Virginia

CD3. Mathematics

• CD3.1. Comparing numbers, counting, and recognizing quantities

  • CD3.1q Counts forward to 20 by memory

    • What number comes next? - up to 5 (P-B.)
    • What number comes next? - up to 10 (P-C.)
    • Count forward - up to 10 (K-C.28)
    • Count forward - up to 20 (K-D.12)

  • CD3.1r Counts backwards from 5

    • Count down - numbers up to 5 (P)

  • CD3.1s Shows accuracy in demonstrating one-to-one correspondence for up to 10 objects

    • Learn to count - up to 3 (P-A.2)
    • Count using stickers - up to 3 (P-A.6)
    • Learn to count - up to 5 (P-B.2)
    • Count using stickers - up to 5 (P-B.7)
    • Learn to count - up to 10 (P-C.2)
    • Count using stickers - up to 10 (P-C.8)

  • CD3.1t Counts up to 10 objects in a line

    • Count on ten frames - up to 3 (P-A.7)
    • Count shapes in rows - up to 5 (P-B.5)
    • Count on ten frames - up to 5 (P-B.10)
    • Count shapes in rows - up to 10 (P-C.5)
    • Count on ten frames - up to 10 (P-C.11)

  • CD3.1u Answers the question "How many?" for up to 10 objects

    • 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 pictures - up to 5 (P-B.3)
    • Count dots - up to 5 (P-B.4)
    • Count scattered shapes - up to 5 (P-B.6)
    • Count cubes - up to 5 (P-B.8)
    • Count pictures - up to 10 (P-C.3)
    • Count dots - up to 10 (P-C.4)
    • Count scattered shapes - up to 10 (P-C.6)
    • Count shapes in rings - up to 10 (P-C.7)
    • Count cubes - up to 10 (P-C.9)

  • CD3.1v Counts out 10-20 objects in a line from a larger group

    • Count pictures - up to 20 (P-D.2)
    • Count dots - up to 20 (P-D.3)
    • Count shapes - up to 20 (P-D.4)
    • Count on ten frames - up to 20 (P-D.5)

  • CD3.1w Instantly recognizes a collection of up to 10 objects (i.e. subitizes)

    • Represent numbers with pictures - up to 3 (P-A.9)
    • Represent numbers with shapes - up to 3 (P-A.10)
    • Represent numbers with pictures - up to 5 (P-B.12)
    • Represent numbers with shapes - up to 5 (P-B.13)
    • Represent numbers - up to 10 (P-C.13)

  • CD3.1x Uses words that mean zero such as "nothing" or "none"

  • CD3.1y Shows a quantity to match a numeral by making marks, drawing items, or placing actual objects

    • Show numbers on ten frames - up to 3 (P-A.8)
    • Show numbers with cubes - up to 5 (P-B.9)
    • Show numbers on ten frames - up to 5 (P-B.11)
    • Show numbers with cubes - up to 10 (P-C.10)
    • Show numbers on ten frames - up to 10 (P-C.12)

  • CD3.1z Compares sets of objects that range in size from 1-10, as having "more", "fewer" or "same"

    • 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)
    • Fewer, more, and same (P-E.6)

  • CD3.1aa Arranges images with 3 or more different quantities of objects in correct order

• CD3.2. Understanding number relationships and solving problems using operations

  • CD3.2c Solves addition (joining) problems using manipulatives (e.g., fingers, objects, tally marks)

    • Put together numbers using cubes - sums up to 5 (P-M.1)
    • Build cube trains to add up to 5 - words (P-M.2)
    • Add with cubes - sums up to 5 (P-M.3)
    • Build cube trains to add up to 5 - addition sentences (P-M.4)
    • Add with pictures - sums up to 5 (P-M.5)
    • Put together numbers using cubes - sums up to 10 (P-N.1)
    • Build cube trains to add up to 10 - words (P-N.2)
    • Add with cubes - sums up to 10 (P-N.3)
    • Build cube trains to add up to 10 - addition sentences (P-N.4)
    • Add with pictures - sums up to 10 (P-N.5)

