### NBT: Number Sense and Operations in Base Ten

#### NBT.A: Use place value understanding and properties of operations to perform multi-digit arithmetic.

NBT.A.1: Round whole numbers to the nearest 10 or 100.

NBT.A.2: Read, write and identify whole numbers within 100,000 using base ten numerals, number names and expanded form.

NBT.A.3: Demonstrate fluency with addition and subtraction within 1000.

### NF: Number Sense and Operations in Fractions

#### NF.A: Develop understanding of fractions as numbers.

NF.A.1: Understand a unit fraction as the quantity formed by one part when a whole is partitioned into equal parts.

NF.A.2: Understand that when a whole is partitioned equally, a fraction can be used to represent a portion of the whole.

NF.A.2.a: Describe the numerator as representing the number of pieces being considered.

NF.A.2.b: Describe the denominator as the number of pieces that make the whole.

NF.A.3: Represent fractions on a number line.

NF.A.3.a: Understand the whole is the interval from 0 to 1.

NF.A.3.b: Understand the whole is partitioned into equal parts.

NF.A.3.c: Understand a fraction represents the endpoint of the length a given number of partitions from 0.

NF.A.4: Demonstrate that two fractions are equivalent if they are the same size, or the same point on a number line.

NF.A.5: Recognize and generate equivalent fractions using visual models, and justify why the fractions are equivalent.

NF.A.6: Compare two fractions with the same numerator or denominator using the symbols >, = or <, and justify the solution.

NF.A.7: Explain why fraction comparisons are only valid when the two fractions refer to the same whole.

### RA: Relationships and Algebraic Thinking

#### RA.A: Represent and solve problems involving multiplication and division.

RA.A.1: Interpret products of whole numbers.

RA.A.2: Interpret quotients of whole numbers.

RA.A.3: Describe in words or drawings a problem that illustrates a multiplication or division situation.

RA.A.4: Use multiplication and division within 100 to solve problems.

RA.A.5: Determine the unknown number in a multiplication or division equation relating three whole numbers.

#### RA.C: Multiply and divide within 100.

RA.C.1: Multiply and divide with numbers and results within 100 using strategies such as the relationship between multiplication and division or properties of operations. Know all products of two one-digit numbers.

RA.C.2: Demonstrate fluency with products within 100.

#### RA.D: Use the four operations to solve word problems.

RA.D.1: Write and solve two-step problems involving variables using any of the four operations.

RA.D.2: Interpret the reasonableness of answers using mental computation and estimation strategies including rounding.

#### RA.E: Identify and explain arithmetic patterns.

RA.E.1: Identify arithmetic patterns and explain the patterns using properties of operations.

### GM: Geometry and Measurement

#### GM.A: Reason with shapes and their attributes.

GM.A.1: Understand that shapes in different categories may share attributes and that the shared attributes can define a larger category.

GM.A.2: Distinguish rhombuses and rectangles as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to these subcategories.

GM.A.3: Partition shapes into parts with equal areas, and express the area of each part as a unit fraction of the whole.

#### GM.B: Solve problems involving the measurement of time, liquid volumes and weights of objects.

GM.B.1: Tell and write time to the nearest minute.

GM.B.3: Solve problems involving addition and subtraction of minutes.

GM.B.4: Measure or estimate length, liquid volume and weight of objects.

GM.B.5: Use the four operations to solve problems involving lengths, liquid volumes or weights given in the same units.

#### GM.C: Understand concepts of area.

GM.C.1: Calculate area by using unit squares to cover a plane figure with no gaps or overlaps.

GM.C.3: Demonstrate that tiling a rectangle to find the area and multiplying the side lengths result in the same value.

GM.C.4: Multiply whole-number side lengths to solve problems involving the area of rectangles.

GM.C.5: Find rectangular arrangements that can be formed for a given area.

GM.C.6: Decompose a rectangle into smaller rectangles to find the area of the original rectangle.

#### GM.D: Understand concepts of perimeter.

GM.D.1: Solve problems involving perimeters of polygons.

GM.D.2: Understand that rectangles can have equal perimeters but different areas, or rectangles can have equal areas but different perimeters.

### DS: Data and Statistics

#### DS.A: Represent and analyze data.

DS.A.1: Create frequency tables, scaled picture graphs and bar graphs to represent a data set with several categories.

DS.A.2: Solve one- and two-step problems using information presented in bar and/or picture graphs.

DS.A.3: Create a line plot to represent data.

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.