North Carolina

NC.K.CC Counting and Cardinality

• Know number names and the counting sequence.

  • NC.K.CC.1 Know number names and recognize patterns in the counting sequence by:

    • NC.K.CC.1.a Counting to 100 by ones.

      • Learn to count to 3 (K-A.2)
      • Count pictures - up to 3 (K-A.3)
      • Count on ten frames - up to 3 (K-A.7)
      • Learn to count to 5 (K-B.2)
      • Count pictures - up to 5 (K-B.3)
      • Count on ten frames - up to 5 (K-B.10)
      • Learn to count to 10 (K-C.2)
      • Count pictures - up to 10 (K-C.3)
      • Count dots - up to 10 (K-C.4)
      • Count blocks - up to 10 (K-C.8)
      • Count on ten frames - up to 10 (K-C.12)
      • Count to 20 (K-D.2)
      • Count dots - 0 to 20 (K-D.3)
      • Count on ten frames - up to 20 (K-D.4)
      • Count blocks - up to 20 (K-D.17)
      • Count tens and ones - up to 20 (K-E.1)
      • Count on ten frames - up to 30 (K-F.1)
      • Count to 100 (K-F.3)
      • Counting on the hundred chart (K-F.4)
      • Count blocks - up to 30 (K-F.7)
      • Count tens and ones - up to 30 (K-F.8)
      • Count blocks - up to 100 (K-F.12)

    • NC.K.CC.1.b Counting to 100 by tens.

      • Count groups of ten (K-F.2)
      • Learn to skip-count by tens (K-G.6)
      • Skip-count by tens (K-G.7)

  • NC.K.CC.2 Count forward beginning from a given number within the known sequence, instead of having to begin at 1.

    • Count up - up to 10 (K-C.22)
    • Count forward - up to 10 (K-C.28)
    • Complete a sequence - up to 10 (K-C.31)
    • Count up - up to 20 (K-D.7)
    • Count forward - up to 20 (K-D.12)
    • Complete an increasing sequence - up to 20 (K-D.15)
    • Count forward - up to 30 (K-F.6)
    • Count forward - up to 100 (K-F.10)

  • NC.K.CC.3 Write numbers from 0 to 20. Represent a number of objects with a written numeral 0-20, with 0 representing a count of no objects.

    • Identify numbers - up to 3 (K-A.1)
    • Choose the number that you hear - up to 3 (K-A.)
    • Count pictures - up to 3 (K-A.3)
    • Count on ten frames - up to 3 (K-A.7)
    • Identify numbers - up to 5 (K-B.1)
    • Choose the number that you hear - up to 5 (K-B.)
    • Count pictures - up to 5 (K-B.3)
    • Count dots - 0 to 5 (K-B.8)
    • Count on ten frames - up to 5 (K-B.10)
    • Identify numbers - up to 10 (K-C.1)
    • Choose the number that you hear - up to 10 (K-C.)
    • Count pictures - up to 10 (K-C.3)
    • Count dots - up to 10 (K-C.4)
    • Count blocks - up to 10 (K-C.8)
    • Count on ten frames - up to 10 (K-C.12)
    • Names of numbers - up to 10 (K-C.30)
    • Identify numbers - up to 20 (K-D.1)
    • Count to 20 (K-D.2)
    • Count dots - 0 to 20 (K-D.3)
    • Count on ten frames - up to 20 (K-D.4)
    • Names of numbers - up to 20 (K-D.14)
    • Count blocks - up to 20 (K-D.17)

• Count to tell the number of objects.

  • NC.K.CC.4 Understand the relationship between numbers and quantities.

    • NC.K.CC.4.a When counting objects, say the number names in the standard order, pairing each object with one and only one number name and each number name with one and only one object (one-to-one correspondence).

      • Learn to count to 3 (K-A.2)
      • Count pictures - up to 3 (K-A.3)
      • Count using stickers - up to 3 (K-A.5)
      • Count on ten frames - up to 3 (K-A.7)
      • Show numbers on ten frames - up to 3 (K-A.8)
      • Learn to count to 5 (K-B.2)
      • Count pictures - up to 5 (K-B.3)
      • Count using stickers - up to 5 (K-B.6)
      • Count on ten frames - up to 5 (K-B.10)
      • Show numbers on ten frames - up to 5 (K-B.11)
      • Learn to count to 10 (K-C.2)
      • Count pictures - up to 10 (K-C.3)
      • Count dots - up to 10 (K-C.4)
      • Count using stickers - up to 10 (K-C.9)
      • Count on ten frames - up to 10 (K-C.12)
      • Show numbers on ten frames - up to 10 (K-C.13)
      • Count to 20 (K-D.2)
      • Count dots - 0 to 20 (K-D.3)
      • Count on ten frames - up to 20 (K-D.4)
      • Show numbers on ten frames - up to 20 (K-D.5)

    • NC.K.CC.4.b Recognize that the last number named tells the number of objects counted regardless of their arrangement (cardinality).

