### OA: Operations and Algebraic Thinking

#### OA.B: Analyze patterns and relationships.

OA.B.B.1: Basic students graph the ordered pairs on the coordinate plane given the ordered pairs of a numeric pattern.

OA.B.P.1: Proficient students generate the corresponding terms and identify relationships between the corresponding terms, given two rules.

OA.B.A.1: Advanced students identify and explain features between the corresponding terms of two numerical patterns not explicitly given in the rule.

### NBT: Number and Operations-Base Ten

#### NBT.C: Understand the place-value system.

NBT.C.P.1: Proficient students recognize that given two different digits in a multi-digit number, one digit can represent a multiple of 10 times the digit to its right, and a multiple of 1/10 the digit to its left;

NBT.C.A.1: Advanced students recognize that given two different digits in a multi-digit number, one digit can represent a multiple of 100 times the digit two places to its right, and a multiple of 1/100 times the digit two places to its left;

NBT.C.B.3: Basic students read and write decimal numbers to hundredths;

NBT.C.P.3: Proficient students read and write decimal numbers to thousandths;

NBT.C.A.3: Advanced students read and write decimal numbers past the thousandths place;

NBT.C.B.4: Basic students compare two decimal numbers to hundredths using the symbols >, =, and < to record the results of comparisons;

NBT.C.P.4: Proficient students compare two decimal numbers to thousandths based on the meaning of the digits in each place using the symbols >, =, and < to record the results of comparisons;

#### NBT.D: Perform operations with multi-digit whole numbers and with decimals to the hundredths.

NBT.D.B.1: Basic students multiply a multi-digit whole number by a single-digit whole number using the standard algorithm;

NBT.D.A.1: Advanced students multiply multi-digit whole numbers by whole numbers with three or more digits using the standard algorithm;

NBT.D.B.2: Basic students determine a whole number quotient of a dividend with up to three digits and a one-digit divisor involving whole numbers;

NBT.D.B.3: Basic students add and subtract decimals to the hundredths using concrete models.

NBT.D.P.3: Proficient students use the four operations with decimals to the hundredths using concrete models.

NBT.D.A.3: Advanced students use the four operations with decimals to the hundredths using concrete models and justifying why a method is appropriate.

### NF: Number and Operations-Fractions

#### NF.E: Use equivalent fractions as a strategy to add and subtract fractions.

NF.E.B.1: Basic students add and subtract proper fractions with unlike denominators;

#### NF.F: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

NF.F.P.3: Proficient students solve for the area of a rectangle with fractional side lengths by multiplying and show that tiling a rectangle with unit squares to find the area is the same as multiplying the side lengths of the rectangle;

### MD: Measurement and Data

#### MD.G: Convert like measurement units within a given measurement system.

MD.G.B.1: Basic students convert among different-sized standard measurement units within a given measurement system, given the conversion equivalence and solve one-step mathematical problems requiring one conversion.

MD.G.P.1: Proficient students convert units within a given measurement system requiring one conversion and solve two-step problems in both mathematical and real-world contexts involving these conversions.

#### MD.I: Geometric measurement: understand concepts of volume and relate volume to multiplication and addition.

MD.I.P.1: Proficient students determine volumes by counting improvised units;

MD.I.B.2: Basic students determine the volume of a rectangular prism by counting the number of unit cubes in a rectangular prism;

MD.I.P.2: Proficient students show that counting unit cubes to find the volume of a rectangular prism is the same as multiplying the edge lengths of the prism;

MD.I.A.2: Advanced students show that counting unit cubes to find the volume of a rectangular prism is the same as multiplying the height by the area of the base;

MD.I.B.3: Basic students apply the formula V = l × w × h to find volumes of right rectangular prisms given whole number edge lengths.

MD.I.P.3: Proficient students apply the formula V = l × w × h to find volumes of right rectangular prisms with whole number edge lengths in both mathematical and real-world contexts;

MD.I.A.3: Advanced students apply the formula V = b × h to find volumes of right rectangular prisms with whole number edge lengths in both mathematical and real-world contexts;

### G: Geometry

#### G.J: Graph points on the coordinate plane to solve real-world and mathematical problems.

G.J.B.1: Basic students name the components of a coordinate system;

G.J.P.1: Proficient students describe the components of a coordinate system and understand the use of a coordinate system (1st Quadrant only);

G.J.A.1: Advanced students name, use, and describe the components of a coordinate system (1st Quadrant only);

G.J.B.2: Basic students locate a point in the first quadrant using an ordered pair.

G.J.P.2: Proficient students represent both mathematical and real-world contexts by graphing points in the first quadrant of the coordinate plane.

G.J.A.2: Advanced students interpret coordinate values of points in the context of the situation.

#### G.K: Classify two-dimensional figures into categories based on their properties.

G.K.B.1: Basic students classify two-dimensional figures into basic subcategories.

G.K.P.1: Proficient students classify two-dimensional figures in a hierarchy based on properties.

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.