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

- 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.

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

- 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.

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

- 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

- 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.NBT.2 Add and subtract whole numbers up to and including 1,000.
- Generalize place value understanding for multi-digit numbers.
- NC.3.NBT.3 Use concrete and pictorial models, based on place value and the properties of operations, to find the product of a one-digit whole number by a multiple of 10 in the range 10–90.

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

- 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.1.b Represent and identify unit fractions using area and length models.

- NC.3.NF.2 Interpret fractions with denominators of 2, 3, 4, 6, and 8 using area and length models.
- NC.3.NF.2.a Using an area model, explain that the numerator of a fraction represents the number of equal parts of the unit fraction.
- 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.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.MD Measurement and Data

- 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.

- 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.

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

- 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

- Reason with shapes and their attributes.
- NC.3.G.1 Reason with two-dimensional shapes and their attributes.
- NC.3.G.1.a Investigate, describe, and reason about composing triangles and quadrilaterals and decomposing quadrilaterals.
- NC.3.G.1.b Recognize and draw examples and non-examples of types of quadrilaterals including rhombuses, rectangles, squares, parallelograms, and trapezoids.

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