The Common Core in Illinois

PK.6 Demonstrate and apply a knowledge and sense of numbers, including numeration and operations.

• PK.6.A Demonstrate beginning understanding of numbers, number names, and numerals.

  • PK.6.A.ECa Count with understanding and recognize "how many" in small sets up to 5.

    • Learn to count - up to 3 (P-A.2)
    • Count pictures - up to 3 (P-A.3)
    • Count dots - up to 3 (P-A.4)
    • Count shapes - up to 3 (P-A.5)
    • Count on ten frames - up to 3 (P-A.7)
    • Represent numbers with pictures - up to 3 (P-A.9)
    • Learn to count - up to 5 (P-B.2)
    • Count pictures - up to 5 (P-B.3)
    • Count dots - up to 5 (P-B.4)
    • Count shapes in rows - up to 5 (P-B.5)
    • Count on ten frames - up to 5 (P-B.10)
    • Represent numbers with pictures - up to 5 (P-B.12)

  • PK.6.A.ECb Use subitizing (the rapid and accurate judgment of how many items there are without counting) to identify the number of objects in sets of 4 or less.

    • Count pictures - up to 3 (P-A.3)
    • Count dots - up to 3 (P-A.4)
    • Count shapes - up to 3 (P-A.5)
    • Represent numbers with pictures - up to 3 (P-A.9)

  • PK.6.A.ECc Understand and appropriately use informal or everyday terms that mean zero, such as "none" or "nothing".

  • PK.6.A.ECd Connect numbers to quantities they represent using physical models and informal representations.

    • Count pictures - up to 3 (P-A.3)
    • Count dots - up to 3 (P-A.4)
    • Count shapes - up to 3 (P-A.5)
    • Count on ten frames - up to 3 (P-A.7)
    • Represent numbers with pictures - up to 3 (P-A.9)
    • Count pictures - up to 5 (P-B.3)
    • Count dots - up to 5 (P-B.4)
    • Count shapes in rows - up to 5 (P-B.5)
    • Count on ten frames - up to 5 (P-B.10)
    • Represent numbers with pictures - up to 5 (P-B.12)
    • Count pictures - up to 10 (P-C.3)
    • Count dots - up to 10 (P-C.4)
    • Count shapes in rows - up to 10 (P-C.5)
    • Count on ten frames - up to 10 (P-C.11)
    • Represent numbers - up to 10 (P-C.13)
    • Count pictures - up to 20 (P-D.2)
    • Represent numbers - up to 20 (P-D.7)

  • PK.6.A.ECe Differentiate numerals from letters and recognize some single-digit written numerals.

    • Names of numbers - up to 10 (K-C.30)

  • PK.6.A.ECf Verbally recite numbers from 1 to 10.

  • PK.6.A.ECg Be able to say the number after another in the series up to 9 when given a "running start," as in "What comes after one, two, three, four…?".

    • 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)
    • Count up - up to 10 (K-C.22)
    • Number lines - up to 10 (K-C.26)
    • Before, after, and between - up to 10 (K-C.27)
    • Count forward - up to 10 (K-C.28)
    • Count forward and backward - up to 10 (K-C.29)
    • Complete a sequence - up to 10 (K-C.31)

• PK.6.B Add and subtract to create new numbers and begin to construct sets.

  • PK.6.B.ECa Recognize that numbers (or sets of objects) can be combined or separated to make another number.

    • Add with pictures - sums up to 5 (K-J.6)
    • Addition sentences up to 5 - which model matches? (K-J.7)
    • Make a number using addition - sums up to 5 (K-J.11)
    • Add with pictures - sums up to 10 (K-K.8)
    • Addition sentences up to 10 - which model matches? (K-K.9)
    • Make a number using addition - sums up to 10 (K-K.14)
    • Subtract with pictures - numbers up to 5 (K-L.3)
    • Subtraction sentences up to 5 - which model matches? (K-L.4)
    • Subtract with pictures - numbers up to 10 (K-M.3)
    • Subtraction sentences up to 10 - which model matches? (K-M.4)
    • Make a number using subtraction - numbers up to 10 (K-M.7)

  • PK.6.B.ECb Show understanding of how to count out and construct sets of objects of a given number up to 5.

    • Add with pictures - sums up to 5 (K-J.6)
    • Addition sentences up to 5 - which model matches? (K-J.7)

  • PK.6.B.ECc Identify the new number created when small sets (up to 5) are combined or separated.

    • Add with pictures - sums up to 5 (K-J.6)
    • Addition sentences up to 5 - which model matches? (K-J.7)
    • Make a number using addition - sums up to 5 (K-J.11)
    • Add with pictures - sums up to 10 (K-K.8)
    • Addition sentences up to 10 - which model matches? (K-K.9)
    • Make a number using addition - sums up to 10 (K-K.14)
    • Subtract with pictures - numbers up to 5 (K-L.3)
    • Subtraction sentences up to 5 - which model matches? (K-L.4)
    • Subtract with pictures - numbers up to 10 (K-M.3)
    • Subtraction sentences up to 10 - which model matches? (K-M.4)

  • PK.6.B.ECd Informally solve simple mathematical problems presented in a meaningful context.

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

  • PK.6.B.ECe Fairly share a set of up to 10 items between two children.

• PK.6.C Begin to make reasonable estimates of numbers.

  • PK.6.C.ECa Estimate number of objects in a small set.

• PK.6.D Compare quantities using appropriate vocabulary terms.

  • PK.6.D.ECa Compare two collections to see if they are equal or determine which is more, using a procedure of the child's choice.

