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-B.1)
      • Count pictures - up to 3 (K-B.2)
      • Count on frames - up to 3 (K-B.5)
      • Learn to count to 5 (K-D.1)
      • Count pictures - up to 5 (K-D.2)
      • Count dots - 0 to 5 (K-D.5)
      • Count on frames - up to 5 (K-D.6)
      • What number comes next? - up to 5 (K-D.17)
      • Learn to count to 10 (K-J.1)
      • Count pictures - up to 10 (K-J.2)
      • Count dots - up to 10 (K-J.4)
      • Count on ten frames - up to 10 (K-J.6)
      • Count blocks - up to 10 (K-J.7)
      • What number comes next? - up to 10 (K-L.1)
      • Count pictures - up to 20 (K-EE.4)
      • Count dots - 0 to 20 (K-EE.5)
      • Count on ten frames - up to 20 (K-EE.6)
      • Count blocks - up to 20 (K-EE.7)
      • Count on a chart - up to 20 (K-GG.1)
      • Understand tens and ones - up to 20 (K-II.5)
      • Count on ten frames - up to 30 (K-JJ.1)
      • Count on a chart - up to 30 (K-JJ.2)
      • Count blocks - up to 30 (K-JJ.5)
      • Understand tens and ones - up to 30 (K-JJ.6)
      • Count pictures - up to 100 (K-LL.3)
      • Count blocks - up to 100 (K-LL.4)
      • Count on the hundred chart (K-LL.5)

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

      • Learn to skip-count by tens (K-KK.1)
      • Skip-count by tens (K-KK.2)
      • Count groups of ten (K-KK.3)

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

    • Count up to find the next number - up to 5 (K-D.15)
    • Count up to find the next number - up to 10 (K-L.2)
    • Count forward - up to 10 (K-L.8)
    • Complete a sequence - up to 10 (K-L.10)
    • Count up to find the next number - up to 20 (K-GG.2)
    • Count forward - up to 20 (K-GG.6)
    • Complete an increasing sequence - up to 20 (K-GG.9)
    • Count forward - up to 30 (K-JJ.4)
    • Count forward on the hundred chart (K-LL.6)
    • Count up to find the next number - up to 100 (K-LL.7)
    • Count forward - up to 100 (K-LL.8)

  • 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.2)
    • Count pictures - up to 3 (K-B.2)
    • Count on frames - up to 3 (K-B.5)
    • Identify numbers - 0 to 5 (K-C.3)
    • Choose the number that you hear - 0 to 5 (K-C.4)
    • Count pictures - up to 5 (K-D.2)
    • Count dots - 0 to 5 (K-D.5)
    • Count on frames - up to 5 (K-D.6)
    • Identify numbers - up to 10 (K-I.1)
    • Choose the number that you hear - up to 10 (K-I.2)
    • Names of numbers - up to 10 (K-I.3)
    • Count pictures - up to 10 (K-J.2)
    • Count dots - up to 10 (K-J.4)
    • Count on ten frames - up to 10 (K-J.6)
    • Count blocks - up to 10 (K-J.7)
    • Identify numbers - up to 20 (K-DD.1)
    • Write the number you hear - up to 20 (K-DD.2)
    • Names of numbers - up to 20 (K-DD.3)
    • Count pictures - up to 20 (K-EE.4)
    • Count dots - 0 to 20 (K-EE.5)
    • Count on ten frames - up to 20 (K-EE.6)
    • Count blocks - up to 20 (K-EE.7)

• 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-B.1)
      • Count pictures - up to 3 (K-B.2)
      • Count on frames - up to 3 (K-B.5)
      • Count out stickers - up to 3 (K-B.6)
      • Show numbers on frames - up to 3 (K-B.8)
      • Learn to count to 5 (K-D.1)
      • Count pictures - up to 5 (K-D.2)
      • Count dots - 0 to 5 (K-D.5)
      • Count on frames - up to 5 (K-D.6)
      • Count out stickers - up to 5 (K-D.9)
      • Show numbers on frames - up to 5 (K-D.11)
      • Learn to count to 10 (K-J.1)
      • Count pictures - up to 10 (K-J.2)
      • Count dots - up to 10 (K-J.4)
      • Count on ten frames - up to 10 (K-J.6)
      • Count out stickers - up to 10 (K-J.11)
      • Show numbers on ten frames - up to 10 (K-J.13)
      • Count pictures - up to 20 (K-EE.4)
      • Count dots - 0 to 20 (K-EE.5)
      • Count on ten frames - up to 20 (K-EE.6)
      • Count pictures in arrays and circles - up to 20 (K-EE.8)
      • Show numbers on ten frames - up to 20 (K-EE.9)

