### N: Number Sense, Properties, and Operations

#### N.1: In the real number system, rational and irrational numbers are in one to one correspondence to points on the number line

N.1.a: Compare and order sets of integers and rational numbers that are expressed as fractions, decimals, or percents

N.1.b: Given a whole number from 0 - 100, determine whether it is a perfect square or find the two consecutive whole numbers between which its square root lies

#### N.2: Formulate, represent, and use algorithms with rational numbers flexibly, accurately, and efficiently

N.2.a: Add, subtract, multiply and divide rational numbers including integers, positive and negative fractions and decimals

N.2.b: Apply computational methods to solve multi-step application problems involving percents and rational numbers

### P: Patterns, Functions, and Algebraic Structures

#### P.1: Linear functions model situations with a constant rate of change and can be represented algebraically, graphically, and using tables

P.1.a: Convert from one representation of a linear function to another, including situations, tables, equations (slope-intercept form), and graphs

P.1.b: Use representations of linear functions to analyze situations and solve problems

P.1.d: Identify and interpret the slope (rate of change) and y-intercept in graphs, in tables, and from equations in slope-intercept form

P.1.e: Model and graph two linear equations in slope-intercept form on the same coordinate plane and interpret the point of intersection as the solution to the system of equations

#### P.2: Properties of algebra, equality, and inequality are used to solve linear equations and inequalities

P.2.a: Use the distributive, associative, and commutative properties to simplify algebraic expressions

P.2.b: Solve one-variable equations including those involving multiple steps, rational numbers, variables on both sides, and the distributive property

P.2.c: Solve inequalities in one variable including negative coefficients and graph the solution on a number line

P.2.d: Represent the distributive property in a variety of ways including numerically, geometrically, and algebraically

#### P.3: Graphs and tables can be used to distinguish between linear and nonlinear functions

P.3.a: Given a table or graph determine if the function is linear

P.3.b: Explain the properties of linear functions in tables and graphs

### D: Data Analysis, Statistics, and Probability

#### D.1: Visual displays and summary statistics of two-variable data condense the information in data sets into usable knowledge

D.1.a: Given a scatter plot, calculate quadrant count ratio to quantify the magnitude and strength of the association between two variables for numeric data as positive, negative, or no correlation

D.1.b: Given a scatter plot suggesting a linear relationship, draw a line of fit to make predictions

### S: Shape, Dimension, and Geometric Relationships

#### S.1: Objects in the plane and their parts and attributes can be analyzed

S.1.a: Classify quadrilaterals and apply angle and side properties, including the sum of the interior angles

S.1.b: Apply properties of complementary, supplementary, and vertical angle relationships

S.1.c: Apply properties of parallel lines including corresponding angles and alternate interior angles

#### S.2: Direct and indirect measurements can be used to describe and make comparisons

S.2.a: Use properties of similar triangles to find unknown lengths

S.2.b: Use the Pythagorean Theorem to find unknown lengths in right triangles

S.2.d: Use proportional reasoning to convert among measures including dimensional analysis

Correlation last revised: 5/9/2018

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