### NC.4.OA: Operations and Algebraic Thinking

#### (Framing Text): Represent and solve problems involving multiplication and division.

NC.4.OA.1: Interpret a multiplication equation as a comparison. Multiply or divide to solve word problems involving multiplicative comparisons using models and equations with a symbol for the unknown number. Distinguish multiplicative comparison from additive comparison.

#### (Framing Text): Use the four operations with whole numbers to solve problems.

NC.4.OA.3: Solve two-step word problems involving the four operations with whole numbers.

NC.4.OA.3.a: Use estimation strategies to assess reasonableness of answers.

#### (Framing Text): Gain familiarity with factors and multiples.

NC.4.OA.4: Find all factor pairs for whole numbers up to and including 50 to:

NC.4.OA.4.a: Recognize that a whole number is a multiple of each of its factors.

NC.4.OA.4.c: Determine if the number is prime or composite.

#### (Framing Text): Generate and analyze patterns.

NC.4.OA.5: Generate and analyze a number or shape pattern that follows a given rule.

### NC.4.NBT: Number and Operations in Base Ten

#### (Framing Text): Use place value understanding and properties of operations to perform multi-digit arithmetic.

NC.4.NBT.5: Multiply a whole number of up to three digits by a one-digit whole number, and multiply up to two two-digit numbers with place value understanding using area models, partial products, and the properties of operations. Use models to make connections and develop the algorithm.

NC.4.NBT.6: Find whole-number quotients and remainders with up to three-digit dividends and one-digit divisors with place value understanding using rectangular arrays, area models, repeated subtraction, partial quotients, properties of operations, and/or the relationship between multiplication and division.

### NC.4.NF: Number and Operations – Fractions

#### (Framing Text): Extend understanding of fractions.

NC.4.NF.1: Explain why a fraction is equivalent to another fraction by using area and length fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size.

#### (Framing Text): Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

NC.4.NF.3: Understand and justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.

NC.4.NF.3.a: Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

NC.4.NF.3.c: Add and subtract fractions, including mixed numbers with like denominators, by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.

#### (Framing Text): Use unit fractions to understand operations of fractions.

NC.4.NF.4: Apply and extend previous understandings of multiplication to:

NC.4.NF.4.a: Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than one.

#### (Framing Text): Understand decimal notation for fractions, and compare decimal fractions.

NC.4.NF.6: Use decimal notation to represent fractions.

NC.4.NF.6.a: Express, model and explain the equivalence between fractions with denominators of 10 and 100.

NC.4.NF.6.c: Represent tenths and hundredths with models, making connections between fractions and decimals.

### NC.4.MD: Measurement and Data

#### (Framing Text): Solve problems involving measurement.

NC.4.MD.1: Know relative sizes of measurement units. Solve problems involving metric measurement.

NC.4.MD.1.a: Measure to solve problems involving metric units: centimeter, meter, gram, kilogram, Liter, milliliter.

NC.4.MD.2: Use multiplicative reasoning to convert metric measurements from a larger unit to a smaller unit using place value understanding, two-column tables, and length models.

NC.4.MD.8: Solve word problems involving addition and subtraction of time intervals that cross the hour.

#### (Framing Text): Solve problems involving area and perimeter.

NC.4.MD.3: Solve problems with area and perimeter.

NC.4.MD.3.a: Find areas of rectilinear figures with known side lengths.

#### (Framing Text): Represent and interpret data.

NC.4.MD.4: Represent and interpret data using whole numbers.

NC.4.MD.4.a: Collect data by asking a question that yields numerical data.

NC.4.MD.4.b: Make a representation of data and interpret data in a frequency table, scaled bar graph, and/or line plot.

### NC.4.G: Geometry

#### (Framing Text): Classify shapes based on lines and angles in two-dimensional figures.

NC.4.G.1: Draw and identify points, lines, line segments, rays, angles, and perpendicular and parallel lines.

NC.4.G.2: Classify quadrilaterals and triangles based on angle measure, side lengths, and the presence or absence of parallel or perpendicular lines.

NC.4.G.3: Recognize symmetry in a two-dimensional figure, and identify and draw lines of symmetry.

Correlation last revised: 1/22/2020

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