    • More (P-E.1)
    • Fewer and more - compare by counting (P-E.4)
    • Fewer and more - compare in a mixed group (P-E.5)
    • Are there enough? (P-E.7)

  • PK.6.D.ECb Describe comparisons with appropriate vocabulary, such as "more", "less", "greater than", "fewer", "equal to", or "same as".

    • More (P-E.1)
    • Fewer (P-E.2)
    • Fewer and more - compare by counting (P-E.4)
    • Fewer and more - compare in a mixed group (P-E.5)
    • Which number is larger? (P-E.8)
    • Which number is smaller? (P-E.10)

PK.7 Explore measurement of objects and quantities.

• PK.7.A Measure objects and quantities using direct comparison methods and nonstandard units.

  • PK.7.A.ECa Compare, order, and describe objects according to a single attribute.

    • Classify shapes by color (P-G.4)
    • Classify and sort by color (P-G.5)
    • Long and short (P-I.1)
    • Tall and short (P-I.2)
    • Wide and narrow (P-I.3)
    • Light and heavy (P-I.4)
    • Holds more or less (P-I.5)
    • Compare size, weight, and capacity (P-I.6)

  • PK.7.A.ECb Use nonstandard units to measure attributes such as length and capacity.

    • Measure length with objects (K-U.7)

  • PK.7.A.ECc Use vocabulary that describes and compares length, height, weight, capacity, and size.

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

  • PK.7.A.ECd Begin to construct a sense of time through participation in daily activities.

    • A.M. or P.M. (K-Q.5)
    • Times of everyday events (K-Q.6)

• PK.7.B Begin to make estimates of measurements.

  • PK.7.B.ECa Practice estimating in everyday play and everyday measurement problems.

• PK.7.C Explore tools used for measurement.

  • PK.7.C.ECa With teacher assistance, explore use of measuring tools that use standard units to measure objects and quantities that are meaningful to the child.

  • PK.7.C.ECb Know that different attributes, such as length, weight, and time, are measured using different kinds of units, such as feet, pounds, and seconds.

PK.8 Identify and describe common attributes, patterns, and relationships in objects.

• PK.8.A Explore objects and patterns.

  • PK.8.A.ECa Sort, order, compare, and describe objects according to characteristics or attribute(s).

    • Different (P-G.1)
    • Same (P-G.2)
    • Same and different (P-G.3)
    • Classify shapes by color (P-G.4)
    • Classify and sort by color (P-G.5)
    • Classify and sort by shape (P-G.6)

  • PK.8.A.ECb Recognize, duplicate, extend, and create simple patterns in various formats.

    • Color patterns (P-H.1)
    • Size patterns (P-H.2)
    • Shape patterns (P-H.3)
    • What comes next? (P-H.4)

• PK.8.B Describe and document patterns using symbols.

  • PK.8.B.ECa With adult assistance, represent a simple repeating pattern by verbally describing it or by modeling it with objects or actions.

PK.9 Explore concepts of geometry and spatial relations.

• PK.9.A Recognize, name, and match common shapes.

  • PK.9.A.ECa Recognize and name common two- and three-dimensional shapes and describe some of their attributes (e.g., number of sides, straight or curved lines).

    • Name the shape (P-K.1)
    • Circles (P-K.2)
    • Triangles (P-K.3)
    • Squares (P-K.4)
    • Rectangles (P-K.5)
    • Circles, squares, and triangles (P-K.6)
    • Flat and solid shapes (P-L.1)
    • Name the solid shape (P-L.2)
    • Spheres (P-L.3)
    • Cubes (P-L.4)
    • Cones (P-L.5)
    • Cylinders (P-L.6)
    • Select solid shapes (P-L.7)
    • Count sides and corners (K-W.13)

  • PK.9.A.ECb Sort collections of two- and three-dimensional shapes by type (e.g., triangles, rectangles, circles, cubes, spheres, pyramids).

    • Classify and sort by shape (P-G.6)

  • PK.9.A.ECc Identify and name some of the faces (flat sides) of common three-dimensional shapes using two-dimensional shape names.

    • Identify shapes traced from solids (K-X.8)

  • PK.9.A.ECd Combine two-dimensional shapes to create new shapes.

  • PK.9.A.ECe Think about/imagine how altering the spatial orientation of a shape will change how it looks (e.g., turning it upside down).

• PK.9.B Demonstrate an understanding of location and ordinal position, using appropriate vocabulary.

  • PK.9.B.ECa Show understanding of location and ordinal position.

    • Inside and outside (P-F.1)
    • Left and right (P-F.2)
    • Left, middle, and right (P-F.3)
    • Top and bottom (P-F.4)
    • Top, middle, and bottom (P-F.5)
    • Above and below (P-F.6)
    • Beside and next to (P-F.7)

  • PK.9.B.ECb Use appropriate vocabulary for identifying location and ordinal position.

PK.10 Begin to make predictions and collect data information.

• PK.10.A Generate questions and processes for answering them.

  • PK.10.A.ECa With teacher assistance, come up with meaningful questions that can be answered through gathering information.

  • PK.10.A.ECb Gather data about themselves and their surroundings to answer meaningful questions.

• PK.10.B Organize and describe data and information.

  • PK.10.B.ECa Organize, represent, and analyze information using concrete objects, pictures, and graphs, with teacher support.

    • Which picture graph is correct? (K-S.1)
    • Interpret picture graphs (K-S.2)

  • PK.10.B.ECb Make predictions about the outcome prior to collecting information, with teacher support and multiple experiences over time.

• PK.10.C Determine, describe, and apply the probabilities of events.

  • PK.10.C.ECa Describe likelihood of events with appropriate vocabulary, such as "possible", "impossible", "always", and "never".

    • More or less likely (K-T.1)