### I: Numeric Reasoning

#### I.A: Number representation

I.A.1: Compare real numbers.

### II: Algebraic Reasoning

#### II.A: Expressions and equations

II.A.1: Explain and differentiate between expressions and equations using words such as "solve", "evaluate", and "simplify".

#### II.B: Manipulating expressions

II.B.1: Recognize and use algebraic (field) properties, concepts, procedures, and algorithms to combine, transform, and evaluate expressions (e.g., polynomials, radicals, rational expressions).

#### II.C: Solving equations, inequalities, and systems of equations

II.C.1: Recognize and use algebraic (field) properties, concepts, procedures, and algorithms to solve equations, inequalities, and systems of linear equations.

#### II.D: Representations

II.D.1: Interpret multiple representations of equations and relationships.

II.D.2: Translate among multiple representations of equations and relationships.

### III: Geometric Reasoning

#### III.A: Figures and their properties

III.A.1: Identify and represent the features of plane and space figures.

III.A.2: Make, test, and use conjectures about one-, two-, and three-dimensional figures and their properties.

III.A.3: Recognize and apply right triangle relationships including basic trigonometry.

#### III.B: Transformations and symmetry

III.B.1: Identify and apply transformations to figures.

III.B.2: Identify the symmetries of a plane figure.

III.B.3: Use congruence transformations and dilations to investigate congruence, similarity, and symmetries of plane figures.

### IV: Measurement Reasoning

#### IV.B: Systems of measurement

IV.B.1: Convert from one measurement system to another.

IV.B.2: Convert within a single measurement system.

#### IV.C: Measurement involving geometry and algebra

IV.C.1: Find the perimeter and area of two-dimensional figures.

IV.C.2: Determine the surface area and volume of three-dimensional figures.

IV.C.3: Determine indirect measurements of figures using scale drawings, similar figures, the Pythagorean Theorem, and basic trigonometry.

#### IV.D: Measurement involving statistics and probability

IV.D.1: Compute and use measures of center and spread to describe data.

IV.D.2: Apply probabilistic measures to practical situations to make an informed decision.

### V: Probabilistic Reasoning

#### V.B: Computation and interpretation of probabilities

V.B.1: Compute and interpret the probability of an event and its complement.

V.B.2: Compute and interpret the probability of conditional and compound events.

### VI: Statistical Reasoning

#### VI.A: Data collection

VI.A.1: Plan a study.

#### VI.B: Describe data

VI.B.2: Select and apply appropriate visual representations of data.

VI.B.3: Compute and describe summary statistics of data.

#### VI.C: Read, analyze, interpret, and draw conclusions from data

VI.C.1: Make predictions and draw inferences using summary statistics.

VI.C.2: Analyze data sets using graphs and summary statistics.

VI.C.4: Recognize reliability of statistical results.

### VII: Functions

#### VII.A: Recognition and representation of functions

VII.A.1: Recognize whether a relation is a function.

VII.A.2: Recognize and distinguish between different types of functions.

#### VII.B: Analysis of functions

VII.B.1: Understand and analyze features of a function.

#### VII.C: Model real world situations with functions

VII.C.1: Apply known function models.

VII.C.2: Develop a function to model a situation.

Correlation last revised: 12/13/2018

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