### NC.3.OA: Operations and Algebraic Thinking

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

NC.3.OA.1: For products of whole numbers with two factors up to and including 10:

NC.3.OA.1.a: Interpret the factors as representing the number of equal groups and the number of objects in each group.

NC.3.OA.1.b: Illustrate and explain strategies including arrays, repeated addition, decomposing a factor, and applying the commutative and associative properties.

NC.3.OA.2: For whole-number quotients of whole numbers with a one-digit divisor and a one-digit quotient:

NC.3.OA.2.a: Interpret the divisor and quotient in a division equation as representing the number of equal groups and the number of objects in each group.

NC.3.OA.2.b: Illustrate and explain strategies including arrays, repeated addition or subtraction, and decomposing a factor.

NC.3.OA.3: Represent, interpret, and solve one-step problems involving multiplication and division.

NC.3.OA.3.a: Solve multiplication word problems with factors up to and including 10. Represent the problem using arrays, pictures, and/or equations with a symbol for the unknown number to represent the problem.

NC.3.OA.3.b: Solve division word problems with a divisor and quotient up to and including 10. Represent the problem using arrays, pictures, repeated subtraction and/or equations with a symbol for the unknown number to represent the problem.

#### (Framing Text): Understand properties of multiplication and the relationship between multiplication and division.

NC.3.OA.6: Solve an unknown-factor problem, by using division strategies and/or changing it to a multiplication problem.

#### (Framing Text): Multiply and divide within 100.

NC.3.OA.7: Demonstrate fluency with multiplication and division with factors, quotients and divisors up to and including 10.

NC.3.OA.7.a: Know from memory all products with factors up to and including 10.

NC.3.OA.7.b: Illustrate and explain using the relationship between multiplication and division.

NC.3.OA.7.c: Determine the unknown whole number in a multiplication or division equation relating three whole numbers.

#### (Framing Text): Solve two-step problems.

NC.3.OA.8: Solve two-step word problems using addition, subtraction, and multiplication, representing problems using equations with a symbol for the unknown number.

#### (Framing Text): Explore patterns of numbers.

NC.3.OA.9: Interpret patterns of multiplication on a hundreds board and/or multiplication table.

### NC.3.NBT: Number and Operations in Base Ten

#### (Framing Text): Use place value to add and subtract.

NC.3.NBT.2: Add and subtract whole numbers up to and including 1,000.

NC.3.NBT.2.a: Use estimation strategies to assess reasonableness of answers.

NC.3.NBT.2.b: Model and explain how the relationship between addition and subtraction can be applied to solve addition and subtraction problems.

NC.3.NBT.2.c: Use expanded form to decompose numbers and then find sums and differences.

### NC.3.NF: Number and Operations – Fractions

#### (Framing Text): Understand fractions as numbers.

NC.3.NF.1: Interpret unit fractions with denominators of 2, 3, 4, 6, and 8 as quantities formed when a whole is partitioned into equal parts;

NC.3.NF.1.a: Explain that a unit fraction is one of those parts.

NC.3.NF.2: Interpret fractions with denominators of 2, 3, 4, 6, and 8 using area and length models.

NC.3.NF.2.b: Using a number line, explain that the numerator of a fraction represents the number of lengths of the unit fraction from 0.

NC.3.NF.3: Represent equivalent fractions with area and length models by:

NC.3.NF.3.a: Composing and decomposing fractions into equivalent fractions using related fractions: halves, fourths and eighths; thirds and sixths.

NC.3.NF.3.b: Explaining that a fraction with the same numerator and denominator equals one whole.

NC.3.NF.3.c: Expressing whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

NC.3.NF.4: Compare two fractions with the same numerator or the same denominator by reasoning about their size, using area and length models, and using the >, <, and = symbols. Recognize that comparisons are valid only when the two fractions refer to the same whole with denominators: halves, fourths and eighths; thirds and sixths.

### NC.3.MD: Measurement and Data

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

NC.3.MD.1: Tell and write time to the nearest minute. Solve word problems involving addition and subtraction of time intervals within the same hour.

NC.3.MD.2: Solve problems involving customary measurement.

NC.3.MD.2.a: Estimate and measure lengths in customary units to the quarter-inch and half-inch, and feet and yards to the whole unit.

NC.3.MD.2.b: Estimate and measure capacity and weight in customary units to a whole number: cups, pints, quarts, gallons, ounces, and pounds.

NC.3.MD.2.c: Add, subtract, multiply, or divide to solve one-step word problems involving whole number measurements of length, weight, and capacity in the same customary units.

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

NC.3.MD.3: Represent and interpret scaled picture and bar graphs:

NC.3.MD.3.a: Collect data by asking a question that yields data in up to four categories.

NC.3.MD.3.b: Make a representation of data and interpret data in a frequency table, scaled picture graph, and/or scaled bar graph with axes provided.

NC.3.MD.3.c: Solve one and two-step “how many more” and “how many less” problems using information from these graphs.

#### (Framing Text): Understand the concept of area.

NC.3.MD.5: Find the area of a rectangle with whole-number side lengths by tiling without gaps or overlaps and counting unit squares.

NC.3.MD.7: Relate area to the operations of multiplication and addition.

NC.3.MD.7.a: Find the area of a rectangle with whole-number side lengths by tiling it, and show that the area is the same as would be found by multiplying the side lengths.

NC.3.MD.7.b: Multiply side lengths to find areas of rectangles with whole-number side lengths in the context of solving problems, and represent whole-number products as rectangular areas in mathematical reasoning.

NC.3.MD.7.c: Use tiles and/or arrays to illustrate and explain that the area of a rectangle can be found by partitioning it into two smaller rectangles, and that the area of the large rectangle is the sum of the two smaller rectangles.

#### (Framing Text): Understand the concept of perimeter.

NC.3.MD.8: Solve problems involving perimeters of polygons, including finding the perimeter given the side lengths, and finding an unknown side length.

### NC.3.G: Geometry

#### (Framing Text): Reason with shapes and their attributes.

NC.3.G.1: Reason with two-dimensional shapes and their attributes.

NC.3.G.1.b: Recognize and draw examples and non-examples of types of quadrilaterals including rhombuses, rectangles, squares, parallelograms, and trapezoids.

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.