  • CD3.2d Solves subtraction (separating) problems using manipulatives (e.g., fingers, objects, tally marks)

    • Take away cubes - numbers up to 5 (P-O.1)
    • Subtract with cubes - numbers up to 5 (P-O.2)
    • Subtract with pictures - numbers up to 5 (P-O.3)
    • Take away cubes - numbers up to 10 (P-P.1)
    • Subtract with cubes - numbers up to 10 (P-P.2)
    • Subtract with pictures - numbers up to 10 (P-P.3)

  • CD3.2e With adult help, uses "counting on" as a strategy to solve addition (joining) problems (e.g., "I have 3 and 2 more gives me 4, 5")

    • One more with pictures - up to 5 (P-B.14)
    • One more with pictures - up to 10 (P-C.14)
    • Addition word problems with pictures - sums up to 5 (P-M.8)
    • Addition word problems with pictures - sums up to 10 (P-N.8)

  • CD3.2f With adult help, uses "counting back from" as a strategy to solve subtraction (separating) problems (e.g., To take away 3 from 5, "5,4,3...leaves 2")

    • One less with pictures - up to 5 (P-B.15)
    • One less with pictures - up to 10 (P-C.15)
    • Subtraction word problems with pictures - numbers up to 5 (P-O.5)
    • Subtraction word problems with pictures - numbers up to 10 (P-P.5)

• CD3.3. Geometric thinking and spatial reasoning

  • CD3.3s Uses smaller shapes to compose larger and different shapes (e.g., two triangles make one square)

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

  • CD3.3t Correctly names squares, rectangles and triangles regardless of size or orientation

    • Triangles (P-K.3)
    • Squares (P-K.4)
    • Rectangles (P-K.5)
    • Sort flat shapes (P-K.)

  • CD3.3u Describes attributes of two and three dimensional shapes (e.g., "A square has four corners/angles", "a triangle has three straight sides")

    • Count sides (P-K.8)
    • Count corners (P-K.9)
    • Count sides and corners (P-K.10)
    • Identify shapes traced from solids (P-L.8)

  • CD3.3v Draws and describes pictures that show relative locations and uses terms like "near to" or "closer to"

    • Beside and next to (P-F.7)

• CD3.4. Sorting, classifying, and patterning

  • CD3.4l Identifies, duplicates, extends, and creates simple repeating patterns

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

  • CD3.4m Fills in missing elements of simple, repeating patterns

  • CD3.4n Recognizes, names, and extends simple repeating patterns

    • What comes next? (P-H.4)

  • CD3.4o Describes quantitative changes (e.g., "I am two years older than when I started school.")

• CD3.5. Describing, comparing, and measuring

  • CD3.5g Directly compares the length or volume of two objects

    • Long and short (P-I.1)
    • Tall and short (P-I.2)
    • Holds more or less (P-I.5)

  • CD3.5h Uses comparative language to describe and compare objects using attributes (e.g., longer, shorter, lighter, heavier, etc.)

    • 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)

  • CD3.5i With adult support, measures using the same non-standard unit, such as putting together snap cubes to see how tall a book is

    • Measure length with objects (K-U.7)
    • Measure length with cubes (K-U.8)
    • Build cube trains to measure length (K-U.9)
    • Measure height with cubes (K-U.10)
    • Build cube trains to measure height (K-U.11)

  • CD3.5j With adult support, compares or orders up to 5 objects based on their measurable attributes, such as height or weight

    • Compare size, weight, and capacity (P-I.6)

  • CD3.5k With adult support, recognizes that different attributes such as weight, height, and volume require different tools to measure

  • CD3.5l With adult support, demonstrates "size seriation" by comparing and ordering objects according to measured attribute/characteristic (e.g., places books on shelf according to measured size)

    • Longest and shortest (K)
    • Tallest and shortest (K)

  • CD3.5m With adult support, explores tools of measurement such as rulers, scales, and measuring cup, using the appropriate tool for the attribute/characteristic being measured

  • CD3.5n With instruction, shows an awareness of time by talking about events with words such as before, after, and later