      • Learn to count to 3 (K-A.2)
      • Represent numbers with pictures - up to 3 (K-A.9)
      • Learn to count to 5 (K-B.2)
      • Represent numbers with pictures - up to 5 (K-B.12)
      • Represent numbers with pictures - 0 to 5 (K-B.)
      • Learn to count to 10 (K-C.2)
      • Represent numbers - up to 10 (K-C.14)
      • Represent numbers - up to 20 (K-D.6)

    • NC.K.CC.4.c State the number of objects in a group, of up to 5 objects, without counting the objects (perceptual subitizing).

      • One more with pictures - up to 5 (K-B.14)
      • One more on frames - up to 5 (K-B.15)
      • One more - up to 5 (K-B.16)
      • One more with pictures - up to 10 (K-C.15)
      • One more on frames - up to 10 (K-C.16)
      • One more - up to 10 (K-C.17)
      • One more - up to 20 (K-D.)

  • NC.K.CC.5 Count to answer "How many?" in the following situations:

    • NC.K.CC.5.a Given a number from 1–20, count out that many objects.

      • Count using stickers - up to 3 (K-A.5)
      • Show numbers on ten frames - up to 3 (K-A.8)
      • Count using stickers - up to 5 (K-B.6)
      • Show numbers with cubes - up to 5 (K-B.9)
      • Show numbers on ten frames - up to 5 (K-B.11)
      • Count using stickers - up to 10 (K-C.9)
      • Show numbers with cubes - up to 10 (K-C.11)
      • Show numbers on ten frames - up to 10 (K-C.13)
      • Show numbers on ten frames - up to 20 (K-D.5)

    • NC.K.CC.5.b Given up to 20 objects, name the next successive number when an object is added, recognizing the quantity is one more/greater.

      • One more with pictures - up to 5 (K-B.14)
      • One more on frames - up to 5 (K-B.15)
      • One more with pictures - up to 10 (K-C.15)
      • One more on frames - up to 10 (K-C.16)

    • NC.K.CC.5.c Given 20 objects arranged in a line, a rectangular array, and a circle, identify how many.

      • Count on ten frames - up to 3 (K-A.7)
      • Count shapes in rows - up to 5 (K-B.4)
      • Count cubes - up to 5 (K-B.7)
      • Count on ten frames - up to 5 (K-B.10)
      • Count shapes in rows - up to 10 (K-C.5)
      • Count shapes in rings - up to 10 (K-C.7)
      • Count cubes - up to 10 (K-C.10)
      • Count on ten frames - up to 10 (K-C.12)
      • Count dots - 0 to 20 (K-D.3)
      • Count on ten frames - up to 20 (K-D.4)

    • NC.K.CC.5.d Given 10 objects in a scattered arrangement, identify how many.

      • Count pictures - up to 3 (K-A.3)
      • Count shapes - up to 3 (K-A.4)
      • Count pictures - up to 5 (K-B.3)
      • Count scattered shapes - up to 5 (K-B.5)
      • Count pictures - up to 10 (K-C.3)
      • Count dots - up to 10 (K-C.4)
      • Count scattered shapes - up to 10 (K-C.6)

• Compare numbers.

  • NC.K.CC.6 Identify whether the number of objects, within 10, in one group is greater than, less than, or equal to the number of objects in another group, by using matching and counting strategies.

    • Fewer and more - compare by matching (K-H.1)
    • Fewer and more - compare by counting (K-H.2)
    • Fewer and more - compare in a mixed group (K-H.3)
    • Fewer, more, and same (K-H.4)
    • Are there enough? (K-H.5)

  • NC.K.CC.7 Compare two numbers, within 10, presented as written numerals.

    • Compare two numbers - up to 10 (K-H.6)

NC.K.OA Operations and Algebraic Thinking

• Understand addition and subtraction.