    • 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-B.1)
      • Represent numbers with pictures - up to 3 (K-B.9)
      • Represent numbers with shapes - up to 3 (K-B.10)
      • Learn to count to 5 (K-D.1)
      • Represent numbers with pictures - up to 5 (K-D.12)
      • Represent numbers with shapes - up to 5 (K-D.14)
      • Learn to count to 10 (K-J.1)
      • Represent numbers - up to 10 (K-J.14)
      • Represent numbers - up to 20 (K-EE.10)

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

      • Count pictures - up to 3 (K-B.2)
      • Count shapes - up to 3 (K-B.3)
      • Count on frames - up to 3 (K-B.5)
      • Count pictures - up to 5 (K-D.2)
      • Count shapes in rows - up to 5 (K-D.3)
      • Count cubes - up to 5 (K-D.4)
      • Count dots - 0 to 5 (K-D.5)
      • Count on frames - up to 5 (K-D.6)
      • Count scattered pictures - up to 5 (K-D.7)
      • Count scattered shapes - up to 5 (K-D.8)
      • One more with pictures - up to 5 (K-E.1)
      • One more on frames - up to 5 (K-E.2)
      • One more - up to 5 (K-E.3)
      • One more with pictures - up to 10 (K-K.1)
      • One more on frames - up to 10 (K-K.2)
      • One more - up to 10 (K-K.3)
      • One more - up to 20 (K-FF.1)

  • 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 out stickers - up to 3 (K-B.6)
      • Show numbers with cubes - up to 3 (K-B.7)
      • Show numbers on frames - up to 3 (K-B.8)
      • Represent numbers with pictures - up to 3 (K-B.9)
      • Represent numbers with shapes - up to 3 (K-B.10)
      • Count out stickers - up to 5 (K-D.9)
      • Show numbers with cubes - up to 5 (K-D.10)
      • Show numbers on frames - up to 5 (K-D.11)
      • Represent numbers with pictures - up to 5 (K-D.12)
      • Represent numbers with pictures - 0 to 5 (K-D.13)
      • Represent numbers with shapes - up to 5 (K-D.14)
      • Count out stickers - up to 10 (K-J.11)
      • Show numbers with cubes - up to 10 (K-J.12)
      • Show numbers on ten frames - up to 10 (K-J.13)
      • Represent numbers - up to 10 (K-J.14)
      • Show numbers on ten frames - up to 20 (K-EE.9)
      • Represent numbers - up to 20 (K-EE.10)

    • 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-E.1)
      • One more on frames - up to 5 (K-E.2)
      • One more - up to 5 (K-E.3)
      • One more with pictures - up to 10 (K-K.1)
      • One more on frames - up to 10 (K-K.2)
      • One more - up to 10 (K-K.3)
      • One more - up to 20 (K-FF.1)

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

      • Count on frames - up to 3 (K-B.5)
      • Count shapes in rows - up to 5 (K-D.3)
      • Count cubes - up to 5 (K-D.4)
      • Count on frames - up to 5 (K-D.6)
      • Count cubes - up to 10 (K-J.3)
      • Count shapes in rows - up to 10 (K-J.5)
      • Count on ten frames - up to 10 (K-J.6)
      • Count shapes in rings - up to 10 (K-J.10)
      • Count dots - 0 to 20 (K-EE.5)
      • Count on ten frames - up to 20 (K-EE.6)
      • Count pictures in arrays and circles - up to 20 (K-EE.8)

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

      • Count pictures - up to 3 (K-B.2)
      • Count shapes - up to 3 (K-B.3)
      • Count pictures - up to 5 (K-D.2)
      • Count cubes - up to 5 (K-D.4)
      • Count dots - 0 to 5 (K-D.5)
      • Count scattered pictures - up to 5 (K-D.7)
      • Count scattered shapes - up to 5 (K-D.8)
      • Count pictures - up to 10 (K-J.2)
      • Count cubes - up to 10 (K-J.3)
      • Count dots - up to 10 (K-J.4)
      • Count scattered pictures - up to 10 (K-J.8)
      • Count scattered shapes - up to 10 (K-J.9)

• 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.

    • Are there the same number? - up to 5 (K-F.1)
    • More - compare by matching up to 5 (K-F.3)
    • Fewer - compare by matching up to 5 (K-F.4)
    • Fewer and more - compare by matching up to 5 (K-F.5)
    • Fewer, more, and same - up to 5 (K-F.6)
    • Greater - compare by matching up to 5 (K-F.7)
    • Less - compare by matching up to 5 (K-F.8)
    • Are there enough? - up to 5 (K-F.9)
    • Fewer and more - compare by counting up to 5 (K-F.10)
    • Fewer and more - compare in a mixed group up to 5 (K-F.11)
    • Greater than, less than, or equal to - compare by counting up to 5 (K-F.12)
    • Count pictures and show a number that is greater, less, or equal - up to 5 (K-F.13)
    • Show a number greater than, less than, or equal to a given number up to 5 (K-F.14)
    • Fewer and more - compare by matching (K-M.1)
    • Fewer, more, and same (K-M.2)
    • Greater and less - compare by matching up to 10 (K-M.3)
    • Are there enough? (K-M.4)
    • Fewer and more - compare by counting (K-M.6)
    • Fewer and more - compare in a mixed group (K-M.7)
    • Greater than, less than, or equal to - compare by counting up to 10 (K-M.8)
    • Count pictures and show a number that is greater, less, or equal - up to 10 (K-M.9)
    • Show a number greater than, less than, or equal to a given number up to 10 (K-M.10)

