4.a: Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects.

DSP.A.4.b: Use relative frequencies calculated for rows or columns to describe possible association between the two variables.

### F: Functions

#### F.A: Define, evaluate and compare functions.

F.A.1: Explore the concept of functions. (The use of function notation is not required.)

F.A.1.a: Understand that a function assigns to each input exactly one output.

F.A.1.b: Determine if a relation is a function.

F.A.1.c: Graph a function.

F.A.2: Compare characteristics of two functions each represented in a different way.

F.A.3: Investigate the differences between linear and nonlinear functions.

F.A.3.a: Interpret the equation y = mx + b as defining a linear function, whose parameters are the slope (m) and the y-intercept (b).

F.A.3.b: Recognize that the graph of a linear function has a constant rate of change.

F.A.3.c: Give examples of nonlinear functions.

#### F.B: Use functions to model relationships between quantities.

F.B.1: Use functions to model linear relationships between quantities.

F.B.1.a: Explain the parameters of a linear function based on the context of a problem.

F.B.1.b: Determine the parameters of a linear function.

F.B.1.c: Determine the x-intercept of a linear function.

F.B.2: Describe the functional relationship between two quantities from a graph or a verbal description.

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.