  • NC.K.OA.1 Represent addition and subtraction, within 10:

    • NC.K.OA.1.a Use a variety of representations such as objects, fingers, mental images, drawings, sounds, acting out situations, verbal explanations, or expressions.

      • Add with cubes - sums up to 5 (K-J.4)
      • Add with pictures - sums up to 5 (K-J.6)
      • Add two numbers - sums up to 5 (K-J.10)
      • Add with cubes - sums up to 10 (K-K.6)
      • Add with pictures - sums up to 10 (K-K.8)
      • Add two numbers - sums up to 10 (K-K.13)
      • Subtract with cubes - numbers up to 5 (K-L.2)
      • Subtract with pictures - numbers up to 5 (K-L.3)
      • Subtract - numbers up to 5 (K-L.6)
      • Subtract with cubes - numbers up to 10 (K-M.2)
      • Subtract with pictures - numbers up to 10 (K-M.3)
      • Subtract - numbers up to 10 (K-M.6)

    • NC.K.OA.1.b Demonstrate understanding of addition and subtraction by making connections among representations.

      • Addition sentences up to 5 - which model matches? (K-J.7)
      • Addition sentences up to 5 - what does the model show? (K-J.8)
      • Addition sentences up to 10 - which model matches? (K-K.9)
      • Addition sentences up to 10 - what does the model show? (K-K.10)
      • Turn words into an addition sentence - sums up to 10 (K-K.17)
      • Subtraction sentences up to 5 - which model matches? (K-L.4)
      • Subtraction sentences up to 10 - which model matches? (K-M.4)
      • Turn words into a subtraction sentence - numbers up to 10 (K-M.9)

  • NC.K.OA.2 Solve addition and subtraction word problems, within 10, using objects or drawings to represent the problem, when solving:

    • NC.K.OA.2.a Add to/Take From-Result Unknown

      • Addition word problems with pictures - sums up to 5 (K-J.13)
      • Addition word problems - sums up to 5 (K-J.14)
      • Addition word problems with pictures - sums up to 10 (K-K.18)
      • Addition word problems - sums up to 10 (K-K.19)
      • Subtraction word problems with pictures - numbers up to 5 (K-L.9)
      • Subtraction word problems - numbers up to 5 (K-L.10)
      • Subtraction word problems with pictures - numbers up to 10 (K-M.10)
      • Subtraction word problems - numbers up to 10 (K-M.11)

    • NC.K.OA.2.b Put Together/ Take Apart (Total Unknown and Two Addends Unknown)

      • Addition word problems - sums up to 5 (K-J.14)
      • Addition word problems - sums up to 10 (K-K.19)

  • NC.K.OA.3 Decompose numbers less than or equal to 10 into pairs in more than one way using objects or drawings, and record each decomposition by a drawing or expression.

    • Take apart numbers using cubes - sums up to 5 (K-J.3)
    • Take apart numbers up to 5 - addition sentences (K-J.9)
    • Make a number using addition - sums up to 5 (K-J.11)
    • Complete the addition sentence - sums up to 5 (K-J.12)
    • Take apart numbers using cubes - sums up to 10 (K-K.3)
    • Decompose a number up to 10 (K-K.5)
    • Take apart numbers up to 10 - addition sentences (K-K.11)
    • Make a number using addition - sums up to 10 (K-K.14)
    • Complete the addition sentence - sums up to 10 (K-K.16)

  • NC.K.OA.4 For any number from 0 to 10, find the number that makes 10 when added to the given number using objects or drawings, and record the answer with a drawing or expression.

    • Count to fill a ten frame (K-C.24)
    • Take apart 10 using cubes (K-K.4)
    • Take apart 10 - addition sentences (K-K.12)
    • Complete the addition sentence - make 10 (K-K.15)

  • NC.K.OA.5 Demonstrate fluency with addition and subtraction within 5.

    • Add two numbers - sums up to 5 (K-J.10)
    • Make a number using addition - sums up to 5 (K-J.11)
    • Complete the addition sentence - sums up to 5 (K-J.12)
    • Subtract - numbers up to 5 (K-L.6)
    • Make a number using subtraction - numbers up to 5 (K-L.7)
    • Complete the subtraction sentence - numbers up to 5 (K-L.8)

  • NC.K.OA.6 Recognize and combine groups with totals up to 5 (conceptual subitizing).

    • Add with cubes - sums up to 5 (K-J.4)
    • Add with pictures - sums up to 5 (K-J.6)

NC.K.NBT Number and Operations in Base Ten

• Build foundation for place value.