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

    • Compare two numbers - up to 5 (K-F.15)
    • Greater and less - compare two numbers up to 5 (K-F.16)
    • Compare two numbers - up to 10 (K-M.11)
    • Greater and less - compare two numbers up to 10 (K-M.12)

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-O.1)
      • Add with pictures - sums up to 5 (K-O.3)
      • Add two numbers - sums up to 5 (K-O.4)
      • Add with cubes - sums up to 10 (K-S.1)
      • Add with pictures - sums up to 10 (K-S.3)
      • Add two numbers - sums up to 10 (K-S.5)
      • Subtract with cubes - numbers up to 5 (K-W.1)
      • Subtract with pictures - numbers up to 5 (K-W.2)
      • Subtract - numbers up to 5 (K-W.3)
      • Subtract with cubes - numbers up to 10 (K-Z.1)
      • Subtract with pictures - numbers up to 10 (K-Z.2)
      • Subtract - numbers up to 10 (K-Z.4)

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

      • Put together numbers using cubes - sums up to 5 (K-N.1)
      • Build cube trains to add up to 5 - words (K-N.2)
      • Addition sentences up to 5 - which model matches? (K-N.3)
      • Addition sentences up to 5 - what does the model show? (K-N.4)
      • Build cube trains to add up to 5 - addition sentences (K-O.2)
      • Put together numbers using cubes - sums up to 10 (K-R.1)
      • Build cube trains to add up to 10 - words (K-R.2)
      • Addition sentences up to 10 - which model matches? (K-R.3)
      • Addition sentences up to 10 - what does the model show? (K-R.4)
      • Build cube trains to add up to 10 - addition sentences (K-S.2)
      • Take away cubes - numbers up to 5 (K-V.1)
      • Subtraction sentences up to 5 - which model matches? (K-V.2)
      • Subtraction sentences up to 5 - what does the cube train show? (K-V.4)
      • Take away cubes - numbers up to 10 (K-Y.1)
      • Subtraction sentences up to 10 - which model matches? (K-Y.2)
      • Subtraction sentences up to 10 - what does the model show? (K-Y.3)
      • Subtraction sentences up to 10 - what does the cube train show? (K-Y.4)

  • NC.K.OA.2 Solve addition and subtraction word problems, within 10, using objects or drawings to represent the problem, when solving: Add to/Take From-Result Unknown and Put Together/ Take Apart (Total Unknown and Two Addends Unknown).

    • Build cube trains to solve addition word problems - sums up to 5 (K-Q.1)
    • Addition word problems with pictures - sums up to 5 (K-Q.2)
    • Write addition sentences for word problems with pictures - sums up to 5 (K-Q.3)
    • Addition word problems - sums up to 5 (K-Q.4)
    • Model and write addition sentences for word problems - sums up to 5 (K-Q.5)
    • Build cube trains to solve addition word problems - sums up to 10 (K-U.1)
    • Addition word problems with pictures - sums up to 10 (K-U.2)
    • Write addition sentences for word problems with pictures - sums up to 10 (K-U.3)
    • Addition word problems - sums up to 10 (K-U.4)
    • Model and write addition sentences for word problems - sums up to 10 (K-U.5)
    • Subtraction word problems with pictures - numbers up to 5 (K-X.1)
    • Write subtraction sentences for word problems with pictures - up to 5 (K-X.2)
    • Use cube trains to solve subtraction word problems - up to 5 (K-X.3)
    • Subtraction word problems - numbers up to 5 (K-X.4)
    • Model and write subtraction sentences for word problems - up to 5 (K-X.5)
    • Subtraction word problems with pictures - numbers up to 10 (K-AA.1)
    • Write subtraction sentences for word problems with pictures - up to 10 (K-AA.2)
    • Use cube trains to solve subtraction word problems - up to 10 (K-AA.3)
    • Subtraction word problems - numbers up to 10 (K-AA.4)
    • Model and write subtraction sentences for word problems - up to 10 (K-AA.5)

