New York

K.CC Counting and Cardinality

• Know number names and the count sequence.

  • K.CC.1 Count to 100 by ones and by tens.

    • 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)
    • What number comes next? - up to 5 (K-B.)
    • 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)
    • What number comes next? - up to 10 (K-C.)
    • 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 groups of ten (K-F.2)
    • 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)
    • Sequences - count by ones and tens (K-F.11)
    • Count blocks - up to 100 (K-F.12)
    • Learn to skip-count by tens (K-G.6)
    • Skip-count by tens (K-G.7)

  • K.CC.2 Count to 100 by ones beginning from any given number (instead of beginning 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)

  • 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.

  • K.CC.4 Understand the relationship between numbers and quantities up to 20; connect counting to cardinality.

    • K.CC.4a 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. (1:1 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)

    • K.CC.4b Understand that the last number name said tells the number of objects counted (cardinality). The number of objects is the same regardless of their arrangement or the order in which they were counted.

      • 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)

    • K.CC.4c Understand the concept that each successive number name refers to a quantity that is one larger.

      • 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.)

    • K.CC.4d Understand the concept of ordinal numbers (first through tenth) to describe the relative position and magnitude of whole numbers.

      • Ordinal numbers - up to fifth (K-B.19)
      • Ordinal numbers - up to tenth (K-C.32)

  • K.CC.5a Answer counting questions using as many as 20 objects arranged in a line, a rectangular array, and a circle. Answer counting questions using as many as 10 objects in a scattered configuration.

    • Count pictures - up to 3 (K-A.3)
    • Count shapes - up to 3 (K-A.4)
    • Count on ten frames - up to 3 (K-A.7)
    • Count pictures - up to 5 (K-B.3)
    • Count shapes in rows - up to 5 (K-B.4)
    • Count scattered shapes - up to 5 (K-B.5)
    • Count cubes - up to 5 (K-B.7)
    • Count on ten frames - up to 5 (K-B.10)
    • Count pictures - up to 10 (K-C.3)
    • Count dots - up to 10 (K-C.4)
    • Count shapes in rows - up to 10 (K-C.5)
    • Count scattered shapes - up to 10 (K-C.6)
    • Count shapes in rings - up to 10 (K-C.7)
    • Count blocks - up to 10 (K-C.8)
    • Count cubes - up to 10 (K-C.10)
    • 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)

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

    • Count using stickers - up to 3 (K-A.5)
    • Show numbers with cubes - up to 3 (K-A.6)
    • Show numbers on ten frames - up to 3 (K-A.8)
    • Represent numbers with pictures - up to 3 (K-A.9)
    • Represent numbers with shapes - up to 3 (K-A.10)
    • 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)
    • Represent numbers with pictures - up to 5 (K-B.12)
    • Represent numbers with shapes - up to 5 (K-B.13)
    • 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)
    • Represent numbers - up to 10 (K-C.14)
    • Show numbers on ten frames - up to 20 (K-D.5)
    • Represent numbers - up to 20 (K-D.6)

• Compare numbers.

  • K.CC.6 Identify whether the number of objects in one group is greater than (more than), less than (fewer than), or equal to (the same as) the number of objects in another group.

    • 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)

  • K.CC.7 Compare two numbers between 1 and 10 presented as written numerals.

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

K.OA Operations and Algebraic Thinking

• Understand addition as putting together and adding to, and understand subtraction as taking apart and taking from.

  • K.OA.1 Represent addition and subtraction using objects, fingers, pennies, drawings, sounds, acting out situations, verbal explanations, expressions, equations, or other strategies.

    • Put together numbers using cubes - sums up to 5 (K-J.1)
    • Build cube trains to add up to 5 - words (K-J.2)
    • Add with cubes - sums up to 5 (K-J.4)
    • Build cube trains to add up to 5 - addition sentences (K-J.5)
    • Add with pictures - sums up to 5 (K-J.6)
    • Addition sentences up to 5 - which model matches? (K-J.7)
    • Addition sentences up to 5 - what does the model show? (K-J.8)
    • Write addition sentences for pictures - sums up to 5 (K-J.)
    • Put together numbers using cubes - sums up to 10 (K-K.1)
    • Build cube trains to add up to 10 - words (K-K.2)
    • Add with cubes - sums up to 10 (K-K.6)
    • Build cube trains to add up to 10 - addition sentences (K-K.7)
    • Add with pictures - sums up to 10 (K-K.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)
    • Write addition sentences for pictures - sums up to 10 (K-K.)
    • Turn words into an addition sentence - sums up to 10 (K-K.17)
    • Take away cubes - numbers up to 5 (K-L.1)
    • Subtract with cubes - numbers up to 5 (K-L.2)
    • Subtract with pictures - numbers up to 5 (K-L.3)
    • Subtraction sentences up to 5 - which model matches? (K-L.4)
    • Subtraction sentences up to 5 - what does the model show? (K-L.5)
    • Subtraction sentences up to 5 - what does the cube train show? (K-L.)
    • Take away cubes - numbers up to 10 (K-M.1)
    • Subtract with cubes - numbers up to 10 (K-M.2)
    • Subtract with pictures - numbers up to 10 (K-M.3)
    • Subtraction sentences up to 10 - which model matches? (K-M.4)
    • Subtraction sentences up to 10 - what does the model show? (K-M.5)
    • Subtraction sentences up to 10 - what does the cube train show? (K-M.)
    • Turn words into a subtraction sentence - numbers up to 10 (K-M.9)

  • K.OA.2a Add and subtract within 10.

    • Add with pictures - sums up to 5 (K-J.6)
    • Addition sentences up to 5 - which model matches? (K-J.7)
    • Addition sentences up to 5 - what does the model show? (K-J.8)
    • 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)
    • Add with pictures - sums up to 10 (K-K.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)
    • Make a number using addition - sums up to 10 (K-K.14)
    • Complete the addition sentence - make 10 (K-K.15)
    • Complete the addition sentence - sums up to 10 (K-K.16)
    • Subtract with pictures - numbers up to 5 (K-L.3)
    • Subtraction sentences up to 5 - which model matches? (K-L.4)
    • 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)
    • Subtract with pictures - numbers up to 10 (K-M.3)
    • Subtraction sentences up to 10 - which model matches? (K-M.4)
    • Subtract - numbers up to 10 (K-M.6)
    • Make a number using subtraction - numbers up to 10 (K-M.7)
    • Complete the subtraction sentence - numbers up to 10 (K-M.8)
    • Add or subtract - numbers up to 5 (K-N.1)
    • Add or subtract - numbers up to 10 (K-N.2)
    • Addition and subtraction - ways to make a number (K-N.3)

  • K.OA.2b Solve addition and subtraction word problems within 10.

    • Addition word problems with pictures - sums up to 5 (K-J.13)
    • Build cube trains to solve addition word problems - sums up to 5 (K-J.)
    • Addition word problems - sums up to 5 (K-J.14)
    • Addition word problems with pictures - sums up to 10 (K-K.18)
    • Build cube trains to solve addition word problems - sums up to 10 (K-K.)
    • Addition word problems - sums up to 10 (K-K.19)
    • Subtraction word problems with pictures - numbers up to 5 (K-L.9)
    • Use cube trains to solve subtraction word problems - up to 5 (K-L.)
    • Subtraction word problems - numbers up to 5 (K-L.10)
    • Subtraction word problems with pictures - numbers up to 10 (K-M.10)
    • Use cube trains to solve subtraction word problems - up to 10 (K-M.)
    • Subtraction word problems - numbers up to 10 (K-M.11)
    • Addition and subtraction word problems with pictures (K-N.4)
    • Addition and subtraction word problems (K-N.5)

  • K.OA.3 Decompose numbers less than or equal to 10 into pairs in more than one way. Record each decomposition with a drawing or equation.

    • 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)

  • K.OA.4 Find the number that makes 10 when given a number from 1 to 9. Record the answer with a drawing or equation.

    • 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)

  • K.OA.5 Fluently add and subtract 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)

• Understand simple patterns.

  • K.OA.6 Duplicate, extend, and create simple patterns using concrete objects.

    • Color patterns (K-I.1)
    • Size patterns (K-I.2)
    • Shape patterns (K-I.3)
    • Find the next shape in a pattern (K-I.4)
    • Complete a pattern (K-I.5)

K.NBT Number and Operations in Base Ten

• Work with numbers 11–19 to gain foundations for place value.

  • K.NBT.1 Compose and decompose the numbers from 11 to 19 into ten ones and one, two, three, four, five, six, seven, eight, or nine ones.

    • Count tens and ones - up to 20 (K-E.1)
    • Write tens and ones - up to 20 (K-E.2)
    • Make teen numbers: words (K-E.3)
    • Take apart teen numbers: words (K-E.4)
    • Make teen numbers: addition sentences (K-E.5)
    • Take apart teen numbers: addition sentences (K-E.6)
    • Make and take apart teen numbers: addition sentences (K-E.7)

K.MD Measurement and Data

• Describe and compare measurable attributes.

  • K.MD.1 Describe measurable attributes of an object(s), such as length or weight, using appropriate vocabulary.

    • 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)

  • K.MD.2 Directly compare two objects with a common measurable 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.

  • K.MD.3 Classify objects into given categories; count the 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)

  • K.MD.4 Explore coins (pennies, nickels, dimes, and quarters) and begin identifying pennies and dimes.

    • Pennies and nickels (P-J.1)
    • Dimes and quarters (P-J.2)
    • Coin names - penny through quarter (K-V.1)

K.G Geometry

• Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

  • K.G.1 Describe objects in the environment using names of shapes, and describe the relative positions of these objects using terms such as above, below, beside, in front of, behind, and next to.

    • 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)

  • K.G.2 Name shapes regardless of their orientation 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)

  • K.G.3 Understand the difference between two-dimensional (lying in a plane, "flat") and three-dimensional ("solid") shapes.

    • Flat and solid shapes (K-X.1)

• Analyze, compare, sort, and compose shapes.

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

    • 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)

  • K.G.5 Model objects in their environment by building and/or drawing shapes.

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

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