  • NC.K.NBT.1 Compose and decompose numbers from 11 to 19 into ten ones and some further ones by:

    • NC.K.NBT.1.a Using objects or drawings.

      • Count tens and ones - up to 20 (K-E.1)

    • NC.K.NBT.1.b Recording each composition or decomposition by a drawing or expression.

      • Write tens and ones - up to 20 (K-E.2)

    • NC.K.NBT.1.c Understanding that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

NC.K.MD Measurement and Data

• Describe and compare measurable attributes.

  • NC.K.MD.1 Describe measurable attributes of objects; and describe several different measurable attributes of a single object.

    • Long and short (K-U.1)
    • Tall and short (K-U.2)
    • Light and heavy (K-U.4)
    • Holds more or less (K-U.5)
    • Compare size, weight, and capacity (K-U.6)

  • NC.K.MD.2 Directly compare two objects with a measurable attribute in common, to see which object has "more of"/"less of" the attribute, and describe the difference.

    • Long and short (K-U.1)
    • Tall and short (K-U.2)
    • Wide and narrow (K-U.3)
    • Light and heavy (K-U.4)
    • Holds more or less (K-U.5)
    • Compare size, weight, and capacity (K-U.6)

• Classify objects and count the number of objects in each category.

  • NC.K.MD.3 Classify objects into given categories; count the numbers of objects in each category and sort the categories by count.

    • Fewer and more - compare by counting (K-H.2)
    • Fewer and more - compare in a mixed group (K-H.3)
    • Different (K-R.1)
    • Same (K-R.2)
    • Same and different (K-R.3)
    • Classify shapes by color (K-R.4)
    • Classify and sort by color (K-R.5)
    • Classify and sort by shape (K-R.6)
    • Classify and sort (K-R.7)
    • Classify, sort, and count (K-R.8)
    • Count shapes in a Venn diagram (K-R.9)
    • Sort shapes into a Venn diagram (K-R.10)

NC.K.G Geometry

• Identify and describe shapes.

  • NC.K.G.1 Describe objects in the environment using names of shapes, and describe the relative positions of objects using positional terms.

    • Inside and outside (K-O.1)
    • Left, middle, and right (K-O.2)
    • Top, middle, and bottom (K-O.3)
    • Location in a grid (K-O.4)
    • Above and below (K-O.5)
    • Above and below - find solid figures (K-O.6)
    • Beside and next to (K-O.7)
    • Beside and next to - find solid figures (K-O.8)
    • Shapes of everyday objects I (K-X.9)
    • Shapes of everyday objects II (K-X.10)

  • NC.K.G.2 Correctly name squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres regardless of their orientations or overall size.

    • Name the two-dimensional shape (K-W.1)
    • Circles (K-W.2)
    • Triangles (K-W.3)
    • Squares (K-W.4)
    • Rectangles (K-W.5)
    • Hexagons (K-W.6)
    • Select two-dimensional shapes (K-W.7)
    • Sort circles (K-W.)
    • Sort two-dimensional shapes (K-W.)
    • Name the three-dimensional shape (K-X.2)
    • Spheres (K-X.3)
    • Cubes (K-X.4)
    • Cones (K-X.5)
    • Cylinders (K-X.6)
    • Select three-dimensional shapes (K-X.7)

  • NC.K.G.3 Identify squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres as two-dimensional or three-dimensional.

    • Flat and solid shapes (K-X.1)

• Analyze, compare, create, and compose shapes.

  • NC.K.G.4 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe their similarities, differences, attributes and other properties.

    • Select two-dimensional shapes (K-W.7)
    • Curved parts (K-W.8)
    • Count corners (K-W.9)
    • Square corners (K-W.10)
    • Count sides (K-W.11)
    • Equal sides (K-W.12)
    • Count sides and corners (K-W.13)
    • Compare sides and corners (K-W.14)
    • Flat and solid shapes (K-X.1)
    • Name the three-dimensional shape (K-X.2)
    • Select three-dimensional shapes (K-X.7)
    • Identify shapes traced from solids (K-X.8)

  • NC.K.G.5 Model shapes in the world by:

    • NC.K.G.5.a Building and drawing triangles, rectangles, squares, hexagons, circles.

    • NC.K.G.5.b Building cubes, cones, spheres, and cylinders.

  • NC.K.G.6 Compose larger shapes from simple shapes.

    • Compose two-dimensional shapes (K-W.17)