  • 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-P.1)
    • Make a number different ways using cubes - sums up to 5 (K-P.2)
    • Take apart numbers up to 5 - addition sentences (K-P.3)
    • Take apart numbers using cubes - sums up to 10 (K-T.1)
    • Make a number different ways using cubes - sums up to 10 (K-T.2)
    • Decompose a number up to 10 (K-T.4)
    • Take apart numbers up to 10 - addition sentences (K-T.5)
    • Take apart numbers in different ways - sums up to 10 (K-T.7)

  • 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-L.4)
    • Complete the addition sentence to make 10 - with models (K-S.6)
    • Take apart 10 using cubes (K-T.3)
    • Take apart 10 - addition sentences (K-T.6)

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

    • Addition word problems - sums up to 5 (K-Q.4)
    • Subtraction word problems - numbers up to 5 (K-X.4)
    • Related facts with models - numbers up to 5 (K-BB.4)

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

    • Add with cubes - sums up to 5 (K-O.1)
    • Add with pictures - sums up to 5 (K-O.3)

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: using objects or drawings; recording each composition or decomposition by a drawing or expression; understanding that these numbers are composed of ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

    • Make teen numbers with models: words (K-II.1)
    • Make teen numbers: words (K-II.2)
    • Take apart teen numbers with models: words (K-II.3)
    • Take apart teen numbers: words (K-II.4)
    • Understand tens and ones - up to 20 (K-II.5)
    • Make and take apart teen numbers: tens and ones (K-II.6)
    • Make teen numbers with models: addition sentences (K-II.7)
    • Take apart teen numbers with models: addition sentences (K-II.9)

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-WW.1)
    • Tall and short (K-WW.2)
    • Wide and narrow (K-WW.3)
    • Light and heavy (K-WW.4)
    • Holds more or less (K-WW.5)
    • Covers more or less (K-WW.6)
    • Compare size, weight, and capacity (K-WW.7)
    • Should you measure size, weight, or capacity? (K-WW.8)

  • 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-WW.1)
    • Tall and short (K-WW.2)
    • Wide and narrow (K-WW.3)
    • Light and heavy (K-WW.4)
    • Holds more or less (K-WW.5)
    • Covers more or less (K-WW.6)
    • Compare size, weight, and capacity (K-WW.7)

• 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-M.6)
    • Fewer and more - compare in a mixed group (K-M.7)
    • Different (K-OO.1)
    • Same (K-OO.2)
    • Same and different (K-OO.3)
    • Sort circles (K-PP.8)
    • Sort two-dimensional shapes (K-PP.9)
    • Classify shapes by color (K-UU.1)
    • Classify and sort by color (K-UU.2)
    • Classify and sort by shape (K-UU.3)
    • Classify and sort (K-UU.4)
    • Classify, sort, and count (K-UU.5)
    • Sort, count, and compare (K-UU.6)
    • Count shapes in a Venn diagram (K-UU.7)
    • Sort shapes into a Venn diagram (K-UU.8)
    • Make picture graphs (K-VV.2)

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.

    • In front of and behind (K-NN.1)
    • Inside and outside (K-NN.2)
    • Above and below (K-NN.3)
    • Beside and next to (K-NN.4)
    • Left, middle, and right (K-NN.5)
    • Top, middle, and bottom (K-NN.6)
    • Location in a grid (K-NN.7)
    • Two-dimensional shapes in the real world (K-SS.1)
    • Three-dimensional shapes in the real world I (K-SS.2)
    • Three-dimensional shapes in the real world II (K-SS.3)
    • Three-dimensional shapes - above and below (K-SS.4)
    • Three-dimensional shapes - beside and next to (K-SS.5)

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

    • Circles (K-PP.1)
    • Triangles (K-PP.2)
    • Rectangles (K-PP.3)
    • Squares (K-PP.4)
    • Hexagons (K-PP.5)
    • Select two-dimensional shapes (K-PP.6)
    • Name the two-dimensional shape (K-PP.7)
    • Sort circles (K-PP.8)
    • Sort two-dimensional shapes (K-PP.9)
    • Spheres (K-RR.3)
    • Cubes (K-RR.4)
    • Cones (K-RR.5)
    • Cylinders (K-RR.6)
    • Select three-dimensional shapes (K-RR.7)
    • Name the three-dimensional shape (K-RR.8)

  • 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-RR.1)
    • Two-dimensional and three-dimensional shapes (K)

• 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.

    • Curved parts (K-QQ.1)
    • Count corners (K-QQ.2)
    • Square corners (K-QQ.3)
    • Count sides (K-QQ.4)
    • Equal sides (K-QQ.5)
    • Count sides and corners (K-QQ.6)
    • Compare sides and corners (K-QQ.7)
    • Compare shapes using attributes (K-QQ.8)
    • Describe solid shapes (K-RR.2)
    • Identify shapes traced from solids (K-RR.9)

  • 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 simple two-dimensional shapes (K-PP.10)
    • Build and take apart three-dimensional shapes (K-RR.10)