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

#### N.1: In the real number system, positive rational numbers are represented in multiple equivalent forms

N.1.a: Read, write, compare, convert and order positive rational numbers in a variety of forms including proper and improper fractions, mixed numbers, decimals, and percents

N.1.b: Express whole numbers as products of prime factors with exponents and use prime factorization to find the greatest common factor and least common multiple of two numbers

N.1.d: Locate positive fractions and decimals on a number line

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

N.2.a: Model and compute the addition, subtraction, multiplication and division of positive fractions, decimals, and combinations of fractions and decimals

N.2.b: Solve multi-step word problems involving fractions, decimals and whole numbers

N.2.c: Estimate sums, differences, products and quotients of rational numbers using common fractions, common decimals, and whole numbers

N.2.d: Compare and round positive numbers from thousandths through millions

#### N.3: Quantities can be expressed and compared using ratios and rates

N.3.b: Express the comparison of two whole number quantities using differences, part-to-part ratios, and part-to-whole ratios in real contexts, including investing and saving

N.3.c: Compute unit rates in real-world situations involving mixtures, concentrations, and distance-time relationships

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

#### P.1: Patterns can be described using words, tables, and graphs

P.1.a: Extend the pattern and describe the rule for arithmetic and geometric sequences

P.1.b: Model linear situations using tables and graphs, and convert between these two representations

P.1.c: Given a linear equation, substitute non-negative input values to create a table and graph coordinate points in the first quadrant

#### P.2: Variables are used to represent unknown quantities

P.2.a: Describe patterns by using words and variables with mathematical symbols

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

#### D.1: Questions can be answered by collecting and analyzing data and data displays

D.1.a: Formulate questions for populations larger than the classroom

D.1.b: Recognize that a sample may not represent a population accurately

D.1.c: Recognize bias in surveys

D.1.d: Utilize appropriate techniques to design a random sample

#### D.2: Mathematical models are used to determine probability

D.2.a: Determine probabilities through experiments or simulations

D.2.b: Express the probability of an event using fractions, decimals, and percents

D.2.c: Make a table, tree diagram or an organized list to determine possible outcomes of two or more compound events

D.2.d: Predict outcomes of events using experimental and theoretical probabilities

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

#### S.1: Polygons can be described, classified, and analyzed by their attributes

S.1.a: Develop and apply formulas and procedures for finding area of triangles, parallelograms, and trapezoids

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

#### S.2: Standard units provide common language for communicating measurements

S.2.a: Connect metric prefixes